Mathematics and philosophy of mathematics

Philosophia Mathematica 2 (2):148-160 (1994)
The purpose of this note is to examine the relationship between the practice of mathematics and the philosophy of mathematics, ontology in particular. One conclusion is that the enterprises are (or should be) closely related, with neither one dominating the other. One cannot 'read off' the correct way to do mathematics from the true ontology, for example, nor can one ‘read off’ the true ontology from mathematics as practiced.
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DOI 10.1093/philmat/2.2.148
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Penelope Maddy (1996). Set Theoretic Naturalism. Journal of Symbolic Logic 61 (2):490-514.

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