238086

(1993) Synthese 95 (3).

Taking mathematical fictions seriously

Michael Liston

pp. 433-458

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.

Publication details

DOI: 10.1007/BF01063881

Full citation:

Liston, M. (1993). Taking mathematical fictions seriously. Synthese 95 (3), pp. 433-458.

This document is unfortunately not available for download at the moment.