Linked bibliography for the SEP article "Naturalism in the Philosophy of Mathematics" by Alexander Paseau
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If everything goes well, this page should display the bibliography of the aforementioned article as it appears in the Stanford Encyclopedia of Philosophy, but with links added to PhilPapers records and Google Scholar for your convenience. Some bibliographies are not going to be represented correctly or fully up to date. In general, bibliographies of recent works are going to be much better linked than bibliographies of primary literature and older works. Entries with PhilPapers records have links on their titles. A green link indicates that the item is available online at least partially.
This experiment has been authorized by the editors of the Stanford Encyclopedia of Philosophy. The original article and bibliography can be found here.
- Armstrong, D.M., 1991, “Classes Are States of Affairs”, Mind, 100(2): 189–200. (Scholar)
- –––, 1997, A World of States of Affairs, Cambridge: Cambridge University Press. (Scholar)
- Baker, A., 2001, “Mathematics, Indispensability and Scientific Progress”, Erkenntnis, 55: 85–116. (Scholar)
- Balaguer, M., 2009, “Platonism in Metaphysics”, in The Stanford Encyclopedia of Philosophy (Summer 2009 Edition), Edward N. Zalta (ed.), URL = <https://plato.stanford.edu/archives/sum2009/entries/platonism/>. (Scholar)
- Bigelow, J., 1988, The Reality of Numbers, Oxford: Clarendon Press. (Scholar) (Scholar)
- Benacerraf, P., 1965, “What Numbers Could Not Be”, Philosophical Review 74, repr. in P. Benacerraf & H. Putnam (eds), Philosophy of Mathematics: Selected Readings 1983, Cambridge University Press. (Scholar)
- –––, 1973, “Mathematical Truth”, Journal of Philosophy 70, repr. in Benacerraf & Putnam (1983), Philosophy of Mathematics: Selected Readings, Cambridge: Cambridge University Press, pp. 403–420. (Scholar)
- Bigelow, J., 1988, The Reality of Numbers, Oxford: Clarendon Press. (Scholar)
- Bueno, O, forthcoming, “Nominalism in the Philosophy of
Mathematics”, The Stanford Encyclopedia of
Philosophy. (Scholar)
- Burgess, J., 1983, “Why I Am Not a Nominalist”, Notre Dame Journal of Formal Logic, 24: 93–105. (Scholar)
- –––, 1990, ‘Epistemology and nominalism’, in
A. D. Irvine (ed.), Physicalism in Mathematics. Dordrecht:
Kluwer, pp. 1–15. (Scholar)
- –––, 1998, “Occam's Razor and Scientific Method”, in M. Schirn (ed.), Philosophy of Mathematics Today, New York: Oxford University Press, pp. 195–214. (Scholar)
- Burgess, J. & Rosen, G., 1997, A Subject With No Object, New York: Oxford University Press. (Scholar)
- –––, 2005, “Nominalism Reconsidered”, in S.Shapiro (ed.), Oxford Handbook of the Philosophy of Mathematics and Logic, Oxford: Oxford University Press, pp. 515–535. (Scholar)
- Chihara, C., 2006, “Burgess's ‘Scientific’
Arguments for the Existence of Mathematical Objects”,
Philosophia Mathematica 14: 318–37. (Scholar)
- Colyvan, M., 2001, The Indispensability of Mathematics, New York: Oxford University Press. (Scholar)
- –––, 2011, “Indispensability Arguments in the
Philosophy of Mathematics”,
The Stanford Encyclopedia of Philosophy (Spring 2011 Edition),
Edward N. Zalta (ed.), URL =
<https://plato.stanford.edu/archives/sum2009/entries/platonism/>. (Scholar)
- Dieterle, J.M., 1999, “Mathematical, Astrological, and Theological Naturalism”, Philosophia Mathematica, 7: 129–135. (Scholar)
- Field, H., 1980, Science Without Numbers, Princeton: Princeton University Press. (Scholar)
- –––, 1989, Realism, Mathematics and Modality, Oxford: Basil Blackwell. (Scholar)
- Goodman, N. & Quine. W.V., 1947, “Steps Towards a
Constructive Nominalism”, Journal of Symbolic Logic,
12: 105–122. (Scholar)
