Category Theory and Mathematical Structuralism

Proceedings of the Xxii World Congress of Philosophy 41:37-40 (2008)
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Abstract

Category theory doesn't support Mathematical Structuralism but suggests a new philosophical view on mathematics, which differs both from Structuralism and from traditional Substantialism about mathematical objects. While Structuralism implies thinking of mathematical objects up to isomorphism the new categorical view implies thinking up to general morphism.

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Andrei Rodin
Russian Academy of Sciences

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