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PLATONISM IN MATHEMATICS
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Benacerraf. Gödel. Chihara. Platonism. Mathematics

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CHATEAUBRIAND, Oswaldo. PLATONISM IN MATHEMATICS. Manuscrito: Revista Internacional de Filosofia, Campinas, SP, v. 28, n. 2, p. 201–230, 2016. Disponível em: https://periodicos.sbu.unicamp.br/ojs/index.php/manuscrito/article/view/8643731. Acesso em: 19 abr. 2024.

Resumo

In this paper I examine arguments by Benacerraf and by Chihara against Gödel’s platonistic philosophy of mathematics.
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Referências

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,

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