Rohan Paul (@rohanpaul_ai) · 2026/10/11 20:29:33
陶哲轩警告 AI 盲目解题危害数学：开放问题应作探索灯塔而非终点，过早自动化解决将导致领域“无菌化”
菲尔兹奖得主陶哲轩在加州理工演讲中指出，AI 目前能攻克以往难以触及的数学难题，但单纯追求解题效率正在损害数学的长期健康。他认为开放问题应作为指引探索数学景观的“灯塔”，其价值在于尝试过程中获得的洞见；若通过自动化工具过早抵达这些“灯塔”，将阻断对未选路径的探索，导致相关研究领域变得贫瘠且“无菌”。
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Rohan Paul (@rohanpaul_ai) · 2026-10-11 12
Terence Tao's slide from the lecture he gave yesterday evening at Caltech “Math 2.0”
AI can now crack open problems that were once out of reach, and he says that is the wrong thing to celebrate on its own. Basically he says chasing problem-solving alone is hurting math.
“Further blind optimization of problem-solving alone is now actively harmful to the long-term health of mathematics.”
“Contrary to popular opinion (or some of our own marketing), mathematicians are not singularly focused on solving open problems.”
“Particularly in pure mathematics, open problems serve as “lighthouses”: not destinations to be reached in and of themselves, but as useful guides to explore the mathematical landscape around these problems.”
“The lessons learned while attempting to solve these problems — whether they succeed, fail, or achieve partial progress — are often more valuable than the final solution to the problem itself.”
“Reaching these lighthouses prematurely by automated tools can disrupt the exploration of the paths not taken, and sterilize the surrounding field.”
“Indiscriminate use of AI to solve problems in a non-renewable fashion damages the long-term health and progress of the field, as well as safe transfer to messier, real-world applications.”
