The Ins and Outs of Frege's Way Out

Philosophia Mathematica 14 (1):1-25 (2006)

Gregory Landini
University of Iowa
Confronted with Russell's Paradox, Frege wrote an appendix to volume II of his Grundgesetze der Arithmetik. In it he offered a revision to Basic Law V, and proclaimed with confidence that the major theorems for arithmetic are recoverable. This paper shows that Frege's revised system has been seriously undermined by interpretations that transcribe his system into a predicate logic that is inattentive to important details of his concept-script. By examining the revised system as a concept-script, we see how Frege imagined that minor modifications of his former proofs would recover arithmetic
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1093/philmat/nkj001
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 38,955
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

Zermelo and Russell's Paradox: Is There a Universal Set?G. Landini - 2013 - Philosophia Mathematica 21 (2):180-199.

Add more citations

Similar books and articles

The Ins and Outs of Mysticism.Kevin Hart - 1991 - Sophia 30 (1):8-15.
The Ins and Outs of 'Metaknowledge'.John Bender - 1988 - Analysis 48 (4):167 - 176.
The Ins and Outs of Introspection.Philip Robbins - 2006 - Philosophy Compass 1 (6):617–630.
I. The Ins and Outs of Teleology: A Critical Examination of Woodfield∗.Larry Wright - 1978 - Inquiry: An Interdisciplinary Journal of Philosophy 21 (1-4):223-237.
The Ins and Outs of Perception.David Woodruff Smith - 1986 - Philosophical Studies 49 (March):187-211.
The Ins and Outs of Consciousness.Jesse J. Prinz - 2000 - Brain and Mind 1 (2):245-56.
Frege‐Russell Semantics?Howard Wettstein - 1990 - Dialectica 44 (1‐2):113-135.


Added to PP index

Total views
24 ( #304,569 of 2,319,376 )

Recent downloads (6 months)
1 ( #800,908 of 2,319,376 )

How can I increase my downloads?

Monthly downloads

My notes

Sign in to use this feature