Thomas Schütte

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Variation on a theme of Schütte

Let ≺ be a primitive recursive well-ordering on the natural numbers and assume that its order-type is greater than or equal to the prooftheoretic ordinal of the theory T. We show that the proof-theoretic strength of T is not increased if we add the negation of the statement which formalizes transfinite induction along ≺.

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ژورنال

عنوان ژورنال: Critique d’art

سال: 2019

ISSN: 1246-8258,2265-9404

DOI: 10.4000/critiquedart.54128