Abstract

AbstractAny version of mathematical realism motivated by Quinean indispensability arguments must yield a mathematics that is a posteriori and fallible. Such a consequence is considered unacceptable by many – mathematical realists and antirealists alike. For example, Musgrave and Sober find that such a conclusion sits rather uneasily with scientific practice, while Hale and Wright take issue with any account of mathematics that yields the contingent existence of mathematical objects. In this chapter, these and other related objections are addressed.

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