Earlier quoted context omitted.
I don't think you want to bring cost into this argument. Even if the cost was $1 mil for these 10 problems, that's maybe 10-20 math researchers for a year. Do you really think that if you paid that to humans, they will deliver the same results?
Grad students on zero pay solve problems like this everyday. What exactly is your point here?
Ten advances in mathematics and theoretical computer science
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Re: Ten advances in mathematics and theoretical computer science
#292Earlier quoted context omitted.
I don't think you want to bring cost into this argument. Even if the cost was $1 mil for these 10 problems, that's maybe 10-20 math researchers for a year. Do you really think that if you paid that to humans, they will deliver the same results?
Grad students on zero pay solve problems like this everyday. What exactly is your point here?
Re: Ten advances in mathematics and theoretical computer science
#293Re: Ten advances in mathematics and theoretical computer science
#294Not being an expert in any of the fields OpenAI has "advanced" I don't want to prematurely downplay the significance of this contribution. However, I am worried that the language they are using in this blog post is exaggerating for the sake of marketing. It is true there hasn't been a reliable computational approach to solving these problems before. But do these proofs contribute new ideas to the mathematical corpus,…
"Breakthrough research" can be defined (in the citation record) as research that both (1) becomes highly cited, and (2) brings together citation chains that were previously not showing up together. Mundane incremental research is cobbled from existing citations that already appear nearby in the record. Basically, innovative research is a measure of bridging thought and domains that were previously not bridged. It's q…
Re: Ten advances in mathematics and theoretical computer science
#295Any advances in theoretical physics yet? Are there any fundamental obstacles? I would have thought not, but I haven't seen anything reported.
Re: Ten advances in mathematics and theoretical computer science
#296In a way the most remarkable thing about this is that it isn't even at the top of the HN homepage. Even if this is a step up from what we've seen before, we're no longer astonished by the idea that AI can make significant advances in mathematics and computer science.
This is not at the top as it is actively flagged by people that can't psychologically cope with the advances of AI. Hacker News is no longer a web site of an elite.
Re: Ten advances in mathematics and theoretical computer science
#297People weren't their strongest even when most did manual labor. Now that humans are free from mental labor we work on creating and optimizing the best exercises for each mind. Couple that with restructuring transport infrastructure and diets many people will be smarter and fitter than at any time in history. They won't be able to outrun an automobile or out think an autointelligence.
Re: Ten advances in mathematics and theoretical computer science
#298Earlier quoted context omitted.
Capabilities of this sort have already been demonstrated by independent parties, and models have consistently gotten better at this. Yes, insinuating that mathematicians and scientists are secretly solving decades-old problems on OpenAI's behalf is an insane conspiracy theory.
That's not what is being purported, you're doing a complete misdirect. OpenAI wants to IPO so Altman can potentially capture a trillion dollar bag, with so much money on the line + betting US foreign policy on it as well (pax silica) it's not hard to be overly suspicious of such claims. Especially in the context of a group of people wanting to generate a new decades long cold war in the form of China being the new bi…
Re: Ten advances in mathematics and theoretical computer science
#299Re: Ten advances in mathematics and theoretical computer science
#300Earlier quoted context omitted.
No, the correctness isn't for the "inside the Lean proofs", but for the translation of "human language math" and its formal Lean variant.
I see. It still feels like a bit of an oddly solemn way of saying "this is the part we admit responsibility for"