David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
There is a familiar derivation of G¨ odel’s Theorem from the proof by diagonalization of the unsolvability of the Halting Problem. That proof, though, still involves a kind of self-referential trick, as we in effect construct a sentence that says ‘the algorithm searching for a proof of me doesn’t halt’. It is worth showing, then, that some core results in the theory of partial recursive functions directly entail G¨ odel’s First Incompleteness Theorem without any further self-referential trick.
|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
No citations found.
Similar books and articles
Haim Gaifman (2006). Naming and Diagonalization, From Cantor to Gödel to Kleene. Logic Journal of the Igpl 14 (5):709-728.
Melvin Fitting (2008). A Quantified Logic of Evidence. Annals of Pure and Applied Logic 152 (1):67-83.
Dick Jongh, Marc Jumelet & Franco Montagna (1991). On the Proof of Solovay's Theorem. Studia Logica 50 (1):51 - 69.
William Tait (2001). Godel's Unpublished Papers on Foundations of Mathematics. Philosophia Mathematica 9 (1):87-126.
Paolo Gentilini (1999). Proof-Theoretic Modal PA-Completeness III: The Syntactic Proof. Studia Logica 63 (3):301-310.
Added to index2010-03-13
Total downloads26 ( #117,485 of 1,726,580 )
Recent downloads (6 months)4 ( #183,604 of 1,726,580 )
How can I increase my downloads?