On a Relationship between Gödel's Second Incompleteness Theorem and Hilbert's Program

Annals of the Japan Association for Philosophy of Science 17:13-29 (2009)
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10.4288/jafpos.17.0_13

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Citations of this work

Gödel mathematics versus Hilbert mathematics. I. The Gödel incompleteness (1931) statement: axiom or theorem?Vasil Penchev - 2022 - Logic and Philosophy of Mathematics eJournal (Elsevier: SSRN) 14 (9):1-56.
On Rosser's provability predicates.Taishi Kurahashi - 2014 - Journal of the Japan Association for Philosophy of Science 41 (2):93-101.
Proof Theory as an Analysis of Impredicativity.Ryota Akiyoshi - 2012 - Journal of the Japan Association for Philosophy of Science 39 (2):93-107.

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References found in this work

Finitism.W. W. Tait - 1981 - Journal of Philosophy 78 (9):524-546.
A survey of proof theory.G. Kreisel - 1968 - Journal of Symbolic Logic 33 (3):321-388.
Hilbert's programme.Georg Kreisel - 1958 - Dialectica 12 (3‐4):346-372.
What does Gödel's second theorem say?Michael Detlefsen - 2001 - Philosophia Mathematica 9 (1):37-71.

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