Troubles with indispensability: Applying pure mathematics in physical theoryt

Philosophia Mathematica 5 (3):210-227 (1997)
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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Anthony Peressini (2008). Confirmational Holism and its Mathematical (W)Holes. Studies in History and Philosophy of Science Part A 39 (1):102-111.

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