Synthese 191 (3) (2014)

Authors
Sam Baron
Australian Catholic University
Abstract
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. 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
Keywords Explanation  Indispensability  Lévy  Optimisation  Mathematics  Platonism  Nominalism
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Reprint years 2014
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DOI 10.1007/s11229-013-0284-2
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References found in this work BETA

Two Dogmas of Empiricism.Willard V. O. Quine - 1951 - Philosophical Review 60 (1):20–43.
The Indispensability of Mathematics.Mark Colyvan - 2001 - Oxford University Press.

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Citations of this work BETA

The End of Mystery.Sam Baron & Mark Colyvan - 2019 - American Philosophical Quarterly 56 (3):247-264.
Mathematical Spandrels.Alan Baker - 2017 - Australasian Journal of Philosophy 95 (4):779-793.
Mathematical Explanation by Law.Sam Baron - 2019 - British Journal for the Philosophy of Science 70 (3):683-717.

View all 15 citations / Add more citations

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