Naturalism and ontology

Philosophia Mathematica 3 (3):248-270 (1995)

Authors
Penelope J. Maddy
University of California, Irvine
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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References found in this work BETA

Two Dogmas of Empiricism.Willard V. O. Quine - 1951 - Philosophical Review 60 (1):20–43.
Mathematical Truth.Paul Benacerraf - 1973 - Journal of Philosophy 70 (19):661-679.
Science Without Numbers.Hartry Field - 1980 - Princeton University Press.
Science Without Numbers.Michael D. Resnik - 1983 - Noûs 17 (3):514-519.
Indispensability and Practice.Penelope Maddy - 1992 - Journal of Philosophy 89 (6):275.

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Citations of this work BETA

There is No Easy Road to Nominalism.M. Colyvan - 2010 - Mind 119 (474):285-306.
Can the Eleatic Principle Be Justified?Mark Colyvan - 1998 - Canadian Journal of Philosophy 28 (3):313-335.
Revolutionary Fictionalism: A Call to Arms.Mary Leng - 2005 - Philosophia Mathematica 13 (3):277-293.
Confirmation Theory and Indispensability.Mark Colyvan - 1999 - Philosophical Studies 96 (1):1-19.

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