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. (= CP)
★ 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. (= CE 2)
See also
External links