The monadic theory of ω2-Reference-Cited by-同舟云学术

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The monadic theory of ω2

Published:1983-06 Issue:2 Volume:48 Page:387-398
ISSN:0022-4812
Container-title:Journal of Symbolic Logic
language:en
Short-container-title:J. symb. log.

Author:

Gurevich Yuri,Magidor Menachem,Shelah Saharon

Abstract

AbstractAssume ZFC + “There is a weakly compact cardinal” is consistent. Then:(i) For every S ⊆ ω, ZFC + “S and the monadic theory of ω2 are recursive each in the other” is consistent; and(ii) ZFC + “The full second-order theory of ω2 is interpretable in the monadic theory of ω2” is consistent.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference9 articles.

1. A new class of order types

2. The monadic second order theory of ω1

3. Magidor Menachem , Reflecting stationary sets, this Journal (to appear).

4. A weak generalization of MA to higher cardinals

5. Unramified forcing

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