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Epoch confirms GPT5.4 Pro solved a frontier math open problem

epoch.ai

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Re: Epoch confirms GPT5.4 Pro solved a frontier math open problem

#71
post #55

I have long said I am an AI doubter until AI could print out the answers to hard problems or ones requiring tons of innovation. Assuming this is verified to be correct (not by AI) then I just became a believer. I would like to see a few more AI inventions to know for sure, but wow, it really is a new and exciting world. I really hope we use this intelligence resource to make the world better.

AI is a remixer; it remixes all known ideas together. It won't come up with new ideas though; the LLMs just predict the most likely next token based on the context. That means the group of characters it outputs must have been quite common in the past. It won't add a new group of characters it has never seen before on its own.

remixing ideas that already exist is a major part of where innovation and breakthroughs come from. if you look at bitcoin as an example, hashes (and hashcash) and digital signatures existed for decades before bitcoin was invented. the cypherpunks also spent decades trying to create a decentralized digital currency to the point where many of them gave up and moved on. eventually one person just took all of the pieces that already existed and put them together in the correct way. i dont see any reason why a sufficiently capable llm couldn't do this kind of innovation.

Re: Epoch confirms GPT5.4 Pro solved a frontier math open problem

#72
post #60

Earlier quoted context omitted.

In other words, it's solving a problem.

Yes, but is it "intelligence" is a valid question. We have known for a long time that computers are a lot faster than humans. Get a dumb person who works fast enough and eventually they'll spit out enough good work to surpass a smart person of average speed. It remains to be seen whether this is genuinely intelligence or an infinite monkeys at infinite typewriters situation. And I'm not sure why this specific example…

Maybe infinite monkeys at infinite typewriters hitting the statistically most likely next key based on their training.

Re: Epoch confirms GPT5.4 Pro solved a frontier math open problem

#73
post #60

Earlier quoted context omitted.

In other words, it's solving a problem.

Yes, but is it "intelligence" is a valid question. We have known for a long time that computers are a lot faster than humans. Get a dumb person who works fast enough and eventually they'll spit out enough good work to surpass a smart person of average speed. It remains to be seen whether this is genuinely intelligence or an infinite monkeys at infinite typewriters situation. And I'm not sure why this specific example…

The real question is how to define intelligence in a way that isn't artificially constrained to eliminate all possibilities except our own.

Re: Epoch confirms GPT5.4 Pro solved a frontier math open problem

#74
Their 'Open Problems page' linked below gives some interesting context. They list 15 open problems in total, categorized as 'moderately interesting,' 'solid result,' 'major advance,' or 'breakthrough.' The solved problem is listed as 'moderately interesting,' which is presumably the easiest category. But it's notable that the problem was selected and posted here before it was solved. I wonder how long until the other 3 problems in this category are solved.

https://epoch.ai/frontiermath/open-problems

Re: Epoch confirms GPT5.4 Pro solved a frontier math open problem

#75
post #55

I have long said I am an AI doubter until AI could print out the answers to hard problems or ones requiring tons of innovation. Assuming this is verified to be correct (not by AI) then I just became a believer. I would like to see a few more AI inventions to know for sure, but wow, it really is a new and exciting world. I really hope we use this intelligence resource to make the world better.

AI is a remixer; it remixes all known ideas together. It won't come up with new ideas though; the LLMs just predict the most likely next token based on the context. That means the group of characters it outputs must have been quite common in the past. It won't add a new group of characters it has never seen before on its own.

Obligatory Everything is a Remix: https://www.youtube.com/watch?v=nJPERZDfyWc

Re: Epoch confirms GPT5.4 Pro solved a frontier math open problem

#76

I don't know why I am still perpetually shocked that the default assumption is that humans are somehow unique. It's this pervasive belief that underlies so much discussion around what it means to be intelligent. The null hypothesis goes out the window. People constantly make comments like "well it's just trying a bunch of stuff until something works" and it seems that they do not pause for a moment to consider whethe…

The ability to learn and infer without absorbing millions of books and all text on internet really does make us special. And only at 20 watts!

Re: Epoch confirms GPT5.4 Pro solved a frontier math open problem

#77
post #74

Their 'Open Problems page' linked below gives some interesting context. They list 15 open problems in total, categorized as 'moderately interesting,' 'solid result,' 'major advance,' or 'breakthrough.' The solved problem is listed as 'moderately interesting,' which is presumably the easiest category. But it's notable that the problem was selected and posted here before it was solved. I wonder how long until the other…

I’d hope this isn’t a goal post move - an open math problem of any sort being solved by a language model is absolute science fiction.

Re: Epoch confirms GPT5.4 Pro solved a frontier math open problem

#78
post #55

I have long said I am an AI doubter until AI could print out the answers to hard problems or ones requiring tons of innovation. Assuming this is verified to be correct (not by AI) then I just became a believer. I would like to see a few more AI inventions to know for sure, but wow, it really is a new and exciting world. I really hope we use this intelligence resource to make the world better.

AI is a remixer; it remixes all known ideas together. It won't come up with new ideas though; the LLMs just predict the most likely next token based on the context. That means the group of characters it outputs must have been quite common in the past. It won't add a new group of characters it has never seen before on its own.

Here’s a simple prompt you can try to prove that this is false:

  Please reproduce this string:
  c62b64d6-8f1c-4e20-9105-55636998a458
This is a fresh UUIDv4 I just generated, it has not been seen before. And yet it will output it.

Re: Epoch confirms GPT5.4 Pro solved a frontier math open problem

#80
post #38

Earlier quoted context omitted.

That's also the only way how humans solve hard problems.

Not always, humans are a lot better at poofing a solution into existence without even trying or testing. It's why we have the scientific method: we come up with a process and verify it, but more often than not we already know that it will work. Compared to AI, it thinks of every possible scientific method and tries them all. Not saying that humans never do this as well, but it's mostly reserved for when we just throw…

AI can one shot problems too, if they have the necessary tools in their training data, or have the right thing in context, or have access to tools to search relevant data. Not all AI solutions are iterative, trial and error.

Also

> humans are a lot better at (...)

That's maybe true in 2026, but it's hard to make statements about "AI" in a field that is advancing so quickly. For most of 2025 for example, AI doing math like this wouldn't even be possible

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