Synthese 69 (3):409 - 426 (1986)

Authors
John L. Bell
University of Western Ontario
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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DOI 10.1007/BF00413980
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References found in this work BETA

The Unreasonable Effectiveness of Mathematics in the Natural Sciences.Eugene Wigner - 1960 - Communications in Pure and Applied Mathematics 13:1-14.
A Course in Mathematical Logic.J. L. Bell - 1977 - Sole Distributors for the U.S.A. And Canada American Elsevier Pub. Co..
Two Applications of Logic to Mathematics.Gaisi Takeuti - 1955 - Princeton University Press.
A Course in Mathematical Logic.J. L. Bell & M. Machover - 1978 - British Journal for the Philosophy of Science 29 (2):207-208.

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Citations of this work BETA

Exploring Categorical Structuralism.C. Mclarty - 2004 - Philosophia Mathematica 12 (1):37-53.
The Uses and Abuses of the History of Topos Theory.Colin Mclarty - 1990 - British Journal for the Philosophy of Science 41 (3):351-375.

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