Naturalism and ontology

Philosophia Mathematica 3 (3):248-270 (1995)
Abstract
Naturalism in philosophy is sometimes thought to imply both scientific realism and a brand of mathematical realism that has methodological consequences for the practice of mathematics. I suggest that naturalism does not yield such a brand of mathematical realism, that naturalism views ontology as irrelevant to mathematical methodology, and that approaching methodological questions from this naturalistic perspective illuminates issues and considerations previously overshadowed by (irrelevant) ontological concerns.
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DOI 10.1093/philmat/3.3.248
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Mark Colyvan (1998). Can the Eleatic Principle Be Justified? Canadian Journal of Philosophy 28 (3):313 - 335.
Penelope Maddy (1996). Set Theoretic Naturalism. Journal of Symbolic Logic 61 (2):490-514.
J. Azzouni & O. Bueno (forthcoming). True Nominalism: Referring Versus Coding. British Journal for the Philosophy of Science:axv004.

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