Mathematical explanation and indispensability arguments

Philosophical Quarterly 59 (237):641-658 (2009)
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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Juha Saatsi (2012). Mathematics and Program Explanations. Australasian Journal of Philosophy 90 (3):579-584.

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