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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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 - 1978 - Princeton University Press.
Boolean-Valued Models and Independence Proofs in Set Theory.J. L. Bell & Dana Scott - 1981 - Journal of Symbolic Logic 46 (1):165-165.

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Citations of this work BETA
The Three Arrows of Zeno.Craig Harrison - 1996 - Synthese 107 (2):271 - 292.

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