Troubles with indispensability: Applying Pure Mathematics in Physical Theory

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

Authors
Anthony F. Peressini
Marquette University
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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DOI 10.1093/philmat/5.3.210
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References found in this work BETA

What Numbers Could Not Be.Paul Benacerraf - 1965 - Philosophical Review 74 (1):47-73.
Science Without Numbers.Hartry H. Field - 1983 - Noûs 17 (3):514-519.
Indispensability and Practice.Penelope Maddy - 1992 - Journal of Philosophy 89 (6):275.
Science Without Numbers.Hartry H. Field - 1982 - Synthese 51 (2):283-291.

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