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New page

<font size="3">☞</font> This page belongs to resource collections on [[Logic Live|Logic]] and [[Inquiry Live|Inquiry]].

The '''logic of relatives''', more precisely, the '''logic of relative terms''', is the study of [[relation (mathematics)|relation]]s as represented in symbolic forms known as ''rhemes'', ''rhemata'', or ''relative terms''. The treatment of relations by way of their corresponding relative terms affords a distinctive perspective on the subject, even though all angles of approach must ultimately converge on the same formal subject matter.

The consideration of ''[[relative term]]s'' has its roots in antiquity, but it entered a radically new phase of development with the work of [[Charles Sanders Peirce]], beginning with his paper [[Logic of Relatives (1870)|"Description of a Notation for the Logic of Relatives, Resulting from an Amplification of the Conceptions of Boole's Calculus of Logic" (1870)]].

==See also==

* [[Logic of Relatives (1870)]]
* [[Logic of Relatives (1883)]]
* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Peirce's_1870_Logic_Of_Relatives Notes on Peirce's 1870 Logic Of Relatives]

==References==

* [[Charles Sanders Peirce|Peirce, C.S.]], "Description of a Notation for the Logic of Relatives, Resulting from an Amplification of the Conceptions of Boole's Calculus of Logic", ''Memoirs of the American Academy of Arts and Sciences'' 9, 317–378, 1870. Reprinted, ''Collected Papers'' CP 3.45–149, ''Chronological Edition'' CE 2, 359–429.

==Bibliography==

* [[Aristotle]], "[[The Categories]]", [[Harold P. Cooke]] (trans.), pp. 1–109 in ''Aristotle, Vol. 1'', [[Loeb Classical Library]], [[William Heinemann]], London, UK, 1938.

* Aristotle, "[[On Interpretation]]", [[Harold P. Cooke]] (trans.), pp. 111–179 in ''Aristotle, Vol. 1'', [[Loeb Classical Library]], [[William Heinemann]], London, UK, 1938.

* Aristotle, "[[Prior Analytics]]", [[Hugh Tredennick]] (trans.), pp. 181–531 in ''Aristotle, Vol. 1'', [[Loeb Classical Library]], William Heinemann, London, UK, 1938.

* [[George Boole|Boole, George]], ''An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities'', [[Macmillan Publishers|Macmillan]], 1854. Reprinted with corrections, [[Dover Publications]], New York, NY, 1958.

* Maddux, Roger D., ''Relation Algebras'', vol. 150 in 'Studies in Logic and the Foundations of Mathematics', Elsevier Science, 2006.

* Peirce, C.S., ''Collected Papers of Charles Sanders Peirce'', vols. 1–6, [[Charles Hartshorne]] and [[Paul Weiss]] (eds.), vols. 7–8, [[Arthur W. Burks]] (ed.), Harvard University Press, Cambridge, MA, 1931–1935, 1958. Cited as CP volume.paragraph.

* Peirce, C.S., ''Writings of Charles S. Peirce : A Chronological Edition, Volume 2, 1867–1871'', Peirce Edition Project (eds.), Indiana University Press, Bloomington, IN, 1984. Cited as CE 2.

==Syllabus==

===Focal nodes===

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* [[Inquiry Live]]
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* [[Logic Live]]
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===Peer nodes===

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* [http://mywikibiz.com/Logic_of_relatives Logic of Relatives @ MyWikiBiz]
* [http://mathweb.org/wiki/Logic_of_relatives Logic of Relatives @ MathWeb Wiki]
* [http://netknowledge.org/wiki/Logic_of_relatives Logic of Relatives @ NetKnowledge]
* [http://wiki.oercommons.org/mediawiki/index.php/Logic_of_relatives Logic of Relatives @ OER Commons]
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* [http://p2pfoundation.net/Logic_of_Relatives Logic of Relatives @ P2P Foundation]
* [http://semanticweb.org/wiki/Logic_of_relatives Logic of Relatives @ SemanticWeb]
* [http://ref.subwiki.org/wiki/Logic_of_relatives Logic of Relatives @ Subject Wikis]
* [http://beta.wikiversity.org/wiki/Logic_of_relatives Logic of Relatives @ Wikiversity Beta]
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===Logical operators===

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* [[Exclusive disjunction]]
* [[Logical conjunction]]
* [[Logical disjunction]]
* [[Logical equality]]
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* [[Logical implication]]
* [[Logical NAND]]
* [[Logical NNOR]]
* [[Logical negation|Negation]]
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===Related topics===

