Philosophia Mathematica 4 (3):209-237 (1996)
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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Structuralism, Invariance, and Univalence.Steve Awodey - 2013 - Philosophia Mathematica 22 (1):nkt030.
Does Homotopy Type Theory Provide a Foundation for Mathematics?James Ladyman & Stuart Presnell - forthcoming - British Journal for the Philosophy of Science:axw006.
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The Genetic Versus the Axiomatic Method: Responding to Feferman 1977.Elaine Landry - 2013 - Review of Symbolic Logic 6 (1):24-51.
Structuralism, Invariance, and Univalence†: Articles.Steve Awodey - 2013 - Philosophia Mathematica 22 (1):1-11.
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