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Logical matrix (view source)

Revision as of 16:12, 11 November 2015

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<font size="3">&#9758;</font> This page belongs to resource collections on [[Logic Live|Logic]] and [[Inquiry Live|Inquiry]].
 
<font size="3">&#9758;</font> This page belongs to resource collections on [[Logic Live|Logic]] and [[Inquiry Live|Inquiry]].
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A '''logical matrix''', in the finite dimensional case, is a ''k''-dimensional [[array]] with entries from the [[boolean domain]] '''B'''&nbsp;=&nbsp;{0,&nbsp;1}.  Such a [[matrix]] affords a [[matrix representation]] of a ''k''-adic [[relation (mathematics)|relation]].
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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]].
    
==Syllabus==
 
==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]
    
===Logical operators===
 
===Logical operators===
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* [[Boolean function]]
 
* [[Boolean function]]
 
* [[Boolean-valued function]]
 
* [[Boolean-valued function]]
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* [[Differential logic]]
 
{{col-break}}
 
{{col-break}}
 
* [[Logical graph]]
 
* [[Logical graph]]
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* [[Logical matrix]]
   
* [[Minimal negation operator]]
 
* [[Minimal negation operator]]
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* [[Multigrade operator]]
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* [[Parametric operator]]
 
* [[Peirce's law]]
 
* [[Peirce's law]]
 
{{col-break}}
 
{{col-break}}
 
* [[Propositional calculus]]
 
* [[Propositional calculus]]
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* [[Sole sufficient operator]]
 
* [[Truth table]]
 
* [[Truth table]]
 
* [[Universe of discourse]]
 
* [[Universe of discourse]]
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* [[Continuous predicate]]
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* [[Hypostatic abstraction]]
 
* [[Logic of relatives]]
 
* [[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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{{col-break}}
   
* [[Relation construction]]
 
* [[Relation construction]]
 
* [[Relation reduction]]
 
* [[Relation reduction]]
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{{col-break}}
 
* [[Relation theory]]
 
* [[Relation theory]]
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{{col-break}}
   
* [[Relative term]]
 
* [[Relative term]]
 
* [[Sign relation]]
 
* [[Sign relation]]
 
* [[Triadic relation]]
 
* [[Triadic relation]]
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{{col-end}}
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===Information, Inquiry===
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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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===Related articles===
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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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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.
 
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]
 
* [http://mywikibiz.com/Logical_matrix Logical Matrix], [http://mywikibiz.com/ MyWikiBiz]
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* [http://planetmath.org/encyclopedia/LogicalMatrix.html Logical Matrix], [http://planetmath.org/ PlanetMath]
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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]
 
* [http://beta.wikiversity.org/wiki/Logical_matrix Logical Matrix], [http://beta.wikiversity.org/ Wikiversity Beta]
 
* [http://beta.wikiversity.org/wiki/Logical_matrix Logical Matrix], [http://beta.wikiversity.org/ Wikiversity Beta]
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* [http://wikinfo.org/index.php/Logical_matrix Logical Matrix], [http://wikinfo.org/ Wikinfo]
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* [http://textop.org/wiki/index.php?title=Logical_matrix Logical Matrix], [http://textop.org/wiki/ Textop Wiki]
   
* [http://en.wikipedia.org/w/index.php?title=Logical_matrix&oldid=43606082 Logical Matrix], [http://en.wikipedia.org/ Wikipedia]
 
* [http://en.wikipedia.org/w/index.php?title=Logical_matrix&oldid=43606082 Logical Matrix], [http://en.wikipedia.org/ Wikipedia]
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[[Category:Inquiry]]
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[[Category:Charles Sanders Peirce]]
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[[Category:Peer Educational Resource]]
   
[[Category:Combinatorics]]
 
[[Category:Combinatorics]]
 
[[Category:Computer Science]]
 
[[Category:Computer Science]]
 
[[Category:Discrete Mathematics]]
 
[[Category:Discrete Mathematics]]
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[[Category:Inquiry]]
 
[[Category:Logic]]
 
[[Category:Logic]]
 
[[Category:Mathematics]]
 
[[Category:Mathematics]]
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[[Category:Semiotics]]
Jon Awbrey
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