Linked bibliography for the SEP article "Nominalism in the Philosophy of Mathematics" by Otávio Bueno

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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.

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  • Azzouni, J., 1994, Metaphysical Myths, Mathematical Practice: The Ontology and Epistemology of the Exact Sciences, Cambridge: Cambridge University Press. (Scholar)
  • –––, 1997, “Applied Mathematics, Existential Commitment and the Quine-Putnam Indispensability Thesis”, Philosophia Mathematica, 5: 193–209. (Scholar)
  • –––, 2000, “Applying Mathematics: An Attempt to Design a Philosophical Problem”, The Monist, 83: 209–227. (Scholar)
  • –––, 2004, Deflating Existential Consequence: A Case for Nominalism, New York: Oxford University Press. (Scholar)
  • –––, 2006, Tracking Reason: Proof, Consequence, and Truth, New York: Oxford University Press. (Scholar)
  • –––, 2007, “Ontological Commitment in the Vernacular”, Noûs, 41: 204–226. (Scholar)
  • –––, 2009a, “Empty de re Attitudes about Numbers”, Philosophia Mathematica, 17: 163–188. (Scholar)
  • ––– 2009b, “Evading Truth Commitments: The Problem Reanalyzed”, Logique et Analyse, 206: 139–176. (Scholar)
  • –––, 2010a, Talking about Nothing: Numbers, Hallucinations, and Fictions, New York: Oxford University Press. (Scholar)
  • ––– 2010b, “Ontology and the Word ‘Exist’: Uneasy Relations”, Philosophia Mathematica, 18: 74–101. (Scholar)
  • –––, 2011, “Nominalistic Content”, in Cellucci, Grosholtz, and Ippoliti (eds.) 2011, pp. 33–51. (Scholar)
  • –––, 2012, “Taking the Easy Road Out of Dodge”, Mind, 121: 951–965. (Paper published in 2013.) (Scholar)
  • Balaguer, M., 1998, Platonism and Anti-Platonism in Mathematics, New York: Oxford University Press. (Scholar)
  • Benacerraf, P., 1973, “Mathematical Truth”, Journal of Philosophy, 70: 661–679. (Scholar)
  • Benacerraf, P., and Putnam, H. (eds.), 1983, Philosophy of Mathematics: Selected Readings, second edition, Cambridge: Cambridge University Press. (Scholar)
  • Boolos, G., and Jeffrey, R., 1989, Computability and Logic, third edition, Cambridge: Cambridge University Press. (Scholar)
  • Bueno, O., 2003, “Is It Possible to Nominalize Quantum Mechanics?”, Philosophy of Science, 70: 1424–1436. (Scholar)
  • –––, 2008, “Nominalism and Mathematical Intuition”, Protosociology, 25: 89–107. (Scholar)
  • –––, 2009, “Mathematical Fictionalism”, in Bueno and Linnebo (eds.) 2009, pp. 59–79. (Scholar)
  • Bueno, O., French, S., and Ladyman, J., 2002, “On Representing the Relationship between the Mathematical and the Empirical”, Philosophy of Science, 69: 497–518. (Scholar)
  • Bueno, O., and Linnebo, Ø. (eds.), 2009, New Waves in Philosophy of Mathematics, Hampshire: Palgrave MacMillan. (Scholar)
  • Bueno, O., and Zalta, E., 2005, “A Nominalist's Dilemma and its Solution”, Philosophia Mathematica, 13: 294–307. (Scholar)
  • Burgess, J., and Rosen, G., 1997, A Subject With No Object: Strategies for Nominalistic Interpretation of Mathematics, Oxford: Clarendon Press. (Scholar)
  • Cellucci, C., Grosholtz, E., and Ippoliti, E. (eds.), 2011, Logic and Knowledge, Newcastle: Cambridge Scholars Publishing. (Scholar)
  • Chihara, C.S., 1990, Constructibility and Mathematical Existence, Oxford: Clarendon Press. (Scholar)
  • Colyvan, M., 2001a, The Indispensability of Mathematics, New York: Oxford University Press. (Scholar)
  • –––, 2001b, “The Miracle of Applied Mathematics”, Synthese, 127: 265–277. (Scholar)
  • –––, 2010, “There's No Easy Road to Nominalism”, Mind, 119: 285–306. (Scholar)
  • da Costa, N., and French, S., 2003, Science and Partial Truth, New York: Oxford University Press. (Scholar)
  • Field, H., 1980, Science without Numbers: A Defense of Nominalism, Princeton, N.J.: Princeton University Press. (Scholar)
