Mathematical explanation and indispensability

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Published Jun 20, 2018
Susan Vineberg

Abstract

This paper discusses Baker's Enhanced Indispensability Argument (EIA) for mathematical realism on the basis of the indispensable role mathematics plays in scientific explanations of physical facts, along with various responses to it. I argue that there is an analogue of causal explanation for mathematics which, of several basic types of explanation, holds the most promise for use in the EIA. I consider a plausible case where mathematics plays an explanatory role in this sense, but argue that such use still does not support realism about mathematical objects.

How to Cite

Vineberg, S. (2018). Mathematical explanation and indispensability. THEORIA. An International Journal for Theory, History and Foundations of Science, 33(2), 233–247. https://doi.org/10.1387/theoria.17615
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Keywords

Explanation, Indispensability Argument

Section
MONOGRAPHIC SECTION