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Journal article 12 views

Unification and mathematical explanation

Rob Fraser Orcid Logo

Philosophical Studies, Volume: 178, Issue: 12, Pages: 3923 - 3943

Swansea University Author: Rob Fraser Orcid Logo

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Abstract

This paper provides a sorely-needed evaluation of the view that mathematical explanations in science explain by unifying. Illustrating with some novel examples, I argue that the view is misguided. For believers in mathematical explanations in science, my discussion rules out one way of spelling out...

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Published in: Philosophical Studies
ISSN: 0031-8116 1573-0883
Published: Springer Science and Business Media LLC 2021
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URI: https://cronfa.swan.ac.uk/Record/cronfa68390
Abstract: This paper provides a sorely-needed evaluation of the view that mathematical explanations in science explain by unifying. Illustrating with some novel examples, I argue that the view is misguided. For believers in mathematical explanations in science, my discussion rules out one way of spelling out how they work, bringing us one step closer to the right way. For non-believers, it contributes to a divide-and-conquer strategy for showing that there are no such explanations in science. My discussion also undermines the appeal to unifying power in support of the enhanced indispensability argument.
Keywords: Mathematical explanation; Unification; Explanatory power; Intuitions; Methodology
College: Faculty of Humanities and Social Sciences
Funders: British Academy
Issue: 12
Start Page: 3923
End Page: 3943