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Platonism and anti-platonism in mathematics
Philosophical Review 110 (1):79-82 (2001)
Abstract
Mathematics tells us there exist infinitely many prime numbers. Nominalist philosophy, introduced by Goodman and Quine, tells us there exist no numbers at all, and so no prime numbers. Nominalists are aware that the assertion of the existence of prime numbers is warranted by the standards of mathematical science; they simply reject scientific standards of warrant.Author's Profile
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