Platonism in mathematics

Autores

  • Oswaldo Chateaubriand Pontifical Catholic University of Rio de Janeiro

Palavras-chave:

Benacerraf, Gödel, Chihara, Platonismo, Matemática

Resumo

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

 

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Biografia do Autor

Oswaldo Chateaubriand, Pontifical Catholic University of Rio de Janeiro

Professor from Department of Philosophy at the Pontifical Catholic University of Rio de Janeiro.

Referências

Benacerraf, P. Mathematical Truth. The Journal of Philosophy, 70, 1973. Repr. in P. Benacerraf and H. Putnam (eds.).

Benacerraf, P., 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)

Chateaubriand, O. 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.).

Gödel, K. 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, Mass.: Harvard, 1980.

Quine, W.V.O. Word and Object. Cambridge, Mass.: 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, 1974.

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Publicado

2007-12-31

Como Citar

CHATEAUBRIAND, O. Platonism in mathematics. Manuscrito: Revista Internacional de Filosofia, Campinas, SP, v. 30, n. 2, p. 507–538, 2007. Disponível em: https://periodicos.sbu.unicamp.br/ojs/index.php/manuscrito/article/view/8643429. Acesso em: 30 nov. 2022.

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