Philosophia Mathematica 4 (3):209-237 (1996)

Authors
Steve Awodey
Carnegie Mellon University
Abstract
A precise notion of ‘mathematical structure’ other than that given by model theory may prove fruitful in the philosophy of mathematics. It is shown how the language and methods of category theory provide such a notion, having developed out of a structural approach in modern mathematical practice. As an example, it is then shown how the categorical notion of a topos provides a characterization of ‘logical structure’, and an alternative to the Pregean approach to logic which is continuous with the modern structural approach in mathematics
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DOI 10.1093/philmat/4.3.209
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References found in this work BETA

Principia Mathematica.A. N. Whitehead & B. Russell - 1927 - Erkenntnis 2 (1):73-75.

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Citations of this work BETA

What Are Structural Properties?†.Johannes Korbmacher & Georg Schiemer - 2018 - Philosophia Mathematica 26 (3):295-323.
Structuralism, Invariance, and Univalence.Steve Awodey - 2014 - Philosophia Mathematica 22 (1):1-11.

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