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Solving 20 Erdős Problems with 20 Codex Accounts Running in Parallel

starfleetmath.com

81–90 of 119 posts

Re: Solving 20 Erdős Problems with 20 Codex Accounts Running in Parallel

#81
post #8

Isn't this sucking the fun out of math? It's not like we're going to get any tangible benefit out of them, so why not let mathematicians keep their jobs?

That’s the problem, the coupling of work with the right to survive

You went deep ... and I for one appreciate it.

Re: Solving 20 Erdős Problems with 20 Codex Accounts Running in Parallel

#82
post #80
post #34

Earlier quoted context omitted.

I think they meant they just ran a different context per invocation, not that they hosted the model themselves.

Why in the world is the OP's answer dead? Sometimes I really don't understand HN.

It's automatic, I vouched for it but it didn't budge.

Re: Solving 20 Erdős Problems with 20 Codex Accounts Running in Parallel

#83
post #52

Earlier quoted context omitted.

No, the people growing their food built modern civilization. (Or millions of disconnected stakeholders with different incentives collectively built modern civilization, but who wants to put that on a bumper sticker)

No people procreating built civilization.

I thought it was Sid Meier.

Re: Solving 20 Erdős Problems with 20 Codex Accounts Running in Parallel

#84
post #16

Earlier quoted context omitted.

What is their pay going to be justified by once computers start conjecturing and proving theorems on their own?

Attending department faculty meetings

We have found the true use case for AI.

Re: Solving 20 Erdős Problems with 20 Codex Accounts Running in Parallel

#86
post #85

Some of the claimed proofs (#129, #130) seem to have been removed at the Erdős Problems site. Were they defective?

tbf I am not able to understand the erdos problem website, as to why it still shows problems as open even if they've (as claimed) claimed to be solved

Re: Solving 20 Erdős Problems with 20 Codex Accounts Running in Parallel

#87
post #85

Some of the claimed proofs (#129, #130) seem to have been removed at the Erdős Problems site. Were they defective?

tbf I am not able to understand the erdos problem website, as to why it still shows problems as open even if they've (as claimed) claimed to be solved

There are also problems which list submitted proofs. The status of the problem does not officially change until the proofs have been accepted. For these two problems, the submitted proofs disappeared without the status of the problems changing.

Re: Solving 20 Erdős Problems with 20 Codex Accounts Running in Parallel

#88
post #4

Very interesting, on many levels: first, the raw additional compute / search harness is worth reading about; huge numbers of Lean 4 theorems, thousands of vCPUs available for spreading out search, embedding databases of proofs, all very interesting. Second, the proofs -- I understand the Lean 4 proofs to be refereed by Fable, and generated by Chat 5.6 Sol. Unlike the leaked proof of the Cycle Double Cover Conjecture…

This is great feedback (thank you for taking the time), & you especially bring up a fair point on the writeups needing to be more human readable. I'll work on that

Keep it up! This is amazing work.

Re: Solving 20 Erdős Problems with 20 Codex Accounts Running in Parallel

#89
post #85

Some of the claimed proofs (#129, #130) seem to have been removed at the Erdős Problems site. Were they defective?

Thank you for bringing this up pfdietz. No, not defective. The Lean proofs behind both are machine-checked and unchanged. I withdrew them over framing, not correctness.

1) For #129 a couple people pointed out that the report was very confusing. And I agree. So I'm currently attempting to improve it.

2) For #130, a person pointed it out as being a partial solution. This seems correct, so I'm currently working on making it fully end to end.

These are put out as "proposed solutions" for the mathematics community to scrutinize, and the scrutiny worked exactly like it should. Happy to take any feedback and make them better.

Re: Solving 20 Erdős Problems with 20 Codex Accounts Running in Parallel

#90
post #85

Some of the claimed proofs (#129, #130) seem to have been removed at the Erdős Problems site. Were they defective?

Thank you for bringing this up pfdietz. No, not defective. The Lean proofs behind both are machine-checked and unchanged. I withdrew them over framing, not correctness. 1) For #129 a couple people pointed out that the report was very confusing. And I agree. So I'm currently attempting to improve it. 2) For #130, a person pointed it out as being a partial solution. This seems correct, so I'm currently working on makin…

Thanks for the clarification.
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