OpenAI 模型推翻 Erdős 单位距离猜想,数学界迎来 AI 突破

Very proud that an OpenAI model disproved Erdős’s …

精选理由

数学研究者或对 AI 推理能力感兴趣的人会震撼——OpenAI 模型解决了数论几何交叉的经典难题,证明过程优雅且可验证。建议点开看看 AI 如何用代数数论工具攻克几何猜想,这对理解 AI 在严谨科学中的潜力很有启发。

AI 摘要

OpenAI 的一个模型成功推翻了 Erdős 长期未解的单位距离猜想,给出了一个优雅而复杂的证明,融合了代数数论与几何的深刻思想。数学成为 AI 研究突破最显著的领域,专家们愿意与 AI 生成的证明深度互动。OpenAI 强调目标并非取代人类,而是探索人类在强大 AI 时代仍能发挥重要作用的路径。团队计划与数学界合作,并将经验推广到编程和通用协作领域。

原文 · Mark Chen (OpenAI 研究)

Very proud that an OpenAI model disproved Erdős’s …

Very proud that an OpenAI model disproved Erdős’s longstanding unit distance conjecture, with an elegant and intricate proof that brings sophisticated ideas from algebraic number theory to bear on geometry.

For whatever reason, mathematics has been the field most amenable to research breakthroughs with AI. I consider it lucky that it was mathematics after all - a field where experts have been willing to engage deeply with us, and with proofs generated by our models. I'm grateful for that, and don't take it for granted. Math is an artistic endeavor, and perhaps for artists, it is precisely their appreciation for art that saves them from the possibly grotesque feeling of a machine producing it.

Our goal is not to replace humans. We aim to chart a path forward where humans continue to have a significant role to play, even as we build exceptionally powerful AI. I am excited to use math as a domain to explore these paths, and @SebastienBubeck, @merettm, and I are excited to engage with the broader mathematical community to chart them together. Please reach out if you are interested!

I'm optimistic this will help us navigate how AI impacts society in domains like coding and general co-working.

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