Inquiry Driven Systems : Part 5

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5. Interlude : The Medium and Its Message

5.1. Reflective Expression

5.1.1. Casual Reflection

Recall that an ostensibly recursive text (ORT), already encountered a bit less formally in discussing the issue of the informal context, is a text that cites itself by title at some site within its body.

Consider a text in progress (TIP) at its growing edge, anywhere that it joins new text to a body of work already established, anywhere that it sends out buds and shoots from a secular truncation of its author's intention. Here is where a growing text advances through its media of language and communication, the potentially nurturing environments and the invariably constraining surroundings that make a definite array of resources available to a text, grant it certain options for continuing its development, and limit the effects of meaning that it can achieve. A text that can form in such a medium is part of what one has in mind whenever one opens a sentence with a phrase like “A text that can ___” and continues by elaborating on a text's abilities, capacities, or intentions as if this text is not a fixed or a static entity but one whose free selection and future development are still open to question.

A text that can cite itself by title is a limiting case of a text that can cite itself by chapter and verse, in other words, a text with a sufficient degree of articulation that it can make appropriate references to its own parts and sections, and can thus invoke the objects, the functions, and the structures that are represented in them. This should go to explain the interest I am taking in ORTs, their kin, and their generalizations. These kinds of texts exhibit an aspect of self reference that is usually taken for granted, to the point that it is hardly recognized as such, but one that is implied in all attempts “to make infinite use of finite means”. A program is generally a text of this sort. A non trivial program, one that wraps an infinite object in a finite sign, whether it numbers its lines and directs its execution by means of instructions that have its interpreter go to this or that place in its own text, or whether its modules call on each other by name, is always recursive in this sense.

The deeper that one looks into a species of text, the further that one's interest tends to shift from the distinctive features of individual texts to the properties of the medium that supports their growth. Although a medium is initially conceived to be a source of texts or a constraint on their production, that is, as a generative facility or a generated space, it is often possible to formalize it as the full grammar of a discursive language, in other words, as a comprehensive theory for that species of texts, accounting for their syntactic, semantic, and pragmatic aspects.

Still, what is the status in reality of these conceptual constructions: a medium, a grammar, or a theory for a species of texts? They have no meaning apart from the texts that they admit to exist. They are only known by means of the texts that they allow to subsist in them, that they enable to live and to grow, and everything that is learned about them ultimately needs to be expressed in a text, or something like it, even if not always a text of the very same order or species.

5.1.1.1. Ostensibly Recursive Texts

Bein' on the twenty third of June,
	As I sat weaving all at my loom,
Bein' on the twenty third of June,
	As I sat weaving all at my loom,
I heard a thrush, singing on yon bush,
	And the song she sang was The Jug of Punch.

Is there a true poem, a verse with the echo of divine inspiration, that resounds in the memories of this minor ditty, this song of the pubs and this ballad of the streets? Does ambrosia yet flow in the veins of the one who sings this ode on an amphoric urn? If there is, and if it does, then it is likely to involve a wholly different order of interpretation, one where the reference to a jug of punch, ostensibly denoting a simple demijohn, is sure to denote an object of much greater significance than its literal denotation can convey, and one where the cryptic imports of its invocations are intended to descant a more figurative, metaphorical, and transcendental sense.

For the sake of shortening future references to the epigraph at the top of this subsection, let the acronym “JOP” be taken as equivalent to the phrase “jug of punch”, and let the italicized tag “TJOP” be taken as tantamount to the title “The Jug of Punch”.

There are features of this style of abbreviation that need to be noted. Instead of letting the acronym “JOP” denote the phrase “jug of punch”, and rather than letting the italicized acronym “TJOP” denote the title “The Jug of Punch”, I am merely asking for the reader to take part in forming an augmented scheme of interpretation, one that adds new signs to a formerly established sign relation, but does it in a way that does nothing of serious consequence to its underlying semantic properties. This involves the construction of a semiotic partition (SEP), along with its corresponding semiotic equivalence relation (SER), in which the associated set of semiotic equivalence classes (SECs) serves to stake out a number of parts. In the present illustration there are two sets of synonyms, constellating a pair of mutually exclusive classes of signs that denote their respective objects in parallel, as in Table 17.

Table 17.  Semiotic Partition Implied by the ACE of J
	Object	SEC
	jug of punch	{"jug of punch",	"JOP"}
	The Jug of Punch	{"The Jug of Punch",	"TJOP"}

In each case, the abbreviated form and its expansion are set to connote each other all within a single level of signs, while both signs are set to denote their common object in a parallel fashion. This strategy for annexing compressed references to a sign relation can be referred to as an acronymically connotative extension (ACE) of that sign relation.

What more pleasure can a boy desire,
	Than sitting down beside the fire?
What more pleasure can a boy desire,
	Than sitting down beside the fire?
And in his hand a jug of punch,
	And on his knee a tidy wench.

Let \(J\!\) be a hypothetical sign relation that is adequate to interpret the The Jug of Punch. Table 18 gives a bit of \(J\!\) that is called for in order to accomplish this interpretation. Table 19 shows an ACE of this bit. Table 20 gives a bit of this ACE that suffices to get the gist of it.

Table 18.  Bit of the Sign Relation J
	Object	Sign	Interpretant
	jug of punch	"jug of punch"	"jug of punch"
	The Jug of Punch	"The Jug of Punch"	"The Jug of Punch"

Table 19.  ACE of a Bit of J
	Object	Sign	Interpretant
	JOP	"JOP"	"JOP"
	JOP	"JOP"	"jug of punch"
	JOP	"jug of punch"	"JOP"
	JOP	"jug of punch"	"jug of punch"
	TJOP	"TJOP"	"TJOP"
	TJOP	"TJOP"	"The Jug of Punch"
	TJOP	"The Jug of Punch"	"TJOP"
	TJOP	"The Jug of Punch"	"The Jug of Punch"

Table 20.  Bit of an ACE of a Bit of J
	Object	Sign	Interpretant
	JOP	"jug of punch"	"JOP"
	TJOP	"The Jug of Punch"	"TJOP"

When I am dead and left in my mould,
	At my head and feet place a flowing bowl,
When I am dead and left in my mould,
	At my head and feet place a flowing bowl,
And every young man that passes by,
	He can have a drink and remember I.

Table 21

Table 21.  Budget of a Sign Relation:  The Bottom of the Bit
	Object	Sign	Interpretant
	JOP	"JOP"	"jug of punch"
	TJOP	"TJOP"	"The Jug of Punch"
	...	TJOP	"Bein' ... I."
		"Being on the	"Being on the
		 twenty third of June,	 twenty third of June,
		 as I sat weaving	 as I sat weaving
		 all at my loom,	 all at my loom,
		 I heard a thrush,	 I heard a thrush,
		 singing on yon bush,	 singing on yon bush,
		 and the song she sang	 and the song she sang
		 was The Jug of Punch."	 was just this song."
		"What more pleasure	"No more pleasure
		 can a boy desire,	 can a boy desire,
		 than sitting down	 than sitting down
		 beside the fire,	 beside the fire,
		 and in his hand	 and in his hand
		 a jug of punch,	 a jug of punch,
		 and on his knee	 and on his knee
		 a tidy wench?"	 a tidy wench."
		"When I am dead	"When I am dead
		 and left in my mould,	 and left in my mould,
		 at my head and feet	 at my head and feet
		 place a flowing bowl,	 place a flowing bowl,
		 and every young man	 and every young man
		 that passes by,	 that passes by,
		 he can have a drink	 he can have a drink
		 and remember I."	 and remember me."

Needless to say, acute enough hearers of this humble hymn or insightful enough interpreters of its lilting lyrics would no doubt find traces of Arthurian legend and clues to the Grail mythology woven all through its homespun text, but that is not my present task, to guess at its deepest drafts of meaning. Although there are features of this particular text that possess an incidental interest here, the reason for introducing it into the current context is more to illustrate the kinds of issues that are involved in a complex text, one with recursions and multiple levels of interpretation.

5.1.1.2. Analogical Recursion

With these preparations it is possible to return to the problems of analogical recursion, as illustrated by the poem The Lady of Shalott. In the body of the poem, the italicized phrase “The Lady of Shalott” is triply ambiguous, being amenable to any one of the following readings:

It can be the title of a person, italicized for emphasis.
It can be the name of a vehicle, for instance, a boat or a ship that is named after a person.
It can be the title of a text, for instance, a poem named after its principal subject or a story named after its chief character.

The first two readings are available on a literal interpretation and can be distinguished if the difference of emphasis is detected by the reader. The third reading is subtler, requiring both a figurative interpretation and a reason to suspect that some sort of subtext is possibly in force. How is the reader supposed to deal with this three headed equivocation? Is it a deliberate ambiguity on the author's part, one whose design is plotted with the aim of conveying a meaning? Does this question really matter, or does the syntactic structure of text still betray a form of intention, whether or not a conscious one?

If it is frequently necessary to distinguish the equally likely readings of equivocal signs, and if the design of the language in use is a topic open to discussion, then it is possible to bring in a requisite array of typographical conventions and a suitable set of type marking devices to indicate more explicitly the types of objects that are being denoted or the senses of signs that are being intended. But this kind of strategy only puts off the day when a capacity for intelligent interpretation is called on to resolve the ambiguities and the uncertainties that remain to all orders of finite signs. Keeping the inevitability of this outcome in mind, it is probably a good idea to spend a reasonable proportion of the meantime thinking of ways to build a capacity for flexible interpretation into a language from its very conception, or at least to leave room for its growth, and thus to facilitate an aptitude for interpretation under conditions of uncertainty throughout the entire course of development of a sign using capacity.

An intentional ambiguity in the reference of a sign is a primitive way of suggesting that there is an aspect of analogy or equality among the objects denoted, in other words, that there is a respect in which they are similar or a feature they have in common. In short, equivocation is akin to equation, becoming more pertinent the more persistent it is, and ambiguities that are systematic enough can amount to valid abstractions.

In the present case, one can observe the possibility that the author is suggesting the following analogies:

One analogy says that authoring a text is like piloting a vehicle. This can be written in either one of two ways.

Poet / Poem = Pilot / Boat.
Poet / Pilot = Poem / Boat.
Pilot / Poet = Boat / Poem.

…

The arrangements of SECs, SEPs, SEQs, and SERs have to do with the analogies that can be discovered and the equalities that can be created among signs, but a hint of the relevant similarities can be found in the categorical analogies (CANs) or the categorical equations (CEQs) that it is frequently possible to recognize among general terms, namely, the class names that apply to the corresponding categories of objects.

Tables 22 and 23 show two ways of expressing these general kinds of relationship, as they apply to the present example.

Table 22.  A Categorical Analogy
Pilot  /   Poet
=
Boat   /   Poem

Table 23.  A Categorical Equation
Pilot  =   Poet
<=>
Boat   =   Poem

Thus, a rough outline of the ARK that transports The Lady of Shalott from a PORT or a QORT to an ORT is provided by the following example of a "categorical equation" (CEQ).

Pilot = Poet <=> Boat = Poem.

This means that the reader can get a clue as to how the author relates to his text by reading, in a metaphorical way, the statements as to how the pilot or the passenger (the Lady of Shalott) relates to her vehicle (The Lady of Shalott). What one sees illustrated here is a particular form of literary device, one that I refer to as analogical recursion. Given the intricacy of this form, it is probably useful to analyze its workings into several steps.

For the sake of shortening future references to the epitext at the top of the last subsection, the sequence of epigraphs that lace its prose discussion, let the acronym “TLOS” stand for “The Lady of Shalott”, the unofficial title of a legendary person, and let the italicized acronym “TLOS” be taken in token for “The Lady of Shalott”, the title of a poem.

Table 24.  Semiotic Partition Implied by the ACE of L
	Object	SEC
	The Lady of Shalott	{"The Lady of Shalott",	"TLOS"}
	The Lady of Shalott	{"The Lady of Shalott",	"TLOS"}

Table 25.  Bit of an ACE of a Bit of L
	Object	Sign	Interpretant
	TLOS	"The Lady of Shalott"	"TLOS"
	TLOS	"The Lady of Shalott"	"TLOS"

5.1.2. Conscious Reflection

In this Section I examine how the intellectual process of reflection is expressed in reflective writing. Not so much as materials for analysis, since the power of analysis present in this work remains in a primitive state, but more to provide a constant reminder of what a reflective text is like, I am taking my epitext from the lifelong work of a single author, who made the aim of reflection an integral part of a whole life's work.

The thesis that is developing here is this: Language users have an innate knowledge of the situation of communication (SOC), a knowledge that is built into the language itself and gives its users an inkling of the social setting of communication that the language is meant to serve. Such a knowledge is tantamount to a science of communication that its users develop from its initial state by dint or by virtue of using it. Language users possess an intuitive, if imperfect, appreciation of the forms that are inherent in the social task of communication (TOC), and they exercise an implicit, if incipient, understanding of the practical roles that are constrained by the social hold of communication (HOC). Although every language user actualizes these roles with more or less competence and participates in the requisite forms of relationship with more or less cognizance, it is poets, playwrights, programmers, policy analysts, and other sorts of reflective writers that are especially charged to articulate these forms in a relatively explicit fashion.

The fact that reflective writers are driven to comment on the SOC itself, even if it is not always desirable or feasible to do so straightforwardly, and the fact that perceptive writers are able to find symbols of the SOC in the most inobvious places, reflected in the most refractory settings, and even when its likenesses are cast into the most unlikely images — these are two of the factors that combine to give creative writing its notably recursive and often cryptic character.

A reflective writer converts a situation of communication (SOC), a type of object, into a communication of situation (COS), a type of sign, and links the succession of reflective signs into the ongoing reflective text. But what are the forces that force a text, developing freely in a medium of communication, furnishing the vehicle of an observation, and bearing the impression of an object that occasions it, to double back on its writer and itself, to turn back through the medium of communication, all to form a sign for itself and to make a name for its author?

The relevance of reflective writing to the inquiry into inquiry can be seen in the following way. Let one examine a reflective text, a sample from the work of a suitably reflective writer, and one often discovers, besides the interpretation that bears on the obvious subject and serves to carry the ostensible theme, that there is coded or woven through the covering text a comment on the SOC itself, that is, a reflection on the writer, the reader, and the text itself. This reflexive interpretation reveals the writer's impressions about the process of writing, the very process that led to the text as its end result.

By tracing the analogies that exist between reflective writing and the inquiry into inquiry it is possible to gain a measure of insight into the character of the latter task. It is not a strange circumstance for the life and work of a writer to be represented again in that work, indeed, to be critically reflected there. And there is no question that a text can be used by a writer to talk about itself and its author, in a way that conceivably makes sense of them both — the question is whether what a reflexive text says can be interpreted in the same way as a text about external objects, or has to be taken with a distinct grain of salt.

Reflective writing arises from reflection on life and conduct and issues in a description of what goes on in the scene surrounding the reflective writer's point of view (POV). Of course, among the forms of conduct that are subject to inspection, a piece of reflective writing can also reflect on the process of writing itself, detailing the conditions that affect its intentions and its outcome, and thus taking on a “reflexive” character, though it is customary to express these narrower reflections in any number of less direct manners. With regard to the scene about a POV, a piece of reflective writing can take any stance from admiring, to amused, to bemused, to critical, to simply trying to puzzle out a fraction of what is going on. With respect to the process of writing and the development of a writer, a piece of reflective writing and what it articulates can be a crucial part of changing or preserving a POV. From this description, it ought to be clear that reflective writing is a naturally occurring species of inquiry into inquiry. That is to say, in analyzing the varieties of syntactic, semantic, and pragmatic phenomena that occur in reflective writing, one is performing a task that parallels the inquiry into inquiry.

Notions of recursion, informally taken, arise in this discussion for several reasons. First, there is the appearance of self application that is involved in an inquiry into inquiry, in the idea that an instrumental activity called “inquiry” can have application to an objective argument called “inquiry” and yield a meaningful result. Second, there is the appearance of self reference that is involved in an inquiry into inquiry, in the fact that a textual record of a self described inquiry needs to refer to itself as falling under the general topic of inquiry.

Strictly speaking, the themes of self application and self reference are less properly described as recursive than reflective or reflexive, but it is easy to see how these issues arise in the process of carrying out a genuinely recursive project in an effectively pragmatic context.

In order to do this, I need to give a rough description of these two ideas, that of a recursive project and that of a pragmatic context.

In a recursive project, one attempts to clarify a complex concept in terms of simpler concepts. For instance, an important special case occurs when one tries to analyze a complex process in terms of simpler processes. A recursive project recurs upon a type of situation where the same concept is applied to simpler objects, in particular, where the same process, procedure, or function is applied to simpler arguments, proceeding to increasingly simpler arguments until the simplest arguments are reached. A recursive project is sound if there is a bound that can be wound around it, and it redounds to good effect if there is a ground that can be found to found it.
In a pragmatic context, the canonical way to clarify any concept is to give it an effective representation or an operational definition, that is, to detail the effects that the object of the concept is conceived to have when it is applied to the objects available in a specifiable variety of practical situations. An interpretive agent that follows this pragmatic prescription for clarifying concepts, persisting at it long enough and pursuing it through an adequate array of applications, can convert each concept analyzed into its corresponding "active formula". This is a form of expression that is logically equivalent, or as nearly as possible, to the intended concept, but suitable for immediate application to the contemplated domain of objects.

Now, consider the concept of inquiry as a candidate for clarification. In the case of a concept like inquiry, the object of the concept in question is an activity that applies to the broadest conceivable variety of objects, one of these arguments being the topic of inquiry itself. As a result, if one approaches a definition of inquiry by way of the pragmatic prescription for clarifying concepts, one quickly discovers that an important ingredient in the active formula for inquiry is a component that characterizes the concept inquiry in terms of its action on itself.

What does the object denoted by “inquiry” have to do with respect to the object denoted by “inquiry”, in the first place, to qualify as a genuine inquiry, in the end, to succeed as an inquiry into inquiry? Evidently, something about the sign, the object, or what transpires between the sign and the object is conducive to attaining a better description of inquiry than that given by the mere name “inquiry”. The word “inquiry” and the symbol \(y\!\) are like a host of difficult signs, starting with “I” and “you”, where knowing the sign does not mean knowing the object perfectly, although it can lead to a knowledge of it. Simply knowing the word “I” and being able to use it adequately does not mean that I know myself perfectly, or that I can articulate my own nature. At best, these signs can serve to indicate the direction of the object pointed out or help to remind an agent of the action that is called for to be carried out.

Can the senses of a sign be so confused, or the sense of an interpreter be so confounded by it, that between the two it is difficult to know if the sign refers to something inside the self that is in the world or to something in the world that is outside the self?

Given the description of a question as an unclear sign, it might be thought that the sole purpose of an inquiry is to clarify a question until it acquires the status of an answer, and thus to operate wholly within the syntactic realm of signs and ideas. But this would ignore many cases of experimental inquiry and active problem solving, natural to include among inquiries in general, that involve the manipulation of external objects and the alteration of objective states as they occur in the objective world. With these things in mind, it is best to define an inquiry as a sign relation transformation (SRT), in other words, and a bit more pronounceably, as a transformation of sign relations (TOSR). This is conceived to be an operation that acts on whole sign relations, changing one into another, typically by acting in specified ways on the elementary sign relations(ESRs), or on the ordered triples \((o, s, i).\!\) An inquiry, regarded as a TOSR, can be treated as a generalized form of sign process. Whereas a sign process is restricted to acting within a single sign relation and can only change signs into their interpretants, a TOSR can subject elements of an object domain to experimental actions and induce objective states to undergo a variety of intentional changes.

From an abstract relational point of view, it is not too far from grasping the concept of a sign relation to seeing that transformations, operations, and other sorts of relations that are possible to define on sign relations are bound to become of significant interest. But the present concern is to decide whether the identification of inquiries with TOSRs constitutes a good definition in practice. A good definition in practice, aside from capturing the necessary and sufficient properties of its subject, is one that facilitates the generation of fruitful, incisive, material, pertinent, and relevant ideas about it. To some extent this depends on the context of practices and the specific purposes that a particular interpreter has in mind. Still, some definitions are more generally useful than others. Accordingly, the task I need to take up next is to examine the abstract concept of a TOSR with regard to its utility in practice, in other words, to determine its practical bearing on a concrete conception of inquiry, as it is topically understood.

If the essence of inquiry, or any aspect of what an inquiry can be, is captured by the concept of a TOSR, then a lot can be learned about the nature of inquiry by studying the manifest varieties and the internal structures of TOSRs.

Expressing this in terms of a prospective calculus, the present inquiry, \(y_0,\!\) constituted as an inquiry into inquiry, \(y \cdot y,\!\) ...

As the clarification of a concept is pursued to the limit, it approaches the status of a definition. And so one finds oneself contemplating a definition of inquiry that defines it at least partially in terms of itself. But an attempt to define a concept in terms of itself is ordinarily considered to be a bad thing, leading to the sort of circular definition that vitiates the utility of the whole effort toward clarity.

In summary, because the subject of inquiry is something that one can reasonably be in question about, and because the topic of inquiry is something that one can sensibly inquire into, the chances that one can make sense of an inquiry into inquiry is not merely an interesting and diverting possibility but a necessary part of the meaning of inquiry.

Definitions are limiting cases of clarifications, since a process of clarification pursued far enough approaches a formulation of a concept that is tantamount to its definition.

Before an inquiry can proceed very far, it needs to develop a map or a plan of the territory that the agent of inquiry intends to investigate. This task involves the drawing of distinctions, the finding of natural differences and the making of useful separations, among the objects of inquiry.

Let me call attention to a compound form of existence, the kind that is composed of a sign and the interpreter that authors it, and describe it more briefly as a sign and issuer (SAI) or a text and writer (TAW). As long as one moves through a casual context it is convenient to carry along these portmanteau words, precisely because their two components are confounded so consistently in informal speech, where it is hardly polite to keep on objecting to their ambiguities and anthropomorphisms. When I say that a SAI does this or that, it is up to the good sense of a charitable interpreter to decide whether this or that is something that a sign or rather its issuer is supposed to be able to do. In these terms, a SAI that speaks of and to itself and addresses its own composition or a TAW that talks about itself in either sense are not likely to have the same interest for others as they do in themselves.

It is ordinarily thought to be a good thing for a SAI or a TAW to be able to reflect on itself, but one whose subject is solely oneself is not ordinarily thought to be of interest to others.

In this work, I am interested in SAIs and TAWs that survive the onset of recursion while avoiding the snares of sheer self reference, that pose patterns of self reference but only in the service of a greater subject, and that slip the snarly bonds of narcissism frequently enough to say something significant about something else.

It is a form of narcissism to think that others are necessarily as interested in every detail of one's existence as one is oneself. But narcissism is an unnatural condition that has to be distinguished from one's more commonly understandable interest in oneself. In its extreme forms, a full blown narcissism is not the natural flourishing of a healthy self interest but the outgrowth of deep and typically early disturbances in the systematic structure of the self.

In order to understand how a sign functions as a sign it is necessary to understand the interpreter for whom it actually functions as a sign. The ways that a sign denotes its objects and connotes its interpretants say a lot about the interpreter for whom it denotes its objects and for whom it connotes its interpretants, where the antecedents of all these occurrences of “its” can be either the sign or its interpreter. To the extent that all knowledge is expressed in signs, to know anything at all is to know an aspect of oneself, however unwittingly. In this way, one can arrive at the epigrammatic formulas that “all knowledge is self knowledge” and that “every inquiry is an inquiry into inquiry”.

A symbol is a type of sign whose relation to its object is constituted solely by the fact that an interpreter employs it to denote that object, in other words, that an interpretant connects it with that object in an elementary sign relation, or an ordered triple of the form \(o, s, i.\!\) This means that the nature and the character of an interpreter can be studied especially well as reflected in the symbols that it employs.

Unlike icons and indices, which have rationales for their denotations in the properties and instances, respectively, which are common to objects and their signs, ...

term/premiss/argument: symbols with internal or instructive hints?

An argument is a type of symbol that incorporates among its syntactic provisions an independent indication of the method that is intended for its interpretation, that is, it embodies a series of hints about the ways and the means that its issuer intends its prospective interpreter to use in order to achieve its interpretant, in short, to reach its conclusion.

5.1.2.1. The Signal Moment

One night as I did wander,
	When corn begins to shoot,
I sat me down to ponder
	Upon on auld tree root.
Auld Ayr ran by before me,
	And bicker'd to the seas;
A cushat crooded o'er me,
	That echoed through the trees.
— Robert Burns, One Night As I Did Wander, [CPW, 48]

There is a thought that forms the theme of the present inquiry, indeed, as a chorus to a lyric are its evocations to the text that records this inquiry, and I find myself returning to its expressions on a constantly recurring basis, however much I strive to introduce variations for the sake of developing its implications and reflecting on its meanings from a fresh angle. So let me give the current rendition:

The present inquiry, \(y_0,\!\) portraying itself as an inquiry into inquiry, \(y \cdot y,\!\) proceeds on the premiss that a generic inquiry, \(y,\!\) can generally inquire into a generic inquiry, \(y,\!\) thereby achieving a settled result, one that awaits a mere determination to be signified by the name \({}^{\backprime\backprime} y \cdot y {}^{\prime\prime}.\!\) Thus the present inquiry, acting on the pretext of a formal posability, that is, a poetic license, a verbal permission, or a written suggestion, being motivated and justified by no more authority than these connote, is led to define itself in terms that appose its own term to its own term, and so it is led to take on a recursive, a reflective, or a reflexive cast.

The terms of this description need to be inquired into, and their implications pursued in greater detail.

The present inquiry, \(y_0,\!\) portraying itself as an inquiry into inquiry, \(y \cdot y,\!\) proceeds on the premiss that a generic inquiry, \(y,\!\) can generally inquire into a generic inquiry, \(y,\!\) and thereby achieve a settled result, and that this result awaits nothing other than its determination by the present inquirer to confer an objective significance on the name \({}^{\backprime\backprime} y \cdot y {}^{\prime\prime}.\!\) All of this is summed up in the formula\[{}^{\backprime\backprime} y_0 = y \cdot y {}^{\prime\prime}.\!\]

Thus the present inquiry, acting on the pretext of a formal posability, namely, the circumstance that the rules of a prospective formal grammar allow one to write the expression \({}^{\backprime\backprime} y \cdot y {}^{\prime\prime}\!\) and to inquire after its meaning, is led to define itself in terms that apply to its own case as argument, since the present inquiry, \(y_0,\!\) must be an example of whatever genus, \(Y,\!\), that a generic inquiry, \(y,\!\) is selected to represent. As a consequence, the present inquiry is forced to pursue the development of its own case in terms that appose its own actions to its own motives, and so is led to take on a recursive, a reflective, or a reflexive cast.

5.1.2.2. The Symbolic Object

I dream'd I lay where flowers were springing
	Gaily in the sunny beam,
List'ning to the wild birds singing,
	By a falling crystal stream;
Straight the sky grew black and daring,
	Thro the woods the whirlwinds rave,
Trees with aged arms were warring
	O'er the swelling, drumlie wave.
— Robert Burns, I Dream'd I Lay, [CPW, 45]

To paraphrase, the present inquiry acts on the pretense that an inquiry can inquire into other inquiries, perhaps even those that are presently ongoing, and even inquire into itself, in sum, being entitled to inquire into the full genus of inquiry, \(Y,\!\) a class that includes \(y_0\!\) as a member. But these representations, under cross examination, lead to a number of unanswered questions, like: Just what is a “generic inquiry”, anyway? Even more critically, their close and repeated examination leads to a host of “unquestioned answers”, answers already accepted as adequate, but whose appearances as answers need to be questioned again.

The formal posability of a self application, for example, as expressed by the term \({}^{\backprime\backprime} y \cdot y {}^{\prime\prime},\!\) especially when the formal calculus that is called on to make sense of these applications is still merely prospective and still highly speculative, ought to arouse a lot of suspicion from the purely formal point of view. Indeed, I cannot justify this way of proceeding, beginning in the middle of things and without stopping to establish a well defined formal system ahead of time, except to say that something very like it is unavoidable in a large number of natural circumstances, and so one ought to find a way of getting used to it. A way of getting used to the natural situation of inquiry is one of the things that the present inquiry hopes to find.

If it appears that this allows the present inquiry an unlimited scope or an excessive freedom, it has to be remembered that a formal posability is barely enough of a formal subsistence to begin an inquiry, but rarely enough to finish it. It can be invaluable as the provisional grubstake for a prospecting expedition, supplying the initial overhead it takes to prime the pump of subsequent exploration, but it is not sufficient to continue very far with an investigation. In essence, it is nothing more substantial than a grammatical allowance or a syntactic hypothesis, in effect, a poetic license, a verbal permission, or a written suggestion. Taking all of these cautions into account, it leaves the present inquiry motivated and justified by no more authority than their titles connote, and it obliges the precocity of what is written to be atoned for with all the critical benevolence of afterthought that can be mustered after the fact, to wit, through the diligent application of that turn of mind that allows one to write first and only later to think on the meaning.

Such was my life's deceitful morning,
	Such the pleasures I enjoy'd!
But lang or noon, loud tempests storming,
	A' my flowery bliss destroy'd.
Tho fickle Fortune has deceiv'd me
	(She promis'd fair, and perform'd but ill),
Of monie a joy and hope bereav'd me,
	I bear a heart shall support me still.
— Robert Burns, I Dream'd I Lay, [CPW, 45]

The present inquiry acts on the purely formal suggestion that a generic inquiry can inquire into other inquiries, perhaps even those that remain ongoing, moreover, that a particular inquiry can even inquire into itself. Interpolating the appropriate symbols, the present inquiry, referring to itself as \({}^{\backprime\backprime} y_0 {}^{\prime\prime},\!\) acts on the instance of a purely formal possibility, one that it expresses as a premiss in the formula \({}^{\backprime\backprime} y_0 = y \cdot y {}^{\prime\prime},\!\) intending this to be interpreted to the effect that an inquiry can inquire into a class of inquiries that includes itself as a member, and this is a hypothesis that is based on little more authority than the fact of its expression a prospective formal language, in other words, one whose interpretation is still a largely prospective matter.

Stepping back and reflecting on the situation, one needs to ask how in general and how in particular does one fall so blithely into these forms and into these manners of representation. Once that process is better understood then it becomes possible to evaluate in a fairer way whether this direction of fall is tantamount to a happy accident of the natural intuition or whether it constellates a disastrous catastrophe that needs to be remedied through the application of a severer style of reasoning. Generally speaking, the point at which intellectual developments like these begin to take on an automatic character is when the intention is formed of devising a formal calculus, in the present case, a prospective calculus of applications or appositions of the form \(f \cdot g,\!\) the terms of which are intended to be capable of referring to processes potentially as complex as inquiries. The project of an appositional calculus (AC) is what formalizes the intuitive possibility of an inquiry into inquiry and continues to suggest the formal possibility that any inquiry can be applied to itself, at least, any inquiry that can be symbolized in this calculus.

But not every form of words that can be formed within the permissions of a formal language does in fact point to a form of objective reality. Whether an inquiry into inquiry is a real possibility, how its possibility is to be actualized if it is indeed real in fact, and why it is necessary for an individual species of agents to bother with the actualization of this possibility — these are just some of the questions that demand to be addressed at this point, no matter how gingerly and how tentatively it is presently conceivable to respond to them, and they are just a few of the issues the distribution of whose partial solutions are found to occupy the greater body of this work.

5.1.2.3. The Endeavor to Communicate

When o'er the hill the eastern star
	Tells bughtin time is near, my jo,
And owsen frae the furrow'd field
	Return sae dowf and weary, O,
Down by the burn, where scented birks
	Wi dew are hangin clear, my jo,
I'll meet thee on the lea-rig,
	My ain kind dearie, O!
— Robert Burns, The Lea-Rig, [CPW, 474]

An agent involved in an effort to communicate, no matter how various the signs and the media that make its conveyance conceivable, and no matter how articulately the character of its endeavor is styled, whether it is pointed and straightforward, or allusive and recursive, whether it is elliptic, hyperbolic, parabolic, or otherwise conically sectioned, or whether it is much less smoothly sliced into its initial approximations and final truncations, there are only so many ways that a finitely informed creature can find to figure out what meaning the world has and to formulate what sense a life's work can add to it.

The present situation, as far as it goes, is a suitable subject for being investigated along the lines of the pragmatic theory of sign relations.

