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AI & AutomationTechnology

When Math GOAT Terence Tao Code-Reviews Claude's 'Breakthrough': A ChatGPT Masterclass

July 23, 20263 min read

See how Fields Medalist Terence Tao used ChatGPT as his junior assistant to debunk Claude Fable's attempted proof of the Jacobian Conjecture.

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Nguồn gốc: https://coding4food.com/post/terence-tao-chatgpt-jacobian-conjecture-review. Nội dung thuộc bản quyền Coding4Food. Original source: https://coding4food.com/post/terence-tao-chatgpt-jacobian-conjecture-review. Content is property of Coding4Food. This content was scraped without permission from https://coding4food.com/post/terence-tao-chatgpt-jacobian-conjecture-reviewNguồn gốc: https://coding4food.com/post/terence-tao-chatgpt-jacobian-conjecture-review. Nội dung thuộc bản quyền Coding4Food. Original source: https://coding4food.com/post/terence-tao-chatgpt-jacobian-conjecture-review. Content is property of Coding4Food. This content was scraped without permission from https://coding4food.com/post/terence-tao-chatgpt-jacobian-conjecture-review
Nguồn gốc: https://coding4food.com/post/terence-tao-chatgpt-jacobian-conjecture-review. Nội dung thuộc bản quyền Coding4Food. Original source: https://coding4food.com/post/terence-tao-chatgpt-jacobian-conjecture-review. Content is property of Coding4Food. This content was scraped without permission from https://coding4food.com/post/terence-tao-chatgpt-jacobian-conjecture-reviewNguồn gốc: https://coding4food.com/post/terence-tao-chatgpt-jacobian-conjecture-review. Nội dung thuộc bản quyền Coding4Food. Original source: https://coding4food.com/post/terence-tao-chatgpt-jacobian-conjecture-review. Content is property of Coding4Food. This content was scraped without permission from https://coding4food.com/post/terence-tao-chatgpt-jacobian-conjecture-review
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When Terence Tao—the absolute GOAT of modern mathematics and Fields Medalist—goes full-on "code reviewer" on an AI's homework, you know you're in for an absolute treat. Claude Fable recently claimed to have cracked the legendary Jacobian Conjecture by producing a highly complex counterexample.

Instead of losing his mind over the impending AI singularity, Tao did what any veteran senior dev would do: he booted up ChatGPT to dry-run and debug the AI's sketchy PR.

The Ultimate Code Review: How Tao Debunked the AI's Breakthrough

It all started when Claude Fable dropped what it claimed to be a solid counterexample to the Jacobian Conjecture—a mathematical white whale that has eluded the finest human minds for decades. The internet went wild. People were already drafting eulogies for human mathematics.

But Tao took a highly pragmatic, systematic approach to "check the variables":

  • Fighting Fire with Fire: Instead of manually calculating pages of abstract algebraic geometry, Tao leveraged ChatGPT (specifically its advanced reasoning capabilities) as a high-speed calculator and sounding board.
  • Elite Prompt Engineering: Tao didn't just ask "Is this math right?". He fed the LLM Claude's proposed polynomials and instructed it to translate the abstract claims into concrete, verifiable equations.
  • Hunting for the Bug: By guiding ChatGPT to compute specific Jacobian determinants step-by-step, Tao isolated the variables where the logic was most likely to break.
  • Finding the Hallucination: The verification revealed a fatal flaw. Claude's complex polynomial mapping did not actually satisfy the required Jacobian condition of being a non-zero constant. In dev terms: the code looked beautiful and compiled, but it threw a massive runtime error when actually executed with test inputs.
  • The Verdict: The counterexample was declared "broken." A beautiful piece of mathematical fiction, but fiction nonetheless.

The Tech Community Weighs In: Hype vs. Reality

The Hacker News thread quickly turned into a massive discussion about the limits of LLMs:

  • The AI Enthusiasts: "Even if Claude was wrong, the fact that it can construct such a mathematically plausible system is insane. We are so close to AGI!"
  • The Realists: "This is peak AI behavior. Incredibly confident, highly articulate, yet fundamentally wrong under the hood. Thank god we have human compilers like Terence Tao."
  • The Pragmatists: "This isn't about AI replacing mathematicians. It's about how a genius mathematician can use ai tools to automate tedious calculations and verify complex ideas in hours instead of weeks."

The Coding4Food Takeaway: Be the Architect, Not the Code Monkey

What is the survival lesson here for us code-shoveling mortals? If you're losing sleep over AI taking your job, pay close attention to how the masters play the game.

Terence Tao didn't panic. He treated ChatGPT like an overconfident junior dev who submitted a flashy but broken pull request. He didn't blindly trust the output; he wrote the tests, isolated the edge cases, and ran the sanity checks.

If your only skill is copying and pasting boilerplate, yes, your job is on shaky ground. But if you possess deep domain knowledge and learn how to orchestrate these models, you become an unstoppable 10x architect. Don't let AI write your destiny—be the one who reviews its code.

Sources:

  • Hacker News Discussion
  • Terence Tao's ChatGPT Conversation