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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Michael Rea (2005). Naturalism and Ontology: A Replyto Dale Jacquette. Faith and Philosophy 22 (3):343-357.
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Michael C. Rea (2002). World Without Design: The Ontological Consequences of Naturalism. Oxford University Press.
Jeffrey W. Roland (2007). Maddy and Mathematics: Naturalism or Not. British Journal for the Philosophy of Science 58 (3):423 - 450.
Penelope Maddy (1997). Naturalism in Mathematics. Oxford University Press.
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