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Reliability in Mathematical Physics

Published online by Cambridge University Press:  01 April 2022

Michael Liston
Michael Liston*
Affiliation:
Department of Philosophy, University of Wisconsin—Milwaukee
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Abstract

In this paper I argue three things: (1) that the interactionist view underlying Benacerraf's (1973) challenge to mathematical beliefs renders inexplicable the reliability of most of our beliefs in physics; (2) that examples from mathematical physics suggest that we should view reliability differently; and (3) that abstract mathematical considerations are indispensable to explanations of the reliability of our beliefs.

Type
Research Article
Information
Philosophy of Science , Volume 60 , Issue 1 , March 1993 , pp. 1 - 21
Copyright
Copyright © Philosophy of Science Association 1993

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Footnotes

†

I am indebted to many for help with this paper: to Yvon Gauthier, Henri Lauener, and Ruth Marcus for criticisms of a distant relative at the World Congress in Philosophy, Brighton, England, 1988; to ACLS for a travel grant; to my colleagues, Mark Kaplan, John Koethe, Bob Schwartz, and Julius Sensat; to Jeff King; to an anonymous referee for comments on a related paper; and especially to Mark Wilson for many suggestions.

‡

Send reprint requests to the author, Department of Philosophy, University of Wisconsin at Milwaukee, P.O. Box 413, Milwaukee, WI 53201, USA.

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