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9月11日,全球25位菲尔兹奖得主发表联名公开信,严厉警告人工智能对数学学科根基的潜在破坏。数学家们谴责AI科技巨头并非出于纯粹的学术探索精神,而仅仅是将解决前沿数学难题作为衡量和展示其商业大模型性能的基准工具,这种功利化做法严重损害了数学科学及学术共同体的发展。此番抗议的直接导火索,是OpenAI于9月8日宣布已成功攻克“纳维-斯托克斯方程”(Navier-Stokes)的存在性与光滑性问题——该问题是克雷数学研究所于2000年指定的七大“千禧年大奖难题”之一,公认为数学界最艰深、最重要的挑战。

OpenAI的这一单方面突破令长期攻关该难题的数学家特里斯坦·巴克马斯特(Tristan Buckmaster)和莱文特·阿尔珀盖(Levent Alpöge)措手不及,而该机构随后发布的166页学术论文更是引发了激烈争议。尽管篇幅宏大,该论文却极度缺乏传统数学界用于解释核心证明机制、逻辑直觉和理论洞察的详尽细节,且所用关键模型完全未向公众开放。菲尔兹奖得主陶哲轩(Terence Tao)此前虽认可AI在拓展探索边界上的积极作用,但联名学者普遍担忧,如果剥离了推导证明过程中激发新问题与新分支的求索过程,数学将失去其核心精髓;正如菲尔兹奖得主杜米尼尔-科普兰(Hugo Duminil-Copin)所比喻,被直升机空投到珠峰之巅与真正攀登珠峰有着本质区别。

这场纷争进一步引发了人们对学术研究“认知卸载”(cognitive offloading)和思维能力退化的深层忧虑。正如哥伦比亚大学2011年的研究证实搜索引擎普及弱化了人类自主记忆力,瑞士商学院的最新研究同样指出,高频使用AI工具与批判性思维能力之间存在显著负相关。随着学术界因防范技术截胡而可能走向闭门造车,OpenAI等科技公司描绘的“由AI决定研究课题”的未来图景,正促使人类将最深刻的抽象思维工作全盘让渡给算法。这一争端不仅关乎知识产权与发表伦理,更决定了技术是增强人类智慧,还是如苏格拉底当年对文字的警世预言那样,最终导致人类智识的退化。

On September 11th, an extraordinary open letter signed by 25 Fields Medal winners issued a stark warning regarding the intrusion of artificial intelligence into pure mathematics. The eminent mathematicians argued that technology corporations are solving frontier problems merely to benchmark proprietary model performance rather than advancing intellectual inquiry, an approach they condemned as detrimental to the scientific integrity of the mathematical discipline. The immediate catalyst was OpenAI’s announcement on September 8th claiming a definitive solution to the Navier-Stokes existence and smoothness problem—one of seven historic Millennium Prize Problems designated in 2000 by the Clay Mathematics Institute as the field’s most vital and intractable challenges.

OpenAI’s claimed breakthrough abruptly gazumped academic researchers Tristan Buckmaster and Levent Alpöge, who had been actively closing in on a solution. Although OpenAI disseminated a 166-page technical manuscript detailing its findings, the documentation notably lacked the deep conceptual exposition, intermediate logical frameworks, and reproducible clarity customary in peer-reviewed mathematics, relying on unreleased internal models. While prominent signatories like Terence Tao acknowledge AI’s utility for exploratory experimentation, the collective concern centers on the erasure of mathematical methodology. As signatory Hugo Duminil-Copin observed, being airdropped onto the summit of Mount Everest differs profoundly from ascending it, because foundational proofs historically generate vital new sub-disciplines and conceptual questions rather than merely final numerical answers.

The dispute crystallises broader anxieties regarding cognitive offloading and the atrophy of advanced human analytical capabilities. Research dating back to Betsy Sparrow’s 2011 Columbia University study revealed that technological retrieval mechanisms quickly displace organic mental recall, while contemporary findings from the SBS Swiss Business School document a direct negative correlation between frequent reliance on AI utilities and critical-thinking competence. If academic mathematicians restrict open collaboration to prevent proprietary pre-emption, the field risks intellectual fragmentation. As tech executives anticipate autonomous agents determining which core theorems to pursue, unchecked cognitive delegation threatens to erode the profound habits of mind that have historically anchored scientific discovery.

Source: Top mathematicians are outraged by OpenAI’s methods

Subtitle: 24 Fields Medal winners have written a letter of objectio

Dateline: Sep 17th 2026\n


2026-09-19 (Saturday) · 85107b3f6ff765bd1138363e1f77f63135fb6a48