Logic of relatives

The logic of relatives, short for the logic of relative terms, is the study of relations 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 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).

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, 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.

• 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.

See also

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• Arity
• Binary relation
• Category theory
• Database
• Logic of Relatives (1870)
• Logic of Relatives (1883)
• Operation

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• Operator
• Predicate
• Property
• Proposition
• Relation
• Relational algebra
• Relational database

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• Relational model
• Relative term
• Rheme
• Role
• Relation theory
• Triadic relation
• Universal algebra

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