Mathematics in the age of AI
- ID: e0f06e61
- 原文链接: https://arxiv.org/abs/2608.16753
- PDF: https://arxiv.org/pdf/2608.16753v1
- 作者: Terence Tao
- 日期: 2026-08-17
- 更新: 2026-08-17
- 分类: math.HO
- 来源类型: arxiv
- 标签: mathematics, ai-impact, essay, terence-tao, arxiv
- 质量评分: 4/5
- 抓取时间: 2026-08-20T05:27:37Z
中文导读
陶哲轩基于 2026 年国际数学家大会（ICM）公开演讲的文章，讨论数学界应如何应对能够完成研究级数学任务的 AI 工具文章不争论这些工具的能力高低，而是直接假设这些能力将会到来，转而考察一个正交的问题：数学研究的目标与价值究竟是什么，并以数学中的问题求解环节作为案例展开
为什么值得关注
陶哲轩 ICM 2026 演讲成文：假设研究级 AI 数学能力已经到来，重新审视数学研究的目标与价值
Grounded note: an essay based on Terence Tao's public lecture at the 2026 International Congress of Mathematicians; instead of debating AI capabilities it conditions on their arrival and re-examines what the goals and values of mathematical research are, using problem-solving as a case study. Submitted to the ICM 2026 Proceedings.
关键信息
- 论文标题: Mathematics in the age of AI
- 作者: Terence Tao
- arXiv: https://arxiv.org/abs/2608.16753
- 发布时间: 2026-08-17
- arXiv 分类: math.HO
- Comment: 12 pages, four figures. Submitted to the Proceedings of the ICM 2026
- 关联标签: mathematics, ai-impact, essay, terence-tao, arxiv
English Abstract
An essay, based on a public lecture delivered at the 2026 International Congress of Mathematicians, on how the mathematical community might respond to the arrival of artificial intelligence tools that are capable of performing research-level mathematical tasks. Rather than debating the capabilities of such tools, we condition on the hypothesis that these capabilities will arrive, and examine instead a question that is orthogonal to it: what the goals and values of mathematical research actually are. The problem-solving component of mathematics is used as a case study.
English Summary
An essay, based on a public lecture delivered at the 2026 International Congress of Mathematicians, on how the mathematical community might respond to the arrival of artificial intelligence tools that are capable of performing research-level mathematical tasks. Rather than debating the capabilities of such tools, we condition on the hypothesis that these capabilities will arrive, and examine instead a question that is orthogonal to it: what the goals and values of mathematical research actually are. The problem-solving component of mathematics is used as a case study.
Obsidian Notes
- 内容由
opencli arxiv paper拉取 arXiv 元数据与摘要生成。 - 中文导读与价值判断均锚定在条目已有摘要、论文摘要、作者、日期与分类信息上；未补充论文摘要之外的实验细节。