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The logical character of number: reply to abel lasalle casanave
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Palavras-chave

Number structure. Cardinality. Logic. Hume’s Principle. Dedekind. Frege. Plato

Como Citar

CHATEAUBRIAND, Oswaldo. The logical character of number: reply to abel lasalle casanave. Manuscrito: Revista Internacional de Filosofia, Campinas, SP, v. 27, n. 1, p. 21–30, 2016. Disponível em: https://periodicos.sbu.unicamp.br/ojs/index.php/manuscrito/article/view/8644124. Acesso em: 13 abr. 2024.

Resumo

In §1 I discuss Dedekind and Frege on the logical and structural analysis of natural numbers and present my view that the logical analysis of the notion of number involves a combination of their analyses. In §2 I answer some of the specific questions that Abel raises in connection with Chapter 9 of Logical Forms.
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Referências

CHATEAUBRIAND, O. “Ockham’s Razor”. O Que Nos Faz Pensar, 3,

pp. 51-75, 1990.

DEDEKIND, R. Was sind und was sollen die Zahlen. (1888). In W. Ewald

(ed.) (1996), pp. 790-833.

DEDEKIND, R. “Letter to Keferstein”. (1890) In J. van Heijenoort

(ed.) (1967), pp. 99-103.

DUMMETT, M. Frege: Philosophy of Mathematics. London: Duckworth,

EWALD, W. (ed.) A Source Book in the Foundations of Mathematics. Volume 2. Oxford: Oxford University Press, 1996.

FREGE, G. “Function and Concept” (1891). In P. Geach and M. Black (eds.) Translations from the Philosophical Writings of Gottlob Frege. Oxford: Blackwell, 1960.

TARSKI, A. “What are Logical Notions?” History and Philosophy of Logic,

, pp. 143-54, 1986.

VAN HEIJENOORT, J. (ed.) From Frege to Gödel: A Source Book in Mathematical Logic, 1879-1931. Cambridge, Mass.: Harvard University Press, 1967.

WEDBERG, A. Plato’s Philosophy of Mathematics. Stockholm: Almqvist and Wiksell, 1955.

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