#### Title

Are There Genuine Mathematical Explanations Of Physical Phenomena?

#### Document Type

Article

#### Publication Date

4-1-2005

#### Published In

Mind

#### 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.

#### Recommended Citation

Alan Richard Baker.
(2005).
"Are There Genuine Mathematical Explanations Of Physical Phenomena?".
*Mind*.
Volume 114,
Issue 454.
223-238.

http://works.swarthmore.edu/fac-philosophy/48

## Comments

Reprinted in: (2017).

Philosophy of Mathematics.