David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
British Journal for the Philosophy of Science 58 (3):423 - 450 (2007)
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
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Jeffrey W. Roland (2009). On Naturalizing the Epistemology of Mathematics. Pacific Philosophical Quarterly 90 (1):63-97.
Jeffrey W. Roland (2008). Kitcher and the Obsessive Unifier. Philosophy and Phenomenological Research 77 (2):493-506.
Similar books and articles
Michael Resnik (1995). Scientific Vs. Mathematical Realism: The Indispensability Argument. Philosophia Mathematica 3 (2):166-174.
Alex Levine (2005). Conjoining Mathematical Empiricism with Mathematical Realism: Maddy's Account of Set Perception Revisited. Synthese 145 (3):425 - 448.
Emily Carson (1996). On Realism in Set Theory. Philosophia Mathematica 4 (1):3-17.
Adrian Riskin (1994). On the Most Open Question in the History of Mathematics: A Discussion of Maddy. Philosophia Mathematica 2 (2):109-121.
J. M. Dieterle (1999). Mathematical, Astrological, and Theological Naturalism. Philosophia Mathematica 7 (2):129-135.
Penelope Maddy (2007). Second Philosophy: A Naturalistic Method. Oxford University Press.
Kenny Easwaran (2008). The Role of Axioms in Mathematics. Erkenntnis 68 (3):381 - 391.
Penelope Maddy (1995). Naturalism and Ontology. Philosophia Mathematica 3 (3):248-270.
Penelope Maddy (1997). Naturalism in Mathematics. Oxford University Press.
Added to index2009-01-28
Total downloads59 ( #58,088 of 1,726,249 )
Recent downloads (6 months)4 ( #166,848 of 1,726,249 )
How can I increase my downloads?