Since \({}^{\backprime\backprime} x {}^{\prime\prime}\!\) is a sign, it has the potential to denote an object \(x,\!\) if and when there is determined to be a signified object, and one with a power to impress itself on the mind of the operative interpreter of that sign. Likewise, since \({}^{\backprime\backprime} y_0 = y \cdot y {}^{\prime\prime}\!\) is a sign, it has the potential to denote an object, one that syntactic compunctions stop me from saying is \(y_0 = y \cdot y,\!\) that is, if I want to avoid a definite risk of failing to be understood. But what is this object, if it exists? At any rate, what sort of object is the receiver of the sign thereby entitled to expect it to be, whether or not the object that it foreshadows ever does come to be actualized?

In order to have a variety of more convenient names for referring to the object potentially denoted by the sign \({}^{\backprime\backprime} y_0 = y \cdot y {}^{\prime\prime},\!\) I refer to the expression \({}^{\backprime\backprime} y_0 = y \cdot y {}^{\prime\prime}\!\) as “The Initial Equation”, or as “TIE”, for short. Although it is not strictly necessary for such a small piece of text as \({}^{\backprime\backprime} y_0 = y \cdot y {}^{\prime\prime},\!\) I here obey the rule that the titles of texts are italicized. Furthermore, the object, situation, or state that satisfies TIE, to the effect that \(y_0 = y \cdot y,\!\) and is therefore potentially denoted by TIE, can also be referred to as “the intended state”, or as “TIS”, for short.

At midnight hour in mirkest glen,
	I'd rove, and ne'er be eerie, O,
If thro that glen I gaed to thee,
	My ain kind dearie, O!
Altho, the night were ne'er sae wild,
	And I were ne'er sae weary, O,
I'll meet thee on the lea-rig,
	My ain kind dearie, O!
— Robert Burns, The Lea-Rig, [CPW, 474]

For the sake of shortening future references to the chief object of the present inquiry and the initial sign of its potential existence, let the acronym “TIS” be equiferent to the phrase “the intended state”, and let the italic tag “TIE” be equiferent to the title “The Initial Equation”. Further, let the connotations be so arranged that “TIS” is semiotically equivalent to “the intended state” and “TIE” is semiotically equivalent to “The Initial Equation”. It is important to note that a set of signs can be equiferent among themselves in the wholly vacuous sense that all of them have no objective reference, and, strictly speaking of what they denote, that all of them refer to nothing at all, whereas a set of signs that are equivalent in the properly semiotic sense still have each other as their connotations.

There is a feature of this style of abbreviation to which it is useful to call attention. Rather than letting the acronym “TIS” strictly denote the phrase “the intended state” and instead of letting the tag “TIE” strictly denote the title “The Initial Equation”, I am merely asking the reader to arrange in behalf of the interpretation a semiotic partition (SEP), along with its corresponding semiotic equivalence relation (SER), in which a particular pair of semiotic equivalence classes (SECs) serve to stake out a couple of parts, that is, to represent mutually exclusive classes of signs that denote their respective objects in parallel. This situation is depicted in Table 26.

Table 26.  Semiotic Partition Implied by the ACE of Q
	Object	SEC
	the intended state	{"the intended state",	"TIS"}
	The Initial Equation	{"The Initial Equation",	"TIE"}

In each case, the abbreviated form and its expansion are set to connote each other all within a single level of signs, while both signs are set to denote their common object in a parallel fashion. This strategy for annexing compressed references to a sign relation can be referred to as an acronymically connotative extension (ACE) of that sign relation.

The hunter lo'es the morning sun,
	To rouse the mountain deer, my jo,
At noon the fisher takes the glen
	Adown the burn to steer, my jo:
Gie me the hour o gloamin grey
	It maks my heart sae cheery, O,
To meet thee on the lea-rig,
	My ain kind dearie, O!
— Robert Burns, The Lea-Rig, [CPW, 474]

5.1.2.4. The Medium of Communication

The gloomy night is gath'ring fast,

Loud roars the wild inconstant blast;

Yon murky cloud is filled with rain,

I see it driving o'er the plain;

The hunter now has left the moor,

The scatt'red coveys meet secure;

While here I wander, prest with care,

Along the lonely banks of Ayr.

— Robert Burns, The Gloomy Night is Gath'ring Fast, [CPW, 250]

Before I can advance this discussion to a higher level of reflection on my own and other texts, in other words, to augment its participation in syntactic and textual processes beyond the level of rote recitation and routine replication of whatever text comes to mind, I need to introduce a minimal set of syntactic devices and textual mechanisms for adverting to and reflecting on syntactic entities and textual objects, in other words, for generating and interpreting, or else recognizing and elaborating, a level of references to objects that are themselves composed of signs and that therefore have the characters of complex signs in their own rights.

In general, signs that denote signs are called higher order (HO) signs, leaving the signs denoted to be referred to as lower order (LO) signs. These form the subject of detailed discussions later on in this work, but the critical need for now is merely to make available an informal set of plausible devices for availing the discussion of names for pieces of text. Thus, the tools that are required can be sufficiently well illustrated in their immediate applications to the present materials.

The Autumn mourns her rip'ning corn

By early Winter's ravage torn;

Across her placid, azure sky,

She sees the scowling tempest fly;

Chill runs my blood to hear it rave;

I think upon the stormy wave,

Where many a danger I must dare,

Far from the bonie banks of Ayr.

— Robert Burns, The Gloomy Night is Gath'ring Fast, [CPW, 250]

Depending on whether it is possible to adapt, appropriate, and otherwise make use of what HO signs are already extant in a field of discussion or whether it is necessary to create, invent, or otherwise make up further HO signs to denote the signs and the texts that one notices in an area, one finds that the sorts of syntactic devices, textual mechanisms, and reflective operators that one needs are divided into two broad camps:

There are the anaclitic, ancillary, or auxiliary devices that an agent uses to imp out each HO connotative plane by extrapolating its indirections in novel directions, to allude in a connotative fashion to the current signs of signs and the established titles of texts, to sharpen up the reflective references already extant, and to take full advantage of the ancient orders of associations and the antecedent layers of citations that are already in place.
There are the creative, generative, or productive devices that an agent uses to eke out each HO denotative plane in the first place, to adduce the initial signs in that order, to create new HO signs, to refer in a denotative fashion to what thereby becomes an order of comparatively LO signs, and to issue HO citations of LO texts.

The connotative mechanism, relying on prior quotations and established titles, ...

Acronyms.

'Tis not the surging billows' roar,

'Tis not that fatal, deadly shore;

Tho death in ev'ry shape appear,

The wretched have no more to fear;

But round my heart the ties are bound,

That heart transpierc'd with many a wound;

These bleed afresh, those ties I tear,

To leave the bonie banks of Ayr.

— Robert Burns, The Gloomy Night is Gath'ring Fast, [CPW, 250]

The denotative mechanism, ...

These are devices whose function it is to operate on signs, including all sorts of characters, expressions, phrases, and texts, and whose result it is to generate signs that refer to their respective arguments as objects.

Quotation marks. Ordinary quotation marks (“ ”) can be used in the customary ways to create names for signs, concatenated signs, or pieces of text that they enclose. Unfortunately, for formal purposes, ordinary quotation marks have the disadvantage of being used for several other functions besides that of creating names for enclosed signs and texts. In particular, the same marks are frequently used for a motley crew of emphatic functions or monitory purposes, that is, simply to call an extra measure of attention to the sign or the text enclosed, but without necessarily intending to interrupt its significance or to interfere with the corresponding process of denotation.

Arch quotations. An alternative form of quotation is provided through the employment of raised angle brackets (^< ^>), also called arches or supercilia. These marks are reserved to the sole purpose of creating signs for signs and generating names for pieces of text, in keeping with the nominal intention and the normal use of quotation marks.

Titles and headings. An arbitrary title for a syntactic object or a textual segment is created simply by designating anything whatsoever to a service in that role. Whatever it is before being dubbed as the title of the material in question, it becomes a pointer to its appointed object simply by virtue of being so dubbed, if nothing else, at least as regarded by a single interpreter that is duly appointed to appoint things so, if only for the sake of a purely personal recognizance.

Farewell, old Coila's hills and dales,

Her heathy moors and winding vales;

The scenes where wretched Fancy roves,

Pursuing past unhappy loves!

Farewell my friends! farewell my foes!

My peace with these, my love with those —

The bursting tears my heart declare,

Farewell, my bonie banks of Ayr!

— Robert Burns, The Gloomy Night is Gath'ring Fast,, [CPW, 251]

The highest order of generality among titles is not absolutely necessary in the present context. More commonly, a title is a pre-arranged sign, a pre-established mark, a prefixed epithet, or a pre-ordained piece of text that gets re used, perhaps subject to a conventional modification or a special inflection, to serve as a sign or a name for what is customarily a disjoint sign or a distinct piece of text. Under typical circumstances, although not universal, the syntactic entity or the textual object to which a title refers is a much longer text, and thus one that occasions the practical need among its interpreters of having a briefer alias or a compressed designation for it. In short, a title is intended to serve a purpose that is similar to one of the roles of ordinary quotation, but subject to orders of pragmatic constraints that quotation marks, when literally taken and expressly used, are clearly not able to satisfy. Putting aside for the time being the issues that are raised by this general discussion, I revert to the ordinary use of quoted expressions and italicized phrases as the titles of texts.

5.1.2.5. The Ark of Types : The Order of Things to Come

Now westlin winds and slaught'ring guns
	Bring Autumn's pleasant weather;
The moorcock springs on whirring wings
	Amang the blooming heather:
Now waving grain, wide o'er the plain,
	Delights the weary farmer;
And the moon shines bright, as I rove by night,
	To muse upon my charmer.
— Robert Burns, Now Westlin Winds, [CPW, 44]

The present situation, as far as it goes, is a suitable subject for being investigated along the lines of the pragmatic theory of sign relations.  The state of the resulting examination, as it stands at the current stage of analysis, is summarized in Table 27, indicating little more than this hypothetical circumstance:  That a couple of terms of a formal language, a prospective calculus of "applications" or "appositions" of the form f.g, are intended to be identified in all of their current objective references.  Thus, the terms "y0" and "y.y", formed in accord with the still inchoate and yet developing grammar of the intended "appositional calculus" (AC), are set to denote the very same object or objects, all the while that the precise nature of what these signs actually denote is still up for grabs, and in spite of the circumstance that the bare consistency of its logical possibility remains unknown, for all the plausibility of the posability.

Recalling that a "bit" of a sign relation is any subset of its extension, that is, an arbitrary selection of its ordered triples, Table 27 presents a bit of a sign relation that is needed to interpret "The Initial Equation", also known as "TIE".

Table 27.  Bit of a Sign Relation for TIE
	Object	Sign	Interpretant
	Y	"Y"	"Y"
	y	"y"	"y"
	y0	"y0"	"y0"
	y0	"y0"	"y.y"
	y0	"y.y"	"y0"
	y0	"y.y"	"y.y"

The paitrick lo'es the fruitfu fells,
	The plover lo'es the mountains;
The woodcock haunts the lonely dells,
	The soaring hern the fountains:
Thro lofty groves the cushat roves,
	The path o man to shun it;
The hazel bush o'erhangs the thrush,
	The spreading thorn the linnet.
— Robert Burns, Now Westlin Winds, [CPW, 44]

In order to refer to an object x, it is necessary to use a sign "x", or something equally good, an equiferent sign, to do so. In a similar vein, in order to refer to a sign "x", it is necessary to use a HO sign <"x">, or something equally good, an equiferent HO sign, to do so.

In referring to the signs "x" and "y0 = y.y", I am of course using a definite style of HO signs to do so, while the corresponding LO signs, the ones that are being denoted by these mechanisms, are homologous to the portions of text that appear within the bounds of these quotations. The chief exception to this rule, attaching a note of practical caution to its exercise that precludes its overly automatic use, is due to the problem already noted, that not every LO sign extracted from quotation is safe to use, semantically speaking, in every discursive context, grammatical environment, syntactic frame, or textual niche.

As long as I am referring to the signs "x" and "y0 = y.y", I can keep on using the HO signs that refer to them, all without having to employ the next layer of encapsulation in arch quotes. I am obligated to use the new order of arches only when I want to awake to, become aware of, and directly mention the order of signs that I find myself employing, in the present case, when I get a notion to critically reflect on and thus to make explicit reference to the HO signs <"x"> and <"y0 = y.y">. It is almost as if, in using an order of signs, that one takes off the wraps that one uses in order to mention them. This is generally true, but subject to exceptions at the boundary conditions, where there are no more lamina to strip away.

Table 28

The bit of a sign relation that is shown in Table 28 is an example of this type of arbit.

Table 28. Arbit of a Sign Relation for TIE
Object Sign Interpretant
y0 "y0" = "y.y"

Thus ev'ry kind their pleasure find,
	The savage and the tender;
Some social join, and leagues combine,
	Some solitary wander:
Avaunt, away, the cruel sway!
	Tyrannic man's dominion!
The sportsman's joy, the murd'ring cry,
	The flutt'ring, gory pinion!
— Robert Burns, Now Westlin Winds, [CPW, 44]

Table 29 shows a variety of notations that are available for the first two orders of signs above "x".

Table 29.  Simple Signs & Their Higher Order Signs
	Object	Sign	Interpretant

	x	"x"	=	<x>


	"x"	<"x">	=	<<x>>

	"x"	<"x">	=	"<x>"

But, Peggy dear, the ev'ning's clear,
	Thick flies the skimming swallow;
The sky is blue, the fields in view,
	All fading green and yellow:
Come let us stray our gladsome way,
	And view the charms of Nature;
The rustling corn, the fruited thorn,
	And ilka happy creature.
— Robert Burns, Now Westlin Winds, [CPW, 44]

Table 30

Table 30.  Complex Signs & Their Higher Order Signs
	Object	Sign	Interpretant

	TIS	"y0 = y.y"	=	<y0 = y.y>

	TIS	"y0 = y.y"	=	<"y0" =E "y.y">


	"y0 = y.y"	<"y0 = y.y">	=	<<y0 = y.y>>

	"y0 = y.y"	"TIE"	=	<TIE>

We'll gently walk, and sweetly talk,
	While the silent moon shines clearly;
I'll clasp thy waist, and, fondly prest,
	Swear how I lo'e thee dearly:
Not vernal show'rs to budding flow'rs,
	Not Autumn to the farmer,
So dear can be as thou to me,
	My fair, my lovely charmer!
— Robert Burns, Now Westlin Winds, [CPW, 44]

Table 31

Table 31.  More Complex Signs & Their Higher Order Signs
	Object	Sign		Interpretant
	TIS	"TIS"	=	"The Intended State"
	TIS	TIE	=	The Initial Equation
	TIS	TIE	=	"y0 = y.y"
	"TIS"	<"TIS">	=	<<TIS>>
	TIE	"TIE"	=	"The Initial Equation"
	TIE	"TIE"	=	<"y0 = y.y">
	TIE	"TIE"	=	<TIE>
	"TIE"	<"TIE">	=	<<TIE>>

5.1.2.6. The Epitext

Green grow the rashes, O;
	Green grow the rashes, O;
The sweetest hours that e'er I spend,
	Are spent among the lasses, O.
— Robert Burns, Green Grow the Rashes, O, [CPW, 81]

It is time to make explicit mention of a certain wrinkle in this text, even at the risk of warping the record that records this reconnaissance and rendering all the rest of its traces an unceasing problem to itself.

Throughout the course of this ongoing discussion is threaded what I refer to as an “epitext”, a linked succession of epigraphs, that, aside from the incidental interest that their contents may hold, are designed to keep before the mind what a real text is like, with all the potential for meaning and all the problems of interpretation that genuine symbols, complex imagery, and transcendental allusions can present. I cannot be expected to comment on, much less to clarify, all of the relevant aspects and all of the problematic features that are likely to be obvious to even the most casual reader of this epitext, but I think it is important to keep in mind a sense of the distance that is yet to be covered before any theory can claim a true comprehension of real language use.

Why are poetic texts and lyrical materials relevant to the aims of the present project? It is because they “face the music” as soon as they can speak and continue to address it for the rest of their developments. In other words, they speak from the very beginning of their invocations to the most pressing issues of communication and they attempt to tackle in their informal ways the most difficult problems of interpretation, those that formal languages and formal logics often put off till the end of their days, if they ever face up to them at all. Of course, if a set of troubles can be avoided then perhaps it is best to do so. Therefore, if I want to convince anybody that it is worth their bother to engage a given array of issues and problems, then I ought to supply an argument to make it plausible why the types of phenomena in question are likely to be inevitable.

One of the reasons for drawing this epitext from poetic sources is that a genuine poem, aside from its commentary on the passing show, what it seems to say about this ostensibly concrete subject or that divertingly pastoral scene, usually has something extra to say, a surplus meaning or an ulterior motive that sets its aim above and beyond the call of beauty, and this is usually something that it ventures to say about the reasons for its own existence, about the endeavor to communicate that goes into its making, and thus about its total context of interpretation (COI). In sum, a poem is often meant, at least partly, to address the implicit questions: Why am I writing this? And why am I writing this way?

There's nought but care on ev'ry han',
	In every hour that passes, O:
What signifies the life o man,
	An 'twere na for the lasses, O.
— Robert Burns, Green Grow the Rashes, O, [CPW, 81]

Aside from its apparent subject, its basic theme, and its commentary on diverse idyllic scenes, a genuine poem often has something to say about the reasons for its existence, the very idea that an author can form an intention, and the form of reception that it is aimed or averse to find. Thus its bits of reflective imagery, properly reconstituted and happily interpreted, make it tantamount to an implicitly recursive text (IRT).

What is it that forces a text to bear an immense variety of meanings, a few of them obvious, the bulk of them less so, if not the desire of its author to capture an image of a huge reality in an utterly tiny space, and to convey a fragment of a thicker truth along invisibly thin lines? A task like this can only be achieved through the use of multifaceted symbols and mirrored expressions, the results of multiple and repeated reflections. And a text like this can only be understood by means of an imaginative interpretation. Altogether, this mode of communication is comprehended by establishing a relation between writer and reader, one that is imprisioned at either end by the capacity at that terminus for imagination and reflection.

What is it that makes a text able to hold a wealth of meanings within it, if not the complementary desires of a writer and a reader to capture a huge reality between them?

The living creature, in its drive to write itself irreplacwably into the text of the universe and in its essay to render itself indispensable to the task of reading this text with any measure of understanding, ...

The war'ly race may riches chase,
	An riches still may fly them, O;
An tho at last they catch them fast,
	Their hearts can ne'er enjoy them, O.
— Robert Burns, Green Grow the Rashes, O, [CPW, 81]

The more one steps back from the objects and the phenomena that first struck one's fancy to know, the ones one really desires to understand, in order to get what one imagines will be a better, more analytic, and more conceptual view of them, the more one sees the envisioned ends of understanding receding into the distance of one's altered perspective, leaving one with respect to them barely at the beginnings of analysis. Over time, the visionary ends of inquiry appear to disappear into the mists of one's lately imposed starts, to skip over the marks of one's recently interposed stations, perhaps to await one's tardy arrival at the alpha and omega of one's upstart inquiry.

These effects, that are due to a developing perspective, especially the appearance of an expanding universe that grows out of one's increasing ability to see detail, can turn from being awe inspiring at one moment, increasing one's desire to know an object, and encouraging the work of understanding, to being disheartening at the next moment, overwhelming one's mind and senses with the power of a phenomenon, and dashing all hopes of comprehending it. As a consequence, short of renouncing the quest altogether, one is likely to restrain oneself to any fragment of the original question that seems easy enough to address in due order, and then to settle for any semblance of an answer that happens to present itself in due time.

The intervention of an epitext is designed precisely for this reason, to compensate, counteract, and remediate the more deleterious effects of an otherwise heathily growing perspective. The epitext is meant to keep the end in view, to remind the participants in a communication of the type of text that is ultimately desirable to understand, but without demanding its complete unraveling within the immediate frame of time, nor taunting each other so severely with the distances that remain to their goals that all are daunted from continuing with the ongoing task.

But gie me a cannie hour at e'en,
	My arms about my dearie, O,
An war'ly cares an war'ly men,
	May a' gae tapsalteerie, O!
— Robert Burns, Green Grow the Rashes, O, [CPW, 81]

In this way, an epitext can serve a couple of functions within a text:

The epitext maintains an internal model of the informal context, the actual, intended, or likely "context of interpretation" (COI), or the typical "situation of communication" (SOC) that prevails in a given society of interpretive agents. It does this by preserving a constant but gentle reminder of the type of text that ultimately demands to be understood within this social context. In other words, it represents its social context in terms of its ideals, [??? the expectation that contains it dialogue between the epitext helps to provides an image of the dialogue that ???]
The epitext and the text are in a relation, analogous to a dialogue, that mirrors the relation of the text itself to its casual, informal, or social context. In general, the analogy can be set up in either one of two ways, and can shift its sense from moment to moment:

Epitext : Text :: Context : Text. Here, the epitext plays the part of common expectations, generic ideals, or social norms that are invoked in the process of communication.
Epitext : Text :: Text : Context. Here, the epitext gives vent to the individual conceits, idiosyncratic caprices, or whims of the moment that are stirred up by the process of communication.

What type of text is best to use in an epitext, if it is going to achieve these stated objectives? A "paragon of writing is an apt title to give to the type of text at issue, since it marks the type of text that is originally desired to be understood and the type of text that ultimately demands to be understood.

For you sae douce, ye sneer at this;
	Ye're nought but senseless asses, O:
The wisest man the warl' e'er saw,
	He dearly lov'd the lasses, O.
— Robert Burns, Green Grow the Rashes, O,, [CPW, 81]

The epitext acts as a kind of tether that helps to keep the end in view. It maintains an internal model of the informal context and preserves a reminder of the kinds of texts that ultimately demand to be understood. In this way, the epitext supplies a canon, a guideline, or a standard within the text, and secrets within the main text not only an image of the object to be analyzed but also an icon of the object to be achieved. Naturally reflective texts, the kinds that occur in poems, in plays, and in other sorts of creative writing, are the best sources of stock for an epitext. These kinds of text have a double relevance to the aims of AI. As materials for analysis, they exemplify the character of real language use in natural settings. As models for methods of analysis, they are capable of addressing complex issues in a casual fashion. Because they are freely chosen from natural sources of exemplary language use, they can serve as examples for analysis that are realistic enough to exemplify the types of phenomena that one desires to understand and difficult enough to test the methods of analysis that one proposes to use. Because it is their nature in part to reflect on their own nature as texts, they often contain insightful commentaries on this very nature.

Auld Nature swears, the lovely dears
	Her noblest work she classes, O:
Her prentice han' she try'd on man,
	An then she made the lasses, O.
— Robert Burns, Green Grow the Rashes, O, [CPW, 81]

Let me then try to summarize the bearings that these poems and songs, these innocently reflective and innocuously self reverent types of texts, can be contemplated as having on the present inquiry, and again on the encompassing viability of AIR. Their relevance is twofold, bearing on the matter in question from complementary directions:

First, there is their negative or limitative bearing. As materials for analysis, poetic and lyrical texts contribute some of the hardest, most resilient, and most resistant cases that are known to confront the work of natural language understanding, and so they serve to puncture many of the rashest pretenses that this task is anywhere near to being done. Of course, if poetic and lyrical modes of production and comprehension are justly relegated to the status of mere diversions, then the task of unraveling their mysteries can be deemed a much less critical problem. However, if the resources that are elaborated and exploited in these manners of impression and expression are somehow essential to the very ideas of significant communication and meaningful interpretation, then it becomes a more crucial requirement to understand how they operate.

Second, there is their positive or productive bearing. As hints of models and heralds of methods, these types of texts hold out some hope that a text can sensibly comment on the task of achieving its own style of communication, the writing of it, the sending of it, the reading of it. More than that, their stock in variety of canonical styles helps to offer a cornucopia of constructive suggestions for ways of actually doing so. The chance of a text being able to express a perceptive reflection comes near the heart of the present matter, and the likelihood of a text having the power to embody an insightful self commentary brings the immediate discussion within a heartbeat of the inquiry into inquiry, for if a writing can teach about writing then perhaps an inquiry can learn about inquiry.

5.1.2.7. The Context of Interpretation

To the weaver's gin ye go, fair maids,
	To the weaver's gin ye go,
I rede you right, gang ne'er at night,
	To the weaver's gin ye go.
— Robert Burns, To the Weaver's Gin You Go, [CPW, 306]

As this discussion proceeds, it is designed to expand the scope of what it can analyze successfully from simple signs to complex expressions to extended texts. In this progression, the pragmatic theory of signs is used as a unifying thread to connect the different levels of complexity. Accordingly, it needs to be kept in mind throughout the discussion that references to signs, unless specified otherwise, can generally be taken in a maximally inclusive sense, referring also to expressions and texts.

The more complex and more extended a sign, expression, or text becomes the more occasion it has for referring to many other objects on its way to achieving its ultimate denotation. Some of these implicit, incidental, and intermediate objects can be components, properties, and relations of the sign, expression, or text itself, perhaps amounting to its accidental connotations and its intended interpretants. When it comes to a highly involved sign, expression, or text, some of its subsidiary effects and ulterior objects can even be aspects or elements of those very agents and those very media that are actually, imagined, or intended to be involved in its production, transmission, or reception.

In many respects, these side effects are actually more important from a practical standpoint than the token objects of denotation, that is, the nominal results and the ostensible values that merely serve to mark the successful outcome of the interpretation process. Anything that an agent strives toward achieving or that a system moves toward attaining can be called its object, and so there arises the possibility that a global object or a derivative object, a thing constructed or reconstructed from various bits and pieces of extraneous references, is that which primarily or effectively calls or drives the greater action. If it strikes one as strange that an object construed from epiphenomenal marks and tangential signs should be the main motive and real object of the process of interpretation, it ought to be remembered that a special case of this already appears in the form of the semantic partitions that reconstruct the forms of their object domains. Accordingly, the types of global objects and derivative objects that emerge from the present considerations are just the ultimate generalizations of SECs.

My heart was ance as blythe and free
	As simmer days were lang;
But a bonie, westlin weaver lad
	Has gart me change my sang.
— Robert Burns, To the Weaver's Gin You Go, [CPW, 306]

Signs are typical of the contents of consciousness. Indeed, from the standpoint of the pragmatic theory of signs, where a maximally general definition of signs holds sway, signs are considered to be all inclusive, generically identical, or simply co extensive with the class of phenomena that are commonly known as the contents of consciousness. In this view of the matter, a complex expression is analogous to a complex concept, of an order that is typically but not exclusively constructed in deliberate and purposeful thinking processes, while an extended text is analogous to an ongoing stream of consciousness or a long drawn out process of reasoning, whatever its character may be.

This analogy or identity between signs and contents of consciousness can help to explain the pains I am taking in the present discussion to elucidate the structures of self referent signs, expressions, and texts. With this key to its interpretation, a sign that denotes itself attracts interest because it presents an icon of self awareness. In other words, a sign relation that is called on to make sense of a self denoting sign affords a particular type of formal model, one that captures a relevant aspect of the structure that is involved in a content of consciousness referring to itself. In a corresponding fashion, a text that refers to itself, in whole or in part, is analogous to a conscious process that makes reference to itself, its aspects, or its instants.

It needs to be noted what I am not saying here. I do not say that signs and texts are themselves aware, or that consciousness needs to emerge from them, however much they can serve to attract the attention of already conscious agents. Indeed, I am taking no position yet on the questions of whether or how consciousness can emerge from conceivably non conscious materials. At present, I am only interested in describing the formal relations or the structural relationships that can be noted to exist among contents of consciousness, as noted, and not to explain the bare facts of these contents, much less to explain the circumstance of consciousness itself. With regard to this purely descriptive purpose, the main task for the near future is to develop an array of conceptual frameworks that can be put to work in organizing formal descriptions and in converting suitable portions of them into effective descriptions. As long as one works under the aegis of these methodological limitations, the following maxim needs to be kept in mind: The only thing that a formal model can capture is the form of something. Whether form is of the essence in the case of the human psyche is in fact an ancient and a still important question, but not one that I hope to answer just yet. The patent answer that presents itself is to keep the question open, and to continue exploring all of the available options.

One benefit of this openness is that it permits the exploration of the thinking mind's connection with information.

My mither sent me to the town,
	To warp a plaiden wab;
But the weary, weary warpin o't
	Has gart me sigh and sab.
— Robert Burns, To the Weaver's Gin You Go, [CPW, 307]

The reason for my interest in signs, a reason that accounts for their part in inquiry and helps to explain their role in AIR, is that I take signs to be identical with all that is able to appear in awareness, or all that can be a content of consciousness. This amounts to saying that the ostensible analogy between signs and contents of consciousness, and thus between texts and streams of consciousness, is a potential identity. Speaking with respect to their potentiality, I would like to suggest that signs are identical with the possible contents of consciousness, and that the contents of consciousness all have the characters of potential signs. The broadest conceivable definition of what constitutes a "sign" leads to the broadest conceivable definition of what constitutes a "text", and so one is led to the idea that the whole stream of consciousness belonging to a person or a community, not just the miniscule fraction of it that happens to get written down in the conventional arrays of characters, can literally be regarded as a text.

What appears in awareness is a case of what one calls "phenomena", and a study that considers what can be a content of consciousness is called a "phenomenology". This means that

This is not the place to argue for the full strength of the proposed identity:

Phenomena	=	Appearances in Awareness
	=	Contents of Consciousness
	=	Signs.

Indeed, if one conceives consciousness to be a continuum, more exactly, if one considers every connected field (and stream) of consciousness to be a continuous manifold, as it very likely is, then this argument would depart from the realm of discrete signs and finite texts that is proper to computational models.

No matter how carefully the terms are qualified, allowing the equations to apply in purely formal and wholly potential senses, the argument for the soundness of this joint identification is by no means easy, presents the danger of leading this discussion far afield, if not astray, and is, in any case, not really needed to achieve the aims of the present work. Fortunately, while the full strength of the identity is not required for the present application, it can continue to serve as a useful analogy.

A bonie, westlin weaver lad
	Sat working at his loom;
He took my heart, as wi a net,
	In every knot and thrum.
— Robert Burns, To the Weaver's Gin You Go, [CPW, 307]

This is not the place to argue for my particular way of seeing things, whose rationale ultimately depends on the integral relationship between the pragmatic style of phenomenology and the pragmatic theory of signs. There is still too much potential for misunderstanding between the writer that is due merely to possible differences in the uses of words, and not to any matters of substance. Until these ideas can be fully developed, the relation between signs and contents of consciousness, or the relation between texts and streams of consciousness, can still be treated as a useful analogy.

The array of what appears in awareness and the condition of what can be a content of consciousness is the range and quality of "phenomena". To study what is able to appear in awareness and to contemplate what could be a content of consciousness is to consider "phenomena" in general. A study that treats of phenomena, whether in their widest generality or restricted in a particular way, is appropriate to call a "phenomenology". There are many different styles of phenomenology, in spite of the factious pretenses of universality that are likely to be part and parcel of any style that is particular enough to find favor with a party of individual agents.

From the pragmatic point of view, there is a close relation between phenomena and signs.

The style of phenomenology that is needed for this work is the subject of a later discussion. Here, I make only the remarks that are needed for orientation.

I sat beside my warpin wheel,
	And ay I ca'd it roun.
But every shot and every knock,
	My heart it gae a stoun.
— Robert Burns, To the Weaver's Gin You Go, [CPW, 307]

The pragmatic idea about phenomena is that all phenomena are signs of significant objects, except for the ones that are not. In effect, all phenomena are meant to appear before the court of significance and are deemed by their very nature to be judged as signs of potential objects. Depending on how one chooses to say it, the results of this evaluation can be rendered in one of the following ways:

Some phenomena are in fact signs of significant objects. That is, they turn out to exist in a certain relation, one that is formally identical to a sign relation, wherein they denote objects that are important to the agent in question, an agent that thereby becomes the interpreter of these signs.
Some phenomena fail to be signs of significant objects, however much they initially appear to be. In this event, the failure can be accounted for in either one of two ways:

Some phenomena can fail to be signs of any objects at all. This amounts to saying that what appears is not really a sign at all, not really a sign of any object at all.
All phenomena are signs in some sense, even if only granted a default, nominal, or token designation as signs, but some signs still fail to qualify as signs of significant objects, because the objects they signify are not important to the agents in question.

