Difference between revisions of "Relation construction"

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In [[logic]] and [[mathematics]], '''relation construction''' and '''relational constructibility''' have to do with the ways that one [[relation (mathematics)|relation]] is determined by an [[indexed family]] or a [[sequence]] of other relations, called the ''relation dataset''. The relation in the focus of consideration is called the ''faciendum''. The relation dataset typically consists of a specified relation over sets of relations, called the ''constructor'', the ''factor'', or the ''method of construction'', plus a specified set of other relations, called the ''faciens'', the ''ingredients'', or the ''makings''.
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<font size="3">&#9758;</font> This page belongs to resource collections on [[Logic Live|Logic]] and [[Inquiry Live|Inquiry]].
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In logic and mathematics, '''relation construction''' and '''relational constructibility''' have to do with the ways that one [[relation (mathematics)|relation]] is determined by an indexed family or a sequence of other relations, called the ''relation dataset''.&nbsp; The relation in the focus of consideration is called the ''faciendum''.&nbsp; The relation dataset typically consists of a specified relation over sets of relations, called the ''constructor'', the ''factor'', or the ''method of construction'', plus a specified set of other relations, called the ''faciens'', the ''ingredients'', or the ''makings''.
  
 
[[Relation composition]] and [[relation reduction]] are special cases of relation constructions.
 
[[Relation composition]] and [[relation reduction]] are special cases of relation constructions.
  
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==Examples==
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==Syllabus==
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===Focal nodes===
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* [[Inquiry Live]]
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* [[Logic Live]]
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===Peer nodes===
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* [http://intersci.ss.uci.edu/wiki/index.php/Relation_construction Relation Construction @ InterSciWiki]
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* [http://mywikibiz.com/Relation_construction Relation Construction @ MyWikiBiz]
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* [http://ref.subwiki.org/wiki/Relation_construction Relation Construction @ Subject Wikis]
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* [http://en.wikiversity.org/wiki/Relation_construction Relation Construction @ Wikiversity]
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* [http://beta.wikiversity.org/wiki/Relation_construction Relation Construction @ Wikiversity Beta]
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===Logical operators===
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{{col-break}}
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* [[Exclusive disjunction]]
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* [[Logical conjunction]]
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* [[Logical disjunction]]
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* [[Logical equality]]
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{{col-break}}
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* [[Logical implication]]
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* [[Logical NAND]]
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* [[Logical NNOR]]
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* [[Logical negation|Negation]]
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{{col-end}}
  
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(Text In Preparation)
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===Related topics===
  
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==See also==
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{{col-break}}
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* [[Ampheck]]
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* [[Boolean domain]]
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* [[Boolean function]]
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* [[Boolean-valued function]]
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* [[Differential logic]]
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{{col-break}}
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* [[Logical graph]]
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* [[Minimal negation operator]]
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* [[Multigrade operator]]
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* [[Parametric operator]]
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* [[Peirce's law]]
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{{col-break}}
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* [[Propositional calculus]]
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* [[Sole sufficient operator]]
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* [[Truth table]]
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* [[Universe of discourse]]
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* [[Zeroth order logic]]
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{{col-end}}
  
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* [[Projection (mathematics)|Projection]]
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===Relational concepts===
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{{col-begin}}
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{{col-break}}
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* [[Continuous predicate]]
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* [[Hypostatic abstraction]]
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* [[Logic of relatives]]
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* [[Logical matrix]]
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{{col-break}}
 
* [[Relation (mathematics)|Relation]]
 
* [[Relation (mathematics)|Relation]]
 
* [[Relation composition]]
 
* [[Relation composition]]
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* [[Relation construction]]
 
* [[Relation reduction]]
 
* [[Relation reduction]]
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{{col-break}}
 
* [[Relation theory]]
 
