From absolute to local mathematics

Synthese 69 (3):409 - 426 (1986)
Abstract
In this paper (a sequel to [4]) I put forward a "local" interpretation of mathematical concepts based on notions derived from category theory. The fundamental idea is to abandon the unique absolute universe of sets central to the orthodox set-theoretic account of the foundations of mathematics, replacing it by a plurality of local mathematical frameworks - elementary toposes - defined in category-theoretic terms.
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References found in this work BETA
J. L. Bell (1977). A Course in Mathematical Logic. Sole Distributors for the U.S.A. And Canada American Elsevier Pub. Co..
J. L. Bell (1981). Category Theory and the Foundations of Mathematics. British Journal for the Philosophy of Science 32 (4):349-358.
Thoralf Skolem (1922). Some Remarks on Axiomatised Set Theory. In J. Van Heijenoort (ed.), ¸ Iteheijenoort. Harvard University Press. 290--301.

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Citations of this work BETA
J. L. Bell (1988). Infinitesimals. Synthese 75 (3):285 - 315.

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