Difference between revisions of "Logic of relatives"

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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 '''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.
  
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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)]].
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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 1870 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]]”.
  
 
==See also==
 
==See also==
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* [[Logic of Relatives (1870)]]
 
* [[Logic of Relatives (1870)]]
 
* [[Logic of Relatives (1883)]]
 
* [[Logic of Relatives (1883)]]
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* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Peirce's_1870_Logic_Of_Relatives Notes on Peirce's 1870 Logic Of Relatives]
 
  
 
==References==
 
==References==
  
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* [[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.
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* [[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.
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* [http://intersci.ss.uci.edu/wiki/index.php/Peirce%27s_1870_Logic_Of_Relatives Awbrey, J.L., “Peirce's 1870 Logic of Relatives”]
  
 
==Bibliography==
 
==Bibliography==
  
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* [[Aristotle]], “[[The Categories]]”, [[Harold P. Cooke]] (trans.), pp. 1–109 in ''Aristotle, Vol. 1'', [[Loeb Classical Library]], [[William Heinemann]], London, UK, 1938.
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* Aristotle, “The Categories”, Harold P. Cooke (trans.), pp. 1–109 in ''Aristotle, Volume 1'', Loeb Classical Library, William Heinemann, London, UK, 1938.
  
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* Aristotle, “[[On Interpretation]]”, [[Harold P. Cooke]] (trans.), pp. 111–179 in ''Aristotle, Vol. 1'', [[Loeb Classical Library]], [[William Heinemann]], London, UK, 1938.
+
* Aristotle, “On Interpretation”, Harold P. Cooke (trans.), pp. 111–179 in ''Aristotle, Volume 1'', Loeb Classical Library, William Heinemann, London, UK, 1938.
  
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* Aristotle, “[[Prior Analytics]]”, [[Hugh Tredennick]] (trans.), pp. 181–531 in ''Aristotle, Vol. 1'', [[Loeb Classical Library]], William Heinemann, London, UK, 1938.  
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* Aristotle, “Prior Analytics”, Hugh Tredennick (trans.), pp. 181–531 in ''Aristotle, Volume 1'', Loeb Classical Library, William Heinemann, London, UK, 1938.  
  
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* [[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.
+
* Boole, George, ''An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities'', Macmillan Publishers, 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.
 
* 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., ''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.
  
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* 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.
+
* 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.
  
 
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* [[Inquiry Live]]
 
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* [http://intersci.ss.uci.edu/wiki/index.php/Logic_of_relatives Logic of Relatives @ InterSciWiki]
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* [http://mywikibiz.com/Logic_of_relatives Logic of Relatives @ MyWikiBiz]
 
* [http://mywikibiz.com/Logic_of_relatives Logic of Relatives @ MyWikiBiz]
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* [http://mathweb.org/wiki/Logic_of_relatives Logic of Relatives @ MathWeb Wiki]
 
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* [http://netknowledge.org/wiki/Logic_of_relatives Logic of Relatives @ NetKnowledge]
 
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* [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]
 
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* [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://ref.subwiki.org/wiki/Logic_of_relatives Logic of Relatives @ Subject Wikis]
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* [http://en.wikiversity.org/wiki/Logic_of_relatives Logic of Relatives @ Wikiversity]
 
* [http://beta.wikiversity.org/wiki/Logic_of_relatives Logic of Relatives @ Wikiversity Beta]
 
