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Foukzon, J. and Men’kova, E.R. (2013) Generalized Löb’s Theorem. Strong Reflection Principles and Large Cardinal Axioms. Advances in Pure Mathematics, 3, 368-373.
https://doi.org/10.4236/apm.2013.33053

has been cited by the following article:

• TITLE: There Is No Standard Model of ZFC and ZFC2 with Henkin Semantics

  AUTHORS: Jaykov Foukzon, Elena Men’kova

  KEYWORDS: Gödel Encoding, Completion of ZFC, Russell’s Paradox, ω-Model, Henkin Semantics, Full Second-Order Semantic, Strongly Inaccessible Cardinal

  JOURNAL NAME: Advances in Pure Mathematics, Vol.9 No.9, September 16, 2019

  ABSTRACT: In this article we proved so-called strong reflection principles corresponding to formal theories Th which has omega-models or nonstandard model with standard part. A possible generalization of Löb’s theorem is considered. Main results are: 1) , 2) , 3) , 4) , 5) let k be inaccessible cardinal then .