As a professional mathematician it seems that AI is already at the point where, when well guided, it both does better research and writes better exposition than run if the mill mathematicians.
replyWell guided is a qualifier that matters.
In my opinion, doing good mathematics is very different from writing good exposition.
replyI have observed that models are not able to effectively come down to a human level. They are mediocre at approximating what a first-time reader would want to know. If you will forgive the anthropomorphization, they are not very empathetic. In this book for example, the author pauses the flow of thought with countless little anecdotes, anticipating where the reader might have a question or want to know more.
Of course, a well-guided AI is capable of anything a human is capable of. But is that not tautological?
Sure, but you can build an agentic system which verifies outputs and fact corrects, with probably better accuracy than a human would.
replyAs well, if people were a bit less anti-AI then maybe we can get disclaimers that things are written by AI that don't immediately torpedo any value the writing has.