Troubles with indispensability: Applying pure mathematics in physical theoryt
Philosophia Mathematica 5 (3):210-227 (1997)
| 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 Peressini (1999). Confirming Mathematical Theories: An Ontologically Agnostic Stance. Synthese 118 (2):257-277.
Richard Pettigrew (forthcoming). Indispensability Arguments and Instrumental Nominalism. Review of Symbolic Logic.
Susan Vineberg (1996). Confirmation and the Indispensability of Mathematics to Science. Philosophy of Science 63 (3):263.
Mark Colyvan (2003). The Indispensability of Mathematics. Oxford University Press on Demand.
Otávio Bueno (2010). Quine's Double Standard: Undermining the Indispensability Argument Via the Indeterminacy of Reference. Principia 7 (1-2):17-39.
Chris Pincock (2007). A Role for Mathematics in the Physical Sciences. Noûs 41 (2):253 - 275.
Lieven Decock (2002). Quine's Weak and Strong Indispensability Argument. Journal for General Philosophy of Science 33 (2):231-250.
David Liggins (2008). Quine, Putnam, and the 'Quine-Putnam' Indispensability Argument. Erkenntnis 68 (1):113 - 127.
Anthony Peressini (1999). Applying Pure Mathematics. Philosophy of Science 66 (3):13.
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