Structuralism and the Applicability of Mathematics

Axiomathes 20 (2-3):229-253 (2010)
Authors
Jairo Da Silva
University of São Paulo
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 Structuralism  Philosophy of applied mathematics  Phenomenology of mathematics  Ontology of mathematics  Epistemology of mathematics
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DOI 10.1007/s10516-010-9102-3
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Ideas: General Introdution to Pure Phenomenology.Edmund Husserl - 1931 - New York: the Macmillan Company.

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