Fictionalism, theft, and the story of mathematics

Philosophia Mathematica 17 (2):131-162 (2008)
Abstract
This paper develops a novel version of mathematical fictionalism and defends it against three objections or worries, viz., (i) an objection based on the fact that there are obvious disanalogies between mathematics and fiction; (ii) a worry about whether fictionalism is consistent with the fact that certain mathematical sentences are objectively correct whereas others are incorrect; and (iii) a recent objection due to John Burgess concerning “hermeneuticism” and “revolutionism”
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DOI 10.1093/philmat/nkn019
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References found in this work BETA
Go Figure: A Path Through Fictionalism.Stephen Yablo - 2001 - Midwest Studies in Philosophy 25 (1):72–102.
Models and Reality.Hilary Putnam - 1980 - Journal of Symbolic Logic 45 (3):464-482.
Mathematics and Bleak House.John P. Burgess - 2004 - Philosophia Mathematica 12 (1):18-36.
Conservativeness and Incompleteness.Stewart Shapiro - 1983 - Journal of Philosophy 80 (9):521-531.

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Citations of this work BETA
Deferentialism.Chris Daly & David Liggins - 2011 - Philosophical Studies 156 (3):321-337.
Fictionalism in Metaphysics.Frederick Kroon - 2011 - Philosophy Compass 6 (11):786-803.
Fictionalism.E. C. Bourne - 2013 - Analysis 73 (1):147-162.

View all 12 citations / Add more citations

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Understanding and Mathematical Fictionalism.B. Armour-Garb - 2011 - Philosophia Mathematica 19 (3):335-344.
Fictionalism and the Attitudes.Chris John Daly - 2008 - Philosophical Studies 139 (3):423 - 440.

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