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	<updated>2026-05-06T11:34:03Z</updated>
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		<title>Jon Awbrey: update</title>
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		<updated>2015-11-14T19:24:03Z</updated>

		<summary type="html">&lt;p&gt;update&lt;/p&gt;
&lt;a href=&quot;https://subwiki.org/w/index.php?title=Relation_construction&amp;amp;diff=753&amp;amp;oldid=558&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>Jon Awbrey</name></author>
	</entry>
	<entry>
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		<title>Jon Awbrey: + article</title>
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		<updated>2010-06-22T16:54:10Z</updated>

		<summary type="html">&lt;p&gt;+ article&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;font size=&amp;quot;3&amp;quot;&amp;gt;&amp;amp;#9758;&amp;lt;/font&amp;gt; This page belongs to resource collections on [[Logic Live|Logic]] and [[Inquiry Live|Inquiry]].&lt;br /&gt;
&lt;br /&gt;
In [[logic]] and [[mathematics]], &amp;#039;&amp;#039;&amp;#039;relation construction&amp;#039;&amp;#039;&amp;#039; and &amp;#039;&amp;#039;&amp;#039;relational constructibility&amp;#039;&amp;#039;&amp;#039; 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 &amp;#039;&amp;#039;relation dataset&amp;#039;&amp;#039;.  The relation in the focus of consideration is called the &amp;#039;&amp;#039;faciendum&amp;#039;&amp;#039;.  The relation dataset typically consists of a specified relation over sets of relations, called the &amp;#039;&amp;#039;constructor&amp;#039;&amp;#039;, the &amp;#039;&amp;#039;factor&amp;#039;&amp;#039;, or the &amp;#039;&amp;#039;method of construction&amp;#039;&amp;#039;, plus a specified set of other relations, called the &amp;#039;&amp;#039;faciens&amp;#039;&amp;#039;, the &amp;#039;&amp;#039;ingredients&amp;#039;&amp;#039;, or the &amp;#039;&amp;#039;makings&amp;#039;&amp;#039;.&lt;br /&gt;
&lt;br /&gt;
[[Relation composition]] and [[relation reduction]] are special cases of relation constructions.&lt;br /&gt;
&lt;br /&gt;
==Syllabus==&lt;br /&gt;
&lt;br /&gt;
===Focal nodes===&lt;br /&gt;
&lt;br /&gt;
{{col-begin}}&lt;br /&gt;
{{col-break}}&lt;br /&gt;
* [[Inquiry Live]]&lt;br /&gt;
{{col-break}}&lt;br /&gt;
* [[Logic Live]]&lt;br /&gt;
{{col-end}}&lt;br /&gt;
&lt;br /&gt;
===Peer nodes===&lt;br /&gt;
&lt;br /&gt;
{{col-begin}}&lt;br /&gt;
{{col-break}}&lt;br /&gt;
* [http://mywikibiz.com/Relation_construction Relation Construction @ MyWikiBiz]&lt;br /&gt;
* [http://mathweb.org/wiki/Relation_construction Relation Construction @ MathWeb Wiki]&lt;br /&gt;
* [http://netknowledge.org/wiki/Relation_construction Relation Construction @ NetKnowledge]&lt;br /&gt;
* [http://wiki.oercommons.org/mediawiki/index.php/Relation_construction Relation Construction @ OER Commons]&lt;br /&gt;
{{col-break}}&lt;br /&gt;
* [http://p2pfoundation.net/Relation_Construction Relation Construction @ P2P Foundation]&lt;br /&gt;
* [http://semanticweb.org/wiki/Relation_construction Relation Construction @ SemanticWeb]&lt;br /&gt;
* [http://ref.subwiki.org/wiki/Relation_construction Relation Construction @ Subject Wikis]&lt;br /&gt;
