Synthese 190 (12):2413-2427 (2013)

Authors
Sam Baron
Australian Catholic University
Abstract
Recently, nominalists have made a case against the Quine–Putnam indispensability argument for mathematical Platonism by taking issue with Quine’s criterion of ontological commitment. In this paper I propose and defend an indispensability argument founded on an alternative criterion of ontological commitment: that advocated by David Armstrong. By defending such an argument I place the burden back onto the nominalist to defend her favourite criterion of ontological commitment and, furthermore, show that criterion cannot be used to formulate a plausible form of the indispensability argument.
Keywords Indispensability  Ontological commitment  Platonism  Nominalism  Truthmakers
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DOI 10.1007/s11229-011-9989-2
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References found in this work BETA

Two Dogmas of Empiricism.Willard V. O. Quine - 1951 - Philosophical Review 60 (1):20–43.
Truth and Truthmakers.D. M. Armstrong - 2004 - Cambridge University Press.
From an Ontological Point of View.John Heil - 2003 - Oxford University Press.

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Citations of this work BETA

We Don’T Need No Explanation.Jamin Asay - 2018 - Philosophical Studies 175 (4):903-921.
Much Ado About Aboutness.Sam Baron, Reginald Mary Chua, Kristie Miller & James Norton - 2019 - Inquiry: An Interdisciplinary Journal of Philosophy.

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