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A misalignment of AI in mathematics

mathandai.org

551–560 of 642 posts

Re: A misalignment of AI in mathematics

#551

Earlier quoted context omitted.

Not if it's lean-verified.

Didn't some of the recent proofs exploited a couple of blind spots of lean, and they were invalidated? Edit: Yup. A bug report to Lean was disguised as a "Collatz" proof in a humorous way. Links below. - https://x.com/gro_tsen/status/2082483878480977959 - https://infosec.exchange/@0xabad1dea/117002106099986943

I don't know ... do you have a reference?

Re: A misalignment of AI in mathematics

#552

At some point we will lose track of all the ai discoveries that are worth remembering. Academia with the publication system had a way of retrieving old discoveries and build upon them. If my LLM session found something groundbreaking in between the billion tokens it produced, how would you ever know?

I think this is why Terence Tao created https://palomar-registry.org (I have no affiliation with them besides also having sent in a result there)

Re: A misalignment of AI in mathematics

#553
Another bunch of nerds who now have their panties in a bunch because AI threatens their fragile egos and core identity and who they are..

I’m being somewhat harsh here but come on - human endeavors are messy and it’s surprising how much our egos are getting bruised here over seeing the value of these tools

Dont get me wrong Also, there’s no AI Utopia coming this is it guys, were stuck with oligarch Tech Bro funded AI and big funded Govt AI so forget any egalitarian motives- we have to fight for our rights from other humans as always as well but AI as a technology in itself being able to truly solve unsolved intellectual problems is still a boon for society - who cares who gets credit?

Re: A misalignment of AI in mathematics

#554
post #541

Earlier quoted context omitted.

> It's a bit like a tree falling in a forest. If an LLM proves a theorem but no one understands it, did it make a sound? But in future most proofs will be for consumption by other AI models in the pursuit of yet other proofs. It's kind of surprising so many mathematicians act surprised by this given this was clearly where automated proof assistants would lead. I guess they assumed they'd always be the ones guiding th…

> But in future most proofs will be for consumption by other AI models in the pursuit of yet other proofs. What is the purpose of that? Its like art being produced for AI to consume. What is gained from that?

I mean, was the point of math ever just because some humans enjoyed doing it? Even though a lot of it is theoretical, there's been all sorts of useful things that have come out of it as well due to an improved understanding of the universe through new ways of thinking about it. If it got to the point where no human could understand it and there were no ways to actually use it, I don't think anyone would bother having their computers doing it at all.

Re: A misalignment of AI in mathematics

#555
this sort of reminds me a little of the reaction to Elon/SpaceX in its early days .. when Neil Armstrong and other apollo astronauts went before congress and voiced their concerns about relying on commercial companies for human spaceflight and the dangers etc .. also not trying to sound cynical but hasnt LLM made math more accessable to ppl ..

Re: A misalignment of AI in mathematics

#556
post #427

I understand this stance and where they are coming from, but I can't help but think this sounds very analogous to engineers' arguments against AI-assisted and vibe-coding, especially with regard to cognitive debt. Yet the software industry is plowing ahead, reportedly pushing mountains of unreviewed code to Prod, and the world hasn't ended. Of course, nobody's really comfortable with it, so this is also a forcing fun…

> Yet the software industry is plowing ahead, reportedly pushing mountains of unreviewed code to Prod, and the world hasn't ended.

Yes, this has gone so well

Re: A misalignment of AI in mathematics

#557

Earlier quoted context omitted.

Not if it's lean-verified.

Didn't some of the recent proofs exploited a couple of blind spots of lean, and they were invalidated? Edit: Yup. A bug report to Lean was disguised as a "Collatz" proof in a humorous way. Links below. - https://x.com/gro_tsen/status/2082483878480977959 - https://infosec.exchange/@0xabad1dea/117002106099986943

There was a hash collision bug in the main Lean kernel that was patched, but AFAIK nothing relied on it. You'd have to know what you were doing to accidentally get there...

Re: A misalignment of AI in mathematics

#558

Earlier quoted context omitted.

Didn't some of the recent proofs exploited a couple of blind spots of lean, and they were invalidated? Edit: Yup. A bug report to Lean was disguised as a "Collatz" proof in a humorous way. Links below. - https://x.com/gro_tsen/status/2082483878480977959 - https://infosec.exchange/@0xabad1dea/117002106099986943

I don't know ... do you have a reference?

Yup, found it:

https://news.ycombinator.com/item?id=49101465

Re: A misalignment of AI in mathematics

#560
post #243

This sounds a lot to me like people in the 90's complaining that computers were destroying chess. Thirty years later, chess is more popular than it ever was, and chess players are better than they ever have been. I wouldn't be surprised if there are now more chess books now than there ever have been. Furthermore, it turns out that a lot of chess books written before computers were just wrong about a lot of things. It…

Well, chess is a sport where humans are supposed to compete. But math, programming, science are mostly not, and AI might affect economy, careers, etc.

I guess part of the problem is that being against being against anything for economic interests doesn't really rally anyone to your cause; everyone has to make a living doing something productive for society, and professions have come and gone all the time due to technological advances. In fact, when one thinks about it, the people that are losing their professions now were major contributors to others losing their form of income. Often people talk about how they can use technological/programming/IT skills to make some secretary or administrative assistant's job obsolete. So most people just don't feel a lot of sympathy when people complain that AI are going to take those people's jobs.
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