English(EN) A Non-Formulable Theorem: A Fundamental Limit of Finite Syntactic Systems and Its Consequences for Security and AI

新定理识别出人工智能和安全系统的基本限制

作者 PulseAugur 编辑部 · [1 个来源] · 2026-09-04 04:00

一篇新定理《一个不可表述的定理》已在arXiv上发表，它提出了有限句法系统的基本限制。该定理指出，对于任何连贯且足够丰富的有限系统，总会至少存在一个该系统无法自主产生的定理。这一限制被认为对人工智能系统、形式验证器、法律框架和经济模型的安全及发展具有重大影响。 AI

影响这项理论工作表明人工智能系统存在固有的局限性，可能影响未来的发展和安全。

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arXiv cs.AI TIER_1 English(EN) · Fabio F. G. Buono · 2026-09-04 04:00

一个不可表述的定理：有限句法系统的基本局限性及其对安全和人工智能的影响

arXiv:2609.04086v1 Announce Type: cross Abstract: For every coherent and sufficiently expressive finite syntactic system S, we prove the existence of at least one theorem that S cannot produce autonomously. The result is a metatheorem: it proves the existence of a theorem, and ap…