- Hellman, G., 1989, Mathematics Without Numbers, Oxford: Oxford University Press. (Scholar)
- Kitcher, P., 1983, The Nature of Mathematical Knowledge, Oxford: Oxford University Press. (Scholar)
- Lewis, D., 1991, Parts of Classes, Oxford: Blackwell. (Scholar)
- –––, 1993, “Mathematics is Megethology”, Philosophia Mathematica, 3: 3–23. (Scholar)
- Linnebo, Ø, 2006, “Epistemological Challenges to Mathematical Platonism”, Philosophical Studies, 129: 545–574. (Scholar)
- Linsky, B., and Zalta, E., 1995, “Naturalized Platonism vs. Platonized Naturalism”, The Journal of Philosophy, 92(10): 525–555 (October). (Scholar)
- Lycan, W.G., 1988, Judgement and Justification, Cambridge: Cambridge University Press. (Scholar)
- Maddy, P., 1997, Naturalism in Mathematics, Oxford: Oxford University Press. (Scholar)
- –––, 2001, “Naturalism: Friends and Foes”, Philosophical Perspectives, 15: 37–67. (Scholar)
- –––, 2005, “Three Forms of Naturalism” in S.Shapiro (ed.), Oxford Handbook of the Philosophy of Mathematics and Logic, Oxford: Oxford University Press, pp. 437–459. (Scholar)
- –––, 2007, Second Philosophy: A Naturalistic Method, Oxford University Press. (Scholar)
- Mill, J.S., 1843, A System of Logic. [several
editions] (Scholar)
- Papineau, D., 2009, “Naturalism”, The Stanford Encyclopedia of Philosophy (Spring 2009 Edition), Edward N. Zalta (ed.), URL = <Naturalism/">https://plato.stanford.edu/archives/spr2009/entries/Naturalism/>. (Scholar)
- Paseau, A., 2005, “Naturalism in Mathematics and the Authority of Philosophy”, British Journal for the Philosophy of Science, 56: 399–418. (Scholar)
- –––, 2007, “Scientific Platonism”, in M. Leng, A. Paseau & M. Potter (eds), Mathematical Knowledge, Oxford: Oxford University Press, pp. 123–149 (Scholar)
- –––, 2008, “Motivating Reductionism about Sets”, Australasian Journal of Philosophy, 86: 295–307. (Scholar)
- –––, 2009, “Reducing Arithmetic to Set Theory”, in Ø. Linnebo & O. Bueno (eds), New Waves in the Philosophy of Mathematics, Palgrave Macmillan. (Scholar)
- Popper, K.R., 1935, Logik der Forschung, Vienna: Springer. (Scholar)
- Putnam, H., 1971, “Philosophy of Logic”, repr. in his Mathematics, Matter and Method: Philosophical Papers (Volume 1), Cambridge: Cambridge UP, pp. 323–57. (Scholar)
- Roland, Jeffrey, 2009, “On Naturalizing the Epistemology of Mathematics”, Pacific Philosophical Quarterly, 90(1): 63–97. (Scholar)
- Quine, W.V., 1955, “Posits and Reality”, repr. in
The Ways of Paradox and Other
Essays, Cambridge, MA: Harvard University Press, pp. 246–54. (Scholar)
- –––, 1981, “Things and their places in
theories” in his Theories and Things, Cambridge, MA:
Harvard University Press, pp. 1–23. (Scholar)
- –––, 1986, “Reply to Charles Parsons”, in L. Hahn & P. Schilpp (eds.), The Philosophy of W.V. Quine, La Salle: Open Court, pp. 396–403. (Scholar)
- –––, 1995, From Stimulus to Science. Cambridge, MA: Harvard University Press. (Scholar)
- Quine, W.V. and Ullian, J., 1970, The Web of Belief, New York: McGraw Hill. (Scholar)
- Roland, J., 2007, “Maddy and Mathematics: Naturalism or Not”, British Journal for the Philosophy of Science, 58: 423–450. (Scholar)
- Rosen, G., 1999, Review of Maddy (1997), British Journal for
the Philosophy of Science, 50: 467–74. (Scholar)
- Shapiro, Stewart, and Patrick Reeder, 2009, “A Scientific
Enterprise?: Penelope Maddy's Second Philosophy”,
Philosophia Mathematica, 17(2): 247–271. (Scholar)
- Sober, E., 1993, “Mathematics and Indispensability”, Philosophical Review, 102: 35–58. (Scholar)
- Steiner, M., 1975, Mathematical Knowledge, Princeton: Princeton University Press. (Scholar)
- Tappenden, J., 2001, “Review: Recent Work in Philosophy of
Mathematics”, Journal of Philosophy, 98: 488–97. (Scholar)
- Wittgenstein, L., 1953, Philosophical Investigations, Oxford: Blackwell. (Scholar)