25位菲尔兹奖得主发表联名信,批评AI公司与数学社区存在严重的目标偏离。1这封题为《AI在数学中的严重不对齐》的信函指出,AI公司优先追求快速发布解决方案,而忽视了概念理解和洞察,导致"解决方案仓促发布,没有时间进行适当的论文撰写、新方法隔离和引用他人工作"。1信函发表的契机是OpenAI宣布解决纳维叶-斯托克斯存在性与光滑性问题之后。1
联名信不仅批评AI行业,也反思数学界自身的问题。1作者通过历史案例论证了数学社区在人才培育上的缺陷。Olga Ladyzhenskaya在1958年证明了二维纳维叶-斯托克斯方程的全局存在唯一性,但36岁时入选菲尔兹奖名单却未获奖,直到2014年Maryam Mirzakhani才成为首位女性菲尔兹奖获得者。1Karen Uhlenbeck在1968年获得博士学位后被告知"人们不雇佣女性"和"女性应该回家生孩子",最终在2019年成为首位女性阿贝尔奖得主。1Julia Robinson因"nepotism rule"被禁止教授数学长达35年,直到1976年被选入国家科学院才获得任职机会。1信函作者在伯克利数学系18年期间目睹多起性骚扰事件和导师不当对待学生的现象。1
联名信建议,AI与数学应共同对齐于理解、学术诚实和人才培育这些根本目标。1
Twenty-five Fields Medal winners have issued a joint letter asserting that artificial intelligence companies and the mathematics community are fundamentally misaligned in their objectives and values 1. The signatories argue that AI firms prioritize rapid deployment of solutions over conceptual understanding and rigor, while the mathematical community itself has historically failed to adequately nurture talent and intellectual development 1.
The letter, titled "Severe Misalignment of AI in Mathematics," was prompted by OpenAI's announcement of progress toward resolving the Navier-Stokes existence and smoothness problem 1. The mathematicians contend that AI companies operate under an ethos of expedited problem-solving, where "solutions are hastily released without time for proper paper writing, method isolation, and citation of prior work" 1. In contrast, they emphasize that mathematics should prioritize "conceptual understanding and insight as the foremost objective" 1. The authors call for AI and mathematics to jointly realign themselves toward understanding, academic integrity, and the cultivation of talent 1.
The letter draws on historical examples from mathematics itself to illustrate systemic failures in supporting researchers. Olga Ladyzhenskaya proved the global existence and uniqueness of solutions to the two-dimensional Navier-Stokes equations in 1958 and was considered for the Fields Medal at age 36, but did not receive it; Maryam Mirzakhani became the first female Fields Medal recipient in 2014 1. Karen Uhlenbeck was told after earning her doctorate in 1968 that "people do not hire women" and that "women should go home and have children," before becoming the first female Abel Prize winner in 2019 1. Julia Robinson was barred from teaching mathematics for 35 years due to a "nepotism rule," gaining an academic position only after her 1976 election to the National Academy of Sciences 1. Juliusz Schauder was rejected from an academic appointment because of antisemitism and was ultimately killed under Nazi rule 1. The letter's author witnessed multiple instances of sexual harassment and improper mentoring during 18 years in the mathematics department at Berkeley 1.
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