The moon was sinking in the west,
	Wi visage pale and wan,
As my bonie, westlin weaver lad
	Convoy'd me thro the glen.
— Robert Burns, To the Weaver's Gin You Go, [CPW, 307]

But what was said, or what was done,
	Shame fa' me gin I tell;
But Oh! I fear the kintra soon
	Will ken as weel's myself!
— Robert Burns, To the Weaver's Gin You Go, [CPW, 307]

5.1.2.8. The Formative Tension

A lassie all alone, was making her moan
	Lamenting our lads beyond the sea: —
“In the bluidy wars they fa', and our honor's gane an a',
	And broken hearted we maun die.”
— Robert Burns, As I Stood by Yon Roofless Tower, [CPW, 570]

An incidental purpose of this reconnaissance is to point out the more problematic features of interpretation, and especially the properties of sign comprehension that are observed to be salient in natural settings. It is these more problematic aspects of interpretation that ultimately place the greatest demands on artificial intelligence research, at any rate, if it is going to support an understanding of the ways that human beings use real languages in real practice, or if it is ever going to supply a medium for modeling the ways that human beings develop an ability to produce and to understand real texts.

I am sensitive to the possibility that there are many features in the situation of the present inquiry, perhaps due solely to my description, that make it appear like an artificial, an implausible, or a specialized set of circumstances. I begin by discussing a number of these features, after which I argue that they are really quite typical of any situation where one has to interpret a problematic text in a problematic language. A text or a language is problematic, of course, only in relation to a prospective interpreter. To clarify this sense of the word problematic it helps to introduce the following definitions.

A "fully interpretive language" (FIL) is one whose attributes are fully filled out in all three directions of natural language use, to wit, along syntactic, semantic, and pragmatic dimensions.
A "fully interpretive grammar" (FIG), more commonly referred to as the "full grammar" of a language, is a body of knowledge that generates or specifies a FIL, incorporating the full details of its syntax, semantics, and pragmatics.
A "problematic text" is one that seems to make some sort of sense, but whose meaning, if any, is not entirely clear on first reading.
A "problematic language" is one whose "full grammar" is not yet available for articulation by the user in question, no matter how well the user is able to employ the language itself. It ought to be obvious that all "natural languages" are problematic for their customary users.

As I stood by yon roofless tower,
	Where the wa'flow'r scents the dewy air,
Where the houlet mourns in her ivy bower,
	And tells the midnight moon her care:
— Robert Burns, As I Stood by Yon Roofless Tower, [CPW, 570]

One of the functions of the epitext that I am weaving through the main text of this discussion is to keep constantly before the mind the more problematic features of natural languages, to illustrate the diversity of their utilities, and to notice a few of the elaborative, figurative, and imaginative devices that are not so easily formalized.

It is true that poems and programs share a conscious definition, coming to their collective senses under the head of effective description. At least, it ought to be clear to the impartial observer that there is a close kinship between the words that do to engender action, that start it toward the hope of eventual success, and the words that fit a finite ambition, that point it toward the realms of eternal truth, and that this relation amounts to an accord that unites their intentions or a resonance that serves to bind their performance into a concerted whole, so I leave the reader to rede which is which and to judge on a case by case basis what the individual occasion demands.

It is also true that abstract category theory, in the ways that it affords a view of formal analogies, is largely a study of mathematical metaphors. But aside from all that, there is much else that mathematicians, poets, and programmers are bound to see alike and ought to share in common.

Under many natural circumstances, the only way to unravel the meaning of a problematic text is to place it in the field of influence of a FIL, typically as embodied in a variety of different interpreters, and to see how it is led to develop along the prevailing lines of interpretive force. In corresponding circumstances, approached in a complementary fashion, the only way to uncover the structure of a problematic language is to scatter a sample of signs and texts throughout its field of influence, and then to observe how these literal test particles are led to develop along interpretive lines, and if there is a coherent sensibility in force.

The winds were laid, the air was still,
	The stars they shot along the sky,
The tod was howling on the hill,
	And the distant-echoing glens reply.
— Robert Burns, As I Stood by Yon Roofless Tower, [CPW, 570]

One of the abiding tasks of artificial intelligence research is to figure out how natural languages do what they do for the human mind. This task amounts to articulating the FILs that humans actually use, and thus to arrive at the fully interpretive grammars (FIGs) that generate these FILs, shaping their syntax, semantics, and pragmatics. The main tool that one has in this task is formalization, the process that devises formal models for the ongoing processes of interpretation.

Until one develops a battery of formal methods for exploring fields of interpretive influence and for tracing lines of interpretive force, one tends to be impelled by signs without understanding how or why one is moved by them, to wallow around in interpretive phenomena with little control over what develops, and to wander aimlessly through domains of apparent significance and evident meaning with no insight into their underlying structures and generative forms. Consequently, an attempt to avoid all formalization, though it appears at first sufficient to the gaining of experience, is not sufficient to the gaining of understanding, and therefore ultimately leads to the impoverishment of experience itself.

Unfortunately, there are equally pernicious tendencies that arise in the attempt to formalize experience and thus to arrive at formalized models. There is the tendency, in pursuing formalizations of a difficult subject, to settle on a premature formalization, that is, a narrowly circumscribed set of models, or an overly simplistic typology for addressing the topic, and then, in a vain attempt to avoid further difficulties by dictating to the subject how it ought to behave, to think that a partially successful formalization gives one the right to bar the subject from leaving the charmed circle swept out by its survey, or else to think that one can afford to ignore all aspects of the subject that do not fit within it. This temptation seems to arise on a recurring basis in the history of every formal science, being so well known from the dawn of awareness that its pattern is emblazoned in myth under the name of Procrustes.

The burn, adown its hazelly path,
	Was rushing by the ruin'd wa',
Hasting to join the sweeping Nith,
	Whase roaring seemed to rise and fa'.
— Robert Burns, As I Stood by Yon Roofless Tower, [CPW, 570]

Generally speaking, formalizations constitute an indispensable utility in adapting the intellect to its environment and in helping it to build up relatively stable systems of organized knowledge. But it takes a force to make things fit, since the formal picture is partial to its own bias, and the intellectual image distorts the world as much as it adapts to it.

The violence that is involved in a formalization, that is, the degree of its departure from nature, is observed to become especially acute each time that a specialized community of inquirers succeeds in developing a fresh array of formal methods and formal models, and thereby acquires a standardized resource that appears to equip them with an expanded range of formal powers. For those inquirers, these are competencies whose winning is not easy and whose salve they do not wish to give up, as they think they might by thinking too much about the lineaments of its ligaments and the limitations of its liniments. Consequently, one finds that the following sort of situation typifies the state of formal inquiry: Against every conscious caution that the formalization is only partial and in spite of every conscientious concession that the object domain is vastly more complex that any representation can contain, the tendency persists, once a formalization is fixed, to treat it just as if it were already and always would be perfectly adequate to the object.

The cauld blae North was streaming forth
	Her lights, wi hissing, eerie din:
Athort the lift they start and shift,
	Like Fortune's favors, tint as win.
— Robert Burns, As I Stood by Yon Roofless Tower, [CPW, 570]

Now, looking over firth and fauld,
	Her horn the pale faced Cynthia rear'd,
When lo! in form of minstrel auld
	A stern and stalwart ghaist appear'd.
— Robert Burns, As I Stood by Yon Roofless Tower, [CPW, 570]

And frae his harp sic strains did flow,
	Might rous'd the slumbering Dead to hear,
But O, it was a tale of woe
	As ever met a Briton's ear!
— Robert Burns, As I Stood by Yon Roofless Tower, [CPW, 570]

He sang wi joy his former day,
	He, weeping, wail'd his latter times:
But what he said — it was nae play!
	I winna ventur't in my rhymes.
— Robert Burns, As I Stood by Yon Roofless Tower, [CPW, 570]

5.1.2.9. The Vehicle of Communication : Reflection on the Scene, Reflection on the Self

5.1.2.10. (7)

5.1.2.11. (6)

5.1.2.12. Recursions : Possible, Actual, Necessary

Is there a whim-inspired fool,
Owre fast for thought, owre hot for rule,
Owre blate to seek, owre proud to snool?
	Let him draw near;
And owre this grassy heap sing dool,
	And drap a tear.
— Robert Burns, A Bard's Epitaph, [CPW, 220]

The purpose of a sign, for instance, a name, expression, program, or text, is to denote and possibly to describe an object, for instance, a thing, situation, mode of being, or activity in the world. In cases of practical interest, the object is usually very complex and the sign is usually very simple. Indeed, the intention of the whole descriptive enterprise is take objects as complex and as subtle as possible and to arrive at signs as simple and as concrete as the agent can conceive of fashioning to describe that object. Not surprisingly, the value of this exercise to the agent that carries it out is measured by the degree of difference in the apparent complexities of the object and the sign, or the proportion of success in this project is the measure of its value to the agent involved in it. In the cases of ultimate interest, the sorts of objects that the agent is charged to describe begin with something like the natural and social world itself, moves on to the natural and social language that avails itself to describe this world, and ends up with the natural and social mind that evolves in association with this language and with this world. In effect, a trialogue, a three way dialogue or a threefold dialectic.

When the reality to be described is infinitely more complex than the typically finite resources that an agent has to describe it, then any number of elliptic, multiple, and repeated uses of these resources are bound to occur, leading to the strategies of approximation, abstraction, and recursion, respectively. All of these techniques have in common the fact that a systematic ambiguity in the use of signs is introduced and tolerated, necessitating a new order of context sensitivity, discernment, intelligence, or just plain good sense in the conduct of interpretations. A systematic ambiguity or a controlled equivocation occurs when the same sign is used for many different things or when the same sign is used at many different stages of a process.

Although the elliptic strategy of approximation is tantamount to simply leaving off from the effort to describe a difficult object, in effect, throwing up one's hands in exasperation, exhaustion, supplication, or surrender, by this means hoping to escape from the self imposed part of the requirement to describe it more closely, and finally giving up the attempted description with the significance of the data already recorded, no matter how much the broken off approach falls short of its goal, the closely related strategies of abstraction and recursion are rather more persistent in their tries at describing the object.

Is there a Bard of rustic song,
Who, noteless, steals the crowds among,
That weekly this area throng?
	O, pass not by!
But, with a frater-feeling strong,
	Here, heave a sigh.
— Robert Burns, A Bard's Epitaph, [CPW, 220]

In effect, so long as an agent sticks to the object and persists in the purpose of describing it / this kind of object, ... In other words, an agent is forced to resort to the stratagems of abstraction and recursion, where the same sign is used for many different objects and when the same sign is used to mark the progress of an activity at many different stages of its process, respectively. The underlying principle involved here is a kind of pragmatic pigeonhole principle.

Is there a man, whose judgment clear
Can others teach the course to steer,
Yet runs, himself, life's mad career,
	Wild as the wave? —
Here pause — and, thro the starting tear,
	Survey this grave.
— Robert Burns, A Bard's Epitaph, [CPW, 220]

A resilient enough system of interpretation (RESOI), if driven to the point of distraction by the task of describing an inexhaustibly complex reality, makes several strategies available to its interpretive agent, either for preventing its being driven over the edge or for recovering from the inevitable lapses of attention that nevertheless happen to occur. The most salient of these strategies can be organized for discussion in the following manner:

Approximation. In resorting to approximation, one accepts the variety of natural bounds that apply to one's capacities for significant denotation, acknowledges the practical constraints that affect one's abilities for attending to detail and retaining exact records, and acts accordingly. This means recognizing the limitations of one's capacity for attention, recording the amounts that one can at the levels of accuracy that are feasible, and restricting one's intentions appropriately to capturing an aspect of one's object or representing a fraction of its reality.

Abstraction. In resorting to abstraction, one is trying to escape the limitations of a strict democracy in one's representations, otherwise known as the "one object, one sign" rule. Abstraction occurs when the same sign is used to refer to many different things, often conceived to form a class or a set of objects. In effect, abstraction introduces a common name or a general concept that denotes each individual object in a multitude of particular objects. Typically and most effectively, this comes about in recognition of a common attribute, a general feature, or a universal property that all of these objects share, giving the process of abstraction the beneficial side effect that the abstract sign can be newly re interpreted as referring to the abstract property in question.

Depending on the kinds of entities that are covered by an abstraction and the orders of logical complexity that are involved in this coverage, abstractions can be classified according to their domains of application and qualified according to their manners of construction and derivation. The next topics for discussion are two varieties of abstraction, called recursion and polymorphism, that are especially important for the purpose of building computational models of interpretation and that deserve special mention in the present inquiry.

The poor inhabitant below
Was quick to learn and wise to know,
And keenly felt the friendly glow,
	And softer flame;
But thoughtless follies laid him low,
	And stain'd his name!
— Robert Burns, A Bard's Epitaph, [CPW, 220]

Recursion occurs when the same sign is used at different stages of a designated process, referring to different amounts of work to be done, marking the different amounts of work already done that establish the different settings of work going on, and often appearing at different levels of the agenda, charge, or mission that plots out this process. When a process is described by a text, that is, by a recorded agenda, outline, program, recipe, or script, then the recursion is typically reflected in the recursive sign's appearance at different structural levels of the text that serves to recapitulate or specify the process. For instance, a recursive sign can show up initially in the heading and then turn up at least one more time in the body of a text that codes a specification of a procedure, a text that formulates a definition of a function, or a text that constitutes a program, routine, or subprogram.

Polymorphism is a type of higher order abstraction that occurs when the same sign is used to denote elements of many different conceptual classes or objects of many distinct logical types. Comprehending the possible options calls for many alternative "conventions of intention", many heterogeneous "directions of connotation", and many splintered if still overlapping "moments of interpretation" to sort out the profusion of senses that is engendered. In the intermediate time frame, this type of diversity can appear to require a panoply of intellectual conceptions to organize the resulting multitude of meanings and to demand a variety of connotative planes to arrange their separate senses across, but it ultimately leads to a richer idea of the original aim or the intended object, as the potential for interpretation can be attributed to it.

Reader, attend! whether thy soul
Soars Fancy's flights beyond the pole,
Or darkling grubs in this earthly hole,
	In low pursuit;
Know, prudent, cautious, self control
	Is wisdom's root.
— Robert Burns, A Bard's Epitaph, [CPW, 220]

One of the aims of this work as a whole is to explain the use of sign relations in the interpretation of complex texts, for instance, this sentence, this paragraph, this entire work, just to name a few of the most obvious examples among the many that are conceivable. As the text I produce to explain the pragmatic theory of sign relations is itself just a sign in a sign relation to which the theory is intended to apply, the encounter with self reference, in both the senses of a self referent text and a self referent writer, cannot be avoided. Among the questions that this encounter brings in its train are the issues of self indicating signs, texts, and interpreters, bringing the following topics to a head:

Indexical signs are signs that indicate their own interpretive context.
Reflexive signs are signs that indicate themselves or their issuer.
Recursive signs are signs that embody, enclose, or invoke themselves, that count themselves among their own parts or that include references to these parts within their own compositions, for instance, texts that incorporate references to their own headings, subtitles, or titles.

5.1.2.13. Ostensibly Recursive Texts

5.1.2.14. (3)

5.1.2.15. The Freedom of Interpretation

5.1.2.16. The Eternal Return

5.1.2.17. (1)

5.1.2.18. Information in Formation

5.1.2.19. Reflectively Indexical Texts

Now Robin lies in his last lair,
He'll gabble rhyme, nor sing nae mair;
Cauld poverty wi hungry stare,
	Nae mair shall fear him;
Nor anxious fear, nor cankert care,
	E'er mair come near him.
— Robert Burns, Elegy on the Death of Robert Ruisseaux, [CPW, 268]

A reflectively indexical text (RIT) is a text that refers to any aspect of its actual or intended context of interpretation (COI). With respect to a text, a COI is everything that is conceived to embody its prospects for communication, incorporating the dynamics to actuate the text along with the media to situate the text. For instance, a RIT can refer to any of the formal roles that play a part in actualizing the meaning of a text, in particular, it can refer to the roles of the agents that collaborate to bring its sense to life, in effect, the agents that work to animate it. A special case of a RIT, distinguished as a reflexively indexical text, is one that adverts to its issuer. Depending on whether its references to a COI are explicit or implicit, a RIT is called an ERIT or an IRIT, respectively. Because the same RIT can make many different references, explicit and implicit, to many different aspects of a contemplated COI, the associated attributions do not lead to mutually exclusive categories but merely to overlapping qualifications, any number of which a RIT can possess in parallel, inclusively and independently.

Aside from the usual arrays of messages that a text is meant to convey, a RIT has something to say about the communication situation where it finds itself engaged, where it happens to fall whether the possibility of such an occasion falls within its original intention or not, and where it summons agents to fall in line with its images of things and its patterns of action even if they fail to suit the occasions of their invocations. But more than that, a RIT can indicate the pragmatic setting where it has a call to be understood, where it is designed to evolve one or more clear meanings, and where it presses agents to render these meanings ever more effective in practice.

To tell the truth, they seldom fash'd him,
Except the moment that they crush'd him;
For sune as chance or fate had hush'd 'em,
	Tho e'er sae short,
Then wi a rhyme or sang he lash'd 'em,
	And thought it sport.
— Robert Burns, Elegy on the Death of Robert Ruisseaux, [CPW, 268]

Tho he was bred to kintra-wark,
And counted was baith wight and stark
Yet that was never Robin's mark
	To mak a man;
But tell him, he was learn'd and clark,
	Ye roos'd him then!
— Robert Burns, Elegy on the Death of Robert Ruisseaux, [CPW, 268]

5.1.2.20. (4)

5.1.2.21. (5)

5.1.2.22. (6)

5.1.2.23. (7)

5.1.2.24. (8)

5.1.2.25. The Discursive Universe

Wee sleekit, cow'rin, tim'rous beastie,
O, what a panic's in thy breastie!
Thou need na start awa sae hasty,
	Wi bickering brattle!
I wad be laith to rin an chase thee,
	Wi murdering pattle!
— Robert Burns, To a Mouse, On Turning Her Up in Her Nest with the Plough, [CPW, 131]

This project began with the aim of articulating an aspect of intelligent activity, namely, the inquiry into inquiry that appears to be implied in the very ability to do inquiry, to learn from the impressions of passing experience, and to reason about their indications for future experience. Inspired by the enunciation of these high aims the work proceeds in a top down fashion, though of course the rubble of previous experience is always there to suggest the orders of material to expect at the bottom. This mode of investigation, when it works, amounts to a recursive form of conceptual analysis, starting from the barest conception of its aim, seeking the conditions necessary for the possibility of its actualization, trying to determine the functional components that allow it to operate in principle, undertaking to shore up the practical supports that permit it to prosper in reality, and working to alleviate the practical obstacles that impact on its implementation in adverse ways.

A particular agent does what appears to be necessary at each moment in a succession of moments in order to achieve a particular aim, and hopes that what appears to be necessary to an agent who follows a given path cannot be totally immaterial to what is actually necessary in general. The relationship between apparent necessity and actual necessity is the topic of another discussion later in this work, so I leave it till then. At this point, it only needs to be observed that an apparent necessity constitutes a real force on the agent who observes it, in other words, that it constrains the acts of the agent to whom it appears necessary. Given the freedom of intellect that comes from the reflective criticism of particular developments, a particular agent's particular inquiries are hopefully conceived in such a way as to work toward necessary truths.

I'm truly sorry man's dominion
Has broken Nature's social union,
An justifies that ill opinion,
	Which makes thee startle
At me, thy poor, earth born companion,
	An fellow mortal!
— Robert Burns, To a Mouse, [CPW, 131]

Given the nature of particular agency, along with the circumstance that an inquiry must be carried out by a particular agent, an inquiry is apt to proceed in ways that are far from being absolutely necessary, and it is bound to wander on paths that fail to be optimal in the use of time. But this fact — the fact that many departures from necessity are likely to affect the progress of any particular inquiry, and the fact that such contingencies, deficiencies, and facticities are almost sure to apply to one's present inquiry — although its likelihood in general is frequently suspected by a reflective agent and its certainty in theory is probably apparent to a critical agent, its import is usually not clearly known, not in the detailed sense that its application to the moment in question is available to the agent who needs to act on it, and not in the pressing sense that its bearings on the consequences for experience are apparent to the agent who ought to be concerned about their subsequent effects. But the widespread suspicion that what appears to be necessary is not always actually and absolutely necessary, however much it is likely to verge on the truth, remains completely vague in that form, and it does not conjure up enough of an objection to deter action on what appears to be necessary, not unless a concrete alternative also appears.

In this way one is able to see the form of short term independence, the apparent indifference and the seeming lack of correlation that persists in the meantime, between actual necessities and apparent necessities. The apparent necessity continues to subsist as a factitious matter, no matter how grave it appears to the agent who falls within its orbit and no matter how much it constrains the circumstantial actions of the agent to whom it in fact appears necessary. A lack of actual necessity does not prevent an apparent necessity from continuing to appear just as if it were called for. Conversely, a lack of apparent necessity in no way impedes an actual necessity from continuing to rule the total situation. With all due respect to apparent necessities, the fact of their actual facticity is perfectly capable of holding true, however much these very conditions are able to constrain the actions of the particular agents to whom they appear necessary. Moreover, the factitious nature and the virtual force that are severally attributed to an apparent necessity are just as apparently independent of each other, at least, in medias res. The facticity of an apparent necessity continues to hold in fact, however forcefully it actually succeeds in compelling the activities of an agent. The force of an apparent necessity continues to stay in effect, in spite of its actual facticity, right up until the time when it no longer appears to be necessary.

I doubt na, whyles, but thou may thieve;
What then? poor beastie, thou maun live!
A daimen icker in a thrave
	'S a sma request;
I'll get a blessin wi the lave,
	An never miss't!
— Robert Burns, To a Mouse, [CPW, 132]

What I hope that my discussion of The LOS leads to is an inkling of the type of dialogue that is capable of taking place between a formal domain and the informal context in which it lives, the world in which it is born, continues to grow, and even forces to evolve along with its development, the setting at times in which it lies dormant, remaining restively inert for years or simply sleeping through the appointed phases of the night, the fold in which it is able to be reborn, to come to a new life, and to arise afresh. The form of this dialogue is one that suggests the name for itself of a discursion, a word that is coined to carry a wealth of various possibilities: a dialectic recursion or a recursive dialogue, a recursive analysis (RA) or a recursive excursion (RE), perhaps the very form of recursive inquiry (RI) that admits of its decomposition into one or another recursive undertaking (RU) and thereby maintains the very form of its own constitution. This array of acronyms serves to stake out a ready field of discursive research and exploration, one that is open in certain directions to unformalized possibilities of experience, in a sense or in essence, to its own future.

But the question remains whether sign-bearing agents can act, at least, as if they are able to be aware of their bearing as one component of a coherent, competent, and complete code of conduct, even a form of life. And the question continues how interpreters can acquire their faculties for the conscientious development and the deliberate elaboration of the factors that affect their own interpretive activities, in sum, how they can reflect on the factual contingencies that affect their own sign use, on the facticity of the circumstances that constrain these uses, and on the factors that determine the facility of the conditions that lead up to these uses, and then act on the results of all these reflections to make improvements in all these factors. In this way of broaching the subject of reflection, I am forced to drop it almost immediately, with the aim of starting afresh at another point and approaching the topic again, the next time from another direction.

Thy wee bit housie, too, in ruin!
Its silly wa's the win's are strewin!
An naething, now, to big a new ane,
	O foggage green!
An bleak December's win's ensuin,
	Baith snell an keen!
— Robert Burns, To a Mouse, [CPW, 132]

At times one enters a state of mind that seems so rich in possibilities, teems with so many avenues of interesting departures, and unlocks such veins of unsuspected wealth in the world of ideas that one wants to be sure to revisit it again, in order to explore the rest of the thoughts that seem likely to unfold from its locus, its nexus, and its treasury. But the only way that one can be sure to return to anything like the same state of mind is to put reminders of it all about, at every other point that one later passes through and in the vicinity of every locus the neighborhood of which one is likely to visit. Now a state that one experiences at a former time is not always possible to experience again, but it may be possible to make nearby passes or to approach arbitrarily close to the essence of the exact experience at a host of future times. Then consider a manifold of possible states of mind as forming a space that possesses its conceivable extension. And so one gets these ideas: (1) of a manifold that is suffused with the idea of a manifold that is suffused just so, (2) of a manifold that is suffused with more or less accurate ideas of itself, and (3) of a manifold that is suffused with its own idea just far enough that it can serve to maintain the orbits of the agents that pass through it in suffusion with the very idea of doing so.

If the writer can din the reader into an awareness that the repetition of a word does not imply the repetition of a thought, that the repetition of a sign does not imply the repetition of any idea, that the repetition of a state does not mean its repetition forever, then this repetition serves its purpose, however close it verges on absurdity.

The discussion arrives at the question of signs and texts that signify, beyond their ostensible denotations and their obvious connotations, the characters of their authors, the features of their intended readers, and much more besides about the nature of their joint adventures, whatever their levels of participation in them, the processes of communication.

If the question of the interpreter that is signified by a sign reduces to the question of the interpretation that is signified by that sign, and if this reduces to the question of the interpretant that is signified by the sign, then one arrives at the circumstance of sign that relates to its interpretant along several paths.

"effective descriptions and finite texts" (EDAFTs)

Thou saw the fields laid bare an waste,
An weary winter comin fast,
An cozie here, beneath the blast,
	Thou thought to dwell,
Till crash! the cruel coulter past
	Out thro thy cell.
— Robert Burns, To a Mouse, [CPW, 132]

At this juncture the discussion comes face to face with a type of text, many of whose signs are subject to different levels of interpretation. Besides denoting characters and creatures of legend and myth that form at first sight the subjects of the text, describing their features, and depicting their various adventures, they also appear to be amenable to recursive or self referent interpretations or to suggest an extra sense for themselves. Indeed, they seem designed to serve an added intention of their author, namely, to say something about the aims of the author, the attributes of the audience, whether hoped or feared, and the nature of the whole attempt to communicate.

Just to indicate the types of self reference that are being contemplated, it helps to introduce a number of informal definitions. Let any suitable set of entities {writer, sign, reader} be called a linkage of the sign in question, and let any suitable set of entities {writer, text, reader} be called a linkage of the text in question. In either of these uses, let the subset of entities {writer, reader} be called the link of that linkage, and let the elements of a link be called its ends or termini. At present, the situations of interest are those in which all of the signs in a text, at least, those that denote anything at all, are considered to share the very same link, which they all bear in common with their text. From now on, this condition is taken for granted unless it is otherwise expressly noted. Given a sign within a text, the union of their linkages is a set of entities {writer, sign, text, reader} that is useful to call a nocking of the sign. Together with the specification of a sign relation that suits a particular condition of interpretation, these constructs go toward defining a communication situation, an interpretive setting, or a pragmatic frame for the sign or the text in question.

Naturally, these constructions require a lot more information about the details of a given interpretation in a given situation in order to pin them down exactly, but this is enough to rough out their general ideas. Their main use in the current setting is simply to provide a ready way of talking about the properties of certain kinds of complex texts, as they are become subject to certain kinds of loopy, recursive, or self-referent interpretations.

If a sign within a text is interpreted as making any kind of denotative reference to its own nocking, namely, to the appropriate set of entities {writer, sign, text, reader}, its elements, or its properties, then it is useful to consider this sign and this text as being self referent in the broad sense that they refer to accessory or instrumental aspects of the pragmatic frame itself, and thus can be said to have an internal aim. This can happen whether or not a sign within a text denotes any object beyond its nocking, and thus can be said to have an external aim.

That wee bit heap o leaves an stibble,
Has cost thee monie a weary nibble!
Now thou's turn'd out, for a' thy trouble,
	But house or hald,
To thole the winter's sleety dribble,
	An cranreuch cauld!
— Robert Burns, To a Mouse, [CPW, 132]

In the pragmatic theory of signs it is often said, “The question of the interpreter reduces to the question of the interpretant.” If this is true then it means that questions about the special interpreters that are designated to serve as the writer and the reader of a text are reducible to questions about the particular sign relations that independently and jointly define these two interpreters and their process of communication. The assumptions and the implications that are involved in this maxim are best explained by retracing the analysis that leads to this reduction, setting it out in the following stages:

By way of setting up the question of the interpreter, it needs to be noted that it can be asked in any one of several modalities. These are commonly referred to under a variety of different names, for instance:

What may be: the "prospective" or the "imaginative";
also: the contingent, inquisitive, interrogative, optional, provisional, speculative, or "possible on some condition".
What is: the "descriptive" or the "indicative";
also: the actual, apparent, definite, empirical, existential, experiential, factual, phenomenal, or "evident at some time".
What must be: the "prescriptive" or the "imperative";
also: the injunctive, intentional, normative, obligatory, optative, prerequisite, or "necessary to some purpose".

It is important to recognize that these lists refer to modes of judgment, not the results of the judgments themselves. Accordingly, they conflate under single headings the particular issues that remain to be sorted out through the performance of the appropriate judgments, for instance, the difference between an apparent fact and a genuine fact. In general, it is a difficult question what sorts of relationships exist among these modalities and what sorts of orderings are logically or naturally the best for organizing them in the mind. Here, they are given in one of the possible types of logical ordering, based on the idea that a thing must be possible before it can become actual, and that it must become actual (at some point in time) in order to qualify as being necessary. That is, being necessary implies being actual at some time or another, and being actual implies being possible in the first place. This amounts to thinking that something must be added to a condition of possibility in order to achieve a state of actuality, and that something must be added to a state of actuality in order to acquire a status of necessity.

But Mousie, thou art no thy lane,
In proving foresight may be vain:
The best laid schemes o mice an men
	Gang aft agley,
An lea'e us nought but grief an pain,
	For promis'd joy!
— Robert Burns, To a Mouse, [CPW, 132]

All of this notwithstanding, it needs to be recognized that other types of logical arrangement can be motivated on other grounds. For example, there are good reasons to think that all of one's notions of possibility are in fact abstracted from one's actual experiences, making actuality prior in some empirically natural sense to the predicates of possibility. Since a plausible heuristic organization is all that is needed for now, this is one of those questions that can be left open until a later time.

Taking this setting as sufficiently well understood and keeping these modalities of inquiry in mind, the analysis proper can begin. Any question about the character of the interpreter that is acting in a situation can be identified with a question about the nature of the process of interpretation that is taking place under the corresponding conditions.
Any question about the nature of the process of interpretation that is taking place can be identified with a question about the properties of the interpretant that follows on a given sign. This is a question about the interpretant that is associated with a sign, in one of several modalities and as contingent on the total context.

In summary: The question of the interpreter that is signified to act reduces to the question of the interpretation that is signified to occur, and thus to the question of the interpretant that is signified to follow the given sign under the given conditions. Expanding over the various modalities: The question of the interpreter reduces to the question of the interpretation that is determined, designed, or depicted to occur, and this in turn reduces to the question of the interpretant that is indicated, intended, or imagined to be associated with the given sign.

To follow this reduction in stages, the character of the interpreter that can be signified in some modality to be acting in a situation is identified with the nature of the process of interpretation that can be signified in that same modality to be taking place in that same situation, and this is the matter of the kind of interpretant that can be signified in that same modality to be following on the sign that is given in that same situation.

Still thou art blest, compar'd wi me!
The present only toucheth thee:
But och! I backward cast my e'e,
	On prospects drear!
An forward, tho I canna see,
	I guess an fear!
— Robert Burns, To a Mouse, [CPW, 132]

5.1.2.26. (7)

5.1.2.27. (6)

5.1.2.28. (5)

5.1.2.29. (4)

5.1.2.30. (3)

5.1.2.31. (2)

5.1.2.32. (1)

5.2. Reflective Inquiry

5.2.1. Integrity and Unity of Inquiry

One of the very first questions that one encounters in the inquiry into inquiry is one that challenges both the integrity and the unity of inquiry, a question that asks: “Is inquiry one or many?” By this one means two things:

Concerning the integrity of inquiry: How are the components and the properties of inquiry, as identified by analysis, integrated into a whole that is singly and solely responsible for its results, and as it were, that answers for its answers in one voice? These qualities of unanimity and univocity are necessary in order to be able to speak of an inquiry as a coherent entity, whose nature it is to have and to hold the boundaries one finds in or gives to it, rather than being an artificial congeries of naturally unrelated elements and features. In other words, this is required in order to treat inquiry as a systematic function, that is, as the action, behavior, conduct, or operation of a system.
Concerning the unity of inquiry: Is the form of inquiry that is needed for reasoning about facts the same form of inquiry that is needed for reasoning about actions and goals, duties and goods, feelings and values, guesses and hopes, and so on, or does each sort of inquiry — aesthetic, ethical, practical, speculative, or whatever — demand and deserve a dedicated and distinctive form? Although it is clear that some degree of modulation is needed to carry out different modes of inquiry, is the adaptation so radical that one justly considers it to generate different forms, or is the changeover merely a matter of mildly tweaking the same old tunes and draping new materials on the same old forms?

