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Generalized Löb’s Theorem. Strong Reflection Principles and Large Cardinal Axioms
Israel Institute of Technology, Haifa, Israel
Lomonosov Moscow State University, Moscow, Russia
- 1 Israel Institute of Technology, Haifa, Israel
- 2 Lomonosov Moscow State University, Moscow, Russia
Advances in Pure Mathematics·Volume 03 (2013)·Pages 368–373·Published 8 May 2013·DOI10.4236/apm.2013.33053
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Abstract
In this article, a possible generalization of the L?b’s theorem is considered. Main result is: let κ be an inaccessible cardinal, then .
KeywordsLöb’s TheoremSecond Godel TheoremConsistencyFormal SystemUniform Reflection Principles<i>ω</i>-Model of ZFCStandard Model of ZFCInaccessible Cardinal
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