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There is money in this, so of course the closed models are far ahead. The open models will likely catch up a bit at some point, just as Stockfish caught up to AlphaZero. That being…

There is no evidence that I can find for the claim "a bug in the Lean kernel was discovered last week by way of an LLM tricking itself and its handler into believing it had found a…

If accomplishments can't be distinguished between talented people and untalented people with compute, is there really a point in trying? I suppose one can hope that talented people…

Presumably it's a rounding error compared to their full output, and they're making sure they have enough compute set aside for research by limiting public models. The more datacent…

"I made this proof myself, but the designer is someone else" is an extremely unconvincing claim to ownership.

If there was any real money in it Stockfish would not be the best chess engine.

That's clearly just for the tokens, this doesn't really answer OP's question.

Given that OpenAI pays their employees with stock surely a breathtaking number, but not a very meaningful number now that the infrastructure is in place and the models are trained.…

A fundamental difference being that no one was actually paid to find good moves in chess and go like they are to solve math problems and write code. You're comparing the digital ca…

It's a very important clarification if it took $2000/problem on 20 problem attempts or on 1,000 problem attempts for each successful one. That may be the deciding factor on whether…

Not much point to pure math being kept secret, in all honesty. There isn't really industrial value, its only purpose (to them) is showing off their model's capabilities. More reali…

That seems to have been more of a sensationalized joke. Even your link has a disclaimer in it now. Read this chat from the researcher who did this: https://leanprover.zulipchat.com…

> Also, have there been examples of researchers not affiliated with OpenAI (or another LLM creator), who have done something similar? A couple small ones that I've seen (example he…

This isn't really a productive way to think about these things, IMO. It's quite possible it would take hundreds of years for any specific group of PhDs to solve them. Or one indivi…

Every time someone makes a comparison to chess I die inside. Chess is a spectator sport primarily funded by a few eccentric billionaires. Players artificially constrain themselves …

I'm not an expert at it myself, but my understanding is there are numerous ways to "cheat" in a Lean proof (via `sorry` and similar). They're taking responsibility for fully verify…

Perhaps not, but I interpreted it as an intended counterexample to the GP's claim > You'd have a hard time convincing most American families to purchase anything with a >$1000 pric…

Is it really wrong to blame this one on philosophy? The source of the disagreement was inherently philosophical, lead by a philosopher, backed up by other mainstream philosophers, …

I have personally never met someone with a personal robotic lawnmower, and I suspect that if you have you live in a bubble that is severely biasing your view of the average America…

It was indeed sexism, but it was not sexism from the math department, who very much wanted to hire her. In fact, the Chair of Mathematics David Hilbert (of Hilbert space fame) pers…

A very interesting story that's worth reading up on. "Natural philosophers" of the day refused to accept the idea of a particle too small to directly observe on purely philosophica…

The author recently published a retranslation of the Odyssey, that has rocketed to the top of best seller lists thanks to the movie. I'm sure her bank account provides her plenty o…

Writing a screenplay adaptation of a poem and writing a translation in contemporary language are entirely different endeavors.

I would guess almost none, less than single digit percent. Only a small fraction of undergraduate math majors who happen to be interested in algebraic geometry would be able to und…

1) How do you know this structure is the correct one a priori 2) You are starting at 10^500 possibilities. "Much" smaller is not enough, the order of magnitude of the order of magn…