陶哲轩:AI盲目求解有害数学发展
陶哲轩最新观点:AI求解数学问题需谨慎,否则会损害数学探索过程。
陶哲轩在加州理工学院的"数学2.0"讲座中指出,AI能解决过去无法企及的问题,但盲目优化问题求解反而有害数学长期健康发展。他认为数学中的开放问题如同"灯塔",指引探索数学景观,而非终点。AI过早自动解决这些问题会干扰未被探索的路径,使周围领域变得贫瘠。
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.”