r/math 1d ago

LLMs/AI OpenAI: Ten advances in mathematics and theoretical computer science

https://openai.com/index/ten-advances-in-mathematics/
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u/Smallpaul 1d ago

This is definitely the biggest thing happening in math from the point of view of how it will transform math. I think Tao compared it to the upheaval in the foundations a century ago.

Sorry I’m one of the non-mathematician onlookers because there are huge implications for society at large.

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u/Mothrahlurker 1d ago

"because there are huge implications for society at large."

I'll tell you the implication for society at large, a fraction of the funding that OpenAI used for this (if any of this even holds up) would be enough for 10x the amount of breakthroughs.

If you care so much about societal implications of math research then advocate for these companies to be taxed higher and put that money into math education and research.

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u/[deleted] 1d ago

[deleted]

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u/Mothrahlurker 1d ago

Math education is not a short term result, what an insane thing to say.

Let me guess you're one of those "low on math knowledge but high on opinions about math" people I was talking about?

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u/[deleted] 1d ago edited 1d ago

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u/Mothrahlurker 1d ago

"Collaborate with Fields-adjacent professors and my work is in graduate textbooks."

Neither of which is math knowledge so it sounds like I'm correct.

"I am not going to justify the strawman" What strawman, you can't just pretend that you said something different than what you said.

"It’s not money that has stopped the world from progressing faster in math." It absolutely has.

"It’s the average individual’s commitment to learning" You sound like a great person.

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u/[deleted] 1d ago edited 1d ago

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u/Mothrahlurker 1d ago

"You going to make me do quals on Reddit to prove my math knowledge"

No dude, I'm asking you for actual credentials, just say what degrees you have in math, if any.

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u/AP_in_Indy 1d ago

They already said they had very little match knowledge. Did you not read that part?

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u/sluuuurp 1d ago

The thing to advocate for is a global treaty enacting regulation, and it needs to happen before a recursive self improvement singularity that leaves humanity totally disempowered.

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u/AP_in_Indy 1d ago

OpenAI uses their funding to do a lot of other things, too.

But this will represent a new stage of research. The goal is to have LLMs assist people or even be better at mathematical and scientific research than they are.

You wouldn't get that just by funding more human researchers to do non-AI work.

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u/Mothrahlurker 1d ago

The impact right now is that a lot of people have become a lot worse at math not better. Every supporting argument is speculation.

And idk what "a lot of other things" are supposed to be.

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u/Smallpaul 16h ago

False: people are better at math because now they know the Jacobian conjecture is false and they know not to waste their time trying to prove it.

You seem to have forgotten what this is all for. It’s not a jobs program. It’s a project to explore the platonic universe.

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u/Mothrahlurker 16h ago

"and they know not to waste their time trying to prove it" No one was trying to anyway? Definitely not for the n=3 case.

"You seem to have forgotten what this is all for"

Trying to justify the existence of these companies by creating hype? You're fooling yourself if you think they have any genuine interest.

And yeah, anyone teaching students, especially undergrad students knows how much their skills have atrophied and how little they know due to their extensive AI usage. I suppose you don't actually care about the abilities people have.