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WhitneyLandyesterday at 7:43 PM6 repliesview on HN

If all checks out this is a huge milestone. AI has now solved one of the most famous open problems in graph theory, using an off the shelf model, in one hour.

It might be a better mathematician than most humans at this point. Kind of like when chess software started beating everyone except grandmasters.

What’s left? Proposing and building out entirely new theories and frameworks? Then better than any human? Then alien math results we struggle to comprehend?


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YeGoblynQueennetoday at 12:33 PM

>> What’s left?

For example, there's all the problems that the same off-the-shelf model hasn't solved despite OpenAI running it for many hours on them. Don't forget you're only seeing the results of successful runs.

We can estimate that those unsolved problems must number in the dozens, or even hundreds, given the amount of time that passed since the last announcement of a solution to an interesting problem by an OpenAI model: i.e. the unit distance problem which was announced solved in 20 May this year. That's a couple of months, yes? We can be fairly certain that OpenAI have been trying to solve other problems all this time, first because they are hell bent on demonstrating that their models can do maths and second because we just got another result, but it took that long. They were obviously not twiddling their thumbs all this time.

So if OpenAI are running their model on a single proble for eight hours at a time (according to the prompt they released) they could be easily have run a few hundred instances of their model on the same number of open problems 156 times for each instance (53 days since 20 May, with a model running in three eight-hour sessions per 24 hour day). I mean the only restriction is the cost they're willing to pay for the inference.

So yeah, there's a lot left to do still, don't worry.

StefanBatoryyesterday at 8:35 PM

It's hard for me not to think what's the point. I am a very average, even below average person in times of intelligence. What is even my value or reason to be if I know anything I can do, LLMs can do better? What is even my value both on job market and as a human?

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soupspacestoday at 6:51 AM

You don't compete with a chainsaw at cutting trees. You decide what the tree is for. Then sell the rainforest for shareholder value. https://youtu.be/UrgpZ0fUixs

esafakyesterday at 7:50 PM

> What's left?

I think humans will be left to propose new conjectures while machines fill out the proofs. I don't know if there are enough interesting conjectures to go round to build new careers, though.

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grantcastoday at 5:52 PM

[dead]

npinskeryesterday at 7:48 PM

You say those things like they're a short step away, but that might not be how it works out.

For example, AI has made zero progress in the last few years in surpassing professionals at art or writing. Its prompt-following skill is much better, and sure, it can render hands and text now, but its artistic sensibility is completely stagnant.

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