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Unsolved Problem by Fields Medalist Breached by Two High School Students

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Re: Unsolved Problem by Fields Medalist Breached by Two High School Students

#21

Earlier quoted context omitted.

AI is not going away so people will have to get used to it just like they will have to get used to it in software engineering. The alternative is being less productive than people who are happy to use AI to write software & do mathematical research.

It is still an unknown whether an unqualified increase in productivity in the long-term for software engineering is a given.

Really? OK - then let me stand up and vouch that I am at least 20X more productive with AI.

Re: Unsolved Problem by Fields Medalist Breached by Two High School Students

#22

I sort of wonder if effectively using AI to solve math problems is a skill in its own right, distinct from traditional mathematical skills. I don’t just mean “prompt engineering” either. More so figuring out how to combine agents with other tools and approaches in an effective way.

If it is a skill, it's something that can be learned by both humans and LLMs.

Re: Unsolved Problem by Fields Medalist Breached by Two High School Students

#24
post #15

paper: Title: BOUNDED RATIOS FOR LORENTZIAN POLYNOMIALS https://arxiv.org/pdf/2609.05341

If you replace "pdf" with "abs" the link sends you to the arXiv landing site.

Like so: https://arxiv.org/abs/2609.05341

Re: Unsolved Problem by Fields Medalist Breached by Two High School Students

#25
post #21

Earlier quoted context omitted.

It is still an unknown whether an unqualified increase in productivity in the long-term for software engineering is a given.

Really? OK - then let me stand up and vouch that I am at least 20X more productive with AI.

In the long term.

Re: Unsolved Problem by Fields Medalist Breached by Two High School Students

#26
post #21

Earlier quoted context omitted.

It is still an unknown whether an unqualified increase in productivity in the long-term for software engineering is a given.

Really? OK - then let me stand up and vouch that I am at least 20X more productive with AI.

In the long term, it'll be at least be the year 2030. Let's not get ahead of ourselves.

Re: Unsolved Problem by Fields Medalist Breached by Two High School Students

#27
post #6

Great short term achievement but humanity is better served by these kids doing it without AI. The ideas have to come from the next generation (eg would we be worried if a 5 year old wrote the great American novel with AI or not?)

AI is not going away so people will have to get used to it just like they will have to get used to it in software engineering. The alternative is being less productive than people who are happy to use AI to write software & do mathematical research.

But isn't it a horrible thing that what you just described (being forced by the prisoner's dilemma), is what defines progress these days?

Re: Unsolved Problem by Fields Medalist Breached by Two High School Students

#29

I sort of wonder if effectively using AI to solve math problems is a skill in its own right, distinct from traditional mathematical skills. I don’t just mean “prompt engineering” either. More so figuring out how to combine agents with other tools and approaches in an effective way.

If it is a skill, it's something that can be learned by both humans and LLMs.

I guess the better question is, can this skill be learned without being an extreme expert in mathematics? Can I be a sort of intelligence highschool student (not incredibly exceptional at all) and have the LLM teach me the required math for a specific problem and guide it towards a solution?

I think the answer to this question is becoming, in general, a big yes.

LLMs can arrive at a solution via two paths. The first one is via heavy guidance by an adept expert in the domain. The other path is via brute force... multiple agents (the more the faster it can arrive at a solution). The later path is what enables anybody to do this.

Re: Unsolved Problem by Fields Medalist Breached by Two High School Students

#30
post #6

Great short term achievement but humanity is better served by these kids doing it without AI. The ideas have to come from the next generation (eg would we be worried if a 5 year old wrote the great American novel with AI or not?)

AI is not going away so people will have to get used to it just like they will have to get used to it in software engineering. The alternative is being less productive than people who are happy to use AI to write software & do mathematical research.

A similar line of thought is used to justify corruption:

"Corruption is not going away so people will have to get used to it. The alternative is making less money than people who are happy to take bribes."

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