Maddy and Mathematics: Naturalism or Not


Authors
Jeffrey W. Roland
Louisiana State University
Abstract
Penelope Maddy advances a purportedly naturalistic account of mathematical methodology which might be taken to answer the question 'What justifies axioms of set theory?' I argue that her account fails both to adequately answer this question and to be naturalistic. Further, the way in which it fails to answer the question deprives it of an analog to one of the chief attractions of naturalism. Naturalism is attractive to naturalists and nonnaturalists alike because it explains the reliability of scientific practice. Maddy's account, on the other hand, appears to be unable to similarly explain the reliability of mathematical practice without violating one of its central tenets
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DOI 10.1093/bjps/axm016
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References found in this work BETA

What is Justified Belief.Alvin I. Goldman - 1979 - In George Pappas (ed.), Justification and Knowledge. Boston: D. Reidel. pp. 1-25.
Discrimination and Perceptual Knowledge.Alvin I. Goldman - 1976 - Journal of Philosophy 73 (November):771-791.
Naturalism in Mathematics.Penelope Maddy - 1997 - Oxford University Press.

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Citations of this work BETA

On Naturalizing the Epistemology of Mathematics.Jeffrey W. Roland - 2009 - Pacific Philosophical Quarterly 90 (1):63-97.
Kitcher and the Obsessive Unifier.Jeffrey W. Roland - 2008 - Philosophy and Phenomenological Research 77 (2):493-506.
Kitcher and the Obsessive Unifier.Jeffrey W. Roland - 2008 - Philosophy and Phenomenological Research 77 (2):493-506.

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