* [http://beta.wikiversity.org/wiki/Logic_of_relatives Logic of Relatives @ Wikiversity Beta]
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===Logical operators===
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* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Semiotic_Information Jon Awbrey, “Semiotic Information”]
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* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Introduction_to_Inquiry_Driven_Systems Jon Awbrey, “Introduction To Inquiry Driven Systems”]
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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://mywikibiz.com/Directory:Jon_Awbrey/Essays/Prospects_For_Inquiry_Driven_Systems Jon Awbrey, “Prospects For Inquiry Driven Systems”]
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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, “Inquiry Driven Systems : Inquiry Into Inquiry”]
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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://mywikibiz.com/Directory:Jon_Awbrey/Papers/Propositional_Equation_Reasoning_Systems Jon Awbrey, “Propositional Equation Reasoning Systems”]
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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, “Differential Logic : Introduction”]
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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://planetmath.org/encyclopedia/DifferentialPropositionalCalculus.html Jon Awbrey, “Differential Propositional Calculus”]
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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, “Differential Logic and Dynamic Systems”]
 
  
 
==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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* [http://intersci.ss.uci.edu/wiki/index.php/Logic_of_relatives Logic of Relatives], [http://intersci.ss.uci.edu/ InterSciWiki]
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* [http://mywikibiz.com/Logic_of_relatives Logic of Relatives], [http://mywikibiz.com/ MyWikiBiz]
 
* [http://mywikibiz.com/Logic_of_relatives Logic of Relatives], [http://mywikibiz.com/ MyWikiBiz]
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* [http://mathweb.org/wiki/Logic_of_relatives Logic of Relatives], [http://mathweb.org/wiki/ MathWeb Wiki]
 
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* [http://netknowledge.org/wiki/Logic_of_relatives Logic of Relatives], [http://netknowledge.org/ NetKnowledge]
 
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* [http://wiki.oercommons.org/mediawiki/index.php/Logic_of_relatives Logic of Relatives], [http://wiki.oercommons.org/ OER Commons]
 
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* [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]
 
* [http://semanticweb.org/wiki/Logic_of_Relatives Logic of Relatives], [http://semanticweb.org/ Semantic Web]
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* [http://wikinfo.org/w/index.php/Logic_of_relatives Logic of Relatives], [http://wikinfo.org/w/ Wikinfo]
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* [http://en.wikiversity.org/wiki/Logic_of_relatives Logic of Relatives], [http://en.wikiversity.org/ Wikiversity]
 
* [http://beta.wikiversity.org/wiki/Logic_of_relatives Logic of Relatives], [http://beta.wikiversity.org/ Wikiversity Beta]
 
* [http://beta.wikiversity.org/wiki/Logic_of_relatives Logic of Relatives], [http://beta.wikiversity.org/ Wikiversity Beta]
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* [http://knol.google.com/k/jon-awbrey/logic-of-relatives/3fkwvf69kridz/5 Logic of Relatives], [http://knol.google.com/ Google Knol]
 
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* [http://getwiki.net/-Logic_of_Relatives Logic of Relatives], [http://getwiki.net/ GetWiki]
 
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* [http://wikinfo.org/index.php/Logic_of_relatives Logic of Relatives], [http://wikinfo.org/ Wikinfo]
 
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* [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]
 
* [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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Latest revision as of 22:48, 10 November 2015

☞ This page belongs to resource collections on Logic and Inquiry.

The logic of relatives, more precisely, the logic of relative terms, is the study of relations 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 terms has its roots in antiquity, but it entered a radically new phase of development with the work of Charles Sanders Peirce, beginning with his 1870 paper “Description of a Notation for the Logic of Relatives, Resulting from an Amplification of the Conceptions of Boole's Calculus of Logic”.

See also

References

  • 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, Volume 1, Loeb Classical Library, William Heinemann, London, UK, 1938.
  • Aristotle, “On Interpretation”, Harold P. Cooke (trans.), pp. 111–179 in Aristotle, Volume 1, Loeb Classical Library, William Heinemann, London, UK, 1938.
  • Aristotle, “Prior Analytics”, Hugh Tredennick (trans.), pp. 181–531 in Aristotle, Volume 1, Loeb Classical Library, William Heinemann, London, UK, 1938.
  • Boole, George, An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities, Macmillan Publishers, 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

Peer nodes

Logical operators

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Related topics

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Relational concepts

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Information, Inquiry

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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.

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