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English(EN) Shattering the Impossible: How AI Cracked the 87-Year-Old Jacobian Conjecture

Anthropic的Claude Fable 5发现87年前数学猜想的反例 · 追踪8个来源

作者 PulseAugur 编辑部 · [10 个来源] ·

据报道，Anthropic的Claude Fable 5已生成了对雅可比猜想（一个已有87年历史的数学问题）的反例。数学家Levent Alpöge使用该AI模型找到了一个违反该猜想条件的多元函数映射，表明该猜想在高维（高于二维）情况下不成立。目前这些发现正在接受验证，并正使用Lean等系统进行形式化，其影响正促使数学家重新思考AI在纯粹数学研究中的作用。 AI

影响 凸显了AI在纯粹数学研究中日益增长的能力，可能加速发现并开辟新的研究途径。

排序理由 AI模型生成了一个长期存在的数学猜想的反例，引发了验证和讨论。

在 Medium — Claude tag 阅读 →

AI 生成摘要 · Google Gemini · 来自 10 个来源。 我们如何撰写摘要 →

Anthropic的Claude Fable 5发现87年前数学猜想的反例 · 追踪8个来源

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报道来源 [10]

  1. Medium — Claude tag TIER_1 English(EN) · Prince Kushwaha ·

    打破不可能：AI如何攻克87年前的雅可比猜想

    <div class="medium-feed-item"><p class="medium-feed-image"><a href="https://medium.com/@p4prince2/shattering-the-impossible-how-ai-cracked-the-87-year-old-jacobian-conjecture-379defbd74c8?source=rss------claude-5"><img src="https://cdn-images-1.medium.com/max/2600/1*qOD0InadumroQ…

  2. Mastodon — sigmoid.social TIER_1 English(EN) · [email protected] ·

    ‘你好，雅可比猜想是错误的，谢谢你’：一个微小的社交媒体帖子为何让数学家重新思考AI https://www.byteseu.com/2217415/ # AI # Art

    ‘hello there the jacobian conjecture is false thanx’: why a tiny social media post has mathematicians rethinking AI https://www. byteseu.com/2217415/ # AI # ArtificialIntelligence

    链接 byteseu.com/2217415
  3. Mastodon — sigmoid.social TIER_1 日本語(JA) · [email protected] ·

    AI "Claude Fable 5" 提出反例证明87年前的难题“雅可比猜想”，Anthropic 研究人员报告

    AI「Claude Fable 5」が87年来の難問「ヤコビアン予想」を覆す反例を生成したとAnthropic研究者が報告 https:// web.brid.gy/r/https://gigazine .net/news/20260721-claude-fable-5-jacobian-conjecture/

  4. Mastodon — sigmoid.social TIER_1 English(EN) · [email protected] ·

    Claude 找到雅可比猜想的反例 https://news.ycombinator.com/item?id=48973869 # Math # AI # Research

    Claude found a counterexample to the Jacobian Conjecture https://news.ycombinator.com/item?id=48973869 # Math # AI # Research

  5. Mastodon — fosstodon.org TIER_1 한국어(KO) · [email protected] ·

    AI 在一个关于多项式映射的 87 年数学猜想上发现了反例，人类此前未能找到。这涉及到是否总能从输出唯一恢复原始输入的问题，以及 AI 探索数学和生成反例的能力。

    Rohan Paul (@rohanpaul_ai) AI가 다항식 사상(polynomial maps) 관련 87년 된 수학 추측에 대해 인간이 찾지 못한 반례를 발견했다는 내용이다. 출력값으로부터 원래 입력을 항상 유일하게 복원할 수 있는지를 다루는 문제로, AI의 수학 탐색·반례 생성 능력이 순수수학 연구에 적용된 사례로 주목할 만하다. https:// x.com/rohanpaul_ai/status/2079 886422752756216 # ai # mathematics # counterexample…

  6. Mastodon — fosstodon.org TIER_1 English(EN) · [email protected] ·

    数学家们在Anthropic的Claude Fable 5解决了已有87年历史的代数几何雅可比猜想后，正在重新思考AI。Levent Alpoge f

    Mathematicians are rethinking AI after Anthropic's Claude Fable 5 solved the Jacobian conjecture - an 87-year-old problem in algebraic geometry. Levent Alpoge found a counterexample using the LLM, proving the conjecture false in dimensions above 2. https:// theconversation.com/he…

    链接 theconversation.com/hello-there-the-jacob…
  7. Mastodon — fosstodon.org TIER_1 中文(ZH) · [email protected] ·

    雅可比猜想反例出现 # ai #

    https:// blog.gslin.org/archives/2026/0 7/22/13121/jacobian-conjecture-%e7%9a%84%e5%8f%8d%e4%be%8b%e5%87%ba%e7%8f%be%e4%ba%86/ Jacobian conjecture 的反例出現了 # ai # conjecture # function # guess # jacobian # language # large # llm # mathematics # model

    链接 blog.gslin.org/…/jacobian-conjecture-%e7%… blog.gslin.org/…/0
  8. Mastodon — fosstodon.org TIER_1 English(EN) · [email protected] ·

    昨天晚上有人在X上发布了雅可比猜想的一个反例（由LLM发现）。我不链接那个垃圾网站，但有人把它加到了

    Apparently somebody posted a # counterexample to the Jacobian conjecture on X last night (found by an LLM). I won’t link that junk site, but somebody added it to Wikipedia already if you care: https:// en.wikipedia.org/wiki/Jacobian _conjecture#Counterexample Some initial thought…

    链接 en.wikipedia.org/…/Jacobian_conjecture en.wikipedia.org/…/Jacobian
  9. Mastodon — mastodon.social TIER_1 English(EN) · [email protected] ·

    Terrence Tao 关于 ChatGPT 讨论雅可比猜想反例的对话 https://chatgpt.com/share/6a5fdc7a-d6f8-83e8-bbea-8deb42cfed56 # HackerNews # T

    Terrence Tao's ChatGPT Conversation about the Jacobian Conjecture Counterexample https://chatgpt.com/share/6a5fdc7a-d6f8-83e8-bbea-8deb42cfed56 # HackerNews # Tech # AI

    链接 chatgpt.com/…/6a5fdc7a-d6f8-83e8-bbea-8de…
  10. Mastodon — mastodon.social TIER_1 English(EN) · [email protected] ·

    哈佛大学数学家与AI模型或已攻克一项87年前的数学难题

    A Harvard mathematician and an AI model may have cracked an 87-year-old math problem https://www.fastcompany.com/91577272/jacobin-conjecture-anthropic-ai-levent-alpoge # AI # Math # Innovation

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