Mathematical explanation and indispensability

Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 33 (2):233-247 (2018)
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Abstract

This paper discusses Baker’s Enhanced Indispensability Argument 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.

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Mathematical explanation and indispensability.Vineberg Susan - 2018 - Theoria : An International Journal for Theory, History and Fundations of Science 33 (2):233-247.
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Susan Vineberg
Wayne State University

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