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Anti-nominalism reconsidered

Philosophical Quarterly 57 (226):104–111 (2007)

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  1. Is there a good epistemological argument against platonism?David Liggins - 2006 - Analysis 66 (2):135–141.
    Platonism in the philosophy of mathematics is the doctrine that there are mathematical objects such as numbers. John Burgess and Gideon Rosen have argued that that there is no good epistemological argument against platonism. They propose a dilemma, claiming that epistemological arguments against platonism either rely on a dubious epistemology, or resemble a dubious sceptical argument concerning perceptual knowledge. Against Burgess and Rosen, I show that an epistemological anti- platonist argument proposed by Hartry Field avoids both horns of their dilemma.
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  • Mathematics and bleak house.John P. Burgess - 2004 - Philosophia Mathematica 12 (1):18-36.
    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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  • Book Reviews. [REVIEW]John P. Burgess - 1993 - Philosophia Mathematica 1 (2):180-188.
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  • Book reviews. [REVIEW]John P. Burgess - 1993 - Philosophia Mathematica 1 (2):637-639.
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