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The '''logic of relatives''', short for the '''logic of relative terms''', is the study of [[relation (mathematics)|relation]]s in their logical, philosophical, or [[semiotic]] aspects, as distinguished from, though closely coordinated with, their more properly formal, mathematical, or objective aspects.
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)]].
==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.
==See also==
{|
| valign=top |
* [[Arity]]
* [[Binary relation]]
* [[Category theory]]
* [[Database]]
* [[Logic of Relatives (1870)]]
* [[Logic of Relatives (1883)]]
* [[Operation (mathematics)|Operation]]
| valign=top |
* [[Operator]]
* [[Predicate]]
* [[Property (philosophy)|Property]]
* [[Proposition]]
* [[Relation (mathematics)|Relation]]
* [[Relational algebra]]
* [[Relational database]]
| valign=top |
* [[Relational model]]
* [[Relative term]]
* [[Rheme]]
* [[Role]]
* [[Theory of relations]]
* [[Triadic relation]]
* [[Universal algebra]]
|}
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)]].
==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.
==See also==
{|
| valign=top |
* [[Arity]]
* [[Binary relation]]
* [[Category theory]]
* [[Database]]
* [[Logic of Relatives (1870)]]
* [[Logic of Relatives (1883)]]
* [[Operation (mathematics)|Operation]]
| valign=top |
* [[Operator]]
* [[Predicate]]
* [[Property (philosophy)|Property]]
* [[Proposition]]
* [[Relation (mathematics)|Relation]]
* [[Relational algebra]]
* [[Relational database]]
| valign=top |
* [[Relational model]]
* [[Relative term]]
* [[Rheme]]
* [[Role]]
* [[Theory of relations]]
* [[Triadic relation]]
* [[Universal algebra]]
|}
