David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
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|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
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 (1919/1993). Introduction to Mathematical Philosophy. Dover Publications.
Gottlob Frege (1953/1968). The Foundations of Arithmetic. Evanston, Ill.,Northwestern University Press.
Citations of this work BETA
No citations found.
Similar books and articles
Tyler Burge (1998). Frege on Knowing the Foundation. Mind 107 (426):305-347.
Alexander Bird (1997). The Logic in Logicism. Dialogue 36 (2):341--60.
Edward N. Zalta (1999). Natural Numbers and Natural Cardinals as Abstract Objects: A Partial Reconstruction of Frege"s Grundgesetze in Object Theory". [REVIEW] Journal of Philosophical Logic 28 (6):619-660.
Erich H. Reck (2005). Frege on Numbers: Beyond the Platonist Picture. The Harvard Review of Philosophy 13 (2):25-40.
E. J. Lowe (2003). Identity, Individuality, and Unity. Philosophy 78 (3):321-336.
Gregory Landini (2006). Frege's Cardinals as Concept-Correlates. Erkenntnis 65 (2):207 - 243.
Matthias Schirn (2003). Fregean Abstraction, Referential Indeterminacy and the Logical Foundations of Arithmetic. Erkenntnis 59 (2):203 - 232.
Bird Alexander (1997). The Logic in Logicism. Dialogue 36:341�60.
Øystein Linnebo (2003). Frege's Conception of Logic: From Kant to Grundgesetze. Manuscrito 26 (2):235-252.
Matthias Schirn (2006). Concepts, Extensions, and Frege's Logicist Project. Mind 115 (460):983-1006.
Crispin Wright (1983). Frege's Conception of Numbers as Objects. Aberdeen University Press.
Richard Heck (1993). The Development of Arithmetic in Frege's Grundgesetze der Arithmetik. Journal of Symbolic Logic 58 (2):579-601.
Added to index2011-03-31
Total downloads94 ( #40,976 of 1,789,998 )
Recent downloads (6 months)43 ( #19,805 of 1,789,998 )
How can I increase my downloads?