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On the Explanatory Role of Mathematics in Empirical Science

by: Robert W. Batterman
The British Journal for the Philosophy of Science, Vol. 61, No. 1. (01 March 2010), pp. 1-25, doi:10.1093/bjps/axp018  Key: citeulike:4888351

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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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