AI Proved the Quasi-Riemann Hypothesis. What Happens Now?
Posted by ibobev 2 days ago
Comments
Comment by matt3210 2 days ago
Comment by nomel 2 days ago
I'm not a mathematician, but I've always been able to find understandings from exploring the paths starting from either direction of the conceptual graph that exists between a "problem" and a "solution".
Comment by throwaway81523 1 day ago
There's a joke telling what purportedly happened after the famously abrasive physicist Wolfgang Pauli died and went to heaven. Pauli supposedly got to meet God, and asked God why the fine structure constant had the value 1/137.08 or whatever it is. God said "good question!" and started covering a blackboard with equations. Pauli marveled at the mathematical elegance, said "that's wonderful", etc. until God got to a certain point in the calculation, where Pauli said "that's wrong!!!".
We want explanations, not just answers like 1/137.08.
Comment by benoq 2 days ago
It’s the equivalent of unrolling a loop into a series of individual linear statements. You’ll never derive monadic forms from that. It requires a far greater intelligence to think that up. As nature can’t speak our language, we have to rely on the stupidity of humans instead to help discover its beauty. So we are stuck with mathematicians.
People, mathematicians, of course care about answers. But they deeply care about how those answers were derived and they’ll duel if they find a given thing looks ugly. People have invented entire fields because shit didn’t look right or left gaps in reasoning or understanding. Take quaternions. Take calculus.
AIs aren’t super intelligent and these grifters and charlatans need to be laughed out of the room.
It is unfortunate to see what happened to terry tao but not at all surprising. He endorsed the snake early on thinking the snake was a friend. It was only a question of time before it would turn on him to bite him.
Comment by cman1444 2 days ago
I don't understand why there seems to be a fundamental limitation on that front.
Comment by curt15 2 days ago
Comment by cman1444 2 days ago
Comment by QuesnayJr 1 day ago
Comment by gus_massa 1 day ago
> Mathematicians have been studying the paper intensely in the couple of weeks since its release. Peter Sarnak, a prominent number theorist at Princeton University, has decided to repurpose a course he’s teaching this semester to study it. Radziwiłł says he can now sketch the proof’s arguments in half a page, while more involved write-ups by other mathematicians range from seven to 13 pages. (As of this writing, these have not yet been published, but are circulating privately.)
Comment by T-A 2 days ago
Mathematicians are both frustrated and excited by OpenAI’s work. Sarnak, for his part, said in an email that he won’t be satisfied that it’s “a Theorem” until humans check and understand all the details. But “the general feeling is one of relief,” Radziwiłł said. There are scores of results across not just number theory but also geometry and theoretical computer science that the proofs of quasi-Riemann will, in a swift stroke, establish as mathematical truths.
Comment by mrkn1 2 days ago
Comment by rafaelRiv 2 days ago
Comment by gus_massa 1 day ago
Probably the 7/8 has more tricks and special cases to get the better bound. Also, to make the English version close to the Lean version it probably expands some details. So it's longer.
The idea is to understand the 11/12 version, add a few intermediate steps, and get an intuitive understanding of it. Then in a second step go for the 7/8 paper, hopping it's an extension of the 11/12 paper.
Then try to guess 5/6, perhaps as centaur math...
Comment by v17 3 hours ago