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Mind 2005 114(454):223-238; doi:10.1093/mind/fzi223
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© Baker 2005

Are there Genuine Mathematical Explanations of Physical Phenomena?

Alan Baker

Department of Philosophy, Swarthmore College, Swarthmore PA 19081, USA abaker1{at}swarthmore.edu

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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