If one reflects, shares the opinion, or takes the point of view on experimental grounds that inquiry begins with uncertainty, then each question about the integrity and the unity of inquiry can be given a sharper focus if it is re-posed as a question about the integrity and the unity of uncertainty, or of its positive counterpart, information.

Accordingly, one is led to wonder next: Is uncertainty one or many? Is information one or many? As before, each question raises two more: one that inquires into the internal composition of its subject, or the lack thereof, and one that inquires into the external diversity of its subject, or the lack thereof. This reflection, on the integrity and the unity, or else the multiplicity, of uncertainty and information, is the image of the earlier reflection, on the facts of sign use. Once more, what appears in this reflection is so inconclusive and so insubstantial that there is nothing else to do at this point but to back away again from the mirror.

To rephrase the question more concretely: Is uncertainty about what is true or what is the case the general form that subsumes every species of uncertainty, or is it possible that uncertainty about what to do, what to feel, what to hope, and so on constitute essentially different forms of inquiry among them? The answers to these questions have a practical bearing in determining how usefully the presently established or any conceivable theory of information can serve as a formal tool in different types of inquiry.

Another way to express these questions is in terms of a distinction between form and matter. The form is what all inquiries have in common, and the question is whether it is anything beyond the bare triviality that they all have to take place in some universe of inquiry or another. The matter is what concerns each particular inquiry, and the question is whether the matter warps the form to a shape all its own, one that is peculiar to this matter to such a degree that it is never interchangeable with the forms that are proper to other modes of inquiry.

5.2.2. Apparitions and Allegations

Next I consider the preparations for a phenomenology. This is not yet any style of phenomenology itself but an effort to grasp the very idea that something appears, and to grasp it in relation to the something that appears. I begin by looking at a sample of the language that one ordinarily uses to talk about appearances, with an eye to how this medium shapes one's thinking about what appears. A close inspection reveals that there are subtleties issuing from this topic that are partly disclosed and partly obscured by the language that is commonly used in this connection.

An apparition, as I adopt the term and adapt its use to this context, is a property, a quality, or a respect of appearance. That is, it is an aspect or an attribute of a phenomenon of interest that appears to arise in a situation and to affect the character of the phenomenal situation. Apparitions shape themselves in general to any shade of apperception, assumption, imitation, intimation, perception, sensation, suspicion, or surmise that is apt or amenable to be apprehended by an animate agent.

An allegation, in the same manner of speaking, is any description or depiction, any expression or emulation, in short, any verbal exhalation or visual emanation that appears to apprehend a characteristic trait or an illuminating trace of an apparition.

The terms apparition and allegation serve their purpose in allowing an observer to focus on the sheer appearance of the apparition itself, in assisting a listener or a reader to attend to the sheer assertion of the allegation itself. Their application enables an interpreter to accept at first glance or to acknowledge at first acquaintance the reality of each impression as a sign, without being forced to the point of assuming that there is anything in reality that the apparition is in fact an appearance of, that there is anything in reality that the allegation is in deed an adversion to, or, as people commonly say, that there is anything of substance "behind" it all.

Ordinarily, when one speaks of the appearance of an object, one tends to assume that there is in reality an object that has this appearance, but if one speaks about the apparition of an object, one leaves more room for a suspicion whether there is in reality any such object as there appears to be. In technical terms, however much it is simply a matter of their common acceptations, the term appearance is said to convey slightly more existential import than the term apparition. This dimension of existential import is one that enjoys a considerable development in the sequel.

If one asks what apparitions and allegations have in common, it seems to be that they share the character of signs. If one asks what character divides them, it is said to be that apparitions are more likely to be generated by an object in and of itself while allegations are more likely to be generated by an interpreter in reaction to an alleged or apparent object. Nevertheless, even if one agrees to countenance both apparitions and allegations as a pair of especially specious species of signs, whose generations are differentially attributed to objects and to interpreters, respectively, and whose variety runs through a spectrum of intermediate variations, there remains a number of subtleties still to be recognized.

For instance, when one speaks of an appearance of a sign, then one is usually talking about a token of that type of sign, as it appears in a particular locus and as it occurs on a particular occasion, all of which further details can be specified if required. If this common usage is to be squared with calling apparitions a species of signs, then talk about an appearance of an apparition must have available to it a like order of interpretation. And thus what looks like a higher order apparition, in other words, an apparition of an apparition, is in fact an even more particular occurrence, specialized appearance, or special case of sign. At this point I have to let go of the subject for now, since the general topic of higher order signs, their variety and interpretation, is one that occupies a much broader discussion later on in this work.

Any action that an interpreter takes to detach the presumed actuality of the sign from the presumed actuality of its object, at least in so far as the sign appears to present itself as denoting, depicting, or describing a particular object, remains a viable undertaking and a valuable exercise to attempt, no matter what hidden agenda, ulterior motive, or intentional object is conceivably still invested in the apparition or the allegation. If there is an object, property, or situation in reality that is in fact denoted or represented by one of these forms of adversion and allusion, then one says that there is a basis for acting on them, a justification for believing in them, a motivation for taking them seriously, a reason for treating them as true, or a foundation that is capable of lending support to their prima facie evidence.

Once the dimension of existential import is recognized as a parameter of interpretation, for example, as it runs through the spectrum of meanings that the construals of apparitions and appearances are differentially scattered across, then there are several observations that ought to be made about the conceivable distributions of senses:

In principle, the same range of ambiguities and equivocalities affects both of the words apparition and appearance to the same degree, however much their conventional usage tilts their individual and respective senses one way or the other.
Deprived of its existential import, the applicational phrase appearance of an object (AOAO) means something more akin to the adjectival or analogous phrase object-like appearance (OLA). Can it be that the mere appearance of the preposition of in the application "P of Q" is somehow responsible for the tilt of its construal toward a more substantial interpretation, one with a fully existential import?
Interpreting any apparition, appearance, phenomenon, or sign as an appearance of an object is tantamount to the formation of an abductive hypothesis, that is, it entertains the postulation of an object in an effort to explain the particulars of an appearance.
The positing of objects to explain apparitions, appearances, phenomena, or signs, to be practical on a regular basis, requires the preparatory establishment of an interpretive framework (IF) and the concurrent facilitation of an objective framework (OF). Teamed up together, these two frameworks assist in organizing the data of signs and the impressions of ideas in connection with the hypotheses of objects, and thus they make it feasible to examine each object-like appearance and to convert each one that is suitable into an appearance of an object.

At this point it ought to be clear that the pragmatic theory of signs permits the whole of phenomenal reality (WOPR) to be taken as a sign, perhaps of itself as an object, and perhaps to itself as an interpretant. The articulation of the exact sign relation that exists is the business of inquiry into a particular universe, and this is a world whose existence, development, and completion are partially contingent on the character, direction, and end of that very inquiry.

The next step to take in preparing a style of phenomenology, that is, in acquiring a paradigm for addressing apparitions or in producing an apparatus for dealing with appearances, is to partition the space of conceivable phenomena in accord with several forms of classification, drawing whatever parallel and incidental lines appear suitable to the purpose of oganizing phenomena into a sensible array, in particular, separating out the kinds of appearances that one is prepared to pay attention to, and thus deciding the kinds of experiences that one is ready to partake in, while paring away the sorts of apparitions that one is prepared to ignore.

It may be thought that a phenomenology has no need of preparation or partition, that the idea is to remain openly indiscriminate and patently neutral to all that appears, that all of its classifications are purely descriptive, and that all of them put together are intended to cover the entire range of what can possibly show up in experience. But attention is a precious resource, bounded in scope and exhausted in detail, while the time and the trouble that are available to spend on the free and the unclouded observation of phenomena are much more limited still, at least, in so far as it concerns finite agents and mortal creatures, and thus even the most liberal phenomenology is forced to act on implicit guidelines or to put forward explicit recommendations of an evaluative, a normative, or a prescriptive character, saying in effect that if one acts in certain ways, in particular, that if one expends an undue quantity of attention on the "wrong" kinds of appearances, then one is bound to pay the price, in other words, to experience unpleasant experiences as a consequence or else to suffer other sorts of adverse results.

This observation draws attention to the general form of constraint that comes into play at this point. Let me then ask the following question: What is the most general form of preparation, partition, or reparation, of whatever sort of disposition or structure, that I can imagine as applying to the whole situation, that I can see as characterizing its experiential totality, and that I can grasp as contributing to its ultimate result? For my own part, in the present situation, the answer appears to be largely as follows.

As far as I know, all styles of phenomenology and all notions of science, whether general or special, either begin by adopting an implicit recipe for what makes an apparition worthy of note or else begin their advance by developing an explicit prescription for a "worthwhile" appearance, a rule that presumes to dictate what phenomena are worthy of attention. This recipe or prescription amounts to a critique of phenomena, a rule that has an evaluative or a normative force. As a piece of advice, it can be taken as a tentative rule of mental presentation (TROMP) for all that appears or shows itself, since it sets the bar for admitting phenomena to anything more than a passing regard, marks the threshold of abiding concern and the level of recurring interest, formulates a precedence ordering to be imposed on the spectra of apparitions and appearances, and is tantamount to a recommendation about what kinds of phenomena are worth paying attention to and what kinds of shows are not worth the ticket — in a manner of speaking saying that the latter do not repay the price of admission to consciousness and do not earn a continuing regard.

The issue of a TROMP ("tentative rule of mental presentation") can appear to be a wholly trivial commonplace or a totally unnecessary extravagance, but realizing that a choice of this order has to be made, that it has to be made at a point of development where no form of justification of any prior logical order can be adduced, and thus that the choice is always partly arbitrary and always partly based on aesthetic considerations, ethical constraints, and practical consequences — all of this says something important about the sort of meaning that the choice can have, and it opens up a degree of freedom that was obscured by thinking that a phenomenology has to exhaust all apparitions, or that a science has to be anchored wholly in bedrock.

If it appears to my reader that my notion of what makes a worthwhile appearance is tied up with what I can actually allege to appear, and is therefore constrained by the medium of my language and the limits of my lexicon, then I am making the intended impression. One of the reasons that I find for accepting these bounds is that I am decidedly less concerned with those aspects of experience that appear in one inconsistent and transient fashion after another, and I am steadily more interested in those aspects of experience that appear on abiding, insistent, periodic, recurring, and stable bases. Since I am trying to demonstrate how inquiry takes place in the context of a sign relation, the ultimate reasons for this restriction have to do with the nature of inquiry and the limited capacities of signs to convey information.

Inquiry into reality has to do with experiential phenomena that recur, with states that appear and that promise or threaten to appear again, and with the actions that agents can take to affect these recurrences. This is true for two reasons: First, a state that does not appear or does not recur cannot be regarded as constituting any sort of problem. Second, only states that appear and recur are subject to the tactics of learning and teaching, or become amenable to the methods of reasoning.

There is a catch, of course, to such a blithe statement, and it is this: How does an agent know whether a state is going to appear, is bound to recur, or not? To be sure, there are hypothetically conceivable states that constitute obvious problems for an agent, independently of whether an instance of them already appears in experience or not. This is the question that inaugurates the theoretical issue of signs in full force, raises the practical stakes that are associated with their actual notice, and constellates the aspect of a promise or a threat that appears above. Accordingly, the vital utility of signs is tied up with questions about persistent appearances, predictable phenomena, contingently recurrent states of systems, and ultimately patterned forms of real existence that are able to integrate activity with appearance.

In asking questions about integral patterns of activity and appearance, where the category of action and the category of affect are mixed up in a moderately complicated congeries with each other and stirred together in a complex brew, it is helpful on a first approximation to "fudge" the issue of the agent a bit, in other words, to "dodge", "fuzz", or "hedge" any questions about the precise nature of the agent that appears to be involved in the activities and to whom the appearances actually appear. This intention is served by using the word "agency" in a systematically ambiguous way, namely, to mean either an individual agent, a community of agents, or any of the actions thereof. In this vein, the following sorts of questions can be asked:

What appearances can be recognized by what agencies to occur on a recurring basis? In other words, what appearances can be noted by what agencies to fall under sets of rules that describe their ultimate patterns of activity and appearance?
What appearances can be shared among agents and communities that are distributed through dimensions of culture, language, space, and time?
What appearances can be brought under the active control of what agencies by observing additional and alternative appearances that are associated with them, that is, by acquiring and exploiting an acquaintance with the larger patterns of activity and appearance that apply?

There is a final question that I have to ask in this preparation for a phenomenology, though it, too, remains an ultimately recurring inquiry: What form of reparation is due for the undue distribution of attention to appearance? In other words, what form of reform is called on to repair an unjust disposition, to remedy an inadequate preparation, or to adjust a partition that is not up to par? Any attempt to answer this question has occasion to recur to its preliminary: What form of information does it take to convince agents that a reform of their dispositions is due?

As annoying as all of these apparitions and allegations are at first, it is clear that they arise from an ability to reflect on a scene of awareness, and thus, aside from the peculiar attitudes that they may betray from time to time, they advert to an aptitude that amounts to an inchoate agency of reflection, an incipient faculty of potential utility that the agent affected with its afflictions is well-advised to appreciate, develop, nurture, and train, in spite of how insipid its animadversions are alleged to appear at times. This marks the third time now that the subject of reflection has come to the fore. Paradoxically enough, no increment of charm appears to accrue to the occasion.

A good part of the work ahead is taken up with considering ways to formalize the process of reflection. This is necessary, not just in the interest of those apparitions that are able to animate reflection, or for the sake of those allegations that are able to survive reflection, but in order to devise a regular methodology for articulating, bringing into balance with each other, and reasoning on the grounds of the various kinds of reflections that naturally occur, the apparitions that arise in the incidental context of experience plus the allegations that get expressed in the informal context of discussion. Later discussions will advance a particular approach to reflection, bringing together the work already begun in previous discussions of interpretive frameworks (IFs) and objective frameworks (OFs), and constructing a compound order or a hybrid species of framework for arranging, organizing, and supporting reflection. These tandem structures will be referred to as reflective interpretive frameworks (RIFs).

Before the orders of complexity that are involved in the construction of a RIF can be entertained, however, it is best to obtain a rudimentary understanding of just how the issues associated with reflection can in fact arise in ordinary and unformalized experience. Proceeding by this path will allow us to gain, along with a useful array of moderately concrete intuitions, a relatively stable basis for comprehending the nature of reflection. For all of these reasons, the rest of this initial discussion will content itself with a sample of the more obvious and even superficial properties of reflection as they develop out of casual and even cursory contexts of discussion, and as they make themselves available for expression in the terms and in the structures of a natural language medium.

5.2.3. A Reflective Heuristic

In a first attempt to state explicitly the principles by which reflection operates, it helps to notice a few of the tasks that reflection performs. In the process of doing this it is useful to keep this figure of speech, where the anthropomorphic reflection is interpreted in the figure of its personification, in other words, as a hypostatic reference that personifies the reflective faculty of an agent.

One of the things that reflection does is to look for common patterns as they appear in diverse materials. Another thing that reflection does is to look for variations in familiar and recognized patterns. These ideas lead to the statement of two aesthetic guidelines or heuristic suggestions as to how the process of reflection can be duly carried out:

Try to reduce the number of primitive notions.

Try to vary what has been held to be constant.

These are a couple of aesthetic imperatives or founding principles that I first noticed as underlying motives in the work of C.S. Peirce, informing the style of thinking that is found throughout his endeavors (Awbrey & Awbrey, 1989). It ought to be recognized that this pair of imperatives operate in antagonism or work in conflict with each other, each recommending a course that strives against the aims of the other. The circumstances of this opposition appear to suggest a mythological derivation for the faculty of reflection that is being personified in this figure, as if it were possible to inquire into the background of reflection so deeply as to reach that original pair of sibling rivals: Epimetheus, Defender of the Same; Prometheus, Sponsor of the Different.

Aesthetic slogans and practical maxims do not have to be consistent in all of the exact and universal ways that are required of logical principles, since their applications to each particular matter can be adjusted in a differential and a discriminating manner, taking into account the points of their pertinence, the qualities of their relevance, and the times of their salience. Nevertheless, the use of these heuristic principles can have a bearing on the practice of logic, especially when it comes to the forms of logical expression and argumentation that are available for use in a particular language, specialized calculus, or other formal system. Although one's initial formulations of logical reasoning, in the shapes that are seized on by fallible and finite creatures, can be as arbitrary and as idiosyntactic as particular persons and parochial paradigms are likely to make them, a dedicated and persistent application of these two heuristic rudiments, whether in team, in tandem, or in tournament with each other, is capable of leading in time to forms that subtilize and universalize, at the same time, the forms initially taken by thought.

5.2.4. Either/Or : A Sense of Absence

Che faro senza Euridice ?
Dove andro senza il mio ben ?
Che faro ? Dove andro ?
Che faro senza il mio ben ?

What can I do, with Eurydice gone?
And whither go, without my dearest love?
What can I do? And whither go?
What can I do without my dearest love?
	Gluck, Orfeo ed Euridice, [Glu, 74]

While I'm on the subject of imperatives and maxims, of how they often come in pairs that appear to strive both pro and con each other, and of how they are able to make a kind of sense, whether in conjunction or in alternation, without having to be logically consistent with one another, …

Absent a sense of what is good a creature is lost. And since this sense is only a feeling, a groping, a hint, an inkling, all in all a wandering shade, it can only be a sign of what is good, and a fallible sign at that. Does a sense of what's good ever contend with a sense of what's good? If the mind is inclined to emphasize the turn of the phrase that it is bound to hold nearer to itself, namely, the mind's own “sense”, then it seems to indicate an aesthetic sensibility. If the mind is disposed to stress the part of speech that it places more dearly in association with its object, namely, the mind's own “good”, then it seems to take on an ethical intention. But this is just shadow play. The live question is: What is there in this state of disharmony that speaks to its absence?

5.2.5. Apparent, Occasional, and Practical Necessity

In the present state of things a man abandoned to himself in the midst of other men from birth would be the most disfigured of all. Prejudices, authority, necessity, example, all the social institutions in which we find ourselves submerged would stifle nature in him and put nothing in its place. Nature there would be like a shrub that chance had caused to be born in the middle of a path and that the passers by soon cause to perish by bumping into it from all sides and bending it in every direction.

Rousseau, Emile, or On Education, [Rou1, 37]

I appear to be entering an apparent arena where it is apparently necessary to approach every appearance of an absolute concept, and so every apperception of an abstract idea, with an air of apprehension, to attend as assiduously as I am able to the factitious aspect of every concept approached, every fact asserted, every idea approximated, and every predicate applied, as each advances from a potentially articulate to a palpably artificial species of phenomenon, and thus to appreciate for myself the quality of an apparition that seems to affect everything that I apprehend, and also to apprise others of the attitude that I find I am advised to adopt, by attempting to append to every article of note an appraisal of the aura of evanescence and instability that appears all about it, to assign to every point of application a device to reflect the animate artifice that is pressured to suit its address to the subject, to attach to every point of articulation a reflex of the animating instinct that is appealed to for flexing the armament of its attack on the theme, to affix an array of verbal hedges all around it to serve as an appellate apparatus and to assure an attitude of appropriate reserve toward it.

As I enter this allegorical and apparitional context, I find that every attempt at articulate expression is affected with an array of afflictions. In this abode of seeming allegations, this abyss of teeming apparitions, every point I try to make is quickly surrounded by a brace of blooming confusions and rapidly swarmed over by a mass of buzzing diffusions.

Here, the qualifiers "alleged by", "alleged", "allegedly", in allegiance with the qualifiers "appears to", "apparent", "apparently", and arranged alongside all of their associated, derivative, and equivalent modifiers, can literally be distributed to any part of speech, any phrase of any sentence, or any phase of discourse that I can think to assemble or venture to articulate.

Here, the admonitions "alleged" and "apparent" can arguably be applied to any term, any premiss, and any argument that appears to enter an arena of discussion or that afterwards appears to arouse attention.

Here, the amplifications that appear almost able to assert themselves here, that array themselves at all available points of articulation and arraign as arrant adventures all attempts at advancing any appreciable amount beyond appearances and allegations, that avail themselves of all the available veils of allusion to the vanity of appearances, but only accomplish another order of obfuscation, that are able to accumulate in any account that attempts to appreciate all that allegedly appears in it, all the allied assonances of asinine alliterations and that is augmented in accord with all that is actually fit to print, ascends to an altitude of such arrogance that it assumes the ability to arrest all the associates of its nominal constants and of the point of overpowers its pronounced variables, as the latter are so typically represented by the deceptively percussive decussation of the variable name "X", appear to excise out of existence the very objects that it aims to mark in the forms of its syntax.

As I continue to pursue the problems that remain of interest to me here, I am led to increase the manifold of ways that are available to converge on each object, to insert a growing multitude of signs into the medium, and to introduce new points of articulation into the developing text. Each of these developments appears to arise in a natural fashion from the intentions that I bring to this work and as I bring them to bear on each object in view, as I search for a way to catch at least a fractured image of its more glaring aspects and as I strive to settle on a way to pin down at least a fragmentary inkling of its more striking features. If I aim to bring home this catch in the net of those few terms that I can fix in the forms of its sieve and fasten in the figures of its syntax, then I need to adjust the scope of the modifiers that are affixed from the frames of its paradigms and afforded by the folds of its inflections. But each new sign that I adduce, in the instant that it starts to afford a point of attachment, one that seems sufficient to suspend the orders of variation that appear to me, in that same moment it also occasions a point of departure, one that seems necessary to pursue through orders of variation that are barely hinted at in my present imagination, and each element of which promises to serve as a conceptual peg that whole new orders of conceivable changes can be pinned on.

As a result of these developments, an initially admirable attempt at clarification issues in a luminescent haze of modulations that affects every object in sight with a spectral host of modifiers, that glosses over the original indictment of every object of investigation, that limns every outline of a potential content with a dubious aura of charismatic nuances, that surrounds every figure with an array of apprehensions without quite arresting any detail of observation, and that obscures the interior features of every shape with a sheer but sketchy silhouette.

The reverberant perturbations that stem from each new predicate added to the account appear to interfere with the very mode of action or the very state of being that it attempts to delineate about its subject, where the numinous veils of adumbration that evolve about every object ascend to levels of amplitude that appears to collapse the very objects, acts, and facts that they began with the aim to connote, and finally, where the corresponding moment of coruscation that precipitate about every object finally seems to crush it beneath the weight of its own encrustation, to corrupt the sense of the original signs, to corrode the very object of their intention, and to scatter the remains of the object in a chorus of vacillations that detonate every intention to denote.

In this way it is possible to discover, if nothing else, a few of the ways that reflection can go astray. It appears to be clear from the drift that is evident in this particular style of investigation that there do indeed exist "modes of dispersive reflection" (MODR's) that "murder to dissect" the objects of their investigation. Under the influence of these styles, an initially admirable attempt at clarification appears to issue in a fog of glosses, a luminous haze of interpolations, a numinous cloud of nuances, a questionable array of qualifications, all of which threaten to blot out the original object of inquiry.

Try to imagine a religious icon, an object of veneration in many ways — to many it is a mystery in its own right, to many it is a wonder that they invest in it, and to some it is meaningful solely for the sake of what it represents to the understanding — now broken to pieces by the catastrophes of nature, the invading infidel, or the indifferent vandal, now scattered by hordes of iconoclasts, now gathered again and hoarded by troops of souvenir seekers, here and there exploited for use as raw materials in a host of new constructions, leaving the chips in the dust and the immovable chunks to fall where they may, or casting what's left in the waterway, now and again finding the pieces partly encrusted with barnacles and partly worn smooth by the actions of waves through time, until they barely bear a likeness to anything anyone ever bore in mind. What chance is there now of anyone re assembling the resemblance once more, of fitting the pieces together in the way they are meant to be?

This is the situation of humanity after the "Destruction of Babel", if one takes this fable as a metaphorical way of accounting for a current condition that is real enough, the evident lack of communication that prevails among the host of purported communities. This is not just a matter of linguistic diversity, but a question of fundamental beliefs. If the legend is interpreted with a due measure of discernment, then the downcast state of understanding that it purports to explain is not so much a matter of superficial differences in syntax as it is concerned with the deeper semantics of ultimate meanings.

Humanity survives in what appears to be an abject state, with regard to its fondest hopes and with respect to its projected ideals if not with reference to its literal origins, that is, in relation to the founding meanings that it appears to invest in all of its most basic intentions. Each portion of humanity takes the share of value that is disbursed to it as their collective host is dispersed into a rout of value systems. Taking each fragment of meaningful value as it receives it from this encounter and from this deliverance, it appears as if each fraction of humanity is deliberately restricted to a dissipative way of acting for ever after. Given the numerous "common koines" that are its lot, its loot, its boot, and its strapping, the abiding community of interests appears to be hobbled by the limited extent that these means afford it to purchase a meaningful expression for itself in the market of ideas. For all of these reasons and more, humanity appears to operate in what amounts to a degraded condition, at least, as it stacks up against the potential that humanity conceivably has for actualizing common ideals, implementing shared meanings, and realizing globally distributed values.

At this point one chances on a new source of power in symbols, signs that allow of being cobbled together in just the condition that they arrive and in just the mode that they derive from incidental sources, in all their partially eroded shapes and variously polished textures, without being forced to fit exactly in any form of pre arranged setting. In this way one is forced, as it were, by the ravages of time, and in a rather paradoxical fashion, to accept responsibility for an extra degree of flexibility and a novel measure of freedom. More than other types of signs, namely, in contrast to icons and indices that retain more or less independent arrays of formal and material connections, respectively, with their objects, symbols require the living actuality of an interpreter to read between the lines and to fill in the mortar between the more static building blocks of discourse.

There has to be a way to alleviate the tensions that are vaulted away in this suspension of signs without recanting the significance of the sense that their union is intended to intensify, a way to bear the overbearing turgidity of the result that is expressed in their coagulate composition without precipitating the full collapse of the subtended circumspection, a way to clarify the oppressive turbidity of the medium that is stirring to carry this tedium without embroiling the odium in the melody past all hope of its ultimate redemption, a way to distill the solutions that are synthesized in this distribution of moduli to termini without despoiling the tribute of the lesson that all are concerted to spell out in unison, a way to redress the grievances that remain disconsolate in their levies without leaving a pan of their balancing act to wait upon imponderables, a way to revisit the guarded commentaries that are billetted at, around, and through every locus that rises to a point of note in this discourse, a way to trim the edges of the hedges that trim each note of vacillation just as it begins to border on broaching any point that falls into view, a way to unify the manifold of apparent sensitivities to appearance that are likely to be displayed in the complexion and the countenance of this evolving expression and that ought to find their signs manifested in any sensible account of its conduct, its demeanor, its meaning, or its mien, but without numbering up to infinity the signs of apparent sensitivities that could express an appearance in the evolution of this expression and without numbing down into oblivion the sensitivity to apparent sensation that the expression of this evolution is adapted or designed to develop, and thus I am charged to go in search of the likeliest ways that appear.

From time to time some brief and insubstantial reflection arose concerning the instability of the things of this world, whose image I saw in the surface of the water, but soon these fragile impressions gave way before the unchanging and ceaseless movement which lulled me and without any active effort on my part occupied me so completely that even when time and the habitual signal called me home I could hardly bring myself to go.

Rousseau, Reveries of the Solitary Walker, [Rou2, 87]

It is just when the whole phenomenal world threatens to dissolve into a texture of appearances that this show of nature reveals a secret kinship with the very texts of human discourse that interweave its pattern — that interlace its threads and interpret its suggestions, here supplying a neutral backing for the bolder displays of natural phenomena, there embroidering a new elaboration or a wholly superfluous decoration on the brocades that nature affords, that try to catch up the raveled clues of phenomena in the variegated weaves of their own local colors, that vie to sew up the knots of the world within their nets of rival description, and that venture to convert a patchwork of piecewise sensible events into a manifold of eventual sense, no matter how transient and tentative it proves itself to be — and thus the whole show of nature saves itself through the artifice of recognizing this kinship.

After a state of affairs advances this far, it is easy to see what an unwieldy nuisance it is to have to keep on inserting the reminders of appearance on the scene of awareness, what a cumbersome annoyance burdensome constant that might be inserted on apparitional reminders of appearance / to save the mementos of mortal frailty that no earthly agent has sufficient forbearance to attend on all the apparitions of appearance that are possible to spy on the scene of phenomena, and … Rather than trying to maintain a constant appeal to the apparent status of everthing the mind posits and instead of bothering to preserve a continual admonition to remember the frailties of mortal mentality, … When it becomes unwieldy to maintain a constant appeal to appearances and annoying to preserve a continual admonition of past the point of becoming a constant annoyance and a continual nuisance, one can settle on a where the resonances and the resplendences that are set up among the sights and the sounds of the signs that appear all seem to break up the very solidity of the objects themselves — but only seems to do so — it must be an aberration of the medium that makes them seem to shimmer.

Let this cadenza then be descanted: (1) that the necessities of a live interpretation can never be discounted, (2) that the interruptions of a faithful interpreter are never truly out of order, and (3) that to each (a) hint of allegation, (b) mark of appearance, or (c) note of attainder a dutiful interpreter is resoundingly enjoined to adjoin the rejoinders: "Says who?", "Sees who?", or "Cui bono?", respectively.

The rule is often invoked: To make a virtue out of necessity. In the present arena, already ruled over by modes of apparition and allegation, I am obliged to reconstitute apparent necessities as apparent virtues: (1) by examining the very form of rhetorical expediency that appears to be forced on me at this point, (2) by considering the practical lessons that can be drawn from the lines of its force, and (3) by contemplating the possibility that a genuinely valid form of logical argument can in fact be extracted from the raw materials of this and similar examples.

5.2.6. Approaches, Aspects, Exposures, Fronts

A large part of this project is devoted to the construction of various frameworks, as objects that are intended to satisfy a set of abstract requirements or partial specifications.

Over and above the specialized properties that go toward distinguishing the structural and the functional approaches from each other, and apart from the levels of detail that go to make up their particular instances, it is useful to consider the common form of activity that appears to be involved in both approaches, and thus to abstract the form of a “front”. In general, a “front” is an abstract form of organization that appears to embody itself or manages to realize itself in a concrete mass of material activities, and thus to constellate a pattern of action in space and time. This explains how the image of a “front” is relevant to various ways of approaching an object, and thus it indicates the sense of the metaphor, as far as it goes. But when it comes to the kind of a “front” that finds itself configured in a particular way of approaching the construction of an intended object, then there are more specific features that remain to be described.

As a form of activity that possesses a definite direction and perhaps even a deliberate purpose, a front marks the initial organization of an otherwise confused mass of material actions and momentary transits into a moderately coherent movement toward a common end or a shared goal. When a front is regarded as a partial envisioning of its intended object, a prospective view of the possibilities that are being afforded for its construction, and a proximal approach to many critical questions about the object, for instance, whether and how an object that satisfies the intended description can be constructed, then this front is clearly seen to constitute a form of inquiry in its own right.

Regarded as a form of inquiry, a front arrays itself into a gradual succession of agencies, faculties, or processes. Broadly taken, these divide into two parts, which can be personified in the following terms:

The “van” exposes the generative ideas that come to the fore in shaping a front. In this role, the van is exposed to a host of material instances that it is forced to face with some ambivalence, since they afford not only a field of real opportunities for the advance of the front but also a range of obstructive challenges to its continued viability. The duty of agents in the van is to try to enunciate as clearly as possible the principles that determine the constitution of the front, the virtues of which ideas are in all likelihood responsible for inspiring their allegiance to this front. Actions that belong to the van, in regard to the ways that their logical arrangements, spatial placements, and temporal successions can be put in relationship to each other, are typically found to work best if they can (a) keep to the leading edge of the front, (b) stay as far as possible ahead of the game, (c) finish their part of the work before the main body of activities in the front gets going to cloud the issue, and (d) vest their results on the crest of the wave, where they are the easiest to find in a pinch.
The “ruck” collects the supporting activities of the front that (a) stand behind its gradual advance, (b) contribute to its incremental development, and (c) maintain the continuity of its automatic functions.

