Frege's theorem and his logicism
History and Philosophy of Logic 21 (4):265-295 (2000)
| Abstract | As is well known, Frege gave an explicit definition of number (belonging to some concept) in ?68 of his Die Grundlagen der Arithmetik | |||||||||
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John MacFarlane (2002). Frege, Kant, and the Logic in Logicism. Philosophical Review 111 (1):25-65.
Richard Heck (1993). The Development of Arithmetic in Frege's Grundgesetze der Arithmetik. Journal of Symbolic Logic 58 (2):579-601.
Peter M. Simons (1987). Frege's Theory of Real Numbers. History and Philosophy of Logic 8 (1):25--44.
Richard Heck (1995). Definition by Induction in Frege's Grundgesetze der Arithmetik. In W. Demopoulos (ed.), Frege's Philosophy of Mathematics. OUP.
Øystein Linnebo (2004). Predicative Fragments of Frege Arithmetic. Bulletin of Symbolic Logic 10 (2):153-174.
Matthias Schirn (2011). On Translating Frege's Die Grundlagen der Arithmetik. History and Philosophy of Logic 31 (1):47-72.
Richard Heck & George Boolos (1998). Die Grundlagen der Arithmetik §§82-83. In M. Schirn (ed.), Philosophy of Mathematics Today. OUP.
Matthias Schirn (2003). Fregean Abstraction, Referential Indeterminacy and the Logical Foundations of Arithmetic. Erkenntnis 59 (2):203 - 232.
Sanford Shieh (2008). Frege on Definitions. Philosophy Compass 3 (5):992-1012.
William Demopoulos (1994). The Contemporary Interest of an Old Doctrine. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1994:209 - 216.
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