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by haldujai 3 days ago
If you are referring to the Jacobian conjecture Claude only provided a counterexample, not a disproof, neither of which is necessarily a “new brilliant scientific idea”.
2 comments

A counterexample proves that the conjecture is false, not sure what you are talking about. And we can play word games all day about what counts as a "new brilliant scientific idea" but the fact is that no human had been able to solve it.
The whole "AI is a parrot" argument feels like moving the goalposts so quickly, you could actually hear the whooshing sound they make as they move.
No, that’s not my argument. Rather it is that a counterexample to a mathematical proof whether produced by human or AI may be a scientific discovery but it is not inherently new and brilliant by definition.

The case for AI is also weakened when the model is steered by an expert.

So what is your definition of "new and brilliant"?