Lavers, Gregory (2011) On the Quinean-analyticity of mathematical propositions. Philosophical Studies . ISSN 1573-0883 (In Press)
- Accepted Version
Official URL: http://dx.doi.org/10.1007/s11098-011-9709-2
This paper investigates the relation between Carnap and Quine’s views on analyticity on the one hand, and their views on philosophical analysis or explication on the other. I argue that the stance each takes on what constitutes a successful explication largely dictates the view they take on analyticity. I show that although acknowledged by neither party (in fact Quine frequently expressed his agreement with Carnap on this subject) their views on explication are substantially different. I argue that this difference not only explains their differences on the question of analyticity, but points to a Quinean way to answer a challenge that Quine posed to Carnap. The answer to this challenge leads to a Quinean view of analyticity such that arithmetical truths are analytic, according to Quine’s own remarks, and set theory is at least defensibly analytic.
|Divisions:||Concordia University > Faculty of Arts and Science > Philosophy|
|Journal or Publication:||Philosophical Studies|
|Deposited By:||GREGORY LAVERS|
|Deposited On:||22 Mar 2011 20:42|
|Last Modified:||22 Mar 2011 20:42|
Benacerraf, P. (1965). What numbers could not be. Philosophical Review, 74, 47–73.
Carnap, R. (1950). Logical foundations of probability. Chicago: University of Chicago Press.
Carnap, R. (1956). Meaning and necessity: A study in semantics and modal logic (2nd ed.). Chicago and London: University of Chicago Press.
Carnap, R. (1996). The elimination of metaphysics through a logical analysis of language. In: S. Sarkar (Ed.), Science and philosophy in the twentieth century, (Vol. 2). New York: Garland Press.
Creath, R. (2007). Quine’s challenge to Carnap. In: Friedman, M., Creath, R. (Eds.), The Cambridge Companion to Carnap, Chap. 14, (pp. 316–335). Cambridge: Cambridge University Press.
Dummett, M. (1978). The significance of Quine’s indeterminacy thesis. In: Truth and other enigmas (pp. 375–419). Cambridge: Harvard.
George, A. (2000). On washing the fur without wetting it. Mind, 109(433), 1–23.
Grice, P., & Strawson, P. F. (1956). In defense of a dogma. Philosophical Review, 65, 141–158.
Hallett, M. (1984). Cantorian set theory and the limitation of size. No. 10 in Oxford Logic Guides. Oxford: Oxford University Press.
Juhl, C., & Loomis, E. (2010). Analyticity. London & New York: Routledge.
Kreisel, G. (1967). Informal rigour and completeness proofs. In: I. Lakatos (Eds.), Problems in the philosophy of mathematics (pp. 138–186). New York: Humanities Press.
Lavers, G. (2008). Carnap, formalism, and informal rigour. Philosophia Mathematica, 16(1), 4–24.
Lavers, G. (2009). Benacerraf’s dilemma and informal mathematics. Review of Symbolic Logic, 2(4), 769–85.
Quine, W. V. O. (1953). From a logical point of view. Cambridge: Harvard University Press.
Quine, W. V. O. (1960). Word and object. Cambridge: MIT press.
Quine, W. V. O. (1963). Carnap and logical truth. In: P. A. Schilpp (Ed.), The philosophy of Rudolf Carnap, vol. XI of Library of Living Philosophers, (pp. 385–406). La Salle: Open Court.
Quine, W. V. O. (1969). Epistemology naturalized. In: Ontological relativity and other essays, (pp. 69–90). New York: Columbia University Press.
Quine, W. V. O. (1973). Roots of Reference. La Salle: Open Court.
Quine, W. V. O. (2008). Confessions of a confirmed extensionalist and other essays. Cambridge: Harvard University Press.
Quine, W. V. O., & Carnap, R. (1990). Dear Carnap, Dear Van: The Quine-Carnap correspondence. California: University of California Press.
Russell, G. (2008). Truth in virtue of meaning: A defence of the analytic/synthetic distinction. Oxford: Oxford University Press.
Stein, H. (1992). Was Carnap entirely wrong after all? Synthese, 93(1–2), 275–295.
Repository Staff Only: item control page
Downloads per month over past year