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Re:An OpenAI model has disproved a central conjecture in dis... by lajamerr on Wednesday May 20, 2026 @04:48PM (#48213920)
You can tell an agentic system. "Go and find a novel area of math that has unresolved answers and solve it mathematically with verified properties in LEAN. Verify before you start working on a problem that no one has solved this area of math"

That's not creative prompt. That's a driving prompt to get it to start its engine.

You could do that nowadays and while it may spend $1,000 to $100,000 worth of tokens. It will create something humans haven't done before as long as you set it up with all its tool calls/permissions.

Re:An OpenAI model has disproved a central conjecture in dis... by awesome_dude on Wednesday May 20, 2026 @07:10PM (#48215604)
Let me know when the Fields medal arrives in the mail.

It won't because even though it looks clever to you, people who /do/ understand math and LLMs understand that LLMs /are/ regurgitating

Why does your LLM need you to tell it to look in the first place? Why isn't just telling us all the answers to unsolved conjectures known and unknown?

Why isn't the LLM just telling us all the answers to all the problems we are facing?

Why isn't the LLM telling us, step by step with zero error, how to build the machine that can answer the ultimate question?

Re:An OpenAI model has disproved a central conjecture in dis... by astrange on Wednesday May 20, 2026 @07:40PM (#48215887)
Here's a Fields Medalist commenting who doesn't seem to believe that.

https://x.com/wtgowers/status/2057175727271800912

Re:An OpenAI model has disproved a central conjecture in dis... by awesome_dude on Wednesday May 20, 2026 @07:53PM (#48215976)
Um - all I see is

> Timothy Gowers @wtgowers

> @wtgowers

> If you are a mathematician, then you may want to make sure you are sitting down before reading further.

If your refutation requires someone to have an account, login, and read something - it's meaningless

Re:An OpenAI model has disproved a central conjecture in dis... by defrost on Wednesday May 20, 2026 @07:59PM (#48216026)
Try https://xcancel.com/wtgowers/status/2057175727271800912

it's readable to most, it's annoying having to swamp through ex-Twitter .. but there are work around's.

Re:An OpenAI model has disproved a central conjecture in dis... by awesome_dude on Wednesday May 20, 2026 @08:11PM (#48216111)
Thanks - I'll read that and the above linked OpenAI PR

But, I remain sceptical

Re:An OpenAI model has disproved a central conjecture in dis... by defrost on Wednesday May 20, 2026 @08:28PM (#48216226)
The (linked by OpenAI) comment paper by various tangential mathematicians was the most interesting read from my PoV:

https://cdn.openai.com/pdf/74c24085-19b0-4534-9c90-465b8e29a...

it includes the longer remarks by Gowers & others.

Re:An OpenAI model has disproved a central conjecture in dis... by astrange on Wednesday May 20, 2026 @08:08PM (#48216086)