Baron, S. (2014). Optimisation and mathematical explanation: Doing the Lévy Walk. Synthese,191(3), 459-479. Netherlands: Kluwer Academic Publishers. Retrieved from https://doi.org/10.1007/s11229-013-0284-2
The indispensability argument seeks to establish the existence of mathematical objects. The success of the indispensability argument turns on finding cases of genuine extra-mathematical explanation (the explanation of physical facts by mathematical facts). In this paper, I identify a new case of extra-mathematical explanation, involving the search patterns of fully-aquatic marine predators. I go on to use this case to predict the prevalence of extra-mathematical explanation in science.
Dianoia Institute of Philosophy
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