Synthese 191 (3) (2014)
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| 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
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| 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
Word and Object.Willard Van Orman Quine, Patricia Smith Churchland & Dagfinn Føllesdal - 2013 - MIT Press.
View all 41 references / Add more references
Citations of this work BETA
Mathematical Explanation by Law.Sam Baron - 2019 - British Journal for the Philosophy of Science 70 (3):683-717.
A Counterfactual Approach to Explanation in Mathematics.Sam Baron, Mark Colyvan & David Ripley - 2020 - Philosophia Mathematica 28 (1):1-34.
Indispensability Arguments in the Philosophy of Mathematics.Mark Colyvan - 2008 - Stanford Encyclopedia of Philosophy.
View all 19 citations / Add more citations
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