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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)]].

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==

==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.

* [[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.

* [[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, “[[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.  

* 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.

* 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.