As forms of partial and proximal approach, the structural and functional fronts of inquiry, considered in connection with the trains of supporting activity that stand behind their gradual advance, and taken in light of the waves of successive investigation that are bound to follow in their causal wakes, are constitutionally required to interrogate each other's prerogatives and even prospectively to cover the selfsame jurisdiction. Of course, it is almost inevitable that the persistent advances of these independently principled inquiries will eventually run across each other, since they criss-cross the same regions of concern over and over again. Over time, as these contrasting frontal systems come to meet and start to pass through each other, no matter whether they find themselves in one common accord or whether they are found at cross purposes to each other, no matter whether it is a mutual facilitation or a counterposed reluctance and resistance that their regimes of effrontery induce in one another, they are most likely determined to continue with their separate progressions until, sooner or later, they intersect each other at every point of interest under survey, and accordingly transect their common space in a way that yields a coordinate system for the RIF as a whole.

In the previous paragraph I tried to give a graphic description of how a coordinate system for an area of discussion can arise from conceptual considerations and develop through what are “principally” logical forms of analysis. If the whole development seems a bit obtuse in the beginning, and remains oblique until the very end, when it finally becomes obvious what is already transpiring, then that is just the way it often occurs. It frequently happens that one person, working at one time, presents a formally defined domain, as it appears from one point of view, and then another person, or the same person working at another time, presents a formally different domain, or one that appears from another perspective, and only a bit late does it occur to anyone that the underlying domains referred to are partially the same, or perhaps wholly coincident spaces of objects. Only then, as if an afterthought to this step of synthesis, does it become abundantly clear that inferences comprising a whole new level of implications can derive from the superimposition of the various analytic frameworks, that is, from the fact that these different kinds of properties apply to each and every object in the composite view.

5.2.7. Synthetic A Priori Truths

Nature, we are told, is only habit. What does that mean? Are there not habits contracted only by force which never do stifle nature? Such, for example, is the habit of the plants whose vertical direction is interfered with. The plant, set free, keeps the inclination it was forced to take. But the sap has not as a result changed its original direction; and if the plant continues to grow, its new growth resumes the vertical direction.

Rousseau, Emile, or On Education, [Rou1, 39]

There is a particular line of thinking, incidental to this construction, that is useful to draw out and to develop for the bearing it has and the perspective it gives on a long standing puzzle, namely, the question of synthetic a priori truths. These are the kinds of truths that usually require considerable efforts of discovery and invention just to realize the truth of, and yet that are commonly felt after the fact to have always been completely destined, evident, foregone, and necessary. It is a matter of controversy in some circles whether truths of this order really exist, or, if truths of any such character do exist, then whether they really fall under the exact terms of the given description. But the “thrill of discovery” that marks their actual experience is real enough in practice, in logic, in mathematics, and in other formal studies, where even the most purely deductive conclusions do not seem so wholly foregone in their ways that one can afford to forgo the joys and the trials of their proofs. Thus, it follows that the persistence of this experience, as felt, needs to be appreciated in itself, no matter what scheme of theory one selects to explain it or else to explain it away.

Let me abstract, for the moment, from the structural and functional axes of the current construction, describing any development along analogous lines as a process of “coordination”, and referring to the form of what results as an “axial coordinating system” (ACS), with axes to be named. What I want to highlight here is the typical progression of experiences that an agent passes through in the process of developing any instance in the form of an ACS, starting from (1) the performance of the separate analyses, working through (2) the synthesis of their combined results, and finally moving on to (3) the derivation of the novel implications on a freshly refurbished stage of inference. Making these abstractions not only yields a clearer view of the relevant structures involved in the process but it also develops a generalized picture of the coordination project that is much more flexible in the present use and increasingly adaptable to future applications.

With an eye to the generic features of my paradigmatic coordination process, and with the abstract idea of an ACS in hand, let me return to the immediate application. As I indicated, one of the benefits that I hope to extract from a study of this form of emergent coordination, taking in its process and its result, is to clarify the problem of SAP propositions in scientific reasoning, and thus to derive a measure of insight into the forms of sapience that depend on them. Unless the ostensibly fruitful nature of SAP propositions evaporates into thin air with their exposure to the heat of reflection and unless their status as advertised entirely boils away with the resolution of their problematic features, then their analysis can help to rationalize the role of SAP propositions in scientific knowledge, as they arise through inquiry, as they enter into one's compendia of belief or knowledge, and as they contribute to the skills whereby one builds an overall grasp of truth.

I think that the sequence of experiential realizations that I depicted in my reconstruction of a developing faculty for coordination, no matter whether it is regarded as a process or as a result, not only can account for many of the paradoxical features of SAP truths but also can explain the impressions that typically occur in the process of achieving them. First, it explains why the full recognition of the supposedly a priori status does not occur until after the synthetic step is finished, that is, until after the separate analytic perspectives are integrated and after the object domain is reconstituted under their freshly combined views. Further, it explains why this wholly reconstructive and retrospective vision, but one that constitutes a newly coherent mode of perception and a slightly elevated perspective, then appears to look on what was never anything but a pre-established domain. Finally, it explains why the appearance or the apparition of anything non analytic contributing to the mix, the very impression that there were ever any truths beyond the manifestly deductive variety, momentarily fades out of sight in the evanescent manner of a transient illusion, at least, until the need of some exigency calls once again for the power of a synthetic capacity.

In any case, the effects that one typically experiences in going through these steps of coordination and in bringing about the instrumentality of the corresponding ACS are remarkably similar in many of their most puzzling features to those that are involved in the experiential process and the moment of realization that one comes to expect in the discovery of what is commonly called an item of synthetic a priori knowledge.

It is at this point that one is forced to distinguish the order of being from the order of knowing, and once again, within the order of knowing to distinguish the order of discovery from the order of justification. If a recursive analysis leads one only to make explicit an assumption that one has implicitly taken for granted up until that time, then, no matter which way one chooses to proceed from that point, calling that assumption into question or continuing to believe it, the process of explication itself still reflects a measure of progress.

5.2.8. Priorisms of Normative Sciences

Let me start with some questions that continue to puzzle me, in spite of having spent a considerable spell of time pursuing their answers, and not for a lack of listening to the opinions expressed on various sides. I first present these questions as independently of the current context as I possibly can, and then I return to justify their relevance to the present inquiry.

The questions that concern me concern the relationships of identity, necessity, or sufficiency that can be found to hold among three classes of properties or qualities that can be attributed to or possessed by an agent, and conceivably passed from one agent to another. The relevant classes of properties or possessions can be schematized as follows:

Teachings — learnings, lessons, disciplines, doctrines, dogmas, or things that can be taught and learned, transmitted and received.

Understandings — articles of knowledge, items of comprehension, bits of potential wisdom that form the possession of knowledge.

Virtues — aspects of accomplished performance, attainments of demonstrated achievement, qualities of accomplishment, completion, excellence, mastery, maturity, or relative perfection, grits or integrities that form the exercise of art, justice, and wisdom.

The category of teachings, as a whole, can be analyzed and divided into two subcategories:

There are disciplines, which involve elements of action, behavior, conduct, and instrumental practice in their realization, and thus take on a fully evaluative, normative, prescriptive, or procedural character.
There are doctrines, which are properly restricted to realms of attitude, belief, conjecture, knowledge, and speculative theory, and thus take on a purely descriptive, factual, logical, or declarative character.

The category of virtues can be subjected to a parallel analysis, but here it is not so much the domain as a whole that gets divided into two subcategories as that each virtue gets viewed in two alternative lights:

With regard to its qualities of action, execution, and performance.
As it affects its properties of competence, knowledge, and selection.

The reason for this difference in the sense of the analysis that applies to each is that it is one of the better parts of virtue to bring about a synthesis between action and knowledge in the very actuality of the virtue itself.

At this point one arrives at the general question:

What is the logical relation of virtues to teachings?

In particular:

Does one category necesarily imply the other?
Are the categories mutually exclusive?
Do they form independent categories?

Are virtues the species and teachings the genus, or perhaps vice versa? Or do virtues and teachings form domains that are essentially distinct? Whether one is a species of the other or whether the two are essentially different, what are the features that apparently distinguish the one from the other?

Let me begin by assuming a situation that is plausibly general enough, that some virtues can be taught, symbolized as \(V \land T\!\), and that some cannot, symbolized as \(V \land \lnot T\!\). I am not trying to say yet whether both kinds of cases actually occur, but merely wish to consider what follows from the likely alternatives. Then the question as to what distinguishes virtues from teachings has two senses:

Among virtues that are special cases of teachings, \(V \land T\!\), the features that distinguish virtues from teachings are known as specific differences. These qualities serve to mark out virtues for special consideration from amidst the common herd of teachings and tend to distinguish the more exemplary species of virtues from the more inclusive genus of teachings.
Among virtues that transcend the realm of teachings, \(V \land \lnot T\!\), the features that distinguish virtues from teachings are aptly called exclusionary exemptions. These properties place the reach of virtues beyond the grasp of what is attainable through any order of teachings and serve to remove the orbit of virtues a discrete pace from the general run of teachings.

In either case it can always be said, though without contributing anything of substance to the understanding of the problem, that it is their very property of virtuosity or their very quality of excellence that distinguishes the virtues from the teachings, whether this character appears to do nothing but add specificity to what can be actualized through learning alone, or solely through teaching, or whether it requires a nature that transcends the level of what can be achieved through any learning or teaching at all. But this sort of answer only begs the question. The real question is whether this mark is apparent or real, and how it ought to be analyzed and construed.

Assuming a tentative understanding of the categories that I indicated in the above terms, the questions that I am worried about are these:

Did Socrates assert or believe that virtue can be taught, or not?
In symbols, did he assert or believe that \(V \Rightarrow T\!\), or not?
Did he think that:

knowledge is virtue, in the sense that \(U \Rightarrow V\!\)?
virtue is knowledge, in the sense that \(U \Leftarrow V\!\)?
knowledge is virtue, in the sense that \(U \Leftrightarrow V\!\)?

Did he teach or try to teach that knowledge can be taught?
In symbols, did he teach or try to teach that \(U \Rightarrow T\!\)?

My current understanding of the record that is given to us in Plato's Socratic Dialogues can be summarized as follows:

At one point Socrates seems to assume the rule that knowledge can be taught, \(U \Rightarrow T\!\), but simply in order to pursue the case that virtue is knowledge, \(V \Rightarrow U\!\), toward the provisional conclusion that virtue can be taught, \(V \Rightarrow T\!\). This seems straightforward enough, if it were not for the good chance that all of this reasoning is taking place under the logical aegis of an indirect argument, a reduction to absurdity, designed to show just the opposite of what it has assumed for the sake of initiating the argument. The issue is further clouded by the circumstance that the full context of the argument most likely extends over several Dialogues, not all of which survive, and the intended order of which remains in question.

At other points Socrates appears to claim that knowledge and virtue are neither learned nor taught, in the strictest senses of these words, but can only be divined, recollected, or remembered, that is, recalled, recognized, or reconstituted from the original acquaintance that a soul, being immortal, already has with the real idea or the essential form of each thing in itself. Still, this leaves open the possibility that one person can help another to guess a truth or to recall what both of them already share in knowing, as if locked away in one or another partially obscured or temporarily forgotten part of their inmost being. And it is just this freer interpretation of learning and teaching, whereby one agent catalyzes not catechizes another, that a liberal imagination would yet come to call education. Therefore, the real issue at stake, both with regard to the aim and as it comes down to the end of this inquiry, is not so much whether knowledge and virtue can be learned and taught as what kind of education is apt to achieve their actualization in the individual and is fit to maintain their realization in the community.

How are these riddles from the origins of intellectual history, whether one finds them far or near and whether one views it as bright or dim, relevant to the present inquiry? There are a number of reasons why I am paying such close attention to these ancient and apparently distant concerns. The classical question as to what virtues are teachable is resurrected in the modern question, material to the present inquiry, as to what functions are computable, indeed, most strikingly in regard to the formal structures that each question engenders. Along with a related question about the nature of the true philosopher, as one hopes to distinguish it from the most sophisticated imitations, all of which is echoed on the present scene in the guise of Turing's test for a humane intelligence, this body of riddles inspires the corpus of most work in artificial intelligence, if not the cognitive and the computer sciences at large.

Reason alone teaches us to know good and bad. Conscience, which makes us love the former and hate the latter, although independent of reason, cannot therefore be developed without it. Before the age of reason we do good and bad without knowing it, and there is no morality in our actions, although there sometimes is in the sentiment of other's actions which have a relation to us.

Rousseau, Emile, or On Education, [Rou_1, 67].

Aesthetics, ethics, and logic are categorized as normative sciences because they pursue knowledge about the ways that things ought to be, their objects being beauty, justice, and truth, respectively. It is generally appreciated that there are intricate patterns of deep and subtle interrelationships that exist among these subjects, and among their objects, but different people seem to intuit different patterns, perhaps at different times. At least, it seems that they must be seeing different patterns of interrelation from the different ways that they find to enact their insights and intuitions in customs, methods, and practices. In particular, one's conception of science, indeed, one's whole approach to life, is determined by the priorism or the precedence ordering that one senses among these normative subjects and employs to order their normative objects. This Section considers a sample of the choices that people typically make in building up a personal or a cultural priorism of normative sciences (PONS).

For example, on the modern scene, among people trained to sport all of the modern fashions of scientific reasoning, it is almost a reflex of their modern identities to echo in their doctrines, if not always to follow in their disciplines, those ancients who taught that "knowledge is virtue". This means that to know the truth about anything is to know how to act rightly in regard to it, but more yet, to be compelled to act that way. It is usually understood that this maxim posits a relation between the otherwise independent realms of knowledge and action, where knowledge resides in domains of signs and ideas, and where action presides over domains of objects, states of being, and their changes through time. However, it is not so frequently remembered that this connection cuts both ways, causing the evidence of virtue as exercised in practice to reflect on the presumption of knowledge as possessed in theory, where each defect of virtue necessarily reflects a defect of knowledge.

In other words, converting the rule through its contrapositive yields the equivalent proposition "evil is ignorance", making every fault of conduct traceable to a fault of knowledge. Everyone knows the typical objection to this claim, saying that one often knows better than to do a certain thing while going ahead and doing it anyway, but the axiom is meant to be taken as a new definition of knowledge, ruling overall that if one really, really knows better, then one simply does not do it, by virtue of the definition. This sort of reasoning issues in the setting of priorities, putting knowledge before virtue, theory before practice, beauty and justice after truth, or reason itself before rhyme and right.

It is not that reason sees any reason to disparage the just deserts that it places after or intends to diminish the gratifications that it defers. Indeed, it aims to give these latter values a place of honor by placing them more in the direction of its aims, and it thinks that it can take them up in this order without risking a consequential loss of geniality. According to this rationale, it is the first order of business to know what is true, while purely an afterthought to do what is good.

It is not too surprising that reason assigns a priority to itself in its own lists of aims, goods, values, and virtues, but this only renders its bias, its favor, its preference, and its prejudice all the more evident. And since the patent favoritism that reason displays is itself a reason of the most aesthetic kind, it thus knocks itself out of its first place ranking, the ranking that reason assumes for itself in the first place, by dint of the prerogative that it exercises and in view of the category of excuse that it uses, from then on deferring to beauty, to happiness, or to pleasure, and all that is admirable in and of itself, or desired for its own sake. This self-demotion of reason is one of the unintended consequences of its own argumentation, that leads it down the garden path to a self-deprecation. It is an immediate corollary of reason trying to distinguish itself from the other goods, granting to itself an initially arbitrary distinction, and then reflecting on the unjustified presumption of this self-devotion. This condition, that reason suffers and that reason endures, is one that continues through all of the rest of its argumentations, that is, unless it can find a better reason than the one it gives itself to begin, or until such time as it can show that all good reasons are one and the same.

So the maxim "knowlege is virtue", in its modern interpretation, at least, leads to the following results. It makes just action, right behavior, and virtuous conduct not merely one among many practical tests but the only available criterion of knowledge, reason, and truth. Sufficient criterion? If a conceptual rule is the only available test of some property, then it must be an essential criterion of that property. This conceives the essence of knowledge to lie in a conception of action. This maxim can be taken, by way of its contrapositive, as a pragmatic principle, positing a rule to the effect that any defect of virtue reflects a defect of knowledge. This makes truth the sine qua non of justice, right action, or virtuous conduct, that is, it makes reason the without which not of morality. Since virtuous conduct is distinguished as that action which leads to what we call beauty, beatitude, or happiness, by any other name just that which is admirable in and of itself, desired for its own sake, or sought as an end in itself, whether it is only in the conduct itself or in a distinct product that the beauty is held to abide, this makes logic the sublimest art. (Why be logical? Because it pleases me to be logical.)

It depends on what the meaning of the word "is" is.

President William Jefferson Clinton, August ?, 1998.

Of course, there is much that is open to interpretation about the maxim "knowledge is virtue". In particular, does the copula "is" represent a necessary implication (\(\Rightarrow\!\)), a sufficient reduction ("is only", \(\Leftarrow\!\)), or a necessary and sufficient identification (\(\Leftrightarrow\!\))?

5.2.9. Principle of Rational Action

Knowledge systems are just another level within this same hierarchy, another way to describe a system. … The knowledge level abstracts completely from the internal processing and the internal representation. Thus, all that is left is the content of the representations and the goals toward which that content will be used. As a level, it has a medium, namely, knowledge. It has a law of behavior, namely, if the system wants to attain goal G and knows that to do act A will lead to attaining G, then it will do A. This law is a simple form of rationality — that an agent will operate in its own best interests according to what it knows.

Allen Newell, Unified Theories of Cognition, [New, 48–49].

How does this ancient issue, concerning the relation of reason, to action, to the good that is overall desired or intended, transform itself through the medium of intellectual history onto the modern scene? In particular, what bearing does it have on the subjects of artificial intelligence and systems theory, and on the object of the present inquiry? As it turns out, in classical cybernetics and in systems theory, and especially in the parts of AI and cognitive science that have to do with heuristic reasoning, the transformations of the problem have tarried so long in the vicinity of a singular triviality that the original form of the question is nearly unmistakable in every modern version. The transposition of the theme \((\text{Reason}, \text{Action}, \text{Good})\!\) into the mode of \((\text{Intelligence}, \text{Operation}, \text{Goal})\!\) can make for an interesting variation, but it does not alter the given state of accord or discord among its elements and does nothing to turn the lock into its key.

How do these questions bear on the present inquiry? Suppose that one is trying to understand something like an agency of life, a capacity for inquiry, a faculty of intelligence, or a power of learning and reasoning. For starters, something like is a little vague, so let me suggest calling the target class of agencies, capacities, faculties, or powers that most hold my interest here by the name of virtues, thereby invoking as an offstage direction the classical concepts of anima and arete that seem to prompt them all. What all of these virtues have in common is their appearance, whether it strikes one on first impression or only develops in one's appreciation through a continuing acquaintance over time, of transcending or rising infinitely far beyond all of one's attempts to construct them from or reduce them to the sorts of instrumentalities that are much more basic, familiar, mundane, ordinary, simpler, in short, the kinds of abilities that one already understands well enough and is granted to have well under one's command or control. For convenience, I dub this class of abilities, that a particular agent has a thorough understanding of and a complete competency in, as the resources of that agent.

The language of virtues and resources gives me a way to express the main problem of this inquiry, indeed, the overriding challenge that is engaged in every round of effective analysis and functional modeling. I emphasized the apparent transcendence of virtues because the hope is often precisely that this appearance will turn out to be false, not that the virtue is false in any of the properties that it seems to have, but that the awesome aspect of its unapproachability can be diminished, and that a way opens up to acquire this virtue by means of the kinds of gradual steps that are available to a fallible and a finite agent.

If I had my own choice in the matter I would proceed by using the words knowledge and understanding as synonyms, deploying them in ways that make them refer to one and the same resource, roughly corresponding the Greek episteme, and thus guaranteeing that the faculty they denote is teachable. But others use these terms in ways that make one or the other of them suggest a transcendental aptitude more akin to wisdom, and thus amounting to a virtue extending in the intellectual direction whose very teachability is open to question. Keeping this variety of senses and understandings in mind, it is advisable to be flexible in one's usage.

Virtue involves, not just knowing what is the case and knowing what can be done in each case, but knowing how to do each thing that can be done, knowing which is the best to do in a given case, and finally, having the willingness to do it.

What are the features that are really at stake in the examination of these admittedly paradigmatic and even parabolic examples? There are two ways that virtues appear to transcend the limitations of effectively finite and empirically rational resources and thus appear to distinguish themselves from teachings and understandings, that is, from the orders of disciplined conduct and doctrinal knowledge that bind themselves too severely to the merely mechanical ritual and the purely rote recitation.

In their qualitative aspect, virtues appear to combine characters of act and will that appear to be lacking in the simple imputations of knowledge alone. In particular, virtues appear to display qualities of persistent action, efficient volition, the will to actually do the right thing, and the willingness to keep on doing the right thing on each occasion that arises. Thus, virtues appear to possess a live performance value that is not guaranteed by simply knowing the right thing to do and to say, indeed, they appear to have a unique and irreproducible mix of qualities that goes beyond the facts circumscribed by any name and thus that goes missing from the ordinary interpretation of its meaning.
In their quantitative aspect, virtues appear to be infinitely far beyond the grasp of discrete, finite, and even rational resources.

5.2.10. The Pragmatic Cosmos

This Section outlines the general idea of a priorism of normative sciences (PONS) and it presents the particular PONS that I will refer to as the pragmatic cosmos. This is the precedence ordering for the normative sciences that best accords with the pragmatic approach to inquiry, incidentally framing and introducing the order of normative sciences that I plan to deploy throughout the rest of this work. From this point on, whenever I mention a PONS without further qualification, it will always be one or another version of a pragmatic PONS that I mean to invoke, all the while taking into consideration the circumstance that its underlying theme still leaves a lot of room for variation in the carrying out of its live interpretation.

Roughly speaking, in regard to the forms of human aspiration that are exercised in normative practices and studied in the normative sciences, the study of states or things that satisfy agents is called aesthetics, the study of actions that lead agents toward these goals or these goods is called ethics, and the study of signs that indicate these actions is called logic. Understood this way, logic involves the enumeration and the analysis of signs with regard to their truth, a property that only makes sense in the light of the actions that are indicated and the objects that are desired. In other words, logic evaluates signs with regard to the trustworthiness of the actions that they indicate, and this means with respect to the utility that these indications exhibit in a mediate relationship to their objects. As an appreciative study, logic prizes the properties of signs that allow them to collect the scattered actions of agents into coherent forms of conduct and that permit them to indicate the general courses of conduct that are most likely to lead agents toward their objects.

From this "pragmatic" point of view, logic is a special case of ethics, one that is concerned with the conduct of signs, and ethics is a special case of aesthetics, one that is interested in the good of actual conduct. Another way to approach this perspective is to start with the good of anything and to work back through the maze of actions and indications that lead to it. An action that leads to the good is a good action, and this puts the questions of ethics among the questions of aesthetics, as the ones that contemplate the goods of actions. A sign that indicates a good action, that shows a good way to act, is a good sign, and this puts the domain of logic squarely within the domain of aesthetics. Moreover, thinking is a sign process that moves from signs to interpretant signs, and this makes thinking a special kind of action. In sum, the questions that logic takes up in its critique of good signs and good thinking are properly seen as special cases of aesthetic and ethical considerations.

The circumstance that the domain of logic is set within the domain of ethics, which is further set within the domain of aesthetics, does not keep each realm from rising to such a height in another dimension that each keeps a watch over all of the domains that it is set within. In sum, the image is that of three cylinders standing on their concentric bases, telescopically extending to a succession of heights, with the narrowest the highest and the broadest the lowest, rising to the contemplation of the point that virtually completes their perspective, just as if wholly sheltered by the envelope of the cone that they jointly support, no matter what its ultimate case may be, whether imaginary or real, rational or transcendental.

Logic has a monitory function with respect to ethics and aesthetics, while ethics has a monitory function solely with respect to aesthetics. By way of definition, a monitory function is a duty, a role, or a task that one discipline has to watch over the practice of another discipline, checking the feasibility of its intentions and its proposed operations, evaluating the conformity of its performed operations to its intentions, and, when called for, reforming the faith, the feasance, or the fidelity of its acts in accord with its aims. A definite attitude and particular perspective are prerequisites for an agent to exercise a monitory role with any hope or measure of success. The necessary station arises from the observation that not all things are possible, at least, not at once, and especially that not all ends are achievable by a fallible creature within a finite creation. Accordingly, the agent of a monitory faculty needs to help the agency that is involved in the effort or the endeavor it monitors to observe the due limits of its proper arena, the higher considerations, and the inherent constraints that force a fallible and finite agent to choose among the available truths, acts, and aims.

To recapitulate the pragmatic priorism of normative sciences (PONS):

Logic, ethics, and aesthetics, in that order, cannot succeed in any of their aims, whether they turn to contemplating the natures of the true, the just, and the beautiful, respectively, for their own sakes, whether they turn to speculating on the certificates, the semblances, or the more species tokens of these goods, as they might be utilized toward a divergent conception of their values, or whether they convert from the one forum to the other market, and back again, in an endless series of exchanges, that is, unless their prospective agents possess the initial capital that can only be supplied by competencies at the corresponding intellectual virtues, and until they are willing to risk the stakes of adequately generous overhead investments, on orders that are demanded to fund the performance of the associated practical disciplines, namely, those that are appropriate to the good of signs, the good of acts, and the good of aims in themselves. In sum, the domains and the disciplines of logic, ethics, and aesthetics, in that order, are placed so aptly in regard to one another that each one waits on the order of its watch and each one maintains its own proper monitory function with respect to all of the ones that follow on after it.

Why do things have to be this way? Why is it necessary to impose a PONS, much less a pragmatic PONS, on the array of goods and quests? If everyone who reflects on the issue for a sufficient spell of time seems to agree that the Beautiful, the Just, and the True are one and the same in the End, then why is any PONS necessary? Its necessity is apparently relative to a certain contingency affecting the typical agent, namely, the contingency of being a fallible and finite creature. Perhaps from a God's Eye View (GEV), Beauty, Justice, and Truth all amount to a single Good, the only Good there is. But the imperfect creature is not given this view as its realized actuality and cannot contain its vision within the point of view (POV) that is proper to it. Even if it sees the possibility of this unity, it cannot actualize what it sees at once, at best being driven to work toward its realization measure by measure, and that is only if the agent is capable of reason and reflection at all.

The imperfect agent lives in a world of seeming beauty, seeming justice, and seeming truth. Fortunately, the symmetry of this seeming insipidity can break up in relation to itself, and with the loss of the objective world's equipoise and indifference goes all the equanimity and most of the insouciance of the agent in question. It happens like this: Among the number of apparent goods and amid the manifold of good appearances, one soon discovers that not all seeming goods are alike. Seeming beauty is the most seemly and the least deceptive, since it does not vitiate its own intention in merely seeming to achieve it, and does not destroy what it reaches for in merely seeming to grasp it.

Monitory functions, as a rule, tend to shade off in extreme directions, on the one hand becoming a bit too prescriptive before the act, whether the hopeful effects are hortatory or prohibitory, and on the other hand becoming much too reactionary after the fact, whether the tardy effects are exculpatory or recriminatory. In the midst of these extremes, that is, within the scheme of monitory functions at large, it is possible to distinguish subtler variations in the nuances of their action that work toward the accomplishment the same general purpose, but that achieve it with a form of such gentle urging all throughout the continuing process of gaining a good, that affect a promise of such laudatory rewards, and that afford an array of incidental senses of such ongoing satisfaction, even before, while, and after the aimed for good is effected, that this class of moderate measures is aptly known as advisory functions (AFs).

In the process of noticing what is necessary and what is impossible, and in distinguishing itself from the general run of monitory functions, an AF is able to adapt itself to get a better grip on what is possible, to the point that it is eventually able to make constructive suggestions to the agent that it monitors, and thus to give advice that is both apt and applicable, positive and practical, or usable and useful. If this is beginning to sound familiar, then it is not entirely an accident. As I see it, it is from these very grounds that the facility for abductive simile or the faculty of abductive synthesis (AS) first arises, to wit, just on the horizon of monitory observation and just on the advent of advisory contemplation that an agent of inquiry, learning, and reasoning first acquires the quasi ability to regard one thing just as if it were construed to be another and to consider each thing just inasmuch as it haps to be like another.

In the abode of the monitor I thus discover the first clues I can grasp as to how the abductive bearing (AB) of hypothetical reasoning can be bound together from the primitive elements of the most uncertain states that the mind can ever know. To my way of thinking, this derivation of ABs from the general conduct of monitory duties and the specific ethos of advisory roles, all as pursuant to the PONS, seems to strike a chord with the heart of wonder beating at the core of every agent of inquiry, and accordingly to fashion an answer to the central query, in the words of William Shakespeare: "Where is fancy bred?" Beyond the responsibility to continue driving the cycle of inquiry and to keep on circulating the fresh communication of provisional answers, this form of speculation on the origin of the AB points out at least one way whence these faculties of guessing widely but guessing well can lead me from the conditions of amazement, bewilderment, and consternation that the start of an inquiry all but constantly finds me in.

The anchoring or the inauguration of an abductive bearing (AB) within the operations of an advisory function (AF), and the ensconcement or the installation of this positively constructive advisory, in its turn,within the office of an irreducibly negative monitory function, one that watches over the active, aesthetic, and affective aspects of experience with an eye to the circumstance that not all goods can be actualized at once — this array of inferences from the apical structure of the PONS ought to suffice to remind each agent of inquiry of how it all hinges on the affective values that one feels and the effective acts that one does.

In principle, therefore, logic assumes a purely ancillary role in regard to the ethics of active conduct and the aesthetics of affective values. On balance, however, logic can achieve heights of abstraction, points of perspective, and summits of reflection that are otherwise unavailable to a mind embroiled in the tangle of its continuing actions and immersed in the flow of its current passions. By rising above this plain immersion in the dementias swept out by action and passion, logic can acquire the status of a handle, something an agent can use in its situation to avoid being swept along with the tide of affairs, something that keeps it from being swept up with all that the times press on it to sweep out of mind. By means of this instrument, logic affords the mind an ability to survey the passing scene in ways that it cannot hope to imagine while engaged in the engrossing business of keeping its gnosis to the grindstone, and so it becomes apt to adopt the attitude that it needs in order to become capable of reflecting on its very own actions, affects, and axioms.

5.2.11. Reflective Interpretive Frameworks

Tell me, good Brutus, can you see your face?

No, Cassius, for the eye sees not itself
But by reflection, by some other things.

'Tis just;
And it is very much lamented, Brutus,
That you have no such mirrors as will turn
Your hidden worthiness into your eye,
That you might see your shadow. …

Into what dangers would you lead me, Cassius,
That you would have me seek into myself
For that which is not in me?

Therefor, good Brutus, be prepared to hear.
And since you know you cannot see yourself
So well as by reflection, I, your glass,
Will modestly discover to yourself
That of yourself which you yet know not of.
	Julius Caesar, 1.2.53–72

The rest of this Section (?), continuing the discussion of formalization in terms of concrete examples and extending over the next 50 (?) Subsections (?), details the construction of a reflective interpretive framework (RIF). This is a special type of sign theoretic setting, illustrated in the present case as based on the sign relations A and B, but intended more generally to constitute a fully developed environment of objective and interpretive resources, in the likes of which an inquiry into inquiry can reasonably be expected to find its home.

An inquiry into inquiry necessarily involves itself in various forms of self application and self reference. Even when the inquiree and the inquirer, the operand inquiry and the operant inquiry, are conceived to be separately instituted and disjointly embodied in material activity, they still must share a common form and enjoy a collection of definitive characteristics, or else the use of a common term for both sides of the application is equivocal and hardly justified. But this depiction of an inquiry into inquiry, if it is imagined to be valid, raises a couple of difficult issues, of how a form of activity like inquiry can be said to apply and to refer to itself, and of how a general form of activity can be materialized in concretely different processes, that is, represented in the parametrically diverse instantiations of its own generic principles. Before these problems can be clarified to any degree it is necessary to develop a suitable framework of discussion, along with a requisite array of conceptual tools. This is where the construction of a RIF comes in.

And now the investigation itself is under investigation.

