> Along the way, it wrote 13 million lines of Lean and proved 29,500 intermediate theorems. Pretty insane. I suppose it lends further credence to the idea that anything that can be shown to be correct can be done by a model.
especially compared to existing 129 pages proof by human
Formalizing Fermat's Last Theorem
191–200 of 526 posts
Re: Formalizing Fermat's Last Theorem
#192Earlier quoted context omitted.
Unlikely, api pricing includes a healthy profit margin (as near as we can tell from the outside) which they wouldn’t charge themselves.
> healthy profit margin (as near as we can tell from the outside) Ugh we still don't know if this is true and it's nearly impossible to calculate without a full understanding of the real CAPEX cycle. Stop spreading these rumors until we know for sure.
Re: Formalizing Fermat's Last Theorem
#193Re: Formalizing Fermat's Last Theorem
#194Earlier quoted context omitted.
Regardless the profit margin as a talking point seems to be bad as AI as a tech might never be reversed whether anthropic failed or succeeded. Indeed it's imperative we subsidize AI companies and tech to make them explore more solutions to scientific problems which has a downstream effect on human flourishing.
Or we could invest in a ton of other non AI related research we're underinvesting in.
Re: Formalizing Fermat's Last Theorem
#195My experience is that it takes a lot of human input to make Fable write code nice enough for a formalisation library others can work on. But since this is certainly a lot of prerequisites formalised as well, it would be nice if not all of the effort was wasted on one capstone proof!
Re: Formalizing Fermat's Last Theorem
#196So in the end, it required tooling crafted by humans.
Re: Formalizing Fermat's Last Theorem
#197Earlier quoted context omitted.
It's wild to think that aging is something that needs to be cured, and isn't a part of the natural human experience. I'm so tired of people trying to play the role of God, as well as people that cheer these sorts of things on.
Most people want more life. For most people it's also the most terrifying part of "the natural human experience". If you're happy to die, why be bothered by others' trying to live longer? You won't be around. And assuming people can finance it themselves, is it really a problem for society?
Re: Formalizing Fermat's Last Theorem
#198"The effort succeeded when we switched to using Prove2Me, an open collaborative platform for formalizing mathematics designed by Tianyi Peng and his collaborators at Columbia University." So in the end, it required tooling crafted by humans.
Re: Formalizing Fermat's Last Theorem
#199"The effort succeeded when we switched to using Prove2Me, an open collaborative platform for formalizing mathematics designed by Tianyi Peng and his collaborators at Columbia University." So in the end, it required tooling crafted by humans.
Re: Formalizing Fermat's Last Theorem
#200"The effort succeeded when we switched to using Prove2Me, an open collaborative platform for formalizing mathematics designed by Tianyi Peng and his collaborators at Columbia University." So in the end, it required tooling crafted by humans.
For now. That, too, will change in the future.