[Levitz]

Being able to extrapolate with newly found data.

You can get a LLM to simulate it "discovering" the pythagorean theorem, but can it actually, with the knowledge that was available at the time, discover the pythagorean theorem by itself?

Any parent will tell you, it's easy to simulate discovery and reasoning, it's a trick played for kids all the time. The actual, real stuff, that's way harder.