David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Philosophical Review 111 (1):25-65 (2002)
Let me start with a well-known story. Kant held that logic and conceptual analysis alone cannot account for our knowledge of arithmetic: “however we might turn and twist our concepts, we could never, by the mere analysis of them, and without the aid of intuition, discover what is the sum [7+5]” (KrV, B16). Frege took himself to have shown that Kant was wrong about this. According to Frege’s logicist thesis, every arithmetical concept can be defined in purely logical terms, and every theorem of arithmetic can be proved using only the basic laws of logic. Hence, Kant was wrong to think that our grasp of arithmetical concepts and our knowledge of arithmetical truth depend on an extralogical source—the pure intuition of time (Frege 1884, §89, §109). Arithmetic, properly understood, is just a part of logic.
|Keywords||No keywords specified (fix it)|
|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
No references found.
Citations of this work BETA
Sacha Golob (2013). Heidegger on Kant, Time and the 'Form' of Intentionality. British Journal for the History of Philosophy 21 (2):345 - 367.
Daniele Mezzadri (2015). Frege on the Normativity and Constitutivity of Logic for Thought I. Philosophy Compass 10 (9):583-591.
Sean Walsh & Sean Ebels-Duggan (2015). Relative Categoricity and Abstraction Principles. Review of Symbolic Logic 8 (3):572-606.
Daniele Mezzadri (2015). Frege on the Normativity and Constitutivity of Logic for Thought II. Philosophy Compass 10 (9):592-600.
Colin McLear (2014). The Kantian (Non)‐Conceptualism Debate. Philosophy Compass 9 (11):769-790.
Similar books and articles
Michael Dummett (1982). Frege and Kant on Geometry. Inquiry 25 (2):233 – 254.
G. Aldo Antonelli & Robert C. May (2005). Frege's Other Program. Notre Dame Journal of Formal Logic 46 (1):1-17.
Øystein Linnebo (2003). Frege's Conception of Logic: From Kant to Grundgesetze. Manuscrito 26 (2):235-252.
Mitchell S. Green, Review of Frege Making Sense , by Michael Beaney. London, U.K.: Duckworth, 1996. Pp. IX+358. [REVIEW]
Richard Heck (1993). The Development of Arithmetic in Frege's Grundgesetze der Arithmetik. Journal of Symbolic Logic 58 (2):579-601.
Richard Heck (2011). Ramified Frege Arithmetic. Journal of Philosophical Logic 40 (6):715-735.
Mary Tiles (1980). Kant, Wittgenstein and the Limits of Logic. History and Philosophy of Logic 1 (1-2):151-170.
Sanford Shieh (2008). Frege on Definitions. Philosophy Compass 3 (5):992-1012.
Patricia A. Blanchette (1994). Frege's Reduction. History and Philosophy of Logic 15 (1):85-103.
Added to index2009-01-28
Total downloads165 ( #12,529 of 1,727,166 )
Recent downloads (6 months)21 ( #40,147 of 1,727,166 )
How can I increase my downloads?