Mind 119 (474):285-306 (2010)

Mark Colyvan
University of Sydney
Hartry Field has shown us a way to be nominalists: we must purge our scientific theories of quantification over abstracta and we must prove the appropriate conservativeness results. This is not a path for the faint hearted. Indeed, the substantial technical difficulties facing Field's project have led some to explore other, easier options. Recently, Jody Azzouni, Joseph Melia, and Stephen Yablo have argued that it is a mistake to read our ontological commitments simply from what the quantifiers of our best scientific theories range over. In this paper, I argue that all three arguments fail and they fail for much the same reason; would-be nominalists are thus left facing Field's hard road
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DOI 10.1093/mind/fzq014
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References found in this work BETA

Theories and Things.W. V. O. Quine (ed.) - 1981 - Harvard University Press.
Empiricism, Semantics, and Ontology.Rudolf Carnap - 1950 - Revue Internationale de Philosophie 4 (11):20-40.
What Metaphors Mean.Donald Davidson - 2010 - In Darragh Byrne & Max Kölbel (eds.), Critical Inquiry. Routledge. pp. 31.

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Citations of this work BETA

Mathematical Explanations Of Empirical Facts, And Mathematical Realism.Aidan Lyon - 2012 - Australasian Journal of Philosophy 90 (3):559-578.
Indexing and Mathematical Explanation.Alan Baker & Mark Colyvan - 2011 - Philosophia Mathematica 19 (3):323-334.

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