陶哲轩新论文:AI 将颠覆数学实践与价值

Rohan Paul · @rohanpaul_ai · X·2026-08-21 04:18·5天前
AI 导读

陶哲轩新论文指出,AI 可能让数学证明变得充裕,而数学界尚未适应这种充裕。他认为数学正进入类似基础危机的动荡期,但这次被压力测试的是数学的价值与实践框架,而非真理基础。他主张必须将数学中未言明的目标(如何为贡献、何为理解、谁完成了工作)变得更加明确。

Rohan Paul@rohanpaul_ai
31AI 编辑部评分,满分 100

陶哲轩新论文:AI 将颠覆数学实践与价值

2026-08-21 04:18· 5天前
AI 导读

陶哲轩新论文指出,AI 可能让数学证明变得充裕,而数学界尚未适应这种充裕。他认为数学正进入类似基础危机的动荡期,但这次被压力测试的是数学的价值与实践框架,而非真理基础。他主张必须将数学中未言明的目标(如何为贡献、何为理解、谁完成了工作)变得更加明确。

Terence Tao’s new paper.

AI may make proof generation abundant before mathematics has adapted to abundance.

"I believe that we are now entering a era of comparable turbulence in mathematics.

This time, though, what is being stress-tested is not our foundational framework for mathematical truth, but rather the largely implicit framework of mathematical values and practices: what we consider a contribution to be, what we reward, what we regard as understood, and who — or what — we regard as having done the work.

I argue that it will become necessary to make these unwritten goals of mathematics much more explicit"

来源:Rohan Paul· x.com