Unverified50% confidenceFactExact time
In 1931, Gödel proved the incompleteness theorems: any consistent formal system that includes arithmetic of natural numbers must contain propositions that can neither be proved nor disproved within the system, and the system cannot prove its own consistency internally.
1
Sources
50%
Confidence
Long-term
Relevance
8/7/2026
First Seen
Sources
从莱布尼茨到ChatGPT：350年机器理解人类语言探索史
Related Claims
Unverified三体问题对任意初始条件都不存在通用的闭式解，庞加莱在19世纪末通过数学证明揭示了其不可积性73% similarUnverifiedTerence Tao stated that complex mathematical proofs still require human completion, and he would not have Claude attempt proofs of certain lemmas because it either fails or produces very ugly proofs.69% similarUnverifiedNoether's theorem was proved by German mathematician Emmy Noether in 1915, revealing the correspondence between continuous symmetries of physical systems and conservation laws.66% similarUnverifiedDeMillo 等人认为数学定理被信任是因为经历了社会过程（被数学家反复阅读、检验、引用），而程序的形式化证明缺少这种社会过程65% similarUnverified形式化证明系统的理论基础来自类型论和Curry-Howard同构，任何逻辑漏洞都会导致类型检查失败65% similar
Cite This Claim
Stable URI
https://kongchang.com/claim/702558API
curl https://kongchang.com/api/v1/knowledge/claims/702558MCP
get_claim(id=702558)