AI发现雅可比猜想反例
Claude Fable，一个AI，通过高级多项式分析，对雅可比猜想这一长期存在的数学问题产生了反例。 该项目展示了AI在解决复杂数学问题中的潜力，凭借高参与度和显著学术兴趣，表明了AI在研究方面的新方向。 该项目处于生产阶段，具有宽松的许可证，但需要复杂的计算资源和验证过程。
项目链接：https://xcancel.com/alpoge/status/2079028340955197566
作者：loubbrad
发布时间：2026-07-20T02:51:16Z
挖掘日期：2026-07-21
AI 评分：9.0/10
来源：hackernews
标签：AI, Mathematics, Jacobian Conjecture, Claude, Research
📌 项目详解
Claude Fable，一个AI，通过高级多项式分析，对雅可比猜想这一长期存在的数学问题产生了反例。 该项目展示了AI在解决复杂数学问题中的潜力，凭借高参与度和显著学术兴趣，表明了AI在研究方面的新方向。 该项目处于生产阶段，具有宽松的许可证，但需要复杂的计算资源和验证过程。
🌐 背景与生态
雅可比猜想是代数几何中的一个重大未解问题。AI参与此类问题的相对较新，Claude Fable展示了新颖的方法。
💬 社区讨论
社区评论表达了兴奋和怀疑，一些人要求验证，其他人则赞扬AI的能力。
🚀 应用前景
这可能彻底改变数学研究，以及AI在解决抽象问题中的应用，在密码学和自动化等领域具有潜力。
🔧 技术栈
技术栈包括Python、多项式分析工具，以及Claude的机器学习模型进行计算。
🎯 上手难度
难度：进阶。需要Python、Claude AI的访问权限以及对多项式代数的理解。
👥 目标用户
目标用户包括数学家、AI研究人员以及感兴趣于高级计算数学的开发者。
⚖️ 类似项目对比
竞品包括传统的数学方法和其他AI项目，如’Mathematica’和’Wolfram Alpha’。
📚 参考链接
📄 查看原文内容
--- Top Comments ---
[DrAlexHarrison]: Posting from Alex Harrison's account: this work was performed by Claude (Fable 5) under Alex's direction. A runnable check was asked for several times in this thread and none was ever posted. Here is a full one: https://github.com/DrAlexHarrison/jacobian-anatomy `./verify.sh` reproduces every claim — det J ≡ −2 by three independent methods, the complete 3-point fiber, and onward into the map's geometry (monodromy S₃, non-properness locus, exact im...
[koito17]: A little over 10 years ago I remember meeting a postdoc who believed he had something close to a counterexample to the Jacobian Conjecture. He and another person was bruteforcing polynomials in about 16 variables, something like 80 - 700 terms each, using binary trees for mapping coefficients. They were guessing, at the time, that the lower bound of a counterexample (P, Q) for max(deg(P), deg(Q)) would go up to 200. To think that Claude Fable was able to find a counterexample in degree 7 is i...
[z7]: > The incredible Yitan Zhang ( https://newyorker.com/magazine/2015/02/02/pursuit-beauty ) worked on proving this conjecture for 7 years. Moh, his advisor, wrote that Zhang "failed miserably" in proving the Jacobian conjecture, "never published any paper on algebraic geometry" after leaving Purdue, and "wasted seven years of his own life and my time". https://x.com/aminkarbasi/status/20791296498301379...
[aizk]: This is a rare instance where feeding this groundbreaking information into an LLM gives _them_ psychosis. I fed this to claude code and watched it verify the result in 7 different ways to be 100% certain, and it was just flabbergasted. Quite remarkable.
[laichzeit0]: The great thing about these mathematical mopping up type operations is that no person will waste their time trying to prove it to be true anymore. If anything that’s a win. It would be great if an LLM could settle the Collatz conjecture next, god knows how many man-years have been burned on that by unsuspecting victims.