The collapse of the Hilbert program: why a system cannot prove its own 1-consistency (Abstract)
The Bulletin of Symbolic Logic 15 (2):229-231 (2009)
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Richard Zach (2003). The Practice of Finitism: Epsilon Calculus and Consistency Proofs in Hilbert's Program. Synthese 137 (1-2):211 - 259.
Aleksandar Ignjatović (1994). Hilbert's Program and the Omega-Rule. Journal of Symbolic Logic 59 (1):322-343.
R. A. V. Yehuda (1999). Why Do We Prove Theorems? Philosophia Mathematica 7 (1).
Panu Raatikainen (2003). Hilbert's Program Revisited. Synthese 137 (1-2):157 - 177.
Thomas Hofweber (2000). Proof-Theoretic Reduction as a Philosopher's Tool. Erkenntnis 53 (1-2):127-146.
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