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If you mean an extremely smart AI which can do anything then no. By Far AI can only do things it was trained on. They can't have any "intuition" for anything (related to science and stuff) which is REQUIRED if you want to create "God"

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AI can do things it wasn't trained on and has intuition, given the mathematic proofs frontier models have created.

Claiming that AI can only reproduce a subset of its training data is 2022-level and a tired, outdated claim.

What I meant was it can only work using the data it only has to either combine them to achieve something or use that data in a better way that humans mostly cannot , those mathematical proofs it gave has nothing to do with it , it only proved it using tiny things humans overlooked. It can't create an entire new concept by itself or it has no intuition it only mimics intuition (as far as I can tell) At least not till now. Edit: (I'm only a student I know the line between intuition and proof finding in clever ways is thin, I'm mostly being biased here because it feels absurd to me. On second thought maybe i am wrong.)

Why could it not have intuition?

It's only maths. Maths can't have intuition. Edit: on second thought I think I may be wrong here

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