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| <font size="3">☞</font> This page belongs to resource collections on [[Logic Live|Logic]] and [[Inquiry Live|Inquiry]]. | | <font size="3">☞</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''' = {0, 1}. Such a [[matrix]] affords a [[matrix representation]] of a ''k''-adic [[relation (mathematics)|relation]]. | + | 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== | | ==Syllabus== |
| + | |
| + | ===Focal nodes=== |
| + | |
| + | * [[Inquiry Live]] |
| + | * [[Logic Live]] |
| + | |
| + | ===Peer nodes=== |
| + | |
| + | * [http://intersci.ss.uci.edu/wiki/index.php/Logical_matrix Logical Matrix @ InterSciWiki] |
| + | * [http://mywikibiz.com/Logical_matrix Logical Matrix @ MyWikiBiz] |
| + | * [http://ref.subwiki.org/wiki/Logical_matrix Logical Matrix @ Subject Wikis] |
| + | * [http://en.wikiversity.org/wiki/Logical_matrix Logical Matrix @ Wikiversity] |
| + | * [http://beta.wikiversity.org/wiki/Logical_matrix Logical Matrix @ Wikiversity Beta] |
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| ===Logical operators=== | | ===Logical operators=== |
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| * [[Boolean function]] | | * [[Boolean function]] |
| * [[Boolean-valued function]] | | * [[Boolean-valued function]] |
| + | * [[Differential logic]] |
| {{col-break}} | | {{col-break}} |
| * [[Logical graph]] | | * [[Logical graph]] |
− | * [[Logical matrix]]
| |
| * [[Minimal negation operator]] | | * [[Minimal negation operator]] |
| + | * [[Multigrade operator]] |
| + | * [[Parametric operator]] |
| * [[Peirce's law]] | | * [[Peirce's law]] |
| {{col-break}} | | {{col-break}} |
| * [[Propositional calculus]] | | * [[Propositional calculus]] |
| + | * [[Sole sufficient operator]] |
| * [[Truth table]] | | * [[Truth table]] |
| * [[Universe of discourse]] | | * [[Universe of discourse]] |
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| {{col-begin}} | | {{col-begin}} |
| {{col-break}} | | {{col-break}} |
| + | * [[Continuous predicate]] |
| + | * [[Hypostatic abstraction]] |
| * [[Logic of relatives]] | | * [[Logic of relatives]] |
| + | * [[Logical matrix]] |
| + | {{col-break}} |
| * [[Relation (mathematics)|Relation]] | | * [[Relation (mathematics)|Relation]] |
| * [[Relation composition]] | | * [[Relation composition]] |
− | {{col-break}}
| |
| * [[Relation construction]] | | * [[Relation construction]] |
| * [[Relation reduction]] | | * [[Relation reduction]] |
| + | {{col-break}} |
| * [[Relation theory]] | | * [[Relation theory]] |
− | {{col-break}}
| |
| * [[Relative term]] | | * [[Relative term]] |
| * [[Sign relation]] | | * [[Sign relation]] |
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| {{col-end}} | | {{col-end}} |
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− | ==Document history== | + | ===Information, Inquiry=== |
| + | |
| + | {{col-begin}} |
| + | {{col-break}} |
| + | * [[Inquiry]] |
| + | * [[Dynamics of inquiry]] |
| + | {{col-break}} |
| + | * [[Semeiotic]] |
| + | * [[Logic of information]] |
| + | {{col-break}} |
| + | * [[Descriptive science]] |
| + | * [[Normative science]] |
| + | {{col-break}} |
| + | * [[Pragmatic maxim]] |
| + | * [[Truth theory]] |
| + | {{col-end}} |
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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.
| + | ===Related articles=== |
| | | |
| {{col-begin}} | | {{col-begin}} |
| {{col-break}} | | {{col-break}} |
− | * [http://mywikibiz.com/Logical_matrix Logical Matrix], [http://mywikibiz.com/ MyWikiBiz] | + | * [http://intersci.ss.uci.edu/wiki/index.php/Cactus_Language Cactus Language] |
− | * [http://beta.wikiversity.org/wiki/Logical_matrix Logical Matrix], [http://beta.wikiversity.org/ Beta Wikiversity] | + | * [http://intersci.ss.uci.edu/wiki/index.php/Futures_Of_Logical_Graphs Futures Of Logical Graphs] |
− | * [http://planetmath.org/encyclopedia/LogicalMatrix.html Logical Matrix], [http://planetmath.org/ PlanetMath] | + | * [http://intersci.ss.uci.edu/wiki/index.php/Propositional_Equation_Reasoning_Systems Propositional Equation Reasoning Systems] |
| + | {{col-break}} |
| + | * [http://intersci.ss.uci.edu/wiki/index.php/Differential_Logic_:_Introduction Differential Logic : Introduction] |
| + | * [http://intersci.ss.uci.edu/wiki/index.php/Differential_Propositional_Calculus Differential Propositional Calculus] |
| + | * [http://intersci.ss.uci.edu/wiki/index.php/Differential_Logic_and_Dynamic_Systems_2.0 Differential Logic and Dynamic Systems] |
| {{col-break}} | | {{col-break}} |
− | * [http://www.wikinfo.org/index.php/Logical_matrix Logical Matrix], [http://www.wikinfo.org/ Wikinfo] | + | * [http://intersci.ss.uci.edu/wiki/index.php/Introduction_to_Inquiry_Driven_Systems Introduction to Inquiry Driven Systems] |
− | * [http://www.textop.org/wiki/index.php?title=Logical_matrix Logical Matrix], [http://www.textop.org/wiki/ Textop Wiki] | + | * [http://intersci.ss.uci.edu/wiki/index.php/Prospects_for_Inquiry_Driven_Systems Prospects for Inquiry Driven Systems] |
− | * [http://en.wikipedia.org/w/index.php?title=Logical_matrix&oldid=43606082 Logical Matrix], [http://en.wikipedia.org/ Wikipedia] | + | * [http://intersci.ss.uci.edu/wiki/index.php/Inquiry_Driven_Systems Inquiry Driven Systems : Inquiry Into Inquiry] |
| {{col-end}} | | {{col-end}} |
| | | |
− | <br><sharethis />
| + | ==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. |
| + | |
| + | * [http://intersci.ss.uci.edu/wiki/index.php/Logical_matrix Logical Matrix], [http://intersci.ss.uci.edu/ InterSciWiki] |
| + | * [http://mywikibiz.com/Logical_matrix Logical Matrix], [http://mywikibiz.com/ MyWikiBiz] |
| + | * [http://planetmath.org/LogicalMatrix Logical Matrix], [http://planetmath.org/ PlanetMath] |
| + | * [http://wikinfo.org/w/index.php/Logical_matrix Logical Matrix], [http://wikinfo.org/w/ Wikinfo] |
| + | * [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://en.wikipedia.org/w/index.php?title=Logical_matrix&oldid=43606082 Logical Matrix], [http://en.wikipedia.org/ Wikipedia] |
| | | |
| + | [[Category:Charles Sanders Peirce]] |
| [[Category:Combinatorics]] | | [[Category:Combinatorics]] |
| [[Category:Computer Science]] | | [[Category:Computer Science]] |
| [[Category:Discrete Mathematics]] | | [[Category:Discrete Mathematics]] |
| + | [[Category:Inquiry]] |
| [[Category:Logic]] | | [[Category:Logic]] |
| [[Category:Mathematics]] | | [[Category:Mathematics]] |
| + | [[Category:Semiotics]] |