* [[Relation theory]]
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* [[Relation type]]
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* [[Relative term]]
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* [[Tacit extension]]
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* [[Sign relation]]
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* [[Triadic relation]]
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{{col-end}}
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===Information, Inquiry===
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{{col-begin}}
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{{col-break}}
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* [[Inquiry]]
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* [[Dynamics of inquiry]]
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{{col-break}}
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* [[Semeiotic]]
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* [[Logic of information]]
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{{col-break}}
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* [[Descriptive science]]
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* [[Normative science]]
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{{col-break}}
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* [[Pragmatic maxim]]
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* [[Truth theory]]
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{{col-end}}
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===Related articles===
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{{col-begin}}
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{{col-break}}
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* [http://intersci.ss.uci.edu/wiki/index.php/Cactus_Language Cactus Language]
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* [http://intersci.ss.uci.edu/wiki/index.php/Futures_Of_Logical_Graphs Futures Of Logical Graphs]
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* [http://intersci.ss.uci.edu/wiki/index.php/Propositional_Equation_Reasoning_Systems Propositional Equation Reasoning Systems]
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{{col-break}}
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* [http://intersci.ss.uci.edu/wiki/index.php/Differential_Logic_:_Introduction Differential Logic : Introduction]
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* [http://intersci.ss.uci.edu/wiki/index.php/Differential_Propositional_Calculus Differential Propositional Calculus]
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* [http://intersci.ss.uci.edu/wiki/index.php/Differential_Logic_and_Dynamic_Systems_2.0 Differential Logic and Dynamic Systems]
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{{col-break}}
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* [http://intersci.ss.uci.edu/wiki/index.php/Introduction_to_Inquiry_Driven_Systems Introduction to Inquiry Driven Systems]
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* [http://intersci.ss.uci.edu/wiki/index.php/Prospects_for_Inquiry_Driven_Systems Prospects for Inquiry Driven Systems]
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* [http://intersci.ss.uci.edu/wiki/index.php/Inquiry_Driven_Systems Inquiry Driven Systems : Inquiry Into Inquiry]
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{{col-end}}
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==Document history==
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Portions of the above article were adapted from the following sources under the [[GNU Free Documentation License]], under other applicable licenses, or by permission of the copyright holders.
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* [http://intersci.ss.uci.edu/wiki/index.php/Relation_construction Relation Construction], [http://intersci.ss.uci.edu/ InterSciWiki]
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* [http://mywikibiz.com/Relation_construction Relation Construction], [http://mywikibiz.com/ MyWikiBiz]
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* [http://planetmath.org/RelationConstruction Relation Construction], [http://planetmath.org/ PlanetMath]
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* [http://semanticweb.org/wiki/Relation_construction Relation Construction], [http://semanticweb.org/ Semantic Web]
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* [http://wikinfo.org/w/index.php/Relation_construction Relation Construction], [http://wikinfo.org/w/ Wikinfo]
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* [http://en.wikiversity.org/wiki/Relation_construction Relation Construction], [http://en.wikiversity.org/ Wikiversity]
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* [http://beta.wikiversity.org/wiki/Relation_construction Relation Construction], [http://beta.wikiversity.org/ Wikiversity Beta]
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* [http://en.wikipedia.org/w/index.php?title=Relation_construction&oldid=39070184 Relation Construction], [http://en.wikipedia.org/ Wikipedia]
  
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[[Category:Charles Sanders Peirce]]
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[[Category:Combinatorics]]
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[[Category:Computer Science]]
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[[Category:Database Theory]]
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[[Category:Discrete Mathematics]]
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[[Category:Formal Sciences]]
 
[[Category:Inquiry]]
 
[[Category:Inquiry]]
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[[Category:Peer Educational Resource]]
 
 
[[Category:Logic]]
 
[[Category:Logic]]
 
[[Category:Mathematics]]
 
[[Category:Mathematics]]
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[[Category:Relation Theory]]
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[[Category:Set Theory]]

Latest revision as of 19:18, 14 November 2015

☞ This page belongs to resource collections on Logic and Inquiry.

In logic and mathematics, relation construction and relational constructibility have to do with the ways that one relation is determined by an indexed family or a sequence of other relations, called the relation dataset.  The relation in the focus of consideration is called the faciendum.  The relation dataset typically consists of a specified relation over sets of relations, called the constructor, the factor, or the method of construction, plus a specified set of other relations, called the faciens, the ingredients, or the makings.

Relation composition and relation reduction are special cases of relation constructions.

Syllabus

Focal nodes

Peer nodes

Logical operators

Template:Col-breakTemplate:Col-breakTemplate:Col-end

Related topics

Template:Col-breakTemplate:Col-breakTemplate:Col-breakTemplate:Col-end

Relational concepts

Template:Col-breakTemplate:Col-breakTemplate:Col-breakTemplate:Col-end

Information, Inquiry

Template:Col-breakTemplate:Col-breakTemplate:Col-breakTemplate:Col-breakTemplate:Col-end

Related articles

Template:Col-breakTemplate:Col-breakTemplate:Col-breakTemplate:Col-end

Document history

Portions of the above article were adapted from the following sources under the GNU Free Documentation License, under other applicable licenses, or by permission of the copyright holders.

Retrieved from "https://mywikibiz.com/index.php?title=Relation_construction&oldid=466885"