David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
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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