In Mary Leng, Alexander Paseau & Michael Potter (eds.),
Mathematical Knowledge. Oxford University Press. pp. 123-149 (
2007)
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Abstract
Does natural science give us reason to believe that mathematical statements are true? And does natural science give us reason to believe in some particular metaphysics of mathematics? These two questions should be firmly distinguished. My argument in this chapter is that a negative answer to the second question is compatible with an affirmative answer to the first. Loosely put, even if science settles the truth of mathematics, it does not settle its metaphysics.