Troubles with indispensability: Applying pure mathematics in physical theory

Philosophia Mathematica 5 (3):210-227 (1997)
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Abstract

Much of the current thought concerning mathematical ontology in volves in some way the Quine/Putnam indispensability argument. The indispensability approach needs to be more thoroughly specified, however, before substantive progress can be made in assessing it. To this end I examine in some detail the ways in which pure mathematics is applied to physical theory; such considerations give rise to three specific issues with which the indispensability approach must come to grips.

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Anthony F. Peressini
Marquette University

References found in this work

From a Logical Point of View.Willard Van Orman Quine - 1953 - Cambridge: Harvard University Press.
Science Without Numbers: A Defence of Nominalism.Hartry H. Field - 1980 - Princeton, NJ, USA: Princeton University Press.
Philosophy of Logic.Hilary Putnam - 1971 - New York, NY, USA: Routledge.
Symposium: On What there is.P. T. Geach, A. J. Ayer & W. V. Quine - 1948 - Aristotelian Society Supplementary Volume 25 (1):125-160.

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