Claude AI Verifies Keller Map and Finds Jacobian Conjecture Counterexample
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haha it figured it out.
ok so i think we found a second example now ?? and we're working out the family resemblance. "take the Jacobian of the Jacobian Conjecture" it works
we must simply create a stronger and more powerful Jacobian conjecture. What secrets does this pathological example hold -- are there families that generalize. we could start out by varying the statement of the conjecture slightly across the dimensions of the objects of which it refers. encode the conjecture itself into a polynomial function, as Godel might have done. in other words, take the Jacobian of the Jacobian Conjecture. And then, and perhaps this is key -- take the inverse of the conjecture itself. Don't assume it has a polynomial inverse! or something. 🙃 like a disease from taking theory of computation 101, i am always trying to diagonalize
@DanielleFong latex rendered