Frege on Consistency and Conceptual Analysis

Philosophia Mathematica 15 (3):321-346 (2007)
Abstract
Gottlob Frege famously rejects the methodology for consistency and independence proofs offered by David Hilbert in the latter's Foundations of Geometry. The present essay defends against recent criticism the view that this rejection turns on Frege's understanding of logical entailment, on which the entailment relation is sensitive to the contents of non-logical terminology. The goals are (a) to clarify further Frege's understanding of logic and of the role of conceptual analysis in logical investigation, and (b) to point out the extent to which his understanding of logic differs importantly from that of the model-theoretic tradition that grows out of Hilbert's work
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1093/philmat/nkm028
Options
 Save to my reading list
Follow the author(s)
Edit this record
My bibliography
Export citation
Find it on Scholar
Mark as duplicate
Request removal from index
Revision history
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 31,317
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA
The Breadth of the Paradox.Patricia Blanchette - 2016 - Philosophia Mathematica 24 (1):30-49.
Conceptual Analysis and Analytical Definitions in Frege.Gilead Bar‐Elli - 2017 - European Journal of Philosophy 25 (4):963-984.

View all 7 citations / Add more citations

Similar books and articles
Frege, Kant, and the Logic in Logicism.John MacFarlane - 2002 - Philosophical Review 111 (1):25-65.
Frege's Reduction.Patricia A. Blanchette - 1994 - History and Philosophy of Logic 15 (1):85-103.
Frege and Hilbert on Consistency.Patricia A. Blanchette - 1996 - Journal of Philosophy 93 (7):317-336.
On Frege's Two Notions of Sense.Guillermo E. Rosado Haddock - 1986 - History and Philosophy of Logic 7 (1):31-41.
Frege's New Science.G. Aldo Antonelli & Robert C. May - 2000 - Notre Dame Journal of Formal Logic 41 (3):242-270.
Aspekte der frege–hilbert-korrespondenz.Kai F. Wehmeier - 1997 - History and Philosophy of Logic 18 (4):201-209.
Frege, Hilbert, and the Conceptual Structure of Model Theory.William Demopoulos - 1994 - History and Philosophy of Logic 15 (2):211-225.
Added to PP index
2009-01-28

Total downloads
119 ( #46,481 of 2,223,812 )

Recent downloads (6 months)
3 ( #180,515 of 2,223,812 )

How can I increase my downloads?

Monthly downloads
My notes
Sign in to use this feature