* [http://beta.wikiversity.org/wiki/Relation_construction Relation Construction @ Wikiversity Beta]&lt;br /&gt;
{{col-end}}&lt;br /&gt;
&lt;br /&gt;
===Logical operators===&lt;br /&gt;
&lt;br /&gt;
{{col-begin}}&lt;br /&gt;
{{col-break}}&lt;br /&gt;
* [[Exclusive disjunction]]&lt;br /&gt;
* [[Logical conjunction]]&lt;br /&gt;
* [[Logical disjunction]]&lt;br /&gt;
* [[Logical equality]]&lt;br /&gt;
{{col-break}}&lt;br /&gt;
* [[Logical implication]]&lt;br /&gt;
* [[Logical NAND]]&lt;br /&gt;
* [[Logical NNOR]]&lt;br /&gt;
* [[Logical negation|Negation]]&lt;br /&gt;
{{col-end}}&lt;br /&gt;
&lt;br /&gt;
===Related topics===&lt;br /&gt;
&lt;br /&gt;
{{col-begin}}&lt;br /&gt;
{{col-break}}&lt;br /&gt;
* [[Ampheck]]&lt;br /&gt;
* [[Boolean domain]]&lt;br /&gt;
* [[Boolean function]]&lt;br /&gt;
* [[Boolean-valued function]]&lt;br /&gt;
* [[Differential logic]]&lt;br /&gt;
{{col-break}}&lt;br /&gt;
* [[Logical graph]]&lt;br /&gt;
* [[Minimal negation operator]]&lt;br /&gt;
* [[Multigrade operator]]&lt;br /&gt;
* [[Parametric operator]]&lt;br /&gt;
* [[Peirce&amp;#039;s law]]&lt;br /&gt;
{{col-break}}&lt;br /&gt;
* [[Propositional calculus]]&lt;br /&gt;
* [[Sole sufficient operator]]&lt;br /&gt;
* [[Truth table]]&lt;br /&gt;
* [[Universe of discourse]]&lt;br /&gt;
* [[Zeroth order logic]]&lt;br /&gt;
{{col-end}}&lt;br /&gt;
&lt;br /&gt;
===Relational concepts===&lt;br /&gt;
&lt;br /&gt;
{{col-begin}}&lt;br /&gt;
{{col-break}}&lt;br /&gt;
* [[Continuous predicate]]&lt;br /&gt;
* [[Hypostatic abstraction]]&lt;br /&gt;
* [[Logic of relatives]]&lt;br /&gt;
* [[Logical matrix]]&lt;br /&gt;
{{col-break}}&lt;br /&gt;
* [[Relation (mathematics)|Relation]]&lt;br /&gt;
* [[Relation composition]]&lt;br /&gt;
* [[Relation construction]]&lt;br /&gt;
* [[Relation reduction]]&lt;br /&gt;
{{col-break}}&lt;br /&gt;
* [[Relation theory]]&lt;br /&gt;
* [[Relative term]]&lt;br /&gt;
* [[Sign relation]]&lt;br /&gt;
* [[Triadic relation]]&lt;br /&gt;
{{col-end}}&lt;br /&gt;
&lt;br /&gt;
===Information, Inquiry===&lt;br /&gt;
&lt;br /&gt;
{{col-begin}}&lt;br /&gt;
{{col-break}}&lt;br /&gt;
* [[Inquiry]]&lt;br /&gt;
* [[Dynamics of inquiry]]&lt;br /&gt;
{{col-break}}&lt;br /&gt;
* [[Semeiotic]]&lt;br /&gt;
* [[Logic of information]]&lt;br /&gt;
{{col-break}}&lt;br /&gt;
* [[Descriptive science]]&lt;br /&gt;
* [[Normative science]]&lt;br /&gt;
{{col-break}}&lt;br /&gt;
* [[Pragmatic maxim]]&lt;br /&gt;
* [[Truth theory]]&lt;br /&gt;
{{col-end}}&lt;br /&gt;
&lt;br /&gt;
===Related articles===&lt;br /&gt;
&lt;br /&gt;
* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Semiotic_Information Jon Awbrey, &amp;amp;ldquo;Semiotic Information&amp;amp;rdquo;]&lt;br /&gt;
&lt;br /&gt;
* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Introduction_to_Inquiry_Driven_Systems Jon Awbrey, &amp;amp;ldquo;Introduction To Inquiry Driven Systems&amp;amp;rdquo;]&lt;br /&gt;
&lt;br /&gt;
* [http://mywikibiz.com/Directory:Jon_Awbrey/Essays/Prospects_For_Inquiry_Driven_Systems Jon Awbrey, &amp;amp;ldquo;Prospects For Inquiry Driven Systems&amp;amp;rdquo;]&lt;br /&gt;
&lt;br /&gt;
* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Inquiry_Driven_Systems Jon Awbrey, &amp;amp;ldquo;Inquiry Driven Systems : Inquiry Into Inquiry&amp;amp;rdquo;]&lt;br /&gt;
&lt;br /&gt;
* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Propositional_Equation_Reasoning_Systems Jon Awbrey, &amp;amp;ldquo;Propositional Equation Reasoning Systems&amp;amp;rdquo;]&lt;br /&gt;
&lt;br /&gt;
* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Differential_Logic_:_Introduction Jon Awbrey, &amp;amp;ldquo;Differential Logic : Introduction&amp;amp;rdquo;]&lt;br /&gt;
&lt;br /&gt;
* [http://planetmath.org/encyclopedia/DifferentialPropositionalCalculus.html Jon Awbrey, &amp;amp;ldquo;Differential Propositional Calculus&amp;amp;rdquo;]&lt;br /&gt;
&lt;br /&gt;
* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Differential_Logic_and_Dynamic_Systems_2.0 Jon Awbrey, &amp;amp;ldquo;Differential Logic and Dynamic Systems&amp;amp;rdquo;]&lt;br /&gt;
&lt;br /&gt;
==Document history==&lt;br /&gt;
&lt;br /&gt;
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.&lt;br /&gt;
&lt;br /&gt;
{{col-begin}}&lt;br /&gt;
{{col-break}}&lt;br /&gt;
* [http://mywikibiz.com/Relation_construction Relation Construction], [http://mywikibiz.com/ MyWikiBiz]&lt;br /&gt;
* [http://mathweb.org/wiki/Relation_construction Relation Construction], [http://mathweb.org/wiki/ MathWeb Wiki]&lt;br /&gt;
* [http://netknowledge.org/wiki/Relation_construction Relation Construction], [http://netknowledge.org/ NetKnowledge]&lt;br /&gt;
* [http://wiki.oercommons.org/mediawiki/index.php/Relation_construction Relation Construction], [http://wiki.oercommons.org/ OER Commons]&lt;br /&gt;
* [http://p2pfoundation.net/Relation_Construction Relation Construction], [http://p2pfoundation.net/ P2P Foundation]&lt;br /&gt;
{{col-break}}&lt;br /&gt;
* [http://semanticweb.org/wiki/Relation_construction Relation Construction], [http://semanticweb.org/ Semantic Web]&lt;br /&gt;
* [http://planetmath.org/encyclopedia/RelationConstruction.html Relation Construction], [http://planetmath.org/ PlanetMath]&lt;br /&gt;
* [http://getwiki.net/-Relational_Construction Relation Construction], [http://getwiki.net/ GetWiki]&lt;br /&gt;
* [http://wikinfo.org/index.php/Relation_construction Relation Construction], [http://wikinfo.org/ Wikinfo]&lt;br /&gt;
* [http://en.wikipedia.org/w/index.php?title=Relation_construction&amp;amp;oldid=39070184 Relation Construction], [http://en.wikipedia.org/ Wikipedia]&lt;br /&gt;
{{col-end}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Inquiry]]&lt;br /&gt;
[[Category:Open Educational Resource]]&lt;br /&gt;
[[Category:Peer Educational Resource]]&lt;br /&gt;
[[Category:Combinatorics]]&lt;br /&gt;
[[Category:Computer Science]]&lt;br /&gt;
[[Category:Database Theory]]&lt;br /&gt;
[[Category:Discrete Mathematics]]&lt;br /&gt;
[[Category:Formal Sciences]]&lt;br /&gt;
[[Category:Logic]]&lt;br /&gt;
[[Category:Mathematics]]&lt;br /&gt;
[[Category:Relation Theory]]&lt;br /&gt;
[[Category:Set Theory]]&lt;/div&gt;</summary>
		<author><name>Jon Awbrey</name></author>
	</entry>
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