Relation theory - Revision history

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Jon Awbrey: Category:Charles Sanders Peirce

2011-10-29T19:22:35Z

Category:Charles Sanders Peirce

Jon Awbrey: /* Document history */ update link

2011-10-06T03:18:12Z

Document history: update link

Jon Awbrey: /* Peer nodes */ + 2

2010-06-16T18:36:03Z

Peer nodes: + 2

Jon Awbrey: /* Information, Inquiry */

2010-05-23T11:56:04Z

Information, Inquiry

@@ Line 324: / Line 324: @@
 * [http://planetmath.org/RelationTheory Relation Theory], [http://planetmath.org/ PlanetMath]
 * [http://semanticweb.org/wiki/Relation_theory Relation Theory], [http://semanticweb.org/ Semantic Web]
-* [http://wikinfo.org/w/index.php/Relation_Theory Relation Theory], [http://wikinfo.org/w/ Wikinfo]
+* [http://wikinfo.org/w/index.php/Relation_theory Relation Theory], [http://wikinfo.org/w/ Wikinfo]
 * [http://en.wikiversity.org/wiki/Relation_theory Relation Theory], [http://en.wikiversity.org/ Wikiversity]
 * [http://beta.wikiversity.org/wiki/Relation_theory Relation Theory], [http://beta.wikiversity.org/ Wikiversity Beta]

@@ Line 221: / Line 221: @@
 * [http://mywikibiz.com/Relation_theory Relation Theory @ MyWikiBiz]
 * [http://ref.subwiki.org/wiki/Relation_theory Relation Theory @ Subject Wikis]
 * [http://beta.wikiversity.org/wiki/Relation_theory Relation Theory @ Wikiversity Beta]
 ===Logical operators===
@@ Line 325: / Line 325: @@
 * [http://semanticweb.org/wiki/Relation_theory Relation Theory], [http://semanticweb.org/ Semantic Web]
 * [http://wikinfo.org/w/index.php/Relation_Theory Relation Theory], [http://wikinfo.org/w/ Wikinfo]
 * [http://beta.wikiversity.org/wiki/Relation_theory Relation Theory], [http://beta.wikiversity.org/ Wikiversity Beta]
 * [http://en.wikipedia.org/w/index.php?title=Theory_of_relations&oldid=45042729 Relation Theory], [http://en.wikipedia.org/ Wikipedia]

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 ===Focal nodes===
 * [[Inquiry Live]]
 * [[Logic Live]]
 ===Peer nodes===
 * [http://intersci.ss.uci.edu/wiki/index.php/Relation_theory Relation Theory @ InterSciWiki]
 * [http://mywikibiz.com/Relation_theory Relation Theory @ MyWikiBiz]
-{{col-break}}
+* [http://ref.subwiki.org/wiki/Relation_theory Relation Theory @ Subject Wikis]
 * [http://beta.wikiversity.org/wiki/Relation_theory Relation Theory @ Wikiversity Beta]
-* [http://ref.subwiki.org/wiki/Relation_theory Relation Theory @ Subject Wikis]
+* [http://en.wikiversity.org/wiki/Relation_theory Relation Theory @ Wikiversity]
 ===Logical operators===
@@ Line 327: / Line 320: @@
 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_theory Relation Theory], [http://intersci.ss.uci.edu/ InterSciWiki]
 * [http://mywikibiz.com/Relation_theory Relation Theory], [http://mywikibiz.com/ MyWikiBiz]
 * [http://planetmath.org/RelationTheory Relation Theory], [http://planetmath.org/ PlanetMath]
 * [http://semanticweb.org/wiki/Relation_theory Relation Theory], [http://semanticweb.org/ Semantic Web]
 * [http://wikinfo.org/w/index.php/Relation_Theory Relation Theory], [http://wikinfo.org/w/ Wikinfo]
 * [http://en.wikipedia.org/w/index.php?title=Theory_of_relations&oldid=45042729 Relation Theory], [http://en.wikipedia.org/ Wikipedia]
 [[Category:Charles Sanders Peirce]]