— President Clinton, August 17, 1998

The task of building a RIF is here approached on two fronts, structural and functional. The structural approach looks to the formal constitution of the framework itself, with an eye to the static logical relationships that potentially exist among its objective and its interpretive elements, that is, the abstract relations that can be permitted through the medium of its use to be brought to light, to be recognized on future occasions, and to be signified to a community of observant and interpretive agents. The functional approach looks to the dynamic and effective conduct of a typical reflective interpreter, with an eye to the medium of operational resources that support its activity, and it seeks to discover amid this defrayal the workings of the act of reflection that makes it all possible.

I was, at that time, in Germany, whither the wars, which have not yet finished there, had called me, and as I was returning from the coronation of the Emperor to join the army, the onset of winter held me up in quarters in which, finding no company to distract me, and having, fortunately, no cares or passions to disturb me, I spent the whole day shut up in a room heated by an enclosed stove, where I had complete leisure to meditate on my own thoughts.

— Rene Descartes, Discourse on Method, [Des1, 35]

5.2.11.1. Principals vs. Principals

So it is that these old cities which, originally only villages, have become, through the passage of time, great towns, are usually so badly proportioned in comparison with those orderly towns which an engineer designs at will on some plain that, although the buildings, taken separately, often display as much art as those of the planned towns or even more, nevertheless, seeing how they are placed, with a big one here, a small one there, and how they cause the streets to bend and to be at different levels, one has the impression that they are more the product of chance than that of a human will operating according to reason.

— Rene Descartes, Discourse on Method, [Des1, 35]

Once this much is said and done, one comes to a realization of the fact that a principle, as a point of logic, is not always a principal in the orders of causes, prizes, rights, or times. Even if the word principly, coined to mean in principle, is well formed in principle to serve that purpose, even if it is quickly struck from a readily available syntactic material, strikes true to the types of an adjective or an adverb, easily fills in for a much more cumbersome prepositional phrase, and fills out a formerly empty slot in the language, and even if tenders itself in print as the gentler equal to impress its point, still, it clangs in speech to the point that it is likely to be irrevocably confused with the sound of the already established word principally, and so, by dint of a certain phonological exclusion principle, the expression of its intention in this way is subject to being excised from the language, bowing out in preference to the accidental antecedents that it arrives to find already prevailing on the scene. In sum, an essentially abstract idea can be inhibited from a particular manner of elaboration on what are purely contingent, developmental, evolutionary, and historical grounds.

Here is a problem that vies with the question of the chicken or the egg, asking which of these firsts comes first: the principal or the principle. Without being able to say which first comes to mind, it may be possible to tell, in point of time, which first entered the lists of language or came to express itself in speech, at least, on the assumption that the PEP has import for this case, and that the first item to enter the lexicon blocks the full inflection of the later entry.

From this case of a broken analogy, this example of a missing point of symmetry, or this paradigm of a defective paradigm, in short, from the mere fact that the noun principle fails in its distribution of uses to fill out the available patterns and to become as fully inflected as the noun principal, it is possible to draw a surprising number of lessons:

It happens that accidents of personal, cultural, or evolutionary history can abrade the facility with which one reflects on essences. Accidental properties of one's linguistic and mental constitution can supply the array of means that one has available to approach the most extreme questions, those concerned with original and ultimate meanings. Accidents of history operate to shape and polish, to impair and repair the faculties of reflection, the instruments of language and mind that one uses to reflect on questions of abstract, eternal, formal, ideal, or invariant form, to contemplate general schemes of categories for objects, and to consider matters of fundamental principle. For good or ill, an accumulation of accidents impacts on the character of one's reflection, innately marking or marring the equanimity with which one thinks about the arrays of otherwise indifferent and equally likely alternatives.
A phonological exclusion principle need not apply in syntactic cases or pragmatic situations where interpreters are reliably discerning enough to adequately resolve the textual, verbal, and vocal ambiguities. For instance, it would not matter that the physical signals represented by the words principally and principly fail to be discriminated by the ear of the interpreter if the mind of the interpreter, informed by the practical and the syntactic contexts of their sundry utterances, and guided by the innate sense of what makes sense in each situation, could be relied on to chose the proper interpretation.
This example of a broken analogy or a defective paradigm, and the problem of converting it to instructive uses and positive advantages, brings up the related but more general puzzle that is commonly known as the problem of learning from negative examples. By this is meant, not just being informed by defective or imperfect examples, or learning from examples that are associated with negatively valued consequences, but inducing the laws that apply to a situation from the events that never occur within it.

Returning to the topic of reflection, as approached on the structural and functional fronts …

Progress on the functional or the operational front can be made by taking up once again the informal calculus of applicational operators that I used at the beginning of the current chapter to annotate the analysis of inquiry, by taking further steps toward formalizing this calculus, and by representing the operation of reflection within it. Progress on the structural front can be made by ...

A RIF is intended to formally allow for a specific area of reflection on experience. I want to use reflection as a bona fide form of observation, in the dual sense that one reflects on happenings in the outside world and again on a range of experiences in one's inner world. Moreover, I want to treat reflection as a genuinely empirical form of observation, perfectly capable of making mistakes in the data and the descriptions it provides, but provisionally able to supply the materials that are needed for building up true theories about the reflected domains of experience.

In historical perspective, there is an array of contentious issues that generally arises in this connection to obstruct the carrying out of any such intention. At times the liberty of reflection is simply proscribed as being out of bounds for the aims of empirical and objective science, at least, if it continues to form a source of data and ideas, then the custom is never to credit the source. At times the region of reflection obtrudes so far from within the preserve of a purely private interest to impose on the realm of a properly public concern that little remains to be seen of the world outside, and no room is left over for the forum of concrete reason to proceed in its own right according to its own lights. Since the next subsection, dedicated to the phenomenology of reflection, takes up this host of issues in great detail, a brief discussion of their bearing on the task of building a RIF is all that is needed at this point.

In order to constitute a RIF as an empirical framework, in other words, as a formal apparatus that can serve to facilitate experiential inquiry, it is necessary to rehabilitate the operation of reflection as a genuine form of experiential observation, one that is capable of generating contingent, defeasible, falsifiable, or hypothetical descriptions of what it reflects on, where the field of view for reflection encompasses everything it is given or gains a power to reflect on, including activities in the external world, affective impressions and motivational impulses that arise in the realm of feeling and drives, and the more or less controlled conduct of reflection itself. To do this, it is necessary, in turn, to achieve a resolution of and to reach an understanding on two points:

First, one needs to recognize that empirical necessarily implies experiential and experimental, but that none of these terms is limited of necessity to implying external, at least, not in the sense of an externality that is exclusive of all felt experience.
Finally, one needs to separate the practice of reflection from the herd of incorrigibles it is liable to be confounded with on the modern scene, to sort it out from the "bad company" of its former associates and all their pretensions to (a) immediacy of inference, (b) impeccability of insight, (c) infallibility of introspection, (d) unimpeachability of intuition, and (e) incognizability of reality.

If the reader reflects that I seem to be trying to make reflection out to be a curious sort of hybrid creation, akin on the one side to primitive forms of observation, but akin on the other side to sophisticated forms of contemplation, and that this makes it the main constitutional problem of its temperament to control its own hubris in such a way that it can keep itself from weening over to excessive degrees in either direction, then the reader reflects correctly. If reflection keeps to this middle course, then, whatever its natural disposition or original inclination might be, it can still enjoy the effective qualities and formal virtues that belong to both realms of experience, mediating between the real and the rational, and joining the sensory to the intellectual.

A historical perspective also shows that the task of arrogating modest powers to reflection without reaching over into insupportable realms of imagination is apparently a difficult balancing act for the human mind to maintain. For reasons that will soon become obvious, I find it useful to describe this as the cartesian polarity problem.

Whereas other operations of mental life have to be forced to the point of examining their own conduct, even tricked into it, it is almost the reflex of reflection to reflect once again on its own action, at least, to reflect on whatever array of intermediate insights or whatever sample of partial results it finds itself able to pin down in memorable signs and texts. And yet, aside from the statement of this vacuity, it seems pointless for reflection to personify itself, often to the point of impersonating itself, and difficult for it to find anything interesting to say, without bringing in something else, some other matter to reflect on. Thus, I do not want to fall into the narcissistic trap of thinking that internal reflection, or introspection, is the only source of knowledge that is certain and true, but neither do I want to vanish in the echoistic dissipation of clinging to external reflection, or reflectances, as the only source of inspiration.

5.2.11.2. The Initial Description of Inquiry

In order to form a more cogent sense of the direction I must take from this point on, I need to make a concise review of the questions that have been raised and the assumptions that have been laid down so far. I can begin this review with the question of the Criterion, and after developing a critical theme that connects it with its antecedent topics, work backward to the questions of the Problem and the Method.

Under the question of a Criterion (§ 1.1.3) a critical assumption was taken to serve as a guiding hypothesis for this inquiry and to provide a tentative model for its conduct:

According to my current understanding of inquiry, and the tentative model of inquiry that will guide this project, the criterion of an inquiry's competence is how well it succeeds in reducing the uncertainty of its agent about its object. (§ 1.1.3).

It is time to examine this hypothesis a bit more carefully, to review the bearing it has on inquiry and the role it has in an inquiry into inquiry. In this regard, the guiding model elected here needs to be interrogated under the twin lights of how it can apply to inquiry in general while it continues to ply itself fully subject to a specific inquiry into inquiry. In its most general implications, the question is: How can any principle profess to master all inquiry whatsoever, and how can the use of such a rule pretend to serve any inquiry at all, at least, so long it waits on the outcome of its own examination and has to operate under a cloud of suspicion that is pursuant to a particular inquiry into inquiry?

To me it seems intuitively certain (IC) that the purpose of inquiry is to reduce the uncertainty of its agent about its object, and that it does this by increasing the clarity of the signs that the agent possesses with respect to the object. For future reference, let me detach the predicate of this observation and refer to it as the initial description (ID) of inquiry.

ID. The purpose of an inquiry is to reduce the uncertainty of its agent about its object, and it does this by increasing the clarity of the signs that the agent possesses with respect to the object.

This ID depicts inquiry in general in terms of its object in general and it allows for more specific inquiries to have more particular objects. And yet, as if by a manner of reflective reflex, no sooner do I express this insight in the form of an intuitively certain hypothesis (ICH) than I begin to suspect it, to have doubts about the certainty of its truth, and to worry about the clarity of its expression.

On reflection, the ID of inquiry, for all the quality of an ICH that once affected it, at least enough to make me identify with it, starts to find itself in another light, much less IC and much more H, and it begins to appear to me as a nearly indifferent object of contemplation, something else to think about, nothing more. The text of its expression, that I took the time to weave its carefully picked signs into, presents itself to my view as an alien object, composed of almost senseless characters, as if designed to ensnare my mind in a medium of false images rather than to liberate my thinking by means of a clear and distinct truth.

This array of doubts, suspicions, and worries is not so much due to the ID of inquiry itself, that I continue to maintain my sympathies with and to preserve my own recognizance of, as it is on account of and for the sake of the other notions that it raises, whose certainty and clarity it cannot rise above, or so it seems. In other words, whatever certainty and clarity may be, it seems sure that the certainty and the clarity of the ID of inquiry cannot be greater than the certainty and the clarity, respectively, of the notions of agency, certainty, clarity, objectivity, and significance that the ID of inquiry invokes, involves, and implicates. But how do I know this, and, indeed, do I really know this?

But, like a man who walks alone, and in the dark, I resolved to go so slowly, and to use such caution in all things that, even if I went forward only very little, I would at least avoid falling.

— Rene Descartes, Discourse on Method, [Des1, 39]

If the ID of inquiry marks a step that I plan to take in an inquiry into inquiry, then I need to raise the following questions about it. How can I tell if it is a step in the right direction? Expressed in other ways: How can I test the utility of this step with the information that I find available to me at my present state of knowledge, or within reach of it? How can I come to know, short of rashly staking my whole enterprise on its trustworthiness, whether it establishes a foothold on a viable path, not just marking a point on a feasible path of investigation, but lying a discrete and reasonable distance in the direction of its goal, and thus being capable of leading toward a state that is ultimately certain (UC) as to what it represents about inquiry?

If all the themes are aptly initialized, then the end of inquiry is met when a condition of equanimity, balance, or harmony is achieved between the facts IC and the facts UC, in other words, when everyone sees the point that each one is trying to make and when everyone understands the line that each one is meant to get across.

If the simple entertainment of a simple hypothesis is enough to change the course of an inquiry in an irremediable, irreversible, or irrevocable way, and in a manner that makes a pragmatically significant difference to the outcome, then all hope is lost of discovering a robust method or developing a self corrective procedure for inquiry, and thus of giving to inquiry an adaptive and evolving form. This means that inquiry is not a feasible endeavor for agents of a fallible sort unless they are capable of taking up a flexible attitude and maintaining the following sorts of stance:

To contemplate a diversity of hypotheses with a reasonable measure of immunity against their actual effects, that is, while remaining moderately well insulated from the consequences these hypotheses would have in execution.
To entertain a wildly incorrect but still corrigible guess with a respectable level of impunity, that is, while preserving the overall ideals of a reparable harmony in their own systems of belief and while operating without loss of ultimate geniality in the community of inquiry at large. Still, it is best not to play on forms of dissonance that do not come tempered with at least an idea of how to atone for themselves in time.

Imagine that an agent begins in a state of almost complete ignorance or near total uncertainty about inquiry, such as might be associated with the mere possession of the name inquiry or reflected by an encounter with another type of nominal pointer to the topic of inquiry in general. Against this background of original sinescience and relative to this condition of initial innocence, the ID of inquiry does indeed appear to give an impression of saying something more definite about inquiry, and thus it does seem to increase the agent's knowledge in some measure, whether in certainty, clarity, or distinctness I cannot say for sure at this point. But how can an agent tell if this appearance is real?

How can I address the array of questions "How?" that I raise as I reflect on the ID of inquiry? The only response I can think of that answers the arraignment of all these challenges is simply to continue with the inquiry itself. The ID of inquiry has something to say about the how of inquiry, expressing its suggestions in terms of the phrase that concerns itself with "increasing the clarity of the signs that the agent possesses with respect to the object". But the implicit charge of this ID, to "clarify the signs that the agent has of the object", is not entirely unambiguous in and of itself, and until it can be rendered free of ambivalence in its own right it is difficult to entertain an effective action on its behalf. On further reflection, it becomes apparent that the charge to clarify signs contains the potential of being interpreted in at least two ways, and thus, for the purposes of effective action, requires a further clarification. Consequently, toward the end of action on the charge yet another inquiry and yet another clarification, this time concerning the character of the charge itself, becomes due.

In accord with this analysis of inquiry as a process of clarification, and of clarification in turn as a process that operates on sign relations, the next few paragraphs consider various interpretations of the clarification task, initiating the process of comparing and contrasting their elements, and ultimately seeking to classify their variety. This discussion notices one general feature that all types of clarification process appear to have in common and it discerns another general feature that splits the genus of clarification processes into a couple of broad moieties or species.

Inquiry, considered as a process of clarification, is the chief way that a sign relation can grow and develop in service to the life of its agent. If not assured as the principal way, at least, while the jurisdictions of automatic adaptation, oblique evolution, and random ramification are yet uncharted and unassessed, it is probably still the most principled way that sign relations have of adapting and evolving to meet the objectives of interpretive agents in their given environments of needs and objects. By way of a general comparison, then, all reasonable interpretations of the clarification task involve the augmentation of sign relations by the addition of elementary sign relations, that is, ordered triples of the form \((o, s, i).\!\)

Treating the process of clarification as one that affects the growth and development of a sign relation, even if constrained to the medium of its syntactic domain, there is, of course, an overwhelming diversity of ways that one can imagine an arbitrary sign relation as growing through time. No matter whether it restrains its labors to the monotonic annexation of ever more triples \((o, s, i)\!\) to the masses of data already accumulated or whether it liberates the full deliberations of a discursive process, thus invoking the ebb and flow of corrective, editorial, reflective, remedial, and reversible processes, not every mode of growth or development that can occur in a sign relation has a bearing on reducing the uncertainty of an agent about an object or has the effect of promoting the clarity of the given signs.

With regard to inquiry as clarification, and clarification in turn as the evolution of a sign relation, it does not matter whether one views it as a process of exploration and discovery, taking place in a preconceived cartesian space \(O \times S \times I\!\) and seeking to find clearer signs for each known object, or whether one views it as a process of creation and invention, staking out the syntactic parts of elementary sign relations \((o, s, i),\!\) following the directions of transient clarity to the signs of maximal achievable clarity, making and testing novel combinations with an eye toward present objects, and picking out the clearest indications for inclusion in one's current sign relation.

To review: Inquiry depends on clarification, and clarification depends on the augmentation or the evolution of sign relations in various ways. In order to stay within the realms of possibility that are accessible to computational processes and covered by computational models, it is best to look for varieties of clarification process that are tantamount to recursive forms of development in sign relations, those that one can contemplate being carried out by a recursively defined growth process. Even working under these constraints, there is still an amazingly large variety of different ways that the eking out of initial sign relations and the imping out of fledgling sign relations can proceed.

To expand: Inquiry depends on clarification, and clarification depends on the augmentation or the evolution of sign relations in directions that serve the interests and help to achieve the intentions of their agents. If this is true then it must be possible to say something about the ways that sign relations figure into the interests and intentions of agents. In this connection, the desire to relate sign relations to the objectives of interpretive agents touches on the topics of what are normally called the normative sciences, namely: aesthetics, ethics, and logic. Since the style of pragmatic thought that I am using puts a distinctive twist on the way that these three disciplines are regarded in relation to each other, it is necessary for me to attach a slight gloss on this point. Along the way, related concerns about the topic of "justification" make a natural appearance, and this allows me to set down some initial thoughts about the forms of justification (FOJs) that I contemplate using in this work.

5.2.11.3. An Early Description of Interpretation

Insofar as the analysis of etymological and other associations existing among familiar and other words can lead up in time to a proper analysis of the underlying concepts involved, the discussion just given can be taken in the spirit with which it is offered, as a body of suggestions about the derivation of an abductive faculty from an advisory function. But insofar as the sole themes that exhibit any novelty about them are easy to lose in the cacophony of verbal clutter that frequently ensues, it may be advisable, one last time, in as summary a refrain as possible, to recapitulate the chief points of originality to which this work gives fanfare. The originality I advert to appears to arise from Aristotle:

Words spoken are symbols or signs (symbola) of affections or impressions (pathemata) of the soul (psyche); written words are the signs of words spoken. As writing, so also is speech not the same for all races of men. But the mental affections themselves, of which these words are primarily signs (semeia), are the same for the whole of mankind, as are also the objects (pragmata) of which those affections are representations or likenesses, images, copies (homoiomata).

(Aristotle, On Interpretation, i.16^a4–9, p. 115)

Of all the early intimations of the sign relation that have come down to the present time, this depiction is the clearest and the fullest, in the level and the lucidity of the details that it articulates, of any I know. There will be ample occasion to return to its ideas on a recurring basis throughout the rest of this work. For the moment, there are especially a couple of themes, traceable to this locus and running through its text, that I want to draw out and to emphasize, not only for the message that they convey for the sake of the immediate inquiry, but for their manner of bearing it into the current context of applications.

The assumptions and implications of Aristotle's account that are relevant here are first listed briefly, after which all of the points in turn are explored in full detail.

Assumptions of constancy
Compound of fractures
Cognitive coin/currency/ideas are derivative in relation to affective basis/realm/ideas
Concrete material presented by emotions: affects and motives

On Aristotle's account, there is a special path of relationship that can be traced in either direction between the pragmatic objects (pragmata) that attract, concern, or interest the mind and the symbolic signs that the mind exploits to express its feelings or its thoughts, and this route passes through the pathemata, literally, the affects that these objects impress on the mind (psyche). Picturesquely, the image overall is that of a coin, which is cast, minted, or stamped in a die, mold, or template and then split into fragments that serve as tokens of mutual recognition if and when they are ever again caused “to be cast or thrust together” (symballein). Aside from the nuance that distinguishes artificial and cultural symbols (symbola) from biological and natural signs (semeia), the signs that mediate peoples' cognitive processes can be seen to arise as fragments of likenesses of their objects. And so it is appropriate to dub this picture of sign relations as the iconoclastic theory of signs.

A reasonably useful correspondence is formed between the sign relations of Aristotle and Peirce, respectively, by fashioning the following rough linkages:

Associate the categories of objects in both accounts.
Collapse for the moment the distinction between signs spoken and signs written and put them together in association with a maximally generic class of signs.
Incorporate pathemata as a particular species of mental conditions, determinations, or entities, that is, as a special class of modes of bearing and modes of being affecting the mind, and put them in association with a special class of interpretant signs.

It is only the last part of this likely correspondence that leads to much difficulty and requires a closer examination to untangle its complexities. In accord with the lines of its suggestion affections and impressions are brought together and given their places within a maximally generic class of affective states, cognitive conditions, conceptual formations, ideal forms, motive dispositions, potentially existent states of mind, and virtually existent things in mind. Under these and other terms, a catch-all category is formed that ranges through the entire panorama of mental dispositions and mental entities, encompassing the full spectrum of determinations in the medium of the mind, all of which, for maximum convenience and generality can be referred to most simply as ideas. Granted this endowment of ideas, the suggestion is made to associate all of these ideas, at least, for the purposes of a formal treatment, with the pragmatic domain of interpretant signs.

This recasting of Aristotle's model of interpretation into the molds of Peirce's theory of sign relations, given that the former retains a body of concrete material that the latter casts off from its abstract forms, barely roughs out an interpretation of the theory in terms of the model. And yet this interpretation is still a bit forced in the character of its suggested associations, and it still faces a number of objections to the likelihood of its truth, its utility, or its other potential virtues ever becoming actualized. These objections indicate a daunting array of more obscure obstacles that line up behind and loom into the distance beyond the one or two more obstinate obstructions that make themselves obvious at present, all of which inveigh, inveigle, and weigh against carrying through the completion of a viable work along the lines projected.

Many of the problems with this trial interpretation, in it stands in its currently tentative state of development, can be traced to the fact that I have not fully disentangled the formal and the material aspects of the category of pathemata, or else, I have not distinguished the properties they display by virtue of their roles in a relation from the properties they exhibit by virtue of their inherent natures. Indeed, as the issue now appears to me on reflection, I have not examined thoroughly enough the relation between the two distinctions I just supposed, that between form and matter, and that between relation and essence, nor even asked how and whether any such distinctions can be made on a reliable basis.

One of the things that one means by matter is the mass of instances that one uses to illustrate a common form. In this sense of the terms, the distinction between form and matter has been implicitly relevant to this work, if not especially salient within it, ever since it entered on the course of discussing the process and the product of formalization in terms of a selection of concrete examples. One of the reasons that one chooses to present a formal subject in the medium of its own materials, that is, by means of examples, is that this very form is not yet grasped abstractly enough, that is, by means of clear and distinctive definitions. This choice can be due to the presence of difficulties and obstructions, on the part of the presenter or the presentee, that stand in the way of a more comprehensive form of understanding being achieved all at once.

In the light of these considerations, one can see that this discussion has stayed immersed in the matter of its topic for quite some time now. Indeed, it is fair to describe the current trajectory of this inquiry as “a matter in search of its form”. A distinction between form and matter, if it matters to anyone, is not already finished, but yet to be formed. And yet, no sooner does it form itself in a particular way than it seems, at least with regard to itself, that it was always meant to be that way. And so one encounters a form of distinction that evolves in coincidence with a form of life, taking the essence of its own formation to be a kind of synthetic a priori. Several factors now conspire to make the relevance of this distinction become more acute at this point.

The whole class of affections, cognitions, dispositions, impressions, and motivations of the mind that I include in the category of ideas is the smallest collection I can form that remains connected in its associations, that is, as a class of signs whose interpretations lead in and to itself. But giving this host of ideas a fixed and a simple name, no matter how well it means to unify the manifold of impressions under a simple term, and no matter how well it manages to organize the array of associations under a specious concept of unity, does nothing to dispel the blooming complexity, the boiling diversity, the booming heterogeneity, and the bubbling incongruity of the ideas themselves, which seem to spite every attempt to incorporate their livelier qualities and to regulate their ongoing varieties in the almost purely nominal forms of integrity that mere words can provide.

A purely formal study of sign relations could proceed unhindered from this point, at least, unencumbered by the material aspects of its subject, if only it had a clear definition of what a sign relation is meant to be. And yet, from a purely formal perspective, almost any axioms are worth pursuing, as long as they pick out an interesting class of formal objects and even so long as they manifest a certain elegance in their own right.

It is frequently claimed that the virtues of elegance and interest are qualities that abstract axioms and formal objects can possess quite independently of their anchorage in, bearing on, connection to, or any other crassly pragmatic relationship with a ground, such as might be constituted by an additional application to a concrete subject or by an extraneous utility in a practical matter. I am tempted to agree, though I suspect that there are further difficulties and greater paradoxes still hiding within the word independently. In any case, if the axioms that one selects to characterize sign relations are intended to have empirical applications, objective justifications, and practical motivations, to be justified by reasons that go beyond the contemplation of abstract forms for their own sakes, to be motivated by purposes that reach beyond the purer forms of aesthetic enjoyment, the self justifying and self seeking forms of entertainment, exercise, experiment, and exploration, or the riskier forms of speculation against the chances of their future utility, and until the essential features of a general definition can be grasped, it will be necessary to preserve the data of their material occurrences for whatever insight it can afford into the qualities that determine the worth of signs, and it will be prudent to continue mining the material evidence for exemplary instances of their actual use.

Before this discussion can proceed much further, there are a couple of seeming distinctions that I find myself in need of trying to make real, or otherwise of knowing the reason why they cannot be made in reality. There are reasons why I emphasize the seeming and trying aspects of this situation:

It is not entirely clear to me whether these apparent distinctions, as commonly described and as usually intended, are capable of being maintained in reality, as opposed to what little significance they have while posed on the grounds of mere imagination.
Even if the corresponding forms of distinction are capable of being established in a clear, a proper, and a successful manner, it remains an open question to me at this point how this ought to be done in practice, and the experiences I have had in previous attempts lead me to believe that each of these tasks is far more difficult than it appears at first.

In the process of carrying out this inquiry I find it necessary to make a type of rhetorical transition that can be cast in the stereotyped form: “In the process of doing x I find it necessary to do y.”

5.2.11.4. Descriptions of the Mind

In the process of interpreting Aristotle's text on interpretation as an early account of sign relations, I invoked a number of distinctions that appeared to be called for to guide the interpretation of the text and to form what I sense to be the most reasonable interpretation of its terms. All of these distinctions are drawn from common practice and are usually assumed to be easy to make in any case. And yet, on reflection, I find that I have little or no faith in their advertised properties or in my right to take them for granted.

For instance, consider the distinction between form and matter. When I reflect on the question of how and whether I can make this distinction, I find myself hard pressed to tell whether the distinction itself is a formal distinction, a material distinction, or something else entirely. Trying to pin it down between the first two cases, it seems to be either, or both, and yet neither, depending on the light that I choose to throw on the question, to consider the alternatives by, and to interrogate the usual answers under. If it is either, then the significance of the other is diminished to nothing, as all that the opposite side of the divide can amount to is sliced away by a gradual slippage down the apposite slope, until the significance of the entire distinction appears but to disappear. If it is both, then it violates the exclusiveness that is usually assumed to hold between the two sides of the distinction. If it is neither, then it invalidates the exhaustiveness that is usually assumed to apply to the distinction between form and matter. Whatever the case, I am called on to assume something unusual. Indeed, it seems I am forced to recognize a tertium quid or a third something, in other words, an option that can supply a novel alternative to the choice between form and matter, a category that the Greeks only hint at obscurely or obliquely allude to under the name of an entelechy, and something that I can well nigh call the interpretive case.

By way of guidance in this innovation, or this novel effort to capture interpretation in and of itself, I adduce two texts that help to show the way that the relationship between form and matter has often been seen.

The first text illustrates the use of this distinction in the context of a psychological investigation.

We describe one class of existing things as substance (ousia); and this we subdivide into three: (1) matter (hyle), which in itself is not an individual thing; (2) shape (morphe) or form (eidos), in virtue of which individuality is directly attributed; and (3) the compound of the two.

Matter is potentiality (dynamis), while form is realization or actuality (entelecheia), and the word actuality is used in two senses, illustrated by the possession of knowledge (episteme) and the exercise of it (theorein).

Bodies seem to be pre-eminently substances, and most particularly those which are of natural origin; for these are the sources from which the rest are derived.

But of natural bodies some have life and some have not; by life we mean the capacity for self sustenance, growth, and decay. Every natural body, then, which possesses life must be substance, and substance of the compound type.

But since it is a body of a definite kind, viz., having life, the body cannot be soul, for the body is not something predicated of a subject, but rather is itself to be regarded as a subject, i.e., as matter.

So the soul (psyche) must be substance (ousia') in the sense of being the form (eidos) of a natural body (soma), which potentially (dynamei) has life. And substance in this sense is actuality (entelecheia).

Aristotle, De Anima, II.i.412^a6–412^a22

The soul, then, is the actuality of the kind of body we have just described. But actuality has two senses, analogous to the possession of knowledge and the exercise of it.

Clearly actuality in our present sense is analogous to the possession of knowledge; for both sleep and waking depend upon the presence of soul, and waking is analogous to the exercise of knowledge, sleep to its possession but not its exercise.

Now in one and the same person the possession of knowledge comes first. The soul may therefore be defined as the first actuality of a natural body potentially possessing life; …

So one need no more ask whether body and soul are one than whether the wax and the impression it receives are one, or in general whether the matter of each thing is the same as that of which it is the matter; for admitting that the terms unity and being are used in many senses, the paramount sense is that of actuality.

We have, then, given a general definition of what the soul is: it is substance in the sense of a formula; i.e., the essence of such and such a body [a natural body potentially possessing life].

Suppose that an implement, e.g., an axe, were a natural body; the substance of the axe would be that which makes it an axe, and this would be its soul; suppose this removed, and it would no longer be an axe, except equivocally. …

If the eye were a living creature, its soul would be its vision; for this is the substance in the sense of formula of the eye. But the eye is the matter of vision, and if vision fails there is no eye, except in an equivocal sense, as for instance a stone or painted eye. …

The waking state is actuality in the same sense as the cutting of the axe or the seeing of the eye, while the soul is actuality in the same sense as the faculty of the eye for seeing, or of the implement for doing its work. …

It is also uncertain whether the soul as an actuality bears the same relation to the body as the sailor to the ship.

Aristotle, De Anima, II.i.412^a22–413^a9

The second text illustrates the use of an analogous distinction between form and matter within the context of a logical investigation.

And how can one know the certainty of demonstrations except by examining the argument in detail, the form and the matter, in order to see if the form is good, and then if each premiss is either admitted or proved by another argument of like force, until one is able to make do with admitted premisses alone?

Leibniz, Theodicy, [Leib, 89]

Take once again the distinction between form and matter, and allow me to say that this distinction is interpretive in character or nature. This gives me the option of saying that it is formal in some cases but material in other cases. It can all depend on choice and circumstance. If I interpret it as formal then certain things follow. If I interpret it as material then other things follow. But I can rest with calling it interpretive, leaving it to the moment to actualize what is most fitting. If I interpret it as interpretive, which amounts to a way of holding any further decision in suspense, then I am choosing to remain all the while constantly aware of the circumstances and the conditions that affect the actualization of this distinction as either form or matter, or else to experience the consequences of failing to do so.

But then, on marking any distinction, a moment's reflection brings me to ask: “Who or what makes this distinction that I mark?” And whether I say that it is I, or you, or whoever else agrees in marking it with us, whose activity constitutes the making of this distinction, or whether I think it is someone other or something else that makes this distinction that all of us merely mark and remark, and whether it is decided in the end that the maker is always coincident or sometimes distinct in regard to the marker, then I find myself still having to ask: “How and why is this distinction being marked, in particular, what side or sides, with respect to each other, are its maker and its marker on?”

For these reasons, it is necessary to use an indirect strategy in order to approach the questions of these distinctions that I want to consider. The ostensible distinctions are first described in very rough terms and introduced in the ways that they are naturally and usually thought of. Thus, without taking for granted the clarity, fidelity, sensibility, or validity of their formulations, the distinctions are initially presented in the terms by which they are commonly indicated, intended, suggested, or regarded as being established. This manner of approach is demanded in order to keep from assuming, if at all possible, the prior worth of the very formulations that are being examined and tested, and it tries to make it a separate question whether these intentions to distinguish can continue to be maintained in the very same terms and formulations. Once this preliminary investigation is carried through to a conclusion, positive or negative, I can then return to analyze more carefully and more generally the whole process of making such distinctions.

