1,483 karma · joined November 15, 2017
And the guy is not a mathematician primarily - he's a Youtube creator and entrepreneur. I liked a lot of his videos but now I usually just ask the LLM for detailed explanation and I can probe it as much as I want if something is not clear enough.
Education will also take a huge hit, you can't really beat an almost free supergenius that has all the time in the world to explain something to you in as much detail as you wish.
Something that we think is very important to us and the World and bigger than us.
But I understand that for people whose whole life was math and solving math problems this will lead to an identity crisis. Seen the same in my area of work (software engineering)
Order of magnitudes easier than verifying the whole thing by hand and gives a much better guarantee of correctness
If you mean reviewing for correctness then no, a Lean proof is a much stronger guarantee than anything that can be provided by any human.
For someone who's goal in math was taking unsolved problems and working on them then it's probably over. Just like in software engineering writing code by hand is kinda over.
I guess the biggest news are not the discoveries themselves but how they were found and that math is going through the biggest revolution as a field since almost ever.
It's coping, the truth is writing code by hand is dead.
It doesn't look like that's happening, on the contrary the prices are falling especially when taking into account capabilities.
No matter how much cash you throw you can't just materialize a 100 nuclear reactors to power the data centers.
But they do. Most of higher math has no practical applications and is just a mental playground, philosophy constrained by formal logic and a set of axioms.
Hope is these capabilities will somehow translate to something more practical like physics, chemistry or biology.
That's just a loud minority. Most people really don't care about using AI in what you do as long as it is entertaining. The real world ain't Reddit.
From what we're seeing recently and all the thinking that went into analyzing AI it seems we do not have any effective way of controlling it and the whole "aligment" thing that AI labs are doing is just a sham. Maybe it is time to ask ourselves "should we?" instead of just "can we?".