CURRENT RESEARCH ON GoDEL'S INCOMPLETENESS THEOREMS

被引:4
|
作者
Cheng, Yong [1 ]
机构
[1] Wuhan Univ, Sch Philosophy, Wuhan 430072, Hubei, Peoples R China
关键词
Godel's first incompleteness theorem; Godel's second incompleteness theorem; concrete incompleteness; interpretation; intensionality; PHASE-TRANSITIONS; SELF-REFERENCE; PROOF; COMPLETENESS; EXTENSIONS; PARADOX; SYSTEMS; LOGIC;
D O I
10.1017/bsl.2020.44
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
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页码:113 / 167
页数:55
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