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* [[Ampheck]]
* [[Boolean domain]]
* [[Boolean function]]
* [[Boolean-valued function]]
* [[Differential logic]]
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* [[Logical graph]]
* [[Minimal negation operator]]
* [[Multigrade operator]]
* [[Parametric operator]]
* [[Peirce's law]]
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* [[Propositional calculus]]
* [[Sole sufficient operator]]
* [[Truth table]]
* [[Universe of discourse]]
* [[Zeroth order logic]]
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===Relational concepts===

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* [[Continuous predicate]]
* [[Hypostatic abstraction]]
* [[Logic of relatives]]
* [[Logical matrix]]
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* [[Relation (mathematics)|Relation]]
* [[Relation composition]]
* [[Relation construction]]
* [[Relation reduction]]
{{col-break}}
* [[Relation theory]]
* [[Relative term]]
* [[Sign relation]]
* [[Triadic relation]]
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===Information, Inquiry===

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{{col-break}}
* [[Inquiry]]
* [[Dynamics of inquiry]]
{{col-break}}
* [[Semeiotic]]
* [[Logic of information]]
{{col-break}}
* [[Descriptive science]]
* [[Normative science]]
{{col-break}}
* [[Pragmatic maxim]]
* [[Truth theory]]
{{col-end}}

===Related articles===

* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Semiotic_Information Jon Awbrey, “Semiotic Information”]

* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Introduction_to_Inquiry_Driven_Systems Jon Awbrey, “Introduction To Inquiry Driven Systems”]

* [http://mywikibiz.com/Directory:Jon_Awbrey/Essays/Prospects_For_Inquiry_Driven_Systems Jon Awbrey, “Prospects For Inquiry Driven Systems”]

* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Inquiry_Driven_Systems Jon Awbrey, “Inquiry Driven Systems : Inquiry Into Inquiry”]

* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Propositional_Equation_Reasoning_Systems Jon Awbrey, “Propositional Equation Reasoning Systems”]

* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Differential_Logic_:_Introduction Jon Awbrey, “Differential Logic : Introduction”]

* [http://planetmath.org/encyclopedia/DifferentialPropositionalCalculus.html Jon Awbrey, “Differential Propositional Calculus”]

* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Differential_Logic_and_Dynamic_Systems_2.0 Jon Awbrey, “Differential Logic and Dynamic Systems”]

==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.

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* [http://mywikibiz.com/Logic_of_relatives Logic of Relatives], [http://mywikibiz.com/ MyWikiBiz]
* [http://mathweb.org/wiki/Logic_of_relatives Logic of Relatives], [http://mathweb.org/wiki/ MathWeb Wiki]
* [http://netknowledge.org/wiki/Logic_of_relatives Logic of Relatives], [http://netknowledge.org/ NetKnowledge]
* [http://wiki.oercommons.org/mediawiki/index.php/Logic_of_relatives Logic of Relatives], [http://wiki.oercommons.org/ OER Commons]
* [http://p2pfoundation.net/Logic_of_Relatives Logic of Relatives], [http://p2pfoundation.net/ P2P Foundation]
* [http://semanticweb.org/wiki/Logic_of_Relatives Logic of Relatives], [http://semanticweb.org/ Semantic Web]
{{col-break}}
* [http://beta.wikiversity.org/wiki/Logic_of_relatives Logic of Relatives], [http://beta.wikiversity.org/ Wikiversity Beta]
* [http://knol.google.com/k/jon-awbrey/logic-of-relatives/3fkwvf69kridz/5 Logic of Relatives], [http://knol.google.com/ Google Knol]
* [http://getwiki.net/-Logic_of_Relatives Logic of Relatives], [http://getwiki.net/ GetWiki]
* [http://wikinfo.org/index.php/Logic_of_relatives Logic of Relatives], [http://wikinfo.org/ Wikinfo]
* [http://textop.org/wiki/index.php?title=Logic_of_relatives Logic of Relatives], [http://textop.org/wiki/ Textop Wiki]
* [http://en.wikipedia.org/w/index.php?title=Logic_of_relatives&oldid=43501411 Logic of Relatives], [http://en.wikipedia.org/ Wikipedia]
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[[Category:EN]]
[[Category:Inquiry]]
[[Category:Open Educational Resource]]
[[Category:Peer Educational Resource]]
[[Category:Formal Languages]]
[[Category:Formal Sciences]]
[[Category:Formal Systems]]
[[Category:Inquiry]]
[[Category:Linguistics]]
[[Category:Logic]]
[[Category:Mathematics]]
[[Category:Science]]
[[Category:Semiotics]]
[[Category:Philosophy]]

Logic of relatives - Revision history

Jon Awbrey: update

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