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Anthropic's Claude Fable 5 finds counterexample to 87-year-old math conjecture · 8 sources tracked

By PulseAugur Editorial · [10 sources] ·

Anthropic's Claude Fable 5 has reportedly generated a counterexample to the Jacobian conjecture, an 87-year-old mathematical problem. Mathematician Levent Alpöge used the AI model to find a polynomial map that violates the conjecture's conditions, suggesting it does not hold true for dimensions above two. The findings are undergoing verification, with formalization efforts underway using systems like Lean, and the implications are prompting mathematicians to reconsider the role of AI in pure mathematics research. AI

IMPACT Highlights AI's growing capability in pure mathematics research, potentially accelerating discovery and prompting new avenues of inquiry.

RANK_REASON AI model generates a counterexample to a long-standing mathematical conjecture, prompting verification and discussion.

Read on Medium — Claude tag →

AI-generated summary · Google Gemini · from 10 sources. How we write summaries →

Anthropic's Claude Fable 5 finds counterexample to 87-year-old math conjecture · 8 sources tracked

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COVERAGE [10]

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

    Shattering the Impossible: How AI Cracked the 87-Year-Old Jacobian Conjecture

    <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] ·

    ‘hello there the jacobian conjecture is false thanx’: why a tiny social media post has mathematicians rethinking 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

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

    AI "Claude Fable 5" Generates Counterexample to 87-Year-Old Difficult Problem "Jacobian Conjecture", Anthropic Researchers Report https:// web.brid.gy/r/https://gigazine .net/news/20260721-claude-fable-5-jacobian-conjecture/

    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 found a counterexample to the Jacobian Conjecture 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] ·

    Rohan Paul (@rohanpaul_ai) AI discovered a counterexample to an 87-year-old mathematical conjecture about polynomial maps, which humans had not found. This deals with the problem of whether the original input can always be uniquely restored from the output, and the AI's ability to explore mathematics and generate counterexamples.

    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] ·

    Mathematicians are rethinking AI after Anthropic's Claude Fable 5 solved the Jacobian conjecture - an 87-year-old problem in algebraic geometry. 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…

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

    Jacobian conjecture counterexample appeared # 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

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

    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 t

    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…

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

    Terrence Tao's ChatGPT Conversation about the Jacobian Conjecture Counterexample 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

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

    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

    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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