Mathematical explanation and indispensability

Theoria : An International Journal for Theory, History and Fundations of Science 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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2018-07-25

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Susan Vineberg
Wayne State University

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References found in this work

How the laws of physics lie.Nancy Cartwright - 1983 - New York: Oxford University Press.
Science Without Numbers: A Defence of Nominalism.Hartry H. Field - 1980 - Princeton, NJ, USA: Princeton University Press.
Realism, Mathematics, and Modality.Hartry Field - 1988 - Philosophical Topics 16 (1):57-107.
On what there is.W. V. Quine - 1953 - In Willard Van Orman Quine (ed.), From a Logical Point of View. Cambridge: Harvard University Press. pp. 1-19.

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