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.
  
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 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==
 
==See also==
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==References==
 
==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.
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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.
  
 
==Bibliography==
 
==Bibliography==
  
* [[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, 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.
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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, "[[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, 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.
 
* [[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.
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* 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.

Revision as of 12:38, 25 August 2010

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 paper “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

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

  • Boole, George, An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities, 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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Peer nodes

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Logical operators

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Relational concepts

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Information, Inquiry

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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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