Structuralism and the Applicability of Mathematics

Axiomathes 20 (2):229-253 (2010)

Abstract
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.
Keywords Philosophy   Logic   Cognitive Psychology   Linguistics   Ontology   Philosophy
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DOI 10.1007/s10516-010-9102-3
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