Difference between revisions of "Logical matrix"
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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]]. | ||
| − | A '''logical matrix''', in the finite dimensional case, is a | + | 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== | ||
| + | |||
| + | ===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] | ||
===Logical operators=== | ===Logical operators=== | ||
| Line 28: | Line 41: | ||
* [[Boolean function]] | * [[Boolean function]] | ||
* [[Boolean-valued function]] | * [[Boolean-valued function]] | ||
| + | * [[Differential logic]] | ||
{{col-break}} | {{col-break}} | ||
* [[Logical graph]] | * [[Logical graph]] | ||
| − | |||
* [[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]] | ||
| Line 44: | Line 60: | ||
{{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]] | ||
| − | |||
* [[Relation construction]] | * [[Relation construction]] | ||
* [[Relation reduction]] | * [[Relation reduction]] | ||
| + | {{col-break}} | ||
* [[Relation theory]] | * [[Relation theory]] | ||
| − | |||
* [[Relative term]] | * [[Relative term]] | ||
* [[Sign relation]] | * [[Sign relation]] | ||
| Line 57: | Line 76: | ||
{{col-end}} | {{col-end}} | ||
| − | == | + | ===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}} | ||
| − | + | ===Related articles=== | |
{{col-begin}} | {{col-begin}} | ||
{{col-break}} | {{col-break}} | ||
| − | * [http:// | + | * [http://intersci.ss.uci.edu/wiki/index.php/Cactus_Language Cactus Language] |
| − | * [http:// | + | * [http://intersci.ss.uci.edu/wiki/index.php/Futures_Of_Logical_Graphs Futures Of Logical Graphs] |
| − | * [http:// | + | * [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:// | + | * [http://intersci.ss.uci.edu/wiki/index.php/Introduction_to_Inquiry_Driven_Systems Introduction to Inquiry Driven Systems] |
| − | * [http:// | + | * [http://intersci.ss.uci.edu/wiki/index.php/Prospects_for_Inquiry_Driven_Systems Prospects for Inquiry Driven Systems] |
| − | * [http:// | + | * [http://intersci.ss.uci.edu/wiki/index.php/Inquiry_Driven_Systems Inquiry Driven Systems : Inquiry Into Inquiry] |
{{col-end}} | {{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. | ||
| + | |||
| + | * [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]] | ||
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 Matrix @ InterSciWiki
- Logical Matrix @ MyWikiBiz
- Logical Matrix @ Subject Wikis
- Logical Matrix @ Wikiversity
- Logical Matrix @ Wikiversity Beta
Logical operators
Template:Col-breakTemplate:Col-breakTemplate:Col-endRelated topics
- Propositional calculus
- Sole sufficient operator
- Truth table
- Universe of discourse
- Zeroth order logic
Relational concepts
Information, Inquiry
Related articles
- Differential Logic : Introduction
- Differential Propositional Calculus
- Differential Logic and Dynamic Systems
- Introduction to Inquiry Driven Systems
- Prospects for Inquiry Driven Systems
- Inquiry Driven Systems : Inquiry Into Inquiry
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.
- Logical Matrix, InterSciWiki
- Logical Matrix, MyWikiBiz
- Logical Matrix, PlanetMath
- Logical Matrix, Wikinfo
- Logical Matrix, Wikiversity
- Logical Matrix, Wikiversity Beta
- Logical Matrix, Wikipedia
