Difference between revisions of "Relation construction"
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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]]. | ||
− | In | + | 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''. |
[[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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===Peer nodes=== | ===Peer nodes=== | ||
− | + | * [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] | * [http://mywikibiz.com/Relation_construction Relation Construction @ MyWikiBiz] | ||
− | * [http:// | + | * [http://ref.subwiki.org/wiki/Relation_construction Relation Construction @ Subject Wikis] |
− | + | * [http://en.wikiversity.org/wiki/Relation_construction Relation Construction @ Wikiversity] | |
− | + | * [http://beta.wikiversity.org/wiki/Relation_construction Relation Construction @ Wikiversity Beta] | |
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* [[Logic of information]] | * [[Logic of information]] | ||
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===Related articles=== | ===Related articles=== | ||
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− | * [http:// | + | * [http://intersci.ss.uci.edu/wiki/index.php/Cactus_Language Cactus Language] |
− | + | * [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] |
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− | * [http:// | + | * [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:// | + | * [http://intersci.ss.uci.edu/wiki/index.php/Differential_Logic_and_Dynamic_Systems_2.0 Differential Logic and Dynamic Systems] |
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− | * [http:// | + | * [http://intersci.ss.uci.edu/wiki/index.php/Introduction_to_Inquiry_Driven_Systems Introduction to Inquiry Driven Systems] |
− | + | * [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] |
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==Document history== | ==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. | 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/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] | * [http://mywikibiz.com/Relation_construction Relation Construction], [http://mywikibiz.com/ MyWikiBiz] | ||
− | * [http:// | + | * [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] | * [http://semanticweb.org/wiki/Relation_construction Relation Construction], [http://semanticweb.org/ Semantic Web] | ||
− | * [http:// | + | * [http://wikinfo.org/w/index.php/Relation_construction Relation Construction], [http://wikinfo.org/w/ Wikinfo] |
− | * [http:// | + | * [http://en.wikiversity.org/wiki/Relation_construction Relation Construction], [http://en.wikiversity.org/ Wikiversity] |
− | * [http:// | + | * [http://beta.wikiversity.org/wiki/Relation_construction Relation Construction], [http://beta.wikiversity.org/ Wikiversity Beta] |
* [http://en.wikipedia.org/w/index.php?title=Relation_construction&oldid=39070184 Relation Construction], [http://en.wikipedia.org/ Wikipedia] | * [http://en.wikipedia.org/w/index.php?title=Relation_construction&oldid=39070184 Relation Construction], [http://en.wikipedia.org/ Wikipedia] | ||
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[[Category:Discrete Mathematics]] | [[Category:Discrete Mathematics]] | ||
[[Category:Formal Sciences]] | [[Category:Formal Sciences]] | ||
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[[Category:Logic]] | [[Category:Logic]] | ||
[[Category:Mathematics]] | [[Category:Mathematics]] | ||
[[Category:Relation Theory]] | [[Category:Relation Theory]] | ||
[[Category:Set Theory]] | [[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
- Relation Construction @ InterSciWiki
- Relation Construction @ MyWikiBiz
- Relation Construction @ Subject Wikis
- Relation Construction @ Wikiversity
- Relation Construction @ 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.
- Relation Construction, InterSciWiki
- Relation Construction, MyWikiBiz
- Relation Construction, PlanetMath
- Relation Construction, Semantic Web
- Relation Construction, Wikinfo
- Relation Construction, Wikiversity
- Relation Construction, Wikiversity Beta
- Relation Construction, Wikipedia