Are there genuine mathematical explanations of physical phenomena?
Mind 114 (454):223-238 (2005)
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| Abstract |
Many explanations in science make use of mathematics. But are there cases where the mathematical component of a scientific explanation is explanatory in its own right? This issue of mathematical explanations in science has been for the most part neglected. I argue that there are genuine mathematical explanations in science, and present in some detail an example of such an explanation, taken from evolutionary biology, involving periodical cicadas. I also indicate how the answer to my title question impacts on broader issues in the philosophy of mathematics; in particular it may help platonists respond to a recent challenge by Joseph Melia concerning the force of the Indispensability Argument.
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| DOI | 10.1093/mind/fzi223 |
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On the Explanatory Role of Mathematics in Empirical Science.Robert Batterman - 2010 - British Journal for the Philosophy of Science 61 (1):1-25.
An Inferential Conception of the Application of Mathematics.Otávio Bueno & Mark Colyvan - 2011 - Noûs 45 (2):345-374.
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