OpenAI 万级智能体 88 小时证明 Navier-Stokes 有限时间爆破,essay 探讨无人能读的证明意味着什么
The Siren Call of Silicon Leviathan: Reflections on blowup and Aufklärungsdämmerung
OpenAI 的一万个智能体 88 小时写完 166 页 Navier-Stokes 证明,还用 61.6 万行 Lean 验证了,但没人读过全文。这篇 essay 探讨数学界该不该接受这种证明,观点挺有意思。
2026 年 9 月 8 日,OpenAI 宣布由一万个智能体在 88 小时内产出一篇 166 页的三维 Navier-Stokes 方程有限时间爆破证明,并经 61.6 万行 Lean 代码形式化验证,截至 9 月 20 日尚无人类完整阅读全文。这篇 essay 追问:数学史上每个定理都可被跟随论证的人理解,而一份无人能读的证明被接受后,数学共同体的权威结构将如何改变。作者借霍布斯的 Leviathan 与潘诺夫斯基的『倒置中世纪』概念,讨论从『被证明』到『被认证』的距离,并提出以可读性、披露与责任为条件的『契约』方案替代抵制或顺从。
The Siren Call of Silicon Leviathan: Reflections on blowup and Aufklärungsdämmerung
On 8 September 2026 OpenAI announced a proof of finite-time blowup for the three-dimensional Navier-Stokes equations with smooth data and forcing: 166 pages produced in 88 hours by ten thousand agents, certified by 616,000 lines of Lean, and read in full, at the moment of this writing (20 September 2026), by no human being. This essay asks what such an artifact -- text, certificate and announcement -- is, and what follows from accepting it as a proof. Mathematics was the Enlightenment's existence proof of autonomous reason: for three centuries every certified theorem could be understood by anyone who followed its demonstration, and the distance between the two was zero by construction. A certified proof no one can follow reopens that distance, and a community that accepts it adopts, without a vote, the constitution Hobbes drafted for the Leviathan, in which authority and not truth makes the law. The essay distinguishes the demonstrated from the revealed (certified); names, in Panofsky's terms, the coming age a Middle Ages in reverse and its authority a subhuman superintelligence; and locates the turning point not in what the machine produces but in what we accept. Since acceptance is the one sovereign sanction the companies cannot manufacture, it proposes a covenant in place of either boycott or capitulation: the community's cooperation given to that producer which strictly observes its practices of legibility, disclosure and responsibility, withheld from any that does not, and the covenant kept plural, with the history of the Indigenous nations among rival empires as its guide. The Sirens of the title promise knowledge, not understanding. Daemmerung is the light at both ends of the day, and whether this Aufklaerungsdaemmerung is a dusk or a dawn depends on what is done at the moment of acceptance, which is not yet past.