In defence of indispensability
Philosophia Mathematica 6 (1):39-62 (1998)
| Abstract | Indispensability arguments for realism about mathematical entities have come under serious attack in recent years. To my mind the most profound attack has come from Penelope Maddy, who argues that scientific/mathematical practice doesn't support the key premise of the indispensability argument, that is, that we ought to have ontological commitment to those entities that are indispensable to our best scientific theories. In this paper I defend the Quine/Putnam indispensability argument against Maddy's objections. | |||||||||
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David Liggins (2008). Quine, Putnam, and the 'Quine-Putnam' Indispensability Argument. Erkenntnis 68 (1):113 - 127.
Patrick S. Dieveney (2007). Dispensability in the Indispensability Argument. Synthese 157 (1):105 - 128.
Mary Leng (2002). What's Wrong with Indispensability? Synthese 131 (3):395 - 417.
Mark Colyvan (1999). Confirmation Theory and Indispensability. Philosophical Studies 96 (1):1-19.
Mark Colyvan (1999). Contrastive Empiricism and Indispensability. Erkenntnis 51 (2-3):323-332.
Mark Colyvan (2003). The Indispensability of Mathematics. Oxford University Press on Demand.
Michael Resnik (1995). Scientific Vs. Mathematical Realism: The Indispensability Argument. Philosophia Mathematica 3 (2):166-174.
Lieven Decock (2002). Quine's Weak and Strong Indispensability Argument. Journal for General Philosophy of Science 33 (2):231-250.
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