Gödel's reformulation of Gentzen's first consistency proof for arithmetic: The no-counterexample interpretation
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Bulletin of Symbolic Logic 11 (2):225-238 (2005)
The last section of “Lecture at Zilsel’s” [9, §4] contains an interesting but quite condensed discussion of Gentzen’s ﬁrst version of his consistency proof for P A , reformulating it as what has come to be called the no-counterexample interpretation. I will describe Gentzen’s result (in game-theoretic terms), ﬁll in the details (with some corrections) of Godel's reformulation, and discuss the relation between the two proofs.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Charles Parsons (2009). William Tait. The Provenance of Pure Reason. Essays on the Philosophy of Mathematics and on its History. Philosophia Mathematica 17 (2):220-247.
Julien Boyer & Gabriel Sandu (2012). Erratum To: Between Proof and Truth. Synthese 187 (3):973-974.
Similar books and articles
Thomas Hofweber (2000). Proof-Theoretic Reduction as a Philosopher's Tool. Erkenntnis 53 (1-2):127-146.
Andrés R. Raggio (1964). Direct Consistency Proof of Gentzen's System of Natural Deduction. Notre Dame Journal of Formal Logic 5 (1):27-30.
Jan von Plato & G. Gentzen (2008). Gentzen's Proof of Normalization for Natural Deduction. Bulletin of Symbolic Logic 14 (2):240 - 257.
Richard Zach (forthcoming). Hilbert's Program. Stanford Encyclopedia of Philosophy.
Francesco Berto (2009). There's Something About Gödel: The Complete Guide to the Incompleteness Theorem. Wiley-Blackwell.
Ulrich Kohlenbach (1999). On the No-Counterexample Interpretation. Journal of Symbolic Logic 64 (4):1491-1511.
Kurt Gödel, Solomon Feferman, Charles Parsons & Stephen G. Simpson (eds.) (2010). Kurt Gödel: Essays for His Centennial. Association for Symbolic Logic.
Added to index2009-01-28
Total downloads24 ( #67,651 of 1,096,251 )
Recent downloads (6 months)5 ( #41,639 of 1,096,251 )
How can I increase my downloads?