Sean Morris: Quine, New Foundations, and the Philosophy of Set Theory


  • Henri Wagner University of Bordeaux Montaigne



Reviewed by Henri Wagner.

Author Biography

Henri Wagner, University of Bordeaux Montaigne



Burgess, John P., 2014. “Quine’s Philosophy of Logic and Mathematics.” In A Companion to W. V. Quine, edited by Gilbert Harman and Ernest Lepore, pp. 281–95. Chichester: Wiley Blackwell.

Diamond, Cora, 1991. The Realistic Spirit: Wittgenstein, Philosophy, and the Mind. Cambridge, Mass.: MIT Press.

Dreben, Burton, 1990. “Quine.” In Perspectives on Quine, edited by Robert B. Barrett and Roger F. Gibson, pp. 81–95. Oxford: Basil Blackwell.

Ebbs, Gary, 2011. “Quine Gets the Last Word.” Journal of Philosophy 108: 617–32.

Ferreirós, José, 2001. “The Road to Modern Logic: An Interpretation.” Bulletin of Symbolic Logic 7: 441–84.

Frege, Gottlob, 1884/1953. The Foundations of Arithmetic: A Logico-mathematical Enquiry into the Concept of Number, second, revised edition, edited by J. L. Austin. Oxford: Blackwell.

———, 1891. “Function and Concept.” In Frege (1980), pp. 21–41.

———, 1980. Translations from the Philosophical Writings of Gottlob Frege, third edition, edited by Peter Geach and Max Black. Oxford: Blackwell.

Gandon, Sébastien, 2013. “Variable, Structure, and Restricted Generality.” Philosophia Mathematica 21: 200–19.

Geertz, Clifford, 1975. “Commonsense as a Cultural System.” In Local Knowledge: Further Essays in Interpretive Anthropology, pp. 73–94. London: Fontana Press.

Goldfarb, Warren, 1979. “Logic in the Twenties: The Nature of the Quantifier.” Journal of Symbolic Logic 44: 351–68.

Hacking, Ian, 1975. Why Does Language Matter to Philosophy?. Cambridge: Cambridge University Press.

Hill, Christopher, 2011. “Review of Peter Hylton, Quine, New York: Routledge, 2007.” Philosophical Review 120: 117–23.

Hintikka, Jaakko, 1997. Lingua Universalis vs. Calculus Ratiocinator: An Ultimate Presupposition of Twentieth-Century Philosophy. Dordrecht: Springer.

Horn, Laurence R., 2001. A Natural History of Negation. Stanford: CSLI Publications.

Hylton, Peter, 2007. Quine. London and New York: Routledge.

Mancosu, Paolo, 2010. “Harvard 1940–1941: Tarski, Carnap, and Quine on a Finitistic Language of Mathematics for Science.” In The Adventure of Reason: Interplay between Philosophy of Mathematics and Mathematical Logic 1900–1940, pp. 361–86. New York: Oxford University Press.

Morris, Sean, 2015. “Quine, Russell, and Naturalism: From a Logical Point of View.” Journal of the History of Philosophy 136–155: 53.

———, 2020. “Explication as Elimination: W. V. Quine and Mathematical Structuralism.” In The Prehistory of Mathematical Structuralism, edited by Erich H. Reck and Georg Schiemer, pp. 421–42. Oxford: Oxford University Press.

Narboux, Jean-Philippe, forthcoming. Essai sur le problème de la négation. Paris: Vrin.

Prior, Arthur N., 1954. “Entities.” Australasian Journal of Philosophy 32: 159–68. Reprinted in Prior (1976), pp. 25–33.

———, 1962a. “Nonentities.” In Analytical Philosophy, edited by R. J. Butler, pp. 120–32. Oxford: Basil Blackwell. Reprinted in Prior (1976), pp. 109–22.

———, 1962b. “Some Problems of Self-Reference in John Buridan.” Proceedings of the British Academy 48: 281–96. Reprinted in Prior (1976), pp. 130–47.

———, 1976. Papers in Logic and Ethics, edited by P. T. Geach and A. J. P. Kenny. Amherst: University of Massachusetts Press.

Quine, W. V., 1936. “Set-Theoretic Foundations for Logic.” Journal of Symbolic Logic 1: 45–57.

———, 1937. “New Foundations for Mathematical Logic.” In Quine (1980), pp. 80–101.

———, 1941. “Whitehead and the Rise of Modern Logic.” In Quine (1995), pp. 3–36.

———, 1942/2018. The Significance of the New Logic, translated and edited by Walter Carnielli, Frederique Janssen-Lauret and William Pickering. Cambridge: Cambridge University Press.

———, 1951a. Mathematical Logic, revised edition. Cambridge, Mass.: Harvard University Press. First edition 1940.

———, 1951b. “On Carnap’s View on Ontology.” In Quine (1966), pp. 126–35.

———, 1953. “Mr. Strawson on Logical Theory.” In Quine (1966), pp. 135–56.

———, 1956. “Unification of Universes in Set Theory.” Journal of Symbolic Logic 21: 267–79.

———, 1960. Word and Object. Cambridge, Mass.: MIT Press.

———, 1961. “The Ways of Paradox.” In Quine (1966), pp. 3–21.

———, 1963. Set Theory and Its Logic. Cambridge, Mass.: The Belknap Press of Harvard University Press.

———, 1966. The Ways of Paradox and Other Essays. Cambridge, Mass.: Harvard University Press.

———, 1969a. “Existence and Quantification.” In Quine (1969c), pp. 91–113.

———, 1969b. “Natural Kinds.” In Quine (1969c), pp. 114–39.

———, 1969c. Ontological Relativity and Other Essays. New York: Columbia University Press.

———, 1980. From A Logical Point of View: Nine Logico-Philosophical Essays, second, revised edition. Cambridge, Mass.: Harvard University Press.

———, 1981. Theories and Things. Cambridge, Mass.: Harvard University Press.

———, 1986a. Philosophy of Logic, second edition. Cambridge, Mass.: Harvard University Press. First edition 1970.

———, 1986b. “Reply to Joseph S. Ullian.” In The Philosophy of W. V. Quine, edited by Lewis Edwin Hahn and Paul Arthur Schilpp, pp. 590–93. Chicago and La Salle, Ill.: Open Court.

———, 1987a. Quiddities. An Intermittently Philosophical Dictionary. Cambridge, Mass.: The Belknap Press of Harvard University Press.

———, 1987b. “The Inception of ‘New Foundations’.” In Quine (1995), pp. 286–90.

———, 1995. Selected Logic Papers, enlarged edition. Cambridge, Mass.: Harvard University Press.

Russell, Bertrand, 1908. “Mathematical Logic as Based on the Theory of Types.” American Journal of Mathematics 30: 222–62.

———, 1918. “The Philosophy of Logical Atomism.” In Russell (2010), pp. 1–125.

———, 1924. “Logical Atomism.” In Russell (2010), pp. 126–50.

———, 1937. The Principles of Mathematics, second edition. New York: W. W. Norton & Co. First edition 1903.

———, 2010. The Philosophy of Logical Atomism. London and New York: Routledge.

Ryle, Gilbert, 1938. “Categories.” In Ryle (2009), pp. 178–93.

———, 1949. The Concept of Mind. London: Routledge.

———, 2009. Collected Papers, vol. 2. London and New York: Routledge.

Verhaegh, Sander, 2018. Working from Within. The Nature and Development of Quine’s Naturalism. New York: Oxford University Press.

Weiner, Joan, 1999. Frege. (Past Masters Series.) Oxford: Oxford University Press.