Mathematical explanation and indispensability arguments

Philosophical Quarterly 59 (237):641-658 (2009)
Abstract
We defend Joseph Melia's thesis that the role of mathematics in scientific theory is to 'index' quantities, and that even if mathematics is indispensable to scientific explanations of concrete phenomena, it does not explain any of those phenomena. This thesis is defended against objections by Mark Colyvan and Alan Baker.
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DOI 10.1111/j.1467-9213.2008.601.x
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Mathematical Explanations Of Empirical Facts, And Mathematical Realism.Aidan Lyon - 2012 - Australasian Journal of Philosophy 90 (3):559-578.
Indispensability and Explanation.Sorin Bangu - 2013 - British Journal for the Philosophy of Science 64 (2):255-277.
Mathematics and Program Explanations.Juha Saatsi - 2012 - Australasian Journal of Philosophy 90 (3):579-584.

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