alt Hacker NewsThere are three big things in this announcement it seems.
> In addition to resolving the Navier–Stokes Millennium Prize problem , this model has now resolved more than 100 long-standing open problems across most areas of mathematics.
Rumor was they were sitting on the solution to the Hodge conjecture. I wonder if thats one of these.
> The group will advise on the review and communication of emerging results.
With hundreds of results, and the seeming exponential vertical from earlier in summer (10 major results from Astra, now hundreds...) I do wonder how exactly such a group decides to disseminate results. If it will instantly bottleneck. I mean I checked their site and it seems to be a google form asking for opinions.
> Importantly, the group will not be responsible for advising us on how to pace our internal progress on mathematics.
Spicy. I think the super intelligence benchmark for me is P vs NP. That one I know is proper hard and feel it in my bones.
In related notes I watched a panel of mathematicians discuss AI recently on YouTubes. Specifically the hlf26 one. [0]. I also watched Terrence Taos recent one on SAIR [1]. In addition to a few others like Tom Rocks and Martin Hairer [2]. Whats abundantly clear is that no one has any answers to what this means for the future of mathematics. They all waffle about what anyone is going to be doing in a few years.
[0] https://youtu.be/H7_d_sgui6o
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It's funny coz this was what humans were supposed to be doing in techno-utopia, while AI does all the boring stuff. I don't think many predicted art and theoretical math would be first to fall to the machines.
The next few years are gonna be very rough for the human exceptionalism crowd.
> Rumor was they were sitting on the solution to the Hodge conjecture
I think someone at OpenAI (Brockman?) claimed they had "made substantial progress on it", but there is a mathematician on Twitter offering a $25,000 bet, with no takers, that they have not solved it, and that the "substantial progress" they have probably made would still leave them a lot further from a solution than they imagine.
I also see someone else on Twitter claiming to have used AI to understand what the Hodge conjecture is. :)
I really wish OpenAI would fire their PR department (incl. mathematicians), and concentrate on trying to build AGI, or RSI, or generate tons of money, or whatever they are trying to do.
Edit: Apparently not Brockman - some unknown leaker saying there was progress or an expected result soon