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Corrigendum to “Variation on a theme of Schütte”

✍ Scribed by Gerhard Jäger; Dieter Probst

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
36 KB
Volume
51
Category
Article
ISSN
0044-3050

No coin nor oath required. For personal study only.

✦ Synopsis

As observed by G. Mints, Definition 5 on page 262 is too restrictive and does not reflect our intention. What we really had in mind is formulated below. We apologize for this stupid oversight.

Definition 5 (corrected) Let T be any theory which is formulated in a language L(T) comprising L 2 . Then T is called α-equivalent to PA ∞ , in symbols T α PA ∞ , if α is the least ordinal so that T A implies PA ∞ <α 0 A for all semi-closed arithmetic formulas A of L 2 .

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