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 * Carnap, Rudolf (1958), ''Introduction to Symbolic Logic with Applications'', Dover Publications, New York, NY.
 * Chang, C.C., and Keisler, H.J. (1973), ''Model Theory'', North-Holland, Amsterdam, Netherlands.
-* van Dalen, Dirk (1980), \text{Logic and Structure'', 2nd edition, Springer-Verlag, Berlin, Germany.
+* van Dalen, Dirk (1980), ''Logic and Structure'', 2nd edition, Springer-Verlag, Berlin, Germany.
 * Devlin, Keith J. (1993), ''The Joy of Sets : Fundamentals of Contemporary Set Theory'', 2nd edition, Springer-Verlag, New York, NY.
 * Halmos, Paul Richard (1960), ''Naive Set Theory'', D. Van Nostrand Company, Princeton, NJ.
@@ Line 329: / Line 329: @@
 {{col-begin}}
 {{col-break}}
 * [http://mywikibiz.com/Relation_theory Relation Theory], [http://mywikibiz.com/ MyWikiBiz]
 {{col-break}}
-* [http://p2pfoundation.net/Relation_Theory Relation Theory], [http://p2pfoundation.net/ P2P Foundation]
+* [http://planetmath.org/RelationTheory Relation Theory], [http://planetmath.org/ PlanetMath]
 * [http://semanticweb.org/wiki/Relation_theory Relation Theory], [http://semanticweb.org/ Semantic Web]
 {{col-break}}
-* [http://getwiki.net/-Theory_of_Relations Relation Theory], [http://getwiki.net/ GetWiki]
+* [http://wikinfo.org/w/index.php/Relation_Theory Relation Theory], [http://wikinfo.org/w/ Wikinfo]
 * [http://en.wikipedia.org/w/index.php?title=Theory_of_relations&oldid=45042729 Relation Theory], [http://en.wikipedia.org/ Wikipedia]
 {{col-end}}

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 Let us write <math>f = (\mathrm{obj_1}f, \mathrm{obj_2}f, \mathrm{obj_{12}}f)\!</math> to express what has been said so far.
-When it comes to parsing the notation <math>{}^{\backprime\backprime} f : X \to Y {}^{\prime\prime},\!</math> everyone takes the part <math>{}^{\backprime\backprime} X \to Y {}^{\prime\prime}\!</math> to specify the \textit{type} of the function, that is, the pair <math>(\mathrm{obj_1}f, \mathrm{obj_2}f),\!</math> but <math>{}^{\backprime\backprime} f {}^{\prime\prime}\!</math> is used equivocally to denote both the triple and the subset <math>\mathrm{obj_{12}}f\!</math> that forms one part of it.  One way to resolve the ambiguity is to formalize a distinction between a function and its \textit{graph}, letting <math>\mathrm{graph}(f) := \mathrm{obj_{12}}f.\!</math>
+When it comes to parsing the notation <math>{}^{\backprime\backprime} f : X \to Y {}^{\prime\prime},\!</math> everyone takes the part <math>{}^{\backprime\backprime} X \to Y {}^{\prime\prime}\!</math> to specify the ''type'' of the function, that is, the pair <math>(\mathrm{obj_1}f, \mathrm{obj_2}f),\!</math> but <math>{}^{\backprime\backprime} f {}^{\prime\prime}\!</math> is used equivocally to denote both the triple and the subset <math>\mathrm{obj_{12}}f\!</math> that forms one part of it.  One way to resolve the ambiguity is to formalize a distinction between a function and its ''graph'', letting <math>\mathrm{graph}(f) := \mathrm{obj_{12}}f.\!</math>
 Another tactic treats the whole notation <math>{}^{\backprime\backprime} f : X \to Y {}^{\prime\prime}\!</math> as sufficient denotation for the triple, letting <math>{}^{\backprime\backprime} f {}^{\prime\prime}\!</math> denote <math>\mathrm{graph}(f).\!</math>

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 [[Category:Open Educational Resource]]
 [[Category:Peer Educational Resource]]
 [[Category:Combinatorics]]
 [[Category:Computer Science]]

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 * [http://semanticweb.org/wiki/Relation_theory Relation Theory], [http://semanticweb.org/ Semantic Web]
 * [http://planetmath.org/encyclopedia/RelationTheory.html Relation Theory], [http://planetmath.org/ PlanetMath]
-* [http://planetphysics.org/encyclopedia/RelationTheory.html Relation Theory], [http://planetphysics.org/ PlanetPhysics]
+* [http://planetphysics.us/encyclopedia/RelationTheory.html Relation Theory], [http://planetphysics.us/ PlanetPhysics]
 {{col-break}}
 * [http://getwiki.net/-Theory_of_Relations Relation Theory], [http://getwiki.net/ GetWiki]

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 * [http://mathweb.org/wiki/Relation_theory Relation Theory @ MathWeb Wiki]
 * [http://netknowledge.org/wiki/Relation_theory Relation Theory @ NetKnowledge]
 {{col-break}}
 * [http://p2pfoundation.net/Relation_Theory Relation Theory @ P2P Foundation]
 * [http://semanticweb.org/wiki/Relation_theory Relation Theory @ SemanticWeb]
 {{col-end}}

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 {{col-break}}
 * [[Pragmatic maxim]]
-* [[Pragmatic theory of truth]]
+* [[Truth theory]]
 {{col-end}}