The End of Mathematics(daniellitt.com) |
The End of Mathematics(daniellitt.com) |
If you have a system that gives you arbitrary on-demand math results, dedicating any resources, be they human labor or compute, to producing them for their own sake just seems like a waste. Why catalog the Library of Babel?
Edit: Perhaps I could have been terser here. Really the idea is that small jumps are easier to make than big jumps. Continually developing pure mathematics is a way to make small jumps in logic and intuition add up to big jumps in applications.
I still don't see a role for humans in this process. They might direct the practical/physical aspect(if AI turns out to be less superhuman there) but they'd likely turn the hard conceptual problems over to the machine and never look inside the box - no human alive could understand even the smallest part of what's going on in there in less than a thousand lifetimes anyway.
Assuming the ratio of answers per question remains the same (or drops because the answer quality raises) this is the sort of thing I would suspect.
It wouldn't even be theoretically surprising if the number of Qs & As on MathOverflow trend down purely because all the easy questions get answered. Wouldn't necessarily expect that, but because we can't really anticipate whether questions should trend up/down/sideways I don't think analysing MathOverflow is really all that interesting. Like the writer observes, kids these days are probably all over on Discord.