Batterman, Robert (2008) On the Explanatory Role of Mathematics in Empirical Science. [Preprint]

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Abstract

This paper examines contemporary attempts to explicate the explanatory role of mathematics in the physical sciences. Most such approaches involve developing so-called mapping accounts of the relationships between the physical world and mathematical structures. The paper argues that the use of idealizations in physical theorizing poses serious difficulties for such mapping accounts. A new approach to the applicability of mathematics is proposed.

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Item Type:	Preprint
Creators:	Creators Email ORCID Batterman, Robert
Keywords:	Mathematics, explanation, physics, applicability, Limits, Idealizations
Subjects:	Specific Sciences > Mathematics > Explanation Specific Sciences > Mathematics General Issues > Models and Idealization Specific Sciences > Physics
Depositing User:	rbatterm rbatterm rbatterm
Date Deposited:	18 Jul 2008
Last Modified:	07 May 2017 16:31
Item ID:	4115
Subjects:	Specific Sciences > Mathematics > Explanation Specific Sciences > Mathematics General Issues > Models and Idealization Specific Sciences > Physics
Date:	July 2008
URI:	https://philsci-archive.pitt.edu/id/eprint/4115

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