Difference between revisions of "Logical matrix"

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(copy text from [http://www.opencycle.net/ OpenCycle] of which Jon Awbrey is the sole author)
 
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A '''logical matrix''', in the finite dimensional case, is a ''k''-dimensional [[array]] with entries from the [[boolean domain]] '''B''' = {0, 1}.  Such a [[matrix]] affords a [[matrix representation]] of a ''k''-adic [[relation (mathematics)|relation]].
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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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==See also==
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A '''logical matrix''', in the finite dimensional case, is a <math>k\!</math>-dimensional array with entries from the [[boolean domain]] <math>\mathbb{B} = \{ 0,1 \}.</math>  Such a matrix affords a matrix representation of a <math>k\!</math>-adic [[relation (mathematics)|relation]].
  
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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/Logical_matrix Logical Matrix @ InterSciWiki]
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* [http://mywikibiz.com/Logical_matrix Logical Matrix @ MyWikiBiz]
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* [http://ref.subwiki.org/wiki/Logical_matrix Logical Matrix @ Subject Wikis]
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* [http://en.wikiversity.org/wiki/Logical_matrix Logical Matrix @ Wikiversity]
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* [http://beta.wikiversity.org/wiki/Logical_matrix Logical Matrix @ Wikiversity Beta]
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===Logical operators===
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{{col-begin}}
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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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===Related topics===
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{{col-begin}}
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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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===Relational concepts===
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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]]
 
* [[Relation construction]]
 
* [[Relation construction]]
 
* [[Relation reduction]]
 
* [[Relation reduction]]
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{{col-break}}
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* [[Relation theory]]
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* [[Relative term]]
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* [[Sign relation]]
 
* [[Triadic relation]]
 
* [[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/Logical_matrix Logical Matrix], [http://intersci.ss.uci.edu/ InterSciWiki]
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* [http://mywikibiz.com/Logical_matrix Logical Matrix], [http://mywikibiz.com/ MyWikiBiz]
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* [http://planetmath.org/LogicalMatrix Logical Matrix], [http://planetmath.org/ PlanetMath]
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* [http://wikinfo.org/w/index.php/Logical_matrix Logical Matrix], [http://wikinfo.org/w/ Wikinfo]
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* [http://en.wikiversity.org/wiki/Logical_matrix Logical Matrix], [http://en.wikiversity.org/ Wikiversity]
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* [http://beta.wikiversity.org/wiki/Logical_matrix Logical Matrix], [http://beta.wikiversity.org/ Wikiversity Beta]
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* [http://en.wikipedia.org/w/index.php?title=Logical_matrix&oldid=43606082 Logical Matrix], [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:Discrete Mathematics]]
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[[Category:Inquiry]]
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[[Category:Logic]]
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[[Category:Mathematics]]
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[[Category:Semiotics]]

Latest revision as of 16:12, 11 November 2015

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

A logical matrix, in the finite dimensional case, is a \(k\!\)-dimensional array with entries from the boolean domain \(\mathbb{B} = \{ 0,1 \}.\) Such a matrix affords a matrix representation of a \(k\!\)-adic relation.

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=Logical_matrix&oldid=466877"