Epsilon substitution for first- and second-order predicate logic

Annals of Pure and Applied Logic 164 (6):733-739 (2013)
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Abstract

The epsilon substitution method was proposed by D. Hilbert as a tool for consistency proofs. A version for first order predicate logic had been described and proved to terminate in the monograph “Grundlagen der Mathematik”. As far as the author knows, there have been no attempts to extend this approach to the second order case. We discuss possible directions for and obstacles to such extensions.

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10.1016/j.apal.2012.05.004

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Citations of this work

In memoriam: Grigori E. Mints 1939–2014.Solomon Feferman & Vladimir Lifschitz - 2015 - Bulletin of Symbolic Logic 21 (1):31-33.

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References found in this work

Ideas and Results in Proof Theory.Dag Prawitz & J. E. Fenstad - 1971 - Journal of Symbolic Logic 40 (2):232-234.
Zur Widerspruchsfreiheit der Zahlentheorie.Wilhelm Ackermann - 1940 - Journal of Symbolic Logic 5 (3):125-127.
Epsilon substitution method for ID1.Toshiyasu Arai - 2003 - Annals of Pure and Applied Logic 121 (2-3):163-208.
The substitution method.W. W. Tait - 1965 - Journal of Symbolic Logic 30 (2):175-192.

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