  • –––, 1984, “Is Mathematical Knowledge Just Logical Knowledge?”, Philosophical Review, 93: 509–552; reprinted with a postscript and some changes in Field 1989, pp. 79–124. (Scholar)
  • –––, 1989, Realism, Mathematics and Modality, Oxford: Basil Blackwell. (Scholar)
  • –––, 1991, “Metalogic and Modality”, Philosophical Studies, 62: 1–22. (Scholar)
  • –––, 1992, “A Nominalistic Proof of the Conservativeness of Set Theory”, Journal of Philosophical Logic, 21: 111–123. (Scholar)
  • Friedman, J., 2005, “Modal Platonism: An Easy Way to Avoid Ontological Commitment to Abstract Entities”, Journal of Philosophical Logic, 34: 227–273. (Scholar)
  • Gödel, K., 1944, “Russell's Mathematical Logic”, in Schilpp (ed.) 1944, pp. 125–153; reprinted in Benacerraf and Putnam (eds.) 1983, pp. 447–469. (Scholar)
  • –––, 1947, “What Is Cantor's Continuum Problem?”, American Mathematical Monthly, 54: 515–525; revised and expanded version in Benacerraf and Putnam (eds.) 1983, pp. 470–485. (Scholar)
  • Goodman, N., and Quine, W. V., 1947, “Steps Toward a Constructive Nominalism”, Journal of Symbolic Logic, 12: 105–122. (Scholar)
  • Hale, B., and Wright, C., 2001, The Reason's Proper Study: Essays Towards a Neo-Fregean Philosophy of Mathematics, Oxford: Clarendon Press. (Scholar)
  • Hellman, G., 1989, Mathematics without Numbers: Towards a Modal-Structural Interpretation, Oxford: Clarendon Press. (Scholar)
  • –––, 1996, “Structuralism without Structures”, Philosophia Mathematica, 4: 100–123. (Scholar)
  • Hilbert, D., 1971, Foundations of Geometry, La Salle: Open Court; English translation of the tenth German edition, published in 1968. (Scholar)
  • Leng, M., 2010, Mathematics and Reality, New York: Oxford University Press. (Scholar)
  • Lewis, D., 1986, On the Plurality of Worlds, Oxford: Blackwell. (Scholar)
  • Malament, D., 1982, “Review of Field, Science without Numbers”, Journal of Philosophy, 79: 523–534. (Scholar)
  • Melia, J., 1995, “On What There's Not”, Analysis, 55: 223–229. (Scholar)
  • –––, 1998, “Field's Programme: Some Interference”, Analysis, 58: 63–71. (Scholar)
  • –––, 2000, “Weaseling Away the Indispensability Argument”, Mind, 109: 455–479. (Scholar)
  • Putnam, H., 1967, “Mathematics without Foundations”, The Journal of Philosophy, 64(1): 5–22; reprinted in Benacerraf and Hilary Putnam 1983: 295–312. (Scholar)
  • –––, 1971, Philosophy of Logic, New York: Harper and Row; reprinted in Putnam 1979, pp. 323–357. (Scholar)
  • –––, 1979, Mathematics, Matter and Method (Philosophical Papers: Volume 1), second edition, Cambridge: Cambridge University Press. (Scholar)
  • Quine, W. V., 1960, Word and Object, Cambridge, Mass.: The MIT Press. (Scholar)
  • Resnik, M., 1997, Mathematics as a Science of Patterns, Oxford: Clarendon Press. (Scholar)
  • Schilpp, P.A. (ed.), 1944, The Philosophy of Bertrand Russell (The Library of Living Philosophers), Chicago: Northwestern University. (Scholar)
  • Shapiro, S., 1997, Philosophy of Mathematics: Structure and Ontology, New York: Oxford University Press. (Scholar)
  • Simons, P., 2010, Philosophy and Logic in Central Europe from Bolzano to Tarski, Dordrecht: Kluwer. (Scholar)
  • van Fraassen, B.C., 1980, The Scientific Image, Oxford: Clarendon Press. (Scholar)
  • –––, 1991, Quantum Mechanics: An Empiricist View, Oxford: Clarendon Press. (Scholar)
  • von Neumann, J., 1932, Mathematical Foundations of Quantum Mechanics, English translation, Princeton: Princeton University Press, 1955. (Scholar)
  • Weyl, H., 1928, Gruppentheorie un Quantenmechanik, Leipzig: S. S. Hirzel; English translation, The Theory of Groups and Quantum Mechanics, H.P. Roberton (trans.), New York: Dover, 1931. (Scholar)
  • Yablo, S., 2001, “Go Figure: A Path through Fictionalism”, Midwest Studies in Philosophy, 25: 72–102. (Scholar)

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