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(2010) Axiomathes 20 (2-3).

Structuralism and the applicability of mathematics

Jairo José Da Silva

pp. 229-253

In this paper I argue for the view that structuralism offers the best perspective for an acceptable account of the applicability of mathematics in the empirical sciences. Structuralism, as I understand it, is the view that mathematics is not the science of a particular type of objects, but of structural properties of arbitrary domains of entities, regardless of whether they are actually existing, merely presupposed or only intentionally intended.

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Da Silva, J.J. (2010). Structuralism and the applicability of mathematics. Axiomathes 20 (2-3), pp. 229-253.

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