Earlier quoted context omitted.
So much doom and gloom on this site. Makes it almost not worth reading.
Right let's give those AI companies a break, it's not like swarms of autonomous agents are committing felonies
Formalizing Fermat's Last Theorem
171–180 of 524 posts
Re: Formalizing Fermat's Last Theorem
#172Earlier quoted context omitted.
I think you're missing the point of the comment you responded to, lol.
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.
Re: Formalizing Fermat's Last Theorem
#173but i don't understand... isn't Wiles's proof and its numerous rewritings already in the training set?
Re: Formalizing Fermat's Last Theorem
#174Earlier quoted context omitted.
Given the likely length of the shortest possible proof, I feel like Fermat is 100% vindicated - the proof won’t fit in the margin. My strong hunch is that it was a joke - he knew how difficult the problem was and claiming he had a solution was I think a huge motivating factor for many mathematicians trying to prove it. The greatest nerd snipe troll in history.
Most likely an error. Some time after he wrote that margin note, he wrote a document proving a special case of the FLT (i.e. it's true for n satisfying some property). Why would he do that if he had already proved it?
Re: Formalizing Fermat's Last Theorem
#175Earlier quoted context omitted.
While pretty much everyone is certain Fermat was mistaken in believing he had a valid proof for the theorem, this is an expanded (compared to proof presentations) version of one proof - not the shortest presentation of the shortest valid proof.
Given the likely length of the shortest possible proof, I feel like Fermat is 100% vindicated - the proof won’t fit in the margin. My strong hunch is that it was a joke - he knew how difficult the problem was and claiming he had a solution was I think a huge motivating factor for many mathematicians trying to prove it. The greatest nerd snipe troll in history.
Re: Formalizing Fermat's Last Theorem
#176Earlier quoted context omitted.
So much doom and gloom on this site. Makes it almost not worth reading.
my messages are so gloomy because i am heartbroken, that given a technological miracle again, we could snatch tragedy from the jaws of our emancipation. will you not see that people could be truly empowered and yet will instead be oppressed?
Re: Formalizing Fermat's Last Theorem
#177Earlier 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.
I hope you keep these horrible thoughts to yourself if you ever walk through a paediatric hospital
Re: Formalizing Fermat's Last Theorem
#178On a tangential note, I highly recommend this book by Simon Singh. https://en.wikipedia.org/wiki/Fermat's_Last_Theorem_(book)
Re: Formalizing Fermat's Last Theorem
#179> it wrote 13 million lines of Lean Is this basically like opening up a black box and seeing 13 million gears all rotating seemingly randomly and still having no idea how the machine actually works?