Structuralism and the Applicability of Mathematics
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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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Structuralism, Philosophy of applied mathematics, Phenomenology of mathematics, Ontology of mathematics, Epistemology of mathematics
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Inglês
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Axiomathes. New York: Springer, v. 20, n. 2-3, p. 229-253, 2010.
