Article citationsMore>>

Foukzon, J. (2013) Strong Reflection Principles and Large Cardinal Axioms. Fall Southeastern Sectional Meeting University of Louisville, Louisville, KY, 5-6 October 2013.

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 .