Russell's paradox in consistent fragments of Frege's grundgesetze der arithmetik
In Godehard Link (ed.), One Hundred Years of Russell’s Paradox. de Gruyter (2004)
| Abstract | We provide an overview of consistent fragments of the theory of Frege’s Grundgesetze der Arithmetik that arise by restricting the second-order comprehension schema. We discuss how such theories avoid inconsistency and show how the reasoning underlying Russell’s paradox can be put to use in an investigation of these fragments. | |||||||||
| Keywords | No keywords specified (fix it) | |||||||||
| Categories | ||||||||||
| Options |
|
|||||||||
| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,709 |
| External links |
|
| Through your library | Configure |
Gottlob Frege (1950). Frege Against the Formalists (II): A Translation of Part of Grundgesetze der Arithmetik. Philosophical Review 59 (2):202-220.
G. Frege (1960). Grundgesetze der Arithmetik. Section 56ff. In P. Geach & M. Black (eds.), Translations From the Philosophical Writings of Gottlob Frege. Blackwell.
Richard Heck (1993). The Development of Arithmetic in Frege's Grundgesetze der Arithmetik. Journal of Symbolic Logic 58 (2):579-601.
Richard Heck & George Boolos (1998). Die Grundlagen der Arithmetik §§82-83. In M. Schirn (ed.), Philosophy of Mathematics Today. OUP.
Richard Heck (1995). Definition by Induction in Frege's Grundgesetze der Arithmetik. In W. Demopoulos (ed.), Frege's Philosophy of Mathematics. OUP.
Kai F. Wehmeier (1999). Consistent Fragments of Grundgesetze and the Existence of Non-Logical Objects. Synthese 121 (3):309-328.
Fernando Ferreira & Kai F. Wehmeier (2002). On the Consistency of the Δ11-CA Fragment of Frege's Grundgesetze. Journal of Philosophical Logic 31 (4):301-311.
Fernando Ferreira (2005). Amending Frege's "Grundgesetze der Arithmetik" to the Memory of Nhê (1925-2001). Synthese 147 (1):3 - 19.
Fernando Ferreira (2005). Amending Frege's Grundgesetze der Arithmetik. Synthese 147 (1).
Richard Heck (1996). The Consistency of Predicative Fragments of Frege's Grundgesetze der Arithmetik. History and Philosophy of Logic 17 (1):209-220.
Monthly downloads |
Added to index2009-01-28Total downloads13 ( #88,037 of 549,754 )Recent downloads (6 months)3 ( #25,807 of 549,754 )How can I increase my downloads? |

