alt Hacker NewsI was pretty depressed when I read about what happened with Navier Stokes this morning. The Clay Math prizes were a significant motivation through my math career, and I know a lot of computer scientists and physicists that feel similarly. I didn't think I was gonna resolve P vs NP or the BSD conjecture, but I did really research that felt like I was working towards something incredible. What is the younger generation left with? Hey kids betcha can't resolve the Collatz conjecture, our superintelligence can't either! Still pretty depressed about it, to be honest. Intellectualism is dead. We can return to happy agrarianism, I guess. At least the AI doesn't wanna eat my snap peas.
I don’t think this will happen, but it’s possible for humans to adjust our philosophy of mathematical work so that we deprioritize “egotistical” (this is a bad word for what I’m going for, but I mean the desire and economic necessity to associate novel work to your name) discovery and prioritize learning; I’ve never really learned something well without lots of personal insights along the way.
If this is not possible it does make me question whether mathematics ever had any value except for economic or industrial reasons. I do believe it does however, so it must be possible.