Proceedings of the XXII World Congress of Philosophy

Volume 41, 2008

Philosophy of Mathematics

Andrei Rodin
Pages 37-40

Category Theory and Mathematical Structuralism

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.