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Relation construction (view source)

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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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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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==Examples==
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==Syllabus==
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(Text In Preparation)
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===Focal nodes===
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==See also==
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* [[Inquiry Live]]
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* [[Logic Live]]
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* [[Projection (mathematics)|Projection]]
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===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]
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* [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]
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* [http://beta.wikiversity.org/wiki/Relation_construction Relation Construction @ Wikiversity Beta]
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===Logical operators===
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* [[Exclusive disjunction]]
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* [[Logical conjunction]]
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* [[Logical disjunction]]
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* [[Logical equality]]
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* [[Logical implication]]
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* [[Logical NAND]]
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* [[Logical NNOR]]
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* [[Logical negation|Negation]]
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===Related topics===
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* [[Ampheck]]
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* [[Boolean domain]]
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* [[Boolean function]]
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* [[Boolean-valued function]]
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* [[Differential logic]]
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* [[Logical graph]]
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* [[Minimal negation operator]]
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* [[Multigrade operator]]
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* [[Parametric operator]]
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* [[Peirce's law]]
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* [[Propositional calculus]]
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* [[Sole sufficient operator]]
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* [[Truth table]]
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* [[Universe of discourse]]
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* [[Zeroth order logic]]
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{{col-end}}
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===Relational concepts===
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* [[Continuous predicate]]
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* [[Hypostatic abstraction]]
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* [[Logic of relatives]]
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* [[Logical matrix]]
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* [[Relation (mathematics)|Relation]]
 
* [[Relation (mathematics)|Relation]]
 
* [[Relation composition]]
 
* [[Relation composition]]
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* [[Relation construction]]
 
* [[Relation reduction]]
 
* [[Relation reduction]]
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* [[Relation theory]]
 
* [[Relation theory]]
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* [[Relation type]]
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* [[Relative term]]
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* [[Tacit extension]]
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* [[Sign relation]]
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* [[Triadic relation]]
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===Information, Inquiry===
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* [[Inquiry]]
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* [[Dynamics of inquiry]]
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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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* [[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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==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.
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{{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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{{col-break}}
   
* [http://mywikibiz.com/Relation_construction Relation Construction], [http://mywikibiz.com/ MyWikiBiz]
 
* [http://mywikibiz.com/Relation_construction Relation Construction], [http://mywikibiz.com/ MyWikiBiz]
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* [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]
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* [http://netknowledge.org/wiki/Relation_construction Relation Construction], [http://netknowledge.org/ NetKnowledge]
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* [http://wiki.oercommons.org/mediawiki/index.php/Relation_construction Relation Construction], [http://wiki.oercommons.org/ OER Commons]
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* [http://p2pfoundation.net/Relation_Construction Relation Construction], [http://p2pfoundation.net/ P2P Foundation]
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{{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]
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* [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]
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* [http://getwiki.net/-Relation_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]
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* [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:Charles Sanders Peirce]]
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[[Category:Open Educational Resource]]
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[[Category:Combinatorics]]
 
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[[Category:Discrete Mathematics]]
 
[[Category:Discrete Mathematics]]
 
[[Category:Formal Sciences]]
 
[[Category:Formal Sciences]]
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[[Category:Inquiry]]
 
[[Category:Logic]]
 
[[Category:Logic]]
 
[[Category:Mathematics]]
 
[[Category:Mathematics]]
 
[[Category:Relation Theory]]
 
[[Category:Relation Theory]]
 
[[Category:Set Theory]]
 
[[Category:Set Theory]]
Jon Awbrey
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