CURRENT RESEARCH ON GoDEL'S INCOMPLETENESS THEOREMS

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

Automated summary

The article provides an overview of current research on Godel's incompleteness theorems, focusing on the classification of different proofs, the limitations of the applicability of Godel's first incompleteness theorem, and the limitations of the applicability of Godel's second incompleteness theorem.