118 karma · joined April 8, 2025
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.
> When evaluating the top 10 percent of high-quality scientific publications, ASPI finds that China surpasses the United States across all 8 critical technology domains. The gap is particularly pronounced in the energy and environment domain, where China accounts for 46 percent of top-tier publications compared to just 10 percent for the United States. Despite U.S. leadership in AI, China produces more top publications, contributing 30 percent versus 18 percent for the United States[0]
Basically, China dominates in batteries, solar, quantum communications, robotics deployment, high-speed rail, nuclear construction, autonomous vehicle deployment, manufacturing process innovation, patent volume in most categories
[0] https://itif.org/publications/2025/09/23/how-china-is-outper...
Families who insist you study 12 hours a day for higher SAT scores are also likely to believe in 'correct' sort of music and enforce it until that's all you like.
Worth noting that at the time of invasion of Iraq they had about 25 million people per gemeni. They now have about 46 mil people per wikipedia. All else equal, we are comparing 25 mil to 93 mil and not half of 93 mil to 93 mil.
1. Ploughed thru every problem in "Schaum's Outline of Programming With C++". It's an old book, but the code in it is not particularly different from modern C++
2. Picked up "C++ Crash Course: A Fast-Paced Introduction" to fill in the gaps, understand what wasnt explained in (1) etc
> Security Guard: Without a doubt. I'm sending a warning to anyone who thinks they can fight the United States. They have no idea what they're capable of. After what I saw, I never want to be on the other side of that again. They're not to be messed with.
Sounds like a strategic bluff.
I feel the same way about NYC and NOLA. Both have world class cuisine and the sheer diversity of NYC food scene can't be found anywhere in the US. And for whatever reason NYC style pizza is not as ubiquitous outside the NYC-NJ area.You can definitely find such pizza in Boston, but it cannot be found in every little corner in LA for example.