The rough idea of one distinction is to sort the properties of things into two categories: the “properties that things have” versus the “properties that things are given”. More specifically, and in reference to a typical agent, the former class is intended to include the properties that things have, in and of themselves, independently of any agent, whereas the latter class is intended to include the properties that things are given by an agent. Now, it is clear that the common usage of words like have and give leaves a wide range of ambiguity still remaining that needs to be resolved by the right interpretation. (essential vs imputed properties)
The rough idea of another distinction is to sort signs and ideas, no matter whether they are considered severally or together, into two categories: “signs and ideas as they actually occur” versus “signs and ideas in an abstract vacuum”. More specifically, and with reference to a particular class, community, or population of interpretive agents, the former category is intended to include signs and ideas as they actually occur among these agents, for example, as actualized, embodied, implemented, operationalized, or realized, whether consciously or not, among human beings, whereas the latter category leaves unanswered the question of embodiment and is therefore open to any suggestion as to how these signs and these ideas are intended to be conceived. (empirical and material vs theoretical and formal signs and ideas)

[Alternative text?] The form of distinction that I need at this point tagging “signs and ideas as they actually occur”, for example, as actualized, embodied, and realized, whether consciously or not, in human beings, and leaving “signs and ideas in a vacuum” untagged by any special mark.

Suppose I need to draw a distinction, that marks out a special dominion from its more general domain, but I want to be careful to emphasize the inclusion of the species within the genus, as much as their separation. So let me paint the distinction this way, that it overlays a distinctive tincture on the species but not on the genus, and thus it highlights the special dominion as it resides within the grounds of its generic domain. Given this special form of distinction, it deserves to be given a name. It is fitting to describe it as a partial functional distinction (PFD), by way of recognizing the partial function that assigns a special value to the species, but not necessarily any value to the rest of the genus. A better nickname, more compact than the verbose description and more mnemonic than the acronym, is served by coining the term distincture. In this context, let the species that is distinguished by a particular distincture be referred to as the content of that distincture, and let the remains of the genus be referred to as the discontent or even as the distent of that distincture. Notice that a distinction, as it is ordinarily understood, has at least two distinctures associated with it, where each especially values what the other does not necessarily value, and where the content of either one is the discontent of the other one. It should also be noted that I have not said anything yet about these partial functions being computable, only that they are conceivable.

I use the terms figure, ground, and [?] to indicate the species, the remains, and the genus, respectively, of a PFD or distincture. Notice that the figure and the ground are not treated symmetrically, but that each element of the figure is given an extra feature, a mark of attention or a tincture of distinction, that it does not have before the distinction is made, even if it is nothing more than a recognition or a representation, explicitly given by an agent to an element, of a feature that the element already possesses. Notice the asymmetry that occurs between the treatment of the figure and the treatment of the ground. Given this special form of distinction, and appreciating this asymmetry, …

There are several ways of studying sign relations that avoid the realm of affects and motives, at least, they seem to get around it for a while, thereby obviating the problems of delving into this refractory material. A purely combinatorial approach …

It seems to me that every impression has something in the way of an impulse about it, in other words, that every affective condition is analogous, equivalent, or identical in some sense to a motive disposition. For this reason, I comprehend the category of pathemata to comprise a generic class of double duty ideas that one is free to interpret in either a passive or an active sense, in short, as affects or motives, respectively. To sum up the understanding of these terms that I reach at this point: The category of pathemata, encompassing both affective impressions and motive impulses, can be treated as a species of ideas. Ideas constitute a genus of mental conditions, dispositions, or entities that are theoretically tantamount to mental signs. Whereas ideas can be understood as signs in the mind, it is perhaps best to regard them as signs of the mind, or even as the mind in signs, that is, as all the ways that the mind conducts itself and continues to live in signs.

Affects and motives, by way of giving them a conventional placement in the larger class of ideas that inhabit the mind of a particular agent, can be seen as belonging somewhat closer to the body of their agent, since they are especially concerned with maintaining the health and the life of that body, and they preserve an interest in the viability, the vitality, and the overall well being of the particular agent concerned. Accordingly, whatever else the signs called pathemata are about, they are partly about the body of functions and structures that are required to maintain their agent in a viable form. No matter what other objects their signals of conditions and their suggestions of actions may have, they are partially intended to serve a particular form of materially constituted agent and to help it preserve its own accustomed nature.

To form a better sense of how affects and motives fit within the category of ideas, or mental signs, and of how they can be located within a suitable domain of interpretant signs, I give these pathemata the somewhat arbitrary collective name of motives or themes (MOTs), intended to suggest little more than the common coin of emotions and motivations, and then I quickly divide this overly bulky, burdensome, and burgeoning class of meanings into three subdomains:

The ostensibly ultimate interpretants (OUIs) comprise whatever aspects of affirmative and definite sense are available to these MOTs. They constitute the ultimate meanings that appear to be achievable and affirmable at a given moment in the development of an interpreter or in the evolution of an interpretation. At any given time, they seem to be the ultimate interpretants that all properly directed mental processes are tending toward, and yet none of this stands in the way of diverse interpretants being taken as the ultimate achievables at other times.
The almost never objective notions (ANONs)
The never objective notions (NONs)

Talk of mental impressions, whether taken literally, as being the forms that objects are imagined to impress on the mind, or taken figuratively, as bearing the information that objects are recognized to transfer into the medium afforded by the mind, is frequently criticized as a metaphor that leads to many false, misleading, specious, or spurious impressions. For instance, the very idea of a mental impression is often censured on the grounds that it promotes an offshoot of illegitimate instructivist notions, themselves the outgrowth of commonly discredited essentialist doctrines, teaching something to the effect that objects have the power to “instruct” the mind about their essential natures or true properties, thereby directly, literally, and materially imbuing, informing, infusing, and “instructuring” the mind, not just about their actual characters, but fully in their ideal forms and wholly with their real natures.

Obviously, construing the word impression in that strict a fashion, hobbling it to senses that remain as naively literal as they favor the purely material, is bound to raise a welter of absurdities in the mind. The notion that an object itself can provide instruction in its nature is not invidious in itself. It is only the refractory implication that often accompanies it, the uncritical, unexamined, and unreflective assumption that this degree of directness affords a quality of infallibility to what nature teaches, insofar as its lessons can be imparted to the finite mind. Regarded in this light, the fallacies imputed to essentialist doctrines and instructivist notions are not essential to the elements of validity that a charitable interpretation could find in them, but only variations on the same old theme, the pervasive illusion that any mode of infallible cognition is available to a finite mind.

What can be said about this fundamental fallacy, to wit, the presumption of infallibility that so persistently appears to affect the minds of the very agents who least deserve to claim its prerogative with any justice, that so frequently appears to remain as incorrigible as it is devoted to preserve its unregenerate state? If one inquires into the origin of this delusion and into the source of its effects on the mind, then the issue can be divided into two branches, distinguishing the mechanisms of its operation from the motives of its enterprise, the how from the why. When it comes to the mechanisms that are capable of accomplishing the effects of this illusion, it seems to be through the creations of the imagination and the ingenuities of speculative thought, in short, through the inventions of wishful thinking that it manages to maintain itself. When it comes to the motives that can be held responsible for mounting the measures of effort that the work on this web of deception requires, they seems to harbor their most fugitive aspiration in the overwhelming need to find some perfection somewhere. This is tantamount to a desire or a disposition, affecting the conduct of agent who falls subject to it, that expects a promise of perfect certainty at some point or other, and thus insists on placing a measure of absolute trust in a point of dogma or a rule of method.

Wherever there is an prevailing need to believe that one already knows, to think with respect to a question that the answer is already found, then there will be no genuine inquiry occurring in that direction.

If it pertinent to characterize the kind of agent that behaves this way, it is almost as if the agent imagines that it cannot actually be, neither begin to act, nor continue to act, without such a guarantee of certainty. But what kind of surety would that be, but another specious certificate? Perhaps this character of conduct is due to an excessive sensitivity to the “irritation of doubt” or an exaggerated intolerance for existing in a state of uncertainty. But no amount of finite intuition can purchase an instruction so authoritative that it can ever be interpreted as infallible. In summary, if essentialism and its oftentimes corollary instructivism are interpreted perversely, that is, taking at face value the excessively literal images and the extremely material senses that their underlying thematic metaphors are able to bring to mind, then they are definitely capable of leading to ridiculous conclusions, but if they are interpreted in figurative and formal manners, then there may be a sufficient amount of interpretive elbow room for them to convey a measure of sense.

In this work I intend to give a liberal interpretation to the issue of what kinds of forms are able to impress their shapes on the mind. I consider it likely that they can take the forms, among other things, of probability distributions, in other words, patterns of amplitude, density, frequency, intensity, or likely value that can be predicated of events in the world or impressions in the mind with equal felicity. If these forms are still too concretely cast, then still more formal forms are available. Abstracting from the contents of a strictly probabilistic interpretation, one is left with functions from domains of elementary events articulated in the world or existential experiences affecting the mind, respectively, to ranges of a common value, the height of which has the sole utility of indicating to different degrees the diverse elements under its dominion. In the resulting spaces of functions, forms of dispensation or patterns of distribution accumulate over the domains of external events and the domains of internal experiences, respectively, like crowns of foliage above the branches of the corresponding trees. It is trees like these, nothing more literal, that provides the material for mental impressions. In summary, the medium of functional forms is able to furnish a common ground for the exchange of information between events and experiences and to supply a mode of comparison that connects any domain of objects with any domain of ideas.

Granted the liberality of this interpretation, and given the looseness of this resulting constructions, while recognizing the general fallibility of all the mind's affections and impressions, and also remembering that the essences of some substantial objects are formal, relational, or structural rather than absolute, literal, or material, the force of common objections to essential instructions is blunted or diffused on these points, that is, the potential charges of essentialist and instructivist fallacies become defused in their application to these forms of distributed interpretation.

Given that reasonable interpretations are available for the language of mental impressions, that serve to make talk about mental impressions at least potentially sensible, then what explains the very real problems that nevertheless continue to arise from this usage? As far as I can detect, the real problem with the supposition of an instructive mechanism of transfer is a steady bias, arising especially in certain corners of the modern scene, toward material rather than formal interpretations of the forms, the patterns, or the shapes that are taken as being impressed on the mind.

5.2.11.5. Of Signs and the Mind

In the process of trying to clarify my initial description of inquiry, I worked my way back through several modern animadversions, credulous and critical at turns, to an original classical source for many of the ideas that are involved in it. In the process of attempting to understand this text, encountered as a foundation stone in the discussion of sign relations, I found myself invoking, almost reflexively, a number of distinctions, for instance, that between figure and letter, as they are used to mark a manner of interpretation, and that between form and matter, as they concern the content of an indication, and each distinction in its turn seemed to be necessary just in order to outline a sufficient indication of what I sense to be a proper reading of this text.

But the mere formation and the occasional invocation of these words, no matter how familiar the sound of them, is of little benefit to my reader if I cannot explain the sense of them, whether long established meanings or any new gleanings that I intend, and the instrumentality intended for these distinctions can be of little use to anyone unless I can say, with regard to each conceivable distinction, how it is made or how I make it. In accordance with this reflection on the making of distinctions, I am thus led to ask: “Who makes these distinctions, and how are they made? Are they made before us, by us, or after us?”

I think I began innocently enough, with no predominating desire either to dispatch or else to vindicate any particular line of thought, but simply to trace the effects of certain ideas, and this means tracking them down to their sources, in whatever places they are to be found, whether ancient or modern, as well as trying to deduce or to foresee their consequences in theory or in action, whether for good or for ill. And now this form of investigation, more like a process of divestiture, brings me to an array of questions that I have only the slightest clues how to answer.

All of the leads that I do have arise from noticing the things that are left still lying about, the remains of the case that led to the inquiry. This includes, beyond the intentional products of focal investigations, the artifacts of analysis that still disturb the development of a clear and complete picture, the circumstantial evidence that fails to fit my nearest approximation to the facts, and the incidental residues that are supposed to have their sole function only in servicing the machinery of method, and yet that seem to litter the grounds around my present site.

For example, it was among this array of clutter on the workbench that I first noticed the distinction between form and matter. It appears as an element or tool that I have been using all along without much reflection on its qualities. And yet there is nothing simple in the way it appears, on the one hand, as a constituent of construction, on the other hand, as an instrument of interpretation. And then, the moment I start to reflect on it, to become aware of the contingent facticity of the distinction, as if for the very first time, I find I must confess that I have lost all my formerly implicit faith in the trustworthiness, the unquestioned utility, and the ultimate validity of even this apparently innocuous distinction. There is nothing then to do about it but to begin again, to examine the worth of this now hypothetical distinction, to see whether the old trust in it can be reconstructed, whether a new justification for it needs to be devised, whether anything like it has to be entirely dispensed with, or whether alternative forms of distinction and even much different types of relation are required to take its place.

Is it conceivable that the proper application of these bits and pieces to themselves and to each other can lead to a reconstruction of the rationality desired?

For instance, consider the distinction between form and matter.

No matter what distinction forms the interest of the moment, there is that which discerns, draws, finds, follows, grasps, makes, sees, or seizes the distinction in question, an experimental agency that might as well be called an interpreter, a maker, or an observer of that distinction. With regard to any form of distinction, the agency of a distinguisher or a former is a role that seems to suit what the Greeks fairly often described, but just barely hinted at, under the name of an entelechy. In general, this is a somewhat mysterious designation, stemming from a complex of terms whose various connotations are commonly translated as actuality or reality, and often as actualization or realization, seeming to suggest actualizer or realizer for the duty of this agent. Sticking more literally to its etymology, the function of an entelechy can be taken to mean “that which has or is its end in itself”, and thus “that which exists for its own sake” or “that which is complete as it is”. Whether the interpreter actively creates the distinction as it is drawn or passively discovers the distinction as it is traced is not yet the issue of interest, and I leave this matter to a future distinction.

The relevance of the distinction between form and matter can be traced, not solely by way of illustration, to another passage from Aristotle:

(Aristotle)

One should not let the phrases tertium quid or third something lead one astray, going so far as to think that an additional essence, a new kind of material, or a novel substance is implied, when it might be only a third way of being, mode of existence, degree of freedom, dimension of motion, or an extra role in a relation that is actually required.

To this seminal account of interpretation the pragmatic theory of signs adds an array of general and specific elaborations, equipping it with a fully developed corpus of formal, instrumental, and material features. Since the pragmatic line of development is in some sense an alternative track to what is usually called the modern line, the naive enlightenment, or the cartesian tradition, and yet shares many aims and basic methods with this still current mode of inquiry, it is necessary to distinguish these different trends, to detect their different impacts on the present scene, and to discern their different imports for the future of inquiry. The accidental, intentional, and specific differences that the pragmatic theory of sign relations, in its currently developing form, is able to deploy over and above the ancient account, along with the differential circumstances that exist in the context of its present day applications, are taken up next, starting with the most salient augmentations and the most significant extensions of its overall lines of growth.

Some of the most important general features that mark out the pragmatic theory of sign relations from its original material are instrumental in character and arise largely due to changes in the technological base, formally speaking, between the ancient and the present times, that is, by innovations in the formal languages and the technical methods that are made available for carrying out the discussion. Three of these general instrumental features are taken up next.

In conformity with the modern facility for thinking of relations in general in extensional terms, as collections of ordered n tuples of domain components that belong to the relation in question, current versions of the theory of signs render it easiest to think of each given sign relation as a particular collection of ordered triples. Elements of a sign relation are called elementary sign relations (ESRs), and the data of each given element of the sign relation can be represented as an ordered triple, of the form \((o, s, i),\!\) that names its object, sign, and interpretant, respectively.
Among the other props on the modern stage, the pragmatic theory of sign relations can make especially good use of the bounteous logics of relations and algebras of relative terms that are currently available, as expressed in any one of several symbolic calculi with approximately the power of predicate logic. Indeed, many of these algebras, calculi, and logics of relations received their first “modern&redquo; formulations in the work of C.S. Peirce, and in the very process of trying to deal with the problems presented by the classical theory of signs. As it happens, this coincidence of origins and this parallelism of derivations may help to account for the appearance of a quality of pre-established harmony that is presently manifested between the general subject of relations and the special subject of sign relations.
Developments in other fields in the intervening times have caused the prevailing paradigms to shift a number of times. For starters, the lately recognized inescapability of participatory observation, and the multitude of constraints on knowledgeable action that the necessity of this contingency implies, that ought to have always been clear in marking the horizons of anthropology, economics, politics, psychology, and sociology, and the phenomenological consequences of this unavoidability that have recently forced themselves to the status of physical principles and tardily made their appearance in the symbolic rites of the attendant formalities, against all the fields of reluctance that physics can generate, and in spite of the full recalcitrance that its occasional ancillary, mathematics, can bring to heel. These cautions leave even the casual observer nowadays much more suspicious about declaring the self evident independence of diverse aspects and axes of experience, whether assuming the disentanglement of different features of experiential quality or presuming on the orthogonality of their coordinate dimensions of formal quantity, for instance, as represented by the aspects of particles versus waves, or the axes of space versus time. Features and dimensions of experience that appear as relevant or arise into salience at one level of action, exchange, or observation can disappear from the scene of relevant regard at other stages of participation and weigh imponderably on other scales of transaction. In relation to one another, aspects and axes of experience that appear unrelated just so long as they are considered at one level of interaction and perception may not preserve their appearance of indifference and independence if the scales of participation under consideration are radically shifted, whether up or down in their order of magnitude. As a result, the sort of consideration that makes a line of experience conspicuous as it falls on one plane of existence is seldom enough to draw it through every plane of being. In a related fashion, the brand of consideration whose bearing on an intermediate scale of treatment causes one to regard two features or dimensions of experience as moderately independent or as relatively orthogonal is rarely ever relevant to all levels of regard and is almost never enough to justify one's calling these aspects absolutely independent or to support one's calling these axes "perfectly orthogonal".

Next, I examine the more specific features of the pragmatic theory of sign relations, focusing on attributes that are augmented in the degrees of their development and that acquire a distinctive emphasis along with the extension and growth of this theory. These features happen to be material in character, that is, they concern the contents of individual sign relations, affecting the aspects of relational structure and the orders of relational complexity that become especially conspicuous from the pragmatic point of view. Two of these specific material features are taken up next.

Direct relation between objects and signs.
Irreducibly triadic sign relations.

A few more things can now be said about the conditions that are usually taken for granted in the theoretical use of sign relations. Although it is often the case that the structure of the object domain is marked for reconstruction, part for part, in the partition of the syntactic domain, as one says, in the divisions of its quotient structure, or equally, in the structure of its semantic equivalence classes (SECs), which are also called its semantic orbits, it is advisable not to imagine, except in the most abstractly artificial and purely formal cases, that an object is “nothing but” an orbit of signs. In every situation of concrete or practical interest, the object domain is something that has a real existence, one that is independent of the syntactic domain to some degree, and to a degree of qualified independence that can be specified, for example, as absolutely, moderately, or relatively. That is, an object exists in a manner that is more or less independent of both the signs and the interpretants that are used to talk and to think about it, as one sooner or later discovers in any real case where one is tempted to ignore the implications of this fact.

But this explanation of the status intended for objects only serves to elevate into prominence the subordinate question: What is meant by the relation independent of? Outside the realm of mathematics, where the necessity has long been recognized of declaring one's independence in the form of an explicit and public definition, one that makes clear the sense of the term that one plans to uphold, this is an issue that still manages to incite an uproarious confusion of obvious claims and often just as obvious counter claims, each of which is just as insistent in what it attributes to the terms of its relation as the actual basis for what it considers evident is kept implicit.

One thing does appear certain, at least, once the issue is addressed: Whatever it means, and however it is qualified, the relation of being independent of does not mean a relation of being not in relation to. After all, did I not just call this, with all due justice, a relation? Indeed, independently of all questions of independence, the very notion of there being a relation not in relation to is a self cancelling nullity. Perhaps the closest that one can approach to conceiving of relations like not related to or not a relative of, in short, perhaps the simplest analogues or approximations to such a relation that one can devise are: considered as not in relation to or treated as not in relation to, prompting the questions: considered by whom? and treated by whom?, all of which goes to make it manifest that a triadic relation is the minimal support needed for any such brand of speculative relation.

In trying to reach a form of relation that is minimal in a certain regard, the analysis comes to a point where it is forced to reverse its direction and to synthesize a complex relation, one that possesses a higher arity than might be expected of a structure intended as a primitive rudiment. What is ultimately suggested is a triadic relation that formulates the idea of a consideration, a regard, or a treatment. This involves an agent that acts as the overseer of the consideration, the regard, or the treatment in question along with a couple of other entities that fall in a dyadic relation to each other under this consideration, this regard, or this treatment. The way to treat this triadic relation as sparingly as possible, in regard to the level of consideration that is assigned to it, is to let the agency of this oversight ignore as much as it possibly can about all the relations that conceivably exist between the overseen pair, the couple of agents, entities, or objects that fall within its purview. Thus, the least that the overseer can manage to do is to mark a relation between the other two parties, without codifying, conveying, recording, or retaining any information about the particular kind of relation it is. At any rate, this is the best interpretation that I find myself able to contrive at present for “\(X\!\) regards \(Y\!\) as not in relation to \(Z\!\)”.

The preceding analysis may appear to lead up to a trivial point, but the argument just recounted is formally identical to a demonstration that is basic to pragmatic thinking, namely, that “we have no conception of the absolutely incognizable” (Peirce, CP 5.265). Whether or not one wishes to say that there are such things as the “absolutely incognizable”, we have no conception of them. Any concept that we do have cannot truly be a concept of them, that is, it cannot be held to be true of them, since this all by itself would amount in fact to making them cognizable. The idea that a successful conception is intended by its very nature to result in a true concept is critical and crucial in this regard. If one merely wants to point out the triviality that we can have false concepts of anything we please, for example, the false concepts that are attached to the verbal formula “absolutely incognizable”, then it is easy enough to stipulate that we are likely to have false conceits and misleading concepts about very many things indeed.

Since the pragmatic theory of sign relations welcomes partial symbols and verbal formulas of every species of description as well as mental impressions, concepts, and ideas of every genus and level of generation into the same broad class of entities that it takes as signs, the idea of an object that is not the object of a sign imparts a formal impression within its material that is identical, or at least indistinguishable in the structure of the relations that it suggests, to the idea of a relation that fits the verbal formula or the specious specification not in relation to. A rigorous critique of these very ideas is required in order to prevent their specious impressions from flowering into malign oppressions that obsess both the mind and the spirit. The pragmatic critique of prior philosophy and the pragmatic theory of signs are intended, in part, precisely to address this task of weeding out delusive ideas.

5.2.11.6. Questions of Justification

There is a singular misunderstanding of this pragmatic perspective that needs to have its equally singular but bad effects blunted at this point. There is a definition of good conduct that is implicit in the pragmatic ordering of the normative sciences, but it is a characterization whose true import is frequently misinterpreted by seizing too quickly on one partial formulation or another of its full intention. If the pragmatic definition of good conduct is properly considered, in light of the full circumstances of its intended application, it does not lead to the bad end often associated with the fallacy of “the ends justifying the means”. In fact, the bad effects accountable to even so facile a formulation of the pragmatic desideratum, can be seen to result, in actual practice, from a faulty application of its own stated principle, going even so far as to ignore the expressly indicated pluralities of “ends” and “means”. But that is merely a verbal scruple. In the end, it does not matter whether one speaks of “ends” or the “end”. What really matters is that the term not be interpreted in too singular a way, but only with regard to the whole conceivable effect of each contemplated form of conduct.

Accordingly, in order to counteract the brands of bad faith that arise from ignoring this holistic sense, one needs to remember that an action has many consequences. Since an action has a multitude of results, a plurality of which conceivably contribute in significant ways to a truly balanced judgment of its goodness, an action is good only in so far as all of these results are good. If an action, intended primarily for the purpose of achieving a particular good, however successful it is toward that end, nevertheless has collateral consequences that are not so good, then the action is to that degree not so good as it otherwise might be. These are moral trivialities, of course, but just as easily trifled with, and apparently as likely to slip into oblivion for all concerned as they are likely to be slighted by some. But this is the nature of singularity.

From this pragmatic point of view, it is possible to deal with many questions of justification by invoking the contexts of amenities that surround the reasoning process, outside of which it cannot be pursued and without which it makes no sense. In this frame, one can say that reason is justified by its alternative, that is to say, by unreason, but only in the peculiar sense that reason is justified by considering the properties of unreason, by contemplating the ethical consequences of acting according to its dictates, and by recognizing the aesthetic fact that one does not like these consequences. Of course, this strategy of argument does not amount to a justification of reason in any positive sense of the word justification. In logical force it is tantamount to the aesthetic tautology of simply insisting that one likes what one likes, but I see nothing unreasonable about this form of justification (FOJ), at least, as it is employed in this case. The whole point of noticing the placement of logic within the concentric spheres of ethics and aesthetics is that logical arguments depend on prior considerations of ethical and aesthetic casts, so a logical argument that merely recovers and iterates this context is acting in conformity with the only objective it knows.

By way of concrete examples, FOJs of a negative character frequently arise in situations that are affected by a genuine dilemma, where it is necessary to choose just one action from a set of two or more actions, where it is impossible to do nothing and impossible to do everything, and where each action excludes all the others. At such a juncture the structure of that very situation, or a reference to it as described, is itself a sufficiently valid FOJ for choosing some action, even if not yet a full justification for any one specific choice. If an agent challenged: “Why did you do that?”, responds: “It was necessary to do something!”, then that is “just” as far as it goes, to a general not a specific extent. In summary, one finds that there are FOJs of a negative character, that proceed by the rejection of an alternative, but that are perfectly valid in their doing so. These FOJs of a negative character exist in contrast to the more familiar FOJs, at least, the more often expressed FOJs, all of which are positive and transitive in character, identical or analogous to the various forms of logical implication and logical consequence.

The dictum to the effect that there is no argument in matters of taste, for what it is worth, enjoins an argument to, not an argument from. An aesthetic principle or judgment, that I prefer to live, for example, can have definite logical consequences, even if every justification I can expect to find for it is ultimately circular, tautologous, or logically speaking, trivial in form: “Why do I like it?” — “Just because I do!” To me, this cannot help but seem, if challenged in a case of this kind, to be a perfectly adequate and a reasonably sufficient answer. But to maintain this reason means to preserve this life, and that in its turn has decidedly logical consequences. It is likely that artisans and engineers have an easier time understanding this pragmatic principle, what it means in active practice and the wisdom it holds in general, than many varieties of logicians, mathematicians, philosophers, and scientists, although if I say that I pick my axioms with an eye to the beauty of what they can shape, in other words, that I select my logical and mathematical principles for what are essentially aesthetic reasons, then there are evidently some in these guilded ilks who already know what I mean.

Socrates not only used irony but was so dedicated to irony that he himself succumbed to it.

Kierkegaard, The Concept of Irony, [Kier, 5]

A person who drinks an extract of hemlock for what he says is a reason of logic either suffers from a confusion of priorities or acts according to a higher aesthetic than that of saving his own small portion of life. But a person who drains the tendered glass for lack of lighting quickly enough on a reason why not is a person who has let his extract of logic turn to a poison in its own right.

5.2.11.7. The Experience of Satisfaction

Die unbegreiflich hohen Werke
Sind herrlich wie am ersten Tag.

The world's unwithered countenance
Is bright as on the earliest day.
	Goethe, Faust, …,
	quoted in Weyl, The Open World, [Weyl, 29].

With these considerations freshly in mind, it is possible to return to the more immediate questions:

Why is it useful to keep a store of memory?

How does a record of past experiences serve an agent in meeting its present goals and thereby in achieving future satisfactions?

Assuming that an agent, however accidentally, elliptically, obliquely, occasionally, partially, or transiently it may happen, ever experiences a state of satisfaction, as reflects its achievement of one of its objects or as marks its identity with one of its goals, then it is likely to be useful for that agent to try to keep track of all the incidental experiences that accompany or surround this "experience of satisfaction" (EOS). Because the questions of causal order and even of purely temporal simultaneity are difficult in general to resolve in real time, in medias res, it is advisable for the agent not to focus too fixedly on trying to sort out the precedents from the consequents, at least, at first. But why is it likely to be useful? And what does it mean to be useful? Responding to these questions requires another apparent departure, as follows.

What does it mean to be useful? It means to further the purpose of an agent's present, continued, or future satisfaction. It means to help an agent achieve a specified goal, or else, failing the possibility of that, to help an agent know the reasons why a particular goal is impossible. Taking this as a satisfactory answer on this score, for now, it leads to the question of why a record of previous experience is likely to further the purpose of future satisfactions. Looking forward to the point when these issues of justification are out of the way, I will then be able to focus on the purely technical task of showing how sign relations can be used to construct many varieties of extremely flexible memory stores, not just accumulating the images of past experience, but indexing their elements in ways that make it possible to analyze their logical imports.

If there is any consistency to experience, in other words, any form of lawful relationship between one sample of experience and other samples of experience, then it follows that almost any kind of memory structure, any facility for attention and retention that an agent can contrive to organize the interaction between transient experience and the orders of its more persistent signs, any faculty that allows an agent to note the sundry aspects of a satisfying experience or the circumstantial details of a satisfying situation, any organization of processes that permits an agent to fashion periodic or persistent notes of the tangent experiences that surround an EOS, whether these stores are internal to its initially given body of resources or external to its innate endowment, is likely to be of service in achieving future satisfactions. Properly organized for quick access, the whole index of past experience can serve as a catalyst for future achievements, in other words, it can act on the whole as the sort of sign that is conducive to actualizing its object.

One may well ask: Is there any form of lawful relationship between one sample of experience and other samples of experience? To say yes too quickly is practically vacuous, that is, it is empty of anything beyond the vaguest hopes of an implication for action, until one is willing to risk the assumption of a specific form of lawful relationship. For the sake of proposing a non trivial stake, what one needs and desires is an informative form of lawful relationship. I am not making any form of fixed assumption here, but merely contemplating the forms of hypotheses that I am able to consider as possible. I admit to occasionally having experiences that cause me to question all the more frequently exploited answers to this question, that tempt me to say no even to this modest quantum of presumption, but then I note that it is particular varieties of experience that lead me to say this and specific brands of laws that I am led to question. Then I notice that all the forms of contrariety, disagreement, discord, discrepancy, disharmony, disparity, dispersion, dissension, distribution, diversification, incongruity, and opposition that I encounter at these junctures are themselves distinctions with a difference, and each in its way renders a generic form of distinction, “which, taken at the flood, leads on to fortune”, to wit, a wealth of unsuspected approaches to the problems that positive experience poses. Without being tempted to classify or to enumerate the full diversity of logical forms by which differing samples of experience come to grate on and to grind against each other, it is possible at this point to notice their essentially differential, negative, and oppositional characters.

In this way, I arrive at the conclusion that forms of negation (FONs), or fundamentally negative logical relations, are unavoidable necessities, needed to anchor any adequate basis for stating the forms of interaction among different samples of experience. One finds, instead of a positive foundation, that irreducibly negative operations are inescapable notions, needed to support any satisfactory system of notations for detailing the collisions and the collusions that particles of experience impart to one another. In spite of the aura of negativity that chances to shade their logical aspects, to color their evidential impacts, and to weigh against their positive receptions, the counter exemplary characters and conducts of these bearings of experience on experience do, at a minimum, contrive to convey “informative forms of lawful relationship between one sample of experience and other samples of experience”.

The circumstance that absence, necessity, and privation are the mothers of invention, possibility, and plenitude is a difficult fact of logic to accustom oneself to, apparently because of the mind's innate blind spots in regard to its own nature and partly due to the mind's acquired bias in favor of positive relationships. Against these blocks and in accord with this bias, the aspects of nullity and vacuity that arise in respect of logical FONs are frequently responsible for leading the mind astray, for instance, into supposing that these FONs are:

Purely derivative abstractions from wholly positive contents and structures of experience,
Partially selective extractions from primary materials of experience and primitive elements of reasoning,
Secondary, tertiary, and higher order constructions that are based on and built from basically positive forms of empirical and rational connection, and
Wholly dependent for their practical utility and their rational justification on contents of positive experience to fill out their sparingly minimal forms.

