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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.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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