Mathlib is Lean library that has formalized a lot of humanity's math concepts and proofs. Grant speculated about a really interesting possibility: You could just have different AIs fork MathLib and build their own parallel math civilization. Lean guarantees that whatever new conjectures they come up with would be logically valid. Whether they'd be interesting is another matter. But as AIs develop better and better taste, why wouldn't they be? "That's a very unique thing that math has that nothing else has, where you could press go and just pour compute at it, look away for ten years, and then come back and say, 'What do you have? There's going to be something." I love this as a metaphor for what's going to happen to our civilization overall. For millennia, humanity has built this corpus of knowledge that is now being distilled into these models. At some point, the models will just extend that arbitrarily.
