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CURRENT RESEARCH ON GÖDEL’S INCOMPLETENESS THEOREMS

Yong Cheng

2020 · DOI: 10.1017/bsl.2020.44
Bulletin of Symbolic Logic · 12 Citations

TLDR

A survey of current research on Gödel’s incompleteness theorems from the following three aspects: classifications of different proofs, the limit of the applicability of Gödel's first incomple completeness theorem, and the limitof the applicable of Gö DEL’S second incompletteness theorem.

Abstract

Abstract We give a survey of current research on Gödel’s incompleteness theorems from the following three aspects: classifications of different proofs of Gödel’s incompleteness theorems, the limit of the applicability of Gödel’s first incompleteness theorem, and the limit of the applicability of Gödel’s second incompleteness theorem.