Mathematical, astrological, and theological naturalism

Philosophia Mathematica 7 (2):129-135 (1999)
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Abstract

persuasive argument for the claim that we ought to evaluate mathematics from a mathematical point of view and reject extra-mathematical standards. Maddy considers the objection that her arguments leave it open for an ‘astrological naturalist’ to make an analogous claim: that we ought to reject extra-astrological standards in the evaluation of astrology. In this paper, I attempt to show that Maddy's response to this objection is insufficient, for it ultimately either (1) undermines mathematical naturalism itself, leaving us with only scientific naturalism, or (2) leaves open the possibility of other unpalatable naturalisms.

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Jill Dieterle
Eastern Michigan University

Citations of this work

Naturalism in the Philosophy of Mathematics.Alexander Paseau - 2012 - In Ed Zalta (ed.), Stanford Encyclopedia of Philosophy. Stanford Encyclopedia of Philosophy.
Quine's ‘needlessly strong’ holism.Sander Verhaegh - 2017 - Studies in History and Philosophy of Science Part A 61:11-20.
Maddy and Mathematics: Naturalism or Not.Jeffrey W. Roland - 2007 - British Journal for the Philosophy of Science 58 (3):423-450.
On Naturalizing the Epistemology of Mathematics.Jeffrey W. Roland - 2009 - Pacific Philosophical Quarterly 90 (1):63-97.

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References found in this work

Naturalism in mathematics.Penelope Maddy - 1997 - New York: Oxford University Press.

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