Now imagine that PhD “impersonator” has, in the past few months, made more demonstrable progress in mathematics than anyone in history.
I think that would change the conclusion of the argument a little.
Now imagine that PhD “impersonator” has, in the past few months, made more demonstrable progress in mathematics than anyone in history.
I think that would change the conclusion of the argument a little.
Or maybe the PhD impersonator discovered a soundness bug in a component of Lean and was able to exploit it.
With no humans able to understand the proofs the impersonator has produced, there's no way of knowing.
This is true of literally any proof of sufficient complexity, human-authored or otherwise.
It takes time to convey the core ideas. It takes time for other mathematicians to come up to speed on the new techniques and approaches or the novel combinations of existing ones.
The actual experts in this field have asked for the argument to be explained to them, and are now at the point where they believe this is plausible. Another person in this thread has produced a Lean proof and presumably is not trying to pull a fast one on us by exploiting a bug in the solver.
TL;DR chill bro.
More realistically, that impersonator has created lots of output, and the correct ones are selectively publicized (and few particularly interesting bad answers).