Difference between revisions of "Relation construction"

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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]].
  
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''.
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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''.&nbsp; The relation in the focus of consideration is called the ''faciendum''.&nbsp; 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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===Focal nodes===
 
===Focal nodes===
  
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* [[Inquiry Live]]
 
* [[Inquiry Live]]
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* [[Logic Live]]
 
* [[Logic Live]]
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===Peer nodes===
 
===Peer nodes===
  
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* [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://mathweb.org/wiki/Relation_construction Relation Construction @ MathWeb Wiki]
 
* [http://netknowledge.org/wiki/Relation_construction Relation Construction @ NetKnowledge]
 
* [http://wiki.oercommons.org/mediawiki/index.php/Relation_construction Relation Construction @ OER Commons]
 
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* [http://p2pfoundation.net/Relation_Construction Relation Construction @ P2P Foundation]
 
* [http://semanticweb.org/wiki/Relation_construction Relation Construction @ SemanticWeb]
 
 
* [http://ref.subwiki.org/wiki/Relation_construction Relation Construction @ Subject Wikis]
 
* [http://ref.subwiki.org/wiki/Relation_construction Relation Construction @ Subject Wikis]
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* [http://en.wikiversity.org/wiki/Relation_construction Relation Construction @ Wikiversity]
 
* [http://beta.wikiversity.org/wiki/Relation_construction Relation Construction @ Wikiversity Beta]
 
* [http://beta.wikiversity.org/wiki/Relation_construction Relation Construction @ Wikiversity Beta]
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===Logical operators===
 
===Logical operators===
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===Related articles===
 
===Related articles===
  
* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Semiotic_Information Jon Awbrey, &ldquo;Semiotic Information&rdquo;]
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* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Introduction_to_Inquiry_Driven_Systems Jon Awbrey, &ldquo;Introduction To Inquiry Driven Systems&rdquo;]
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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]
* [http://mywikibiz.com/Directory:Jon_Awbrey/Essays/Prospects_For_Inquiry_Driven_Systems Jon Awbrey, &ldquo;Prospects For Inquiry Driven Systems&rdquo;]
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* [http://intersci.ss.uci.edu/wiki/index.php/Propositional_Equation_Reasoning_Systems Propositional Equation Reasoning Systems]
 
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* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Inquiry_Driven_Systems Jon Awbrey, &ldquo;Inquiry Driven Systems : Inquiry Into Inquiry&rdquo;]
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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]
* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Propositional_Equation_Reasoning_Systems Jon Awbrey, &ldquo;Propositional Equation Reasoning Systems&rdquo;]
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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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* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Differential_Logic_:_Introduction Jon Awbrey, &ldquo;Differential Logic : Introduction&rdquo;]
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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]
* [http://planetmath.org/encyclopedia/DifferentialPropositionalCalculus.html Jon Awbrey, &ldquo;Differential Propositional Calculus&rdquo;]
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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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* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Differential_Logic_and_Dynamic_Systems_2.0 Jon Awbrey, &ldquo;Differential Logic and Dynamic Systems&rdquo;]
 
  
 
==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.
  
{{col-begin}}
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* [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://mathweb.org/wiki/Relation_construction Relation Construction], [http://mathweb.org/wiki/ MathWeb Wiki]
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* [http://planetmath.org/RelationConstruction Relation Construction], [http://planetmath.org/ PlanetMath]
* [http://netknowledge.org/wiki/Relation_construction Relation Construction], [http://netknowledge.org/ NetKnowledge]
 
* [http://wiki.oercommons.org/mediawiki/index.php/Relation_construction Relation Construction], [http://wiki.oercommons.org/ OER Commons]
 
* [http://p2pfoundation.net/Relation_Construction Relation Construction], [http://p2pfoundation.net/ P2P Foundation]
 
{{col-break}}
 
 
* [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://planetmath.org/encyclopedia/RelationConstruction.html Relation Construction], [http://planetmath.org/ PlanetMath]
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* [http://wikinfo.org/w/index.php/Relation_construction Relation Construction], [http://wikinfo.org/w/ Wikinfo]
* [http://getwiki.net/-Relational_Construction Relation Construction], [http://getwiki.net/ GetWiki]
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* [http://en.wikiversity.org/wiki/Relation_construction Relation Construction], [http://en.wikiversity.org/ Wikiversity]
* [http://wikinfo.org/index.php/Relation_construction Relation Construction], [http://wikinfo.org/ Wikinfo]
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* [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]]
 
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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

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Logical operators

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Relational concepts

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Related articles

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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.