Taking mathematical fictions seriously

Synthese 95 (3):433 - 458 (1993)
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Abstract

I argue on the basis of an example, Fourier theory applied to the problem of vibration, that Field's program for nominalizing science is unlikely to succeed generally, since no nominalistic variant will provide us with the kind of physical insight into the phenomena that the standard theory supplies. Consideration of the same example also shows, I argue, that some of the motivation for mathematical fictionalism, particularly the alleged problem of cognitive access, is more apparent than real.

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Michael Liston
University of Wisconsin, Milwaukee

Citations of this work

How to make reflectance a surface property.Nicholas Danne - 2020 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 70:19-27.
Mathematics and fiction II: Analogy.Robert Thomas - 2002 - Logique Et Analyse 45:185-228.

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References found in this work

Science Without Numbers: A Defence of Nominalism.Hartry H. Field - 1980 - Princeton, NJ, USA: Princeton University Press.
Realism, Mathematics & Modality.Hartry H. Field - 1989 - New York, NY, USA: Blackwell.
Realism in mathematics.Penelope Maddy - 1990 - New York: Oxford University Prress.
Mathematical truth.Paul Benacerraf - 1973 - Journal of Philosophy 70 (19):661-679.

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