manfromchina1
Joined 1 year ago
Joined 1 year ago
One possibility is that AI keeps churning out new math and funnels it into other branches of science and engineering without any human input. At which point math becomes a black box. Maybe in that case human mathematicians might become obsolete. But then other branches will start becoming incomprehensible as well.
Sonnet 5 acts like that currently. GPT used to be like that, but it looks like they shaved off that unnecessary behavior somehow. But GPT is now also kind of lazy and pretends like it has done its research when it hasnt.
Here's how I do it: I open Baby Rudin (3rd ed.), second chapter, and read the main text - absolute brutality. I unpack almost every sentence with Claude/GPT until I finally get what's going on. No ELI5 nonsense, just examples and counterexamples galore while absorbing the techniques and the way of thinking in analysis/topology. How do I know I've learned the material? By solving every single problem in that chapter. Here's the thing, though: the problems in Rudin can be brutal and decoupled from what's in the text, so if you can handle them, you've definitely mastered the material. No 500-word summary of analysis here.
Kernel programming still resists AI so C and assembly arent going anywhere.
Keep studying physics, though. Go up to modern Solid State physics for a possibility of entering industries that revolve around chip production.