By way of contrast, it is possible to identify a couple of dimensions along which the variety of clarification tasks can be classified into coherent associations among themselves and coordinated with each other.

One interpretation of the clarification task fixes the object and the class of signs that figure in as implied arguments of the operation, and thus it understands the task as a process of refining the quality of significance that stems from the individual signs, that is, developing a clearer interpretant for each sign given in the input class. I refer to this brand of clarification as a modeling process, for several reasons:

Speaking of signs in the generic sense, this mode of clarification process involves the finding or the making of model signs to serve as their clarified interpretants. In other words, it takes in signs of an arbitrary quality of clarity and replaces them with their canonical, normal, or standard equivalents, ones that have an improved or optimal level of clarity.
Speaking of signs in the sense of logical expressions, this mode of clarification process involves the detection, enumeration, and organization of their logical "models", that is, their logically satisfying interpretations.

Overall, this brand of clarification can be viewed a purely cognitive, intellectual, syntactic, or rational process, one that goes on in the absence of any interaction with the object domain beyond the initial sample of signs.

Another interpretation of the clarification task allows the object, or the information that the object avails of itself, to change over time. It is not that agents always have a lot of choice in the matter of whether changes occur or what changes take place, but only that they do have the option to envision the possibility of changes in the objects or the data, and accordingly to contrive systematic ways of tracking these changes and accounting for the developments of objects and signs through time. This rendition of the general requirement to “increase the clarity of the signs that the agent possesses about the object” comprehends the task of clarification as a matter of increasing the quantity of the agent's possessions in that regard, and it leads to a class of strategies in which agents proceed by gathering each new sign that they find of the object into the class of signs that forms their sample.

5.2.11.8. An Organizational Difficulty

Moreover, I did not wish to begin to reject completely any of the opinions which might have slipped earlier into my mind without having been introduced by reason, until I had first given myself enough time to make a plan of the work I was undertaking, and to seek the true method of arriving at knowledge of everything my mind was capable of grasping.

Rene Descartes, Discourse on Method, [Des1, 39-40]

At this point in my text I run into what I think of as an organizational difficulty (OD). I have already written sixty plus pages of this text and, if the stacks of notes and previous drafts that I find around me are any evidence, I am likely to write many pages more. …

5.2.11.9. Pragmatic Certainties

This brings me to the point of asking: What does certainty mean in practice, that is, what meanings can be revealed for the concept if one attempts to translate the intentions behind it into operational terms? Once one bothers to ask this eminently practical question, it becomes reasonably clear almost immediately that no brand of absolute certainty is ever in required practice. For practical purposes, only a moderate amount of certainty is demanded, just enough for a particular agent to settle on a particular course of action. A question about the kind of certainty expected or the level of certainty needed in order to make a decision is itself an interpretive issue. In other words, no matter whether its instances remain to be decided on a case by case basis, or whether a general rule can be formed to cover them, their resolution occurs in a manner that retains an irreducible degree of arbitrariness about it, since it must relate to the degrees of freedom possessed by the agents who arbitrate the matter in question. In the final analysis, this is an issue that devolves upon the nature and the constitution of the very form of agency that finds itself concerned with the question and exerts itself according to its interest in the action. Namely and solely, this form of agency can be comprised of nothing other than the particular agents and the communities of agents who are compelled or inspired to act at the moment in question.

The idea that certainty is needed to begin, whether to start thinking or to get moving in any direction of conduct, is one of the most paralyzing traps that the mind can let itself fall into. This is why the pragmatic theory of inquiry emphasizes uncertainty as the literal start of inquiry, since there is certainly no difficulty about the mind finding itself in a state of uncertainty. Thus, there is no scarcity of events to throw the mind into confusion, no trouble at all getting into trouble, and so this renders the whole fabric of one's experience rife with moments of doubt. But what is the mind to make of this dubious resource, and what is the ultimate good of noticing this abundance of ambivalence in the mind?

There is much that is curious in the picture of uncertainty that I just presented. The paradoxical phrase “certainly no difficulty”, that seemed to pop up from nowhere in my description of the situation, is evidently an artifact of reflection, that is, due to the reflective character of the description but not an element of the situation described. Specifically, it focuses on what appears at first to be a purely incidental triviality: How easy it is to find oneself in a state of uncertainty. More carefully, since to "find oneself" may be still too much to expect at such an early stage of the game, it may be said: How easy it is to be for the moment or to end up momentarily in a state of uncertainty. And yet, with yet another reflection, one is forced to ask: To what exactly, whether an aspect of the original situation, a newly introduced amendment to it, or a newly generated outlook on the situation, do all these attributions of certainty, ease, freedom from trouble, and lack of difficulty apply? Since it seems a contradiction to attribute these predicates to the problematic state of uncertainty itself, that is to say, they are not what's the matter in the original situation, they must belong either to the attitude of approach that is capable of reflection, to the ensuing state that is entered on reflection, or to the manner of viewing the whole situation.

Thus, it is possible to distinguish between two collections of properties, or, if one prefers, between two different applications of the same set of predicates:

Those that affect the state of inquiry, its matter, and
Those that affect the attitude toward it, the manner of regarding it, whether of absorption and irreflection or reflection and understanding.

In order to keep track of this distinction, I introduce the designations of lower order (LO) and higher order (HO) properties, attitudes, or applications of predicates.

“Aha!” you might say, here is the hidden certainty that is needed to begin the inquiry, the initial knowledge of its true motive force that makes the whole process of inquiry feasible, the unshakable faith in its prime mover that is required to rest before the rest can get started, or the ultimate security that is necessary to sustain the entire endeavor. But it is not that, not yet. The particular brand of HO certainty that arises in this situation is actually of very little use in resolving the original uncertainty. Although it can provide a modicum of security, a small peace of mind, and serve as a sop to Cerberus at critical times, the invitations to this escape can be as distracting as the delights of its certainties are in fact seductive, and the exercise of this method to the exclusion of risking the perils of real experience can just as easily become the main obstruction to the further progress of inquiry.

This business of being certain that one is uncertain, the enterprises of reasoning that vie to capitalize on its purely derivative securities, the foundations of thought that try to indemnify themselves against all risk and against all hope through the guarantees of its instruments, the certificates of its stocks, and the surety of its bonds, the companies of philosophers, incorporated and limited, who leave their precious earnings so heavily invested in the specious lightness of its bearing, and all the subsidiary entertainments that are produced in pursuit of this spectacle, that grow in the absence of more penetrating lights to delight the hosts of spectators, to enrich the parasites of apparent productivity, that accrue in lieu of more genuine profits to all the participants and their silent partners who count themselves party to this form of gamble, and that provide nothing more than a nominal incentive, both for those who stake their personal fortunes on the receipts of the intervening days and those who bet their pari mutuel interests on the outcome of running along this track — this entire business, that strives to busy itself at any cost whatsoever, to protect its investment for its own sake, and to insure its continuance by means of any excuse it can arrange for itself, eventually leads to the following strategy: to institute a discipline whose rationale is precisely that of issuing warrants for unnamed and probably unnameable apprehensions, of handing down sealed indictments whose principals on principle remain as impeccable as they are obscure, and of rendering forms of certification for forms of belief that have already surrendered their original contents — this tiresome business can easily become so all consuming and global in its sphere of influence, while curiously remaining so provincial and local in its motives, that it totally derails the original train of thought.

What accounts for the fact that one way to certainty, the ostensibly “higher” order, so often gets favored to the exclusion of the other? Perhaps it is something in the nature of the one track mind that only one brand of certainty can be pursued at a time. Perhaps it is partly due to the implicit judgments of “lower” and “higher” and partially on account of the adventitious implications that cannot help but slip into their making. Although these terms originally attach themselves to the discussion as convenient labels, intended solely to mark the sides of a purely formal distinction, and in spite of all the arbitrary characters that go into their nominal conventions, the nature of the associative mind is such that these tokens are almost bound to mount up in time to the point where they come to represent judgments of value, to symbolize in intuitively suggestive or in strictly illicit manners something beyond their original intentions, and thus to connote guilt or gilt by means of their informal associations. Absurd, I know, almost as if the even more innocuous words left and right could come to represent significant value judgments. Still, it happens.

As a guard against the deleterious effects that frequently emerge from the drawing of a distinction between LO and HO attitudes of certainty, no matter whether the division concerns the attributions of properties or the applications of predicates, and that commonly arise from making the various lines of LO and HO tracks express enough to carry between them a significant import but not equal enough for both to carry their share of the moment, I must take care that the tracks laid down in the building of a RIF, and all the actions conducted on their basis, are always adequate to facilitating both levels of inquiry in parallel.

Triadic relations are a staple element of architecture that can serve the purpose of coordinating LO and HO inquiries, since a triadic relation can incorporate the dyadic relation that describes the transition from one state of inquiry to a subsequent state of inquiry, while still keeping track of its relationship to developments occurring on the other track. This allows the orders of developments taking place within each inquiry, and the sequences of states extracted from their processes, to proceed uninterrupted, but not uninterpreted, by each other's concerns, and to exhibit a partial independence, but an adequate correlation, with each other's progress.

In order to carry this discussion of certainty through with a maximum of ease, I need to find a battery of descriptive terms for the situation of uncertainty that is neutral with respect to two interpretations, that covers with equal facility the two kinds of uncertainty that one usually faces in a situation: (1) uncertainty about what is true in a situation, and (2) uncertainty about what to do in a situation. Along these lines, I describe the typical situation of uncertainty, encompassing both kinds of doubt that are fraught with peril for an agent, as junctures.

For the sake of a convenient classification, I label the juncture that presents a problematic phenomenon, a surprising or unexpected state of affairs, with the generic name of a surprise, and I label the juncture that presents a phenomenal problem, a demanding or unintended state of affairs, with the generic name of a problem. Junctures do not always sort themselves out into cases that are clearly one or the other type, but when they do it simplifies the manners of addressing, approaching, and ultimately resolving the difficulties they present for the agent.

If it is the aspect of a surprise that is dominant at a juncture, or the role of a spectator that is prominent for an agent, then the juncture is resolved, in its theoretical aspects, by finding an explanation, a statement expressing a way of looking at the juncture that renders it less of a surprise.
If it is the aspect of a problem that is dominant at a juncture, or the role of an actor that is prominent for an agent, then the juncture is resolved, in its theoretical aspects, by finding a plan of action, a statement expressing a way of moving from the juncture that renders it less of a problem. Of course, it remains for the plan or theoretical resolution to be carried out in practice before the problem itself can disappear.

If the uncertainty that one experiences in facing a juncture reflects the complexity of the juncture that faces one there, and if these are related to the difficulty that one is likely to have in resolving the juncture, then the appropriate analysis of these complexities, difficulties, and uncertainties into several parts can serve to advance the process of their resolution.

With this picture of an agent at a juncture, appraising the uncertainties that affect the agent in that situation, indicating the complexities and the difficulties that the situation presents for the agent to resolve, sketching the forms of analysis that are called for in the process of resolution, and suggesting the relationships that obtain among these diverse ingredients of the situation, it is feasible to return to the problem of the cartesian step, the one that moves from dubito to ergo sum, and that simultaneously, as if perforce its very passing, creates the distinction between the LO and the HO attitudes of certainty. Can the cartesian step be viewed in this light, that is, can it be placed in a suitable way within this picture of junctures and resolutions, to be specific, posing a form of analysis that advances the cause of certainty? And if so, how does it appear when regarded in this light, that is, how well does it perform with respect to its conjectural role in reducing a fundamental uncertainty of the agent concerned?

In a sense, the cartesian step splits the agent's initial juncture into a couple of parts, or subjunctures. In this attempt at resolution, there is a part identical to the initial juncture, and thus with an uncertainty of the original severity, plus a part that the agent is sure of, and thus with an uncertainty of zero. But this sort of analysis only works if it brings to light subjunctures of the initial juncture, or subsituations of the initial situation, that are actual ingredients, proper components, or non trivial constituents of it. When the HO certainty does not have an effective bearing on resolving the LO uncertainty, then the pretense of analysis is only a distraction, not a step toward a genuine resolution.

Unless the HO answer that is revealed by dint of the cartesian step has an application to the LO question that instigated the original inquiry, one that reduces the LO uncertainty that initially justified the effort, then it does not have a genuine bearing on the LO juncture that led to putting this inquiry in gear and setting its proceedings into motion, and it cannot bring to bear on the ensuing activity or the ongoing process the modicum of traction that is needed to put a brake on its continuing. But a partition of a level of uncertainty into the very same amount plus a quantity of zero is hardly a sum, however much it seems on the level, that inspires much confidence in either the practical sincerity or the ergo nomic utility of the putative sum.

When Descartes set about the reconstruction of philosophy, his first step was to (theoretically) permit scepticism and to discard the practice of the schoolmen of looking to authority as the ultimate source of truth. That done, he sought a more natural fountain of true principles, and thought he found it in the human mind; …

Self-consciousness was to furnish us with our fundamental truths, and to decide what was agreeable to reason. But since, evidently, not all ideas are true, he was led to note, as the first condition of infallibility, that they must be clear. The distinction between an idea seeming clear and really being so, never occurred to him.

(Peirce, CP 5.391).

In the discussion that follows, I am going to use the letters \(C, L, M\!\) to stand for three generic features or classes of properties, yet to be fully analyzed or completely specified, that are commonly appreciated, desired, or valued as virtues of signs and expressions. For now, a list of adjectives appropriate to each class can give a sufficient indication of their intended characters, even though it is easily possible and eventually necessary to find important distinctions that exist among the items in each given list of exemplary properties.

The class \(C\!\) is suggested by the adjectives certain, cogent, compelling, or convincing, and, in some of their senses, by apparent, evident, obvious, or patent.
The class \(L\!\) is suggested by the adjectives clear, lucid, perspicuous, plain, relevant, or vivid. To the geometric imagination, these terms suggest a bluntness (of surfaces) or a sharpness (of edges).
The class \(M\!\) is suggested by the adjectives distinct, decided, defined, definite, determinate, different, differentiated, or discrete, and, within a stretch of the imagination, by acute, conspicuous, eminent, manifest, poignant, salient, or striking. To the geometric imagination, these terms suggest a pointedness.

In this frame of thought, it needs to be understood that the intended sense of these last two classes excludes the common usage of words like clear, clearly, and so on, or distinct, distinctly, and so on, as elliptic figures of speech that are intended to be taken in a more literal way to mean clearly true, and so on, or distinctly true, and so on.

In this connection, when I mention one of these properties it is only meant as a representative of its class. Also, as they are used in this context, these terms are intended only in what is diversely called their impressionistic, nominal, subjective, superficial, or topical sense, implying the sorts of qualities that one can judge “by inspection” of the expression and its immediate situation, and without the need of a prolonged investigation. Thus, none of their intentions is damaged for this purpose by prefacing their proposal with an attitude of seeming. For all one cares in these concerns, \({}^{\backprime\backprime} \operatorname{seems}~X {}^{\prime\prime} = {}^{\backprime\backprime} X {}^{\prime\prime},\!\) for \(X = C, L, M.\!\) This makes the judgment of these qualities a matter of seeming syntax and seeming semantics, involving only the sorts of decision that are commonly and easily made without carrying out complex computations or without delving into the abstruse equivalence classes of expressions.

People frequently use the adverbs immediately or intuitively to get this sense across, and even though these terms have technical meanings that prevent me from using them in this way in anything but a casual setting, they can do for the moment. Still, when I use immediately in this sense it is meant in contrast only to ultimately, and more or less synonymous to mediately, suggesting that which holds in the meantime. In a pinch, a determination of seeming certainty or seeming clarity is enough to put an inquiry on hold for a time being, but the distinction between seeming so to me, for now and seeming so to all, forever still holds, with only the latter deserving the title of being so.

These observations on im/mediate, intuitive, or meantime determinations of certainty, clarity, and distinctness have a bearing on the styles of mathematical formulation and the modes of computational implementation that are candidates for mediating a natural style of inquiry, in other words, the sort of inquiry that a human being can relate to. Because a decision that a sign or expression has one of the virtues \(C, L, M,\!\) even to a mediate, a moderate, or a modest degree, is often enough to end an inquiry on a temporary basis, it becomes necessary to recognize a form of recursive foundation that also rests on a temporal basis. And yet, because these modes of judgment are all the while fallible and subject to change, it is possible that deeper foundations remain to be found.

What does this mean for the topic of reflection? Well, reflection is precisely that mode of thinking that is capable of beginning with the axioms and working backward, that is, of searching out the more basic forms that conceivably underlie one's received formulations.

I thereby concluded that I was a substance, of which the whole essence or nature consists in thinking, and which, in order to exist, needs no place and depends on no material thing; so that this “I”, that is to say, the mind, by which I am what I am, is entirely distinct from the body, and even that it is easier to know than the body, and moreover, that even if the body were not, it would not cease to be all that it is.

Rene Descartes, Discourse on Method, [Des1, 54]

And voila, I have, finally, spontaneously returned to there where I wanted to be. For because it now be known to me that bodies themselves are properly perceived not by the senses or by the faculty of imagining, but rather by the intellect alone, and that bodies are perceived not from thence that they would be touched or seen, but rather from thence only that they were to be understood, I cognize overtly that nothing can be perceived by me more easily or more evidently than my mind.

Rene Descartes, Meditations on First Philosophy, [Des2, 117]

On reflection, the observation that appeared just before these last questions arose can be seen to make a very broad claim about a certain class of properties affecting expressions, namely, all those properties that can be analogous to the ordered measures of expressive quality. For future reference, let me call this the monotone assumption (MA). This generatrix of so many future and specious assumptions takes for granted a sweeping claim about the ways that an order of analysis of expressions translates into an order of comparison of their measures under one of these properties. But this entire and previously unstated assumption is itself just another manner of working hypothesis for the mental procedure or the process of inquiry that makes use of it, and its proper understanding is perhaps better served if it is rephrased as a question: Can the \(X\!\) of a claim or a concept be greater than the \(X\!\) of the subordinate claims and concepts that it calls on, where \({}^{\backprime\backprime} X {}^{\prime\prime}\!\) stands for certainty, clarity, or any one of the corresponding class of measures, orders, properties, qualities, or virtues?

Rather than taking this claim for granted, suppose I go looking for any properties, that might be similar to certainty or clarity, for which the measure of a whole expression is capable of exceeding the measure of its parts. Is there an order property that is dependent on the constitution of the whole expression and a function of its analytic constituents but not necessarily tied down to monotonically conservative relationships like the sum, the average, or the lowest common denominator of the measures affecting its syntactic elements? Once I take the trouble to formulate the question in explicit terms, any number of familiar examples are free to come to mind as fitting its requirements. Indeed, since the notions of dependency and independence that accompany the use of mathematical functions and mathematical forms of decomposition do not by themselves implicate the more constrained types of dependency and the more radical types of independence that arise in relation and in reaction to the MA, it is rather easy to think of many that will do.

5.2.11.10. Problems and Methods

The relationship between a “problem” and a “method” needs to be given another look, in view of the discussion that has transpired since the initial steps of this proposal. …

To approach the distinction between problem and method in the present setting, in the light of the discussion that has transpired since I naively assumed a distinction between them, …

What is the nature of the relationship between a problem and a method? What is the distinction between them, and what sort of difference is it? These questions are made especially acute in view of the fact that the present inquiry nominates “inquiry” to both of these roles, proposing to take “inquiry” as naming both a problem and a method. If it makes any sense to do this, and if there is anything to the distinction between a problem and a method, then it must be a distinction of relational roles rather than a distinction of absolute essences. Trying to make sense of this requires me to ask: What manner of common, generic, indifferent, or shared existence do a problem and a method both possess, logically prior to taking on their distinctive roles in relation to each other?

In approaching the distinction between a problem and a method, I use a piece of advice that is helpful in approaching any important distinction, especially a distinction that is naively taken as given or a distinction that has been taken for granted for too long a spell of time, like the distinction between the problem and the method, the work and the tool, or the object and the sign. This recommends that one stand back from a full involvement in the drawing of the distinction under review, to partially withdraw one's commitment to having it drawn the way it is, and to contemplate how it came to be drawn that way in the first place, in other words, to consider the process that initially draws it and that keeps on drawing it in just the way that it presently appears.

If this is done, then one realizes that the problem and the method are both constituted in part by the way their distinction is drawn, by the sort of distinction that one takes it to be, whether a sign of the roles that entities take up in relation to each other or a mark of the natures that entities have in and of themselves, and by the items that one takes as instances on either side of the distinction. In this way, every form of distinction, with respect to the contents of its counterposed sides, plays the role of a mediator in their mutual constitution of each other.

Standing back from the picture a little further, one can see that the distinction between a problem and a method is itself a tool of method, and one that is not ordinarily considered to be a problem. To see this, notice that distinction is an -ionized term, and thus denotes both a process and a result, the process being the drawing of the distinction and the product being the distinction drawn, so any form of distinction is available for consideration in the light of its instrumental meaning. In this regard, the distinction between a problem and a method is itself an instrumentality of reasoning, a procedural means to an end, in short, a method or a tool. This particular distinction, between a problem and a method, falls among those of a very basic order, the kind that one takes as given without hesitation or reflection, uses to construe almost every situation that one finds oneself in, and does not usually question the utility of, until, as presently, some special attention is drawn to it. In summary, the distinction that is drawn between the problem seen and the method used, the conventional form of designation that says what is the work and what is the tool, is itself an artifice, a construct, an invention of the mind, or an intervention of the thinking process whose correspondence with anything else in reality and whose constitution as an enduring reality in itself is something that demands to be tested.

If the terms problem and method refer to phenomena and activities that take place in the world, then that is one mode of existence they have in common. If the “world” is further circumscribed to the kinds of phenomena that have effective descriptions, that is, computational models, and the kinds of activities that have effective prescriptions, that is, computational implementations, then the mode of existence one commonly denotes by means of programs, codes, effective procedures, or other practical recipes is another domain that is capable of providing instances that fill both the roles of a problem or a method. Taking a clue from this interpretation, I can shift my approach to the question and consider the medium of signs that is used to address the things in comparison. By starting with the syntactic side of the issue I avail myself of ready made handles on the question, even if the mechanism of these conventional modes quickly becomes a difficulty in its own right, blocking further progress and demanding to be tackled in terms of the influential biases and the instrumental characters it brings to bear.

5.3. Reflection on Reflection

5.3.1. Looking Back

Let me review the developments that bring me to this point. I began by describing my present inquiry, \(y_0,\!\) as an inquiry into inquiry, \(y \cdot y.\!\) Then I focused on the activities of discussion, \(d,\!\) and formalization, \(f,\!\) as two components of the faculty or the process of inquiry, \(y >\!\!= \{ d , f \}.\!\) This led me to the present discussion of formalization, \(f \cdot d.\!\) Considered as classes of activities, the collective instances of formalization, \(F,\!\) appeared to be encompassed by the collective instances of discussion, \(D,\!\) thereby yielding the relationship \(F \subseteq D.\!\)

I initially characterized discussion and formalization, in regard to each other, as being an “actively instrumental” versus a “passively objective” aspect, component, or “face” of the inquiry \(y >\!\!= \{ d , f \}.\!\) In casting them this way I clearly traded on the ambiguity of “-ionized” terms to force the issue a bit. In other words, I used the flexibility that is freely available within their “-ionic” construals, as processes or as products, to cast discussion and formalization into sundry molds, drawing out the patent energies that are manifested by the active process of discussion and placing them in contrast with the latent inertias that are immanent in the dormant product of formalization. In this partially arbitrary way, I decided on the one hand to treat discussion in respect of its ongoing process, the only thing that it has any assurance of accomplishing, but I decided on the other hand to treat formalization in respect of its end product, the abstract image or the formal model that constitutes its chief qualification and thus becomes the mark of what it is.

By casting inquiry into the form \(y >\!\!= \{ d , f \},\!\) I made it more likely that my development of its self application \(y \cdot y >\!\!= \{ d , f \}\{ d , f \}\!\) would first take up the application of discussion to formalization, \(f \cdot d,\!\) and only later get around to the application of formalization to discussion, \(d \cdot f,\!\) that brings the active side of the formalization process into a greater prominence. But the bias that I exploited in these readings does not seem at present to be a property of the incipient algebra that would determine the sense of the applications and the decompositions envisioned here. Thus, if I initially saw a difference between the two presentations \(\{ d , f \}\!\) and \(\{ f , d \},\!\) then it must have been a purely interpretive and not a substantial one, and the task of giving explicit notice to these interpretive distinctions and working out their algebra or calculus yet remains to be carried out in any sort of convincing fashion.

Still, the casting of discussion and formalization as active and inert, respectively, was not entirely out of character with their distinctive natures, since a process that has an end is more naturally suited to be represented by its result than a process that conceivably never ends. And whereas a discussion was allowed to be a form of discourse that does not need to have an end, with the possible exception of itself, a formalization was sensed to be a form of discourse that has, needs, seeks, or wants a distinct end, not just any end but a form of product that is preferred to satisfy a general description, and one that most likely resides outside the form of a vacuous vanity that simply refers, in a reflexive but hollow echo, to the entirety of its own proceedings.

In this merely penultimate analysis, and to the extent that the question of ends has been analyzed up to the present, it needs to be noted that more than a bit of ambiguity yet remains. When one speaks of a form of discourse each of whose instances necessarily has an end, does one mean that the definition of the form requires each instance to have an end, and does one then mean that each valid instance actually achieves its end, or does one only mean that each instance of some empirically given class of discourses actually reaches some end or another?

The word “reflection” first entered this discussion in what seemed like a purely incidental and instrumental way, as a part of the definition of a “meditation” as “a discourse intended to express its author's reflections or to guide others in contemplation” (Webster's). I converted this term to my own use as a name for a particular class of activities, describing the class of meditations, \(M,\!\) as a brand of measured and motivated discussions that can serve to mediate formalizations within the realm of discussions at large. Thus, I borrowed the term for no better reason than that of interposing a middle term between formalized discussions and discussions in general, thereby yielding the relationship \(F \subseteq M \subseteq D.\!\)

In this respect, it seems to be instructive that the issue of reflection first arrived on the present scene, quietly enough, under the aegis of a borrowed term, imported without deliberate design among the components and the connotations of its associated sample of discourse, and involved in a process that seeks to negotiate the conflicting claims that arise between formal and casual discourse. In the simplest sense of the word, an activity of reflection implies only that an agent thinks quietly and calmly about a matter, the etymology of the word suggesting the actions of bending, bounding, casting, folding, giving, turning, throwing, or yielding back again, and hence a pause, a return, or a review. In this regard, the word "reflection" barely alludes to the idea that what the agent turns back to is something that involves itself, its own patterns of activity, and thus the word only hints as yet at the complicities of self reference and self application that are involved in an agent turning back to view its past, its present, or its ongoing forms of conduct.

Whereas I dragged the topics of discussion and formalization somewhat arbitrarily and forcibly into the arena of inquiry, the issue of reflection appeared to develop naturally on its own, without significant foresight on my part, and without deliberation or design gradually forced itself on my attention, as if rebounding from contingent obstacles that exist just beyond my current horizon, reflecting the necessary constraints of a natural law, or echoing the bounds of an inherent capacity that I yet know not of.

When one crosses a critical threshold or a threshold of decision, ...

A notion of reflection, in a more authentically reflexive sense, was implicitly involved in the application of inquiry to itself, \(y_0 = y \cdot y,\!\) and was eventually encountered on a recurring basis in the application of each newly recognized component of inquiry to itself\[y \cdot y >\!\!= d \cdot d, f \cdot f.\!\] In a more substantial role, the option of a capacity for reflection was already noticed as a significant parameter in the constitution of an IF.

Often, an IF is founded and persists in operation long before any participant is able to reflect on its structure or to post a note of its character to the constituting members of the framework.

(§ 1.3.3.5, page 14)

More substantially, a notion of reflection was invoked as something necessary …

In other contexts, something called “reflection” was seen as necessary to avoid certain types of unfortunate outcomes, …

To avoid the types of cul de sac (cultist act) encountered above, I am taking some pains to ensure a reflective capacity for the interpretive frameworks I develop in this project.

(§ 1.3.3.5, page 15)

A radical form of analysis &hellip requires interpreters … to reflect on their own motives and motifs for construing and employing objects in the ways they do, and to deconstruct how their own aims and biases enter into the form and use of objects.

(§ 1.3.4.12, page 36)

Thus, the radical project in all of these directions demands forms of interpretation, analysis, synthesis that can reflect a measure of light on the initially unstated assumptions of their prospective agents.

(§ 1.3.4.12, page 36)

The relationships among the activities and faculties of discussion, contemplation, formalization, meditation, and reflection need to be explored in more detail. In particular, the relationship between formalization and reflection is especially relevant to the task of constructing a RIF.

Unlike a discussion of discussion, \(d \cdot d,\!\) which is easy to start and hard to put an end to once it gets going, it is difficult for a reflection on reflection, \(r \cdot r,\!\) to get itself going with nothing to reflect on but itself. I have just illustrated one way of doing this, namely, by leading a text to reflect on itself, as long as you understand this figure of speech to mean that it leads its interpreters, its writer and reader, without whose agency there would be no reflection at all, to reflect on how it reflects on itself. But I obviously need other ways than this to demonstrate the functions and properties of reflection in anything like their full variety.

Toward this end, it can also help to illustrate the action of reflection if I find it some material besides itself to reflect off of, in other words, if I supply it with an independently generated and concretely finished text as an argument to exercise its powers of reflection on. Accordingly, in the next part of this discussion I will interleave my text with …

The preview that follows takes up the first stirrings of many subjects that cannot be meaningfully engaged, much less fully formalized, until much later in the investigation. In many cases the ongoing discussion can afford to pause only long enough to toss a provisional name in the direction of a prospective topic, both the name and the place of which promise an eventual return and revision, if not a recurring visitation. If I were forced to give a formal title to my sketch in reconnaissance of this area, I would call it the “phenomenology of inquiry”, but this fine label is already too heavy an emblem for my effort to bear at this point.

This subsection presents a broad overview of the questions raised and the conceptual needs occasioned by the prospects of constructing a RIF. It makes no attempt to completely cover the topics it identifies and does not try to answer the questions it raises or to fill the needs it notices, but it merely points out a selective sample of the most salient concerns that need to be addressed.

The long route which I propose also aspires to carry reflection to the level of an ontology, but it will do so by degrees, following successive investigations into semantics and reflection.

Paul Ricoeur, The Conflict of Interpretations, [Ric, 6]

The subject of reflection is first approached in a topical, paraphrastic, or even periphrastic manner. The notion of a capacity for reflection is submitted to a tentative analysis, as treated in a variety of different modes of conception, by listing the duties that are typically demanded of a reflective agent, by compiling and reconciling the properties that are commonly ascribed to the process of reflection, and by contemplating the responsibilities and the results that the faculty of reflection is supposed to have in the many contexts where it is expected to serve.

“Reflection” is a word that is used with a wide variety of meanings in both ordinary language and technical contexts. Some of these uses have little to do with the sorts of inquiry being pursued here. Other uses, though related to inquiry, refer to processes that are fully as complex as inquiry itself. Neither of these extremes of meaning falls within the present focus of discussion.

The task for this project is to identify a coherent set of operations: (1) that fall within the scope of conceptual analysis and computational modeling, (2) that bear a recognizable and illuminating relationship to what is commonly called “reflection”, (3) that make an operational contribution to inquiry, and (4) that constitute simpler components of the operation of inquiry.

I define “symbol” as any structure of signification in which a direct, primary, literal meaning designates, in addition, another meaning which is indirect, secondary, and figurative and which can be apprehended only through the first.

Paul Ricoeur, The Conflict of Interpretations, [Ric, 12]

The types of reflective operations of interest in this work are best approached and analyzed within a sign theoretic setting. …

Presented in the guise of an allegorical figure, reflection appears as the bailiff or the sergeant at arms who escorts an agent, faculty, or process from the office of power to the dockets of observation, examination, and potential revision. But still, putting all allegory aside, this mode of transport goes nowhere at all, nor travels through any space, but turns on a mere change of views for all that it ushers in. One is perfectly capable of using a power of inquiry of which no account is yet given. But reflection is a part of the inquiry into conduct that gives the conduct in question a description.

He paused and nibbled absentmindedly on his branch for a while, as if gathering his thoughts.