Philosophia Mathematica 12 (2):135-161 (2004)

Abstract
The form of nominalism known as 'mathematical fictionalism' is examined and found wanting, mainly on grounds that go back to an early antinominalist work of Rudolf Carnap that has unfortunately not been paid sufficient attention by more recent writers.
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DOI 10.1093/philmat/12.2.135
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References found in this work BETA

Science Without Numbers: A Defence of Nominalism.Hartry H. Field - 1980 - Princeton, NJ, USA: Princeton University Press.
Inquiry.Robert C. Stalnaker - 1984 - Cambridge University Press.
The Indispensability of Mathematics.Mark Colyvan - 2001 - Oxford, England: Oxford University Press.
The Nature of Mathematical Knowledge.Philip Kitcher - 1983 - Oxford, England: Oxford University Press.
Mathematics as a Science of Patterns.Michael David Resnik - 1997 - Oxford, England: New York ;Oxford University Press.

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Citations of this work BETA

Mathematical Explanation by Law.Sam Baron - 2019 - British Journal for the Philosophy of Science 70 (3):683-717.
Explaining Mathematical Explanation.Sam Baron - 2016 - Philosophical Quarterly 66 (264):458-480.
Epistemic Artifacts and the Modal Dimension of Modeling.Tarja Knuuttila - 2021 - European Journal for Philosophy of Science 11 (3):1-18.

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