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Clay Mathematics Institute on the Navier-Stokes Problem

https://www.claymath.org/news/navier-stokes-announcement/
50•rvz•1h ago

Comments

swyx•53m ago
sounds like they are providing notice that the clock has started on affirming the solution, that it IS presumptively solved, but that they are not commenting on the credit dispute nor the fields medalists open letter. seems appropriate.
tristanj•42m ago
Smart move by them for waiting until the drama died down before making a completely neutral statement.

The statement is so sterile they don't even mention who solved it. The word "OpenAI" doesn't appear at all.

minimaxir•29m ago
What makes a man turn neutral? Lust for gold? Power? Or were they just born with a heart full of neutrality?
num42•26m ago
"In recent years there has been an increasing sense of anticipation as breakthroughs in the surrounding field (some recognised by the Clay Research Award) have raised hopes that the Navier-Stokes problem might soon be resolved. The increasing ability of new technologies to accelerate mathematical research has heightened this sense of anticipation."

Keyword: New Technologies

DrBenCarson•31m ago
> Today, CMI shares in the excitement of the global mathematical community as we contemplate the announcement that the Navier-Stokes problem has apparently been settled. We hope to see waves of new human understanding unleashed as the innovations behind this work are analysed and interrogated.

That “apparently” feels load-bearing

Legend2440•21m ago
Their rules PDF says they won't accept any solution until at least two years after publication in a qualifying outlet. This allows time for the mathematical community to review and accept new results.

As the OpenAI proof hasn't been officially published yet, the clock hasn't started ticking.

baby•11m ago
It’s easy to verify the lean statement, you don’t need to read the proof. That is part of the breakthrough
auggierose•11m ago
The Lean proof is published, you can download it. The clock definitely is ticking.

Edit: Oh, didn't see the "qualifying outlet" condition. But Poincare was ever just put on arXiv, so arXiv must count as well.

tristanj•20m ago
It's worth mentioning that OpenAI will not be eligible for the Millennium Prize for quite a while. Per the rules listed https://www.claymath.org/wp-content/uploads/2022/03/millenni... , Clay Mathematics Institute have some requirements to make this process deliberately slow.

1) The solution must be published in a qualifying outlet, i.e. a peer-reviewed math journal. Publishing on your website website (which is what OpenAI did) or posting arXiv does not count.

2) At least two full years must pass after publication in a qualifying journal, before CMI will even consider evaluating it. The intent is to give the maths community time to scrutinize the solution.

Realistically, they'll be eligible for a prize ~2.5 years from now, or around 2029.

ngruhn•6m ago
> or posting arXiv does not count

The Poincaré conjecture guy also broke that rule. They wanted to give him the prize anyway but he refused. OpenAI announced they would also not claim the prize.

Looks like no one wants this prize lol

unknown-unknown•13m ago
In my opinion, I think the Clay Mathematics Institute deserves some criticism for all the drama surrounding these problems. Mathematicians know that you can make problems arbitrarily complex, and declaring problems with large prizes attached to them can lead to a lot of competition and drama. I feel that mathematics should be free from competitions and the pursuit of glory.

However, after reading the open letter signed by 25 Fields Medalists, I became quite concerned. It feels like the mathematical world is changing very rapidly, almost overnight.

I used to think that before AI, you could spend your entire lifetime working on some of the hardest problems in mathematics. If you were an introvert or someone who enjoyed solitude, all you really needed was a pencil, some paper, and an eraser. You could spend years thinking about a problem, and if you were lucky enough to make a breakthrough, it would be your own journey.

Now AI is changing that. I wonder what this means for the kind of mathematics that people have traditionally done.

Mathematics has given us so many stories of lonely geniuses and their passions, people like Andrew Wiles, Grigori Perelman, and Yitang Zhang. Their stories are interesting because they show how deeply personal mathematics can be. They spent years working on problems because they were genuinely interested in them.

I am worried that we might slowly lose some of that side of mathematics as AI becomes more powerful. I do not think change is necessarily bad, but I think it is worth thinking about what mathematics should be in the future and whether it can still remain a deeply personal pursuit of curiosity and understanding.

baby•10m ago
It feels like a nice post. It’s almost like we’re not supposed to celebrate the fact that mathematics is accelerating.

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Clay Mathematics Institute on the Navier-Stokes Problem

https://www.claymath.org/news/navier-stokes-announcement/
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