Mathematics and bleak house

Philosophia Mathematica 12 (1):18-36 (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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David Liggins (2007). Anti-Nominalism Reconsidered. Philosophical Quarterly 57 (226):104–111.
Chris John Daly (2008). Fictionalism and the Attitudes. Philosophical Studies 139 (3):423 - 440.

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