Confirming mathematical theories: An ontologically agnostic stance

Synthese 118 (2):257-277 (1999)
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Abstract

The Quine/Putnam indispensability approach to the confirmation of mathematical theories in recent times has been the subject of significant criticism. In this paper I explore an alternative to the Quine/Putnam indispensability approach. I begin with a van Fraassen-like distinction between accepting the adequacy of a mathematical theory and believing in the truth of a mathematical theory. Finally, I consider the problem of moving from the adequacy of a mathematical theory to its truth. I argue that the prospects for justifying this move are qualitatively worse in mathematics than they are in science.

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Anthony F. Peressini
Marquette University

References found in this work

Theory of knowledge.Roderick M. Chisholm - 1966 - Englewood Cliffs, N.J.,: Prentice-Hall.
The Scientific Image.William Demopoulos & Bas C. van Fraassen - 1982 - Philosophical Review 91 (4):603.
Realism, Mathematics & Modality.Hartry H. Field - 1989 - New York, NY, USA: Blackwell.
Realism in mathematics.Penelope Maddy - 1990 - New York: Oxford University Prress.
Naturalism in mathematics.Penelope Maddy - 1997 - New York: Oxford University Press.

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