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Theoria. Revista de Teoría, Historia y Fundamentos de la Ciencia

Volume 4, Issue 1, Octubre/Enero 1988/1989

Jean-Louis Gardies
Pages 55-79

La définition de I’identite d’Aristote à Zermelo

This paper sketches a history of definition of identity from the Aristotle’s Topics down to the modern set theory. The author tries to explain particularly: first, how the transformation of the concept of predicate at the end of the nineteenth century made it necessary to revise the leibnitian definition of the identity of individuals; secondly, why Dedekind, Peano, Schröder, etc. made, between two possible definitions of identity of predicates or of sets, a choice which later made it necessary to postulate in set theory the axiom of extensionality.

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