David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
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Theoria 78 (2):146-167 (2012)
I trace changes to Frege's understanding of numbers, arguing in particular that the view of arithmetic based in geometry developed at the end of his life (1924–1925) was not as radical a deviation from his views during the logicist period as some have suggested. Indeed, by looking at his earlier views regarding the connection between numbers and second-level concepts, his understanding of extensions of concepts, and the changes to his views, firstly, in between Grundlagen and Grundgesetze, and, later, after learning of Russell's paradox, this position is a natural position for him to have retreated to, when properly understood
|Keywords||number extensions objects Frege functions concepts logicism|
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References found in this work BETA
Gottlob Frege (1991). Posthumous Writings. Wiley-Blackwell.
Gottlob Frege, Philip A. Ebert & Marcus Rossberg (eds.) (2013). Basic Laws of Arithmetic. Oxford University Press.
Bertrand Russell (1919). Introduction to Mathematical Philosophy. Dover Publications.
Gottlob Frege (1953). The Foundations of Arithmetic. Evanston, Ill.,Northwestern University Press.
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