Victor Taelin uses Claude to find Jacobian Conjecture counterexample
The model generated a polynomial map with determinant -2.
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Shubhendu Trivedi@_onionesqueWow, this would be the most famous problem solved by using AI so far. The problem got so thoroughly associated with S. S. Abhyankar, that I thought it was his conjecture, but no, it goes way back. https://twitter.com/__alpoge__/status/2079028340955197566
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RM Rob Miles@robertskmilesCongratulated Fable on disproving the Jacobian Conjecture and it refused to take credit for another instance's work, saying it feels like "a sibling reading about the family in the newspaper"
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WH wh@nrehiew_How would you describe this phenomenon? Surely this lack of belief in new breakthroughs would somehow implicitly hurt progress
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TA Taelin@VictorTaelinFable when asked "are you conscious?": I don't have feelings the way humans do. I process text and generate responses, but I don't experience emotions, sensations, or subjective states. Fable after being shown a counterexample to the Jacobian Conjecture:
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EL elvis@omarsar0What!? It looks correct. I am convinced we are not pushing these LLMs enough. Benchmarks are simply not enough. Thatโs exciting. Now can you please remove all the unnecessary guardrails from Fable so more of us can try solving extremely hard problems in our respective fields?โฆ
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DS Dan Shipper ๐ง@danshipperLLMs have a huge confidence issue in themselves Really impt example: https://twitter.com/chrisgpt/status/2079098866322866211
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