Philosophia Mathematica 7 (2):164-177 (1999)

Abstract
According to standard mathematical platonism, mathematical entities (numbers, sets, etc.) are abstract entities. As such, they lack causal powers and spatio-temporal location. Platonists owe us an account of how we acquire knowledge of this inaccessible mathematical realm. Some recent versions of mathematical platonism postulate a plenitude of mathematical entities, and Mark Balaguer has argued that, given the existence of such a plenitude, the attainment of mathematical knowledge is rendered non-problematic. I assess his epistemology for such a profligate platonism and find it unsatisfactory because it lacks an adequate semantics, in particular, an adequate account of reference.
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DOI 10.1093/philmat/7.2.164
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References found in this work BETA

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Prom Full Blooded Platonism to Really Full Blooded Platonism.Jc Beall - 1999 - Philosophia Mathematica 7 (3):322-325.

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