Abstract
In this paper I examine arguments by Benacerraf and by Chihara against Gödel’s platonistic philosophy of mathematics.References
BENACERRAF, P. “Mathematical Truth”. The Journal of Philosophy, 70,
Repr. in P. Benacerraf and H. Putnam (eds.).
BENACERRAF, P. and PUTNAM, H. (eds). Philosophy of Mathematics:
Selected Readings. Englewood Cliffs, N.J.: Prentice-Hall, 1964. Second
edition. Cambridge: Cambridge University Press, 1983.
CHATEAUBRIAND, O. Logical Forms. Part I: Truth and Description. Campinas, São Paulo: Unicamp, 2001. (Coleção CLE, v. 34)
________ . Logical Forms. Part II: Logic, Language, and Knowledge. Campinas, São Paulo: Unicamp, 2005. (Coleção CLE, v. 42)
CHIHARA, C.S. Ontology and the Vicious Circle Principle. Ithaca, N.Y.: Cornell, 1973.
GIBSON, J.J. The Senses Considered as Perceptual Systems. Boston: Houghton Mifflin Company, 1966.
GÖDEL, K. “Russell’s Mathematical Logic”. In: P.A. Schilp (ed.). The Philosophy of Bertrand Russell, pp. 125-153. New York, N.Y.: Tudor, 1944. Repr. in P. Benacerraf and H. Putnam (eds.).
_______ “What is Cantor’s Continuum Problem?” American Mathematical
Monthly 54, 1947. Revised and expanded in P. Benacerraf and H. Putnam (eds.).
KRIPKE, S. Naming and Necessity (1972). Cambridge, MA: Harvard, 1980.
QUINE, W.V.O. Word and Object. Cambridge, MA: The MIT Press, 1960.
STEINER, M. “Platonism and the Causal Theory of Knowledge”. The Journal of Philosophy, 70, 1973.
WANG, H. From Mathematics to Philosophy. New York: Humanities Press,