Frege's logic, theorem, and foundations for arithmetic
Stanford Encyclopedia of Philosophy (2008)
| Abstract | In this entry, Frege's logic is introduced and described in some detail. It is shown how the Dedekind-Peano axioms for number theory can be derived from a consistent fragment of Frege's logic, with Hume's Principle replacing Basic Law V. | |||||||||
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Richard Heck (2011). Ramified Frege Arithmetic. Journal of Philosophical Logic 40 (6):715-735.
G. Aldo Antonelli & Robert C. May (2005). Frege's Other Program. Notre Dame Journal of Formal Logic 46 (1):1-17.
John MacFarlane (2002). Frege, Kant, and the Logic in Logicism. Philosophical Review 111 (1):25-65.
Richard G. Heck Jr (1997). Finitude and Hume's Principle. Journal of Philosophical Logic 26 (6):589 - 617.
Richard Heck (1999). Frege's Theorem: An Introduction. The Harvard Review of Philosophy 7 (1):56-73.
Øystein Linnebo (2004). Predicative Fragments of Frege Arithmetic. Bulletin of Symbolic Logic 10 (2):153-174.
Richard Heck (1993). The Development of Arithmetic in Frege's Grundgesetze der Arithmetik. Journal of Symbolic Logic 58 (2):579-601.
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