Fermat's Last Theorem
Fermat's Last Theorem refers to the conjecture made by 17th century lawyer and amateur mathematician Pierre de Fermat. The conjecture states that no solution exists to the problem a^n + b^n = c^n, for any integer n > 2 and any positive integers a, b, and c. Put differently, a^n +b^n =/= c^n for every (infinite) combination of positive integers a, b, c, and n > 2. For more on this, just check out Wikipedia: http://en.wikipedia.org/wiki/Fermat's_Last_Theorem
Supposedly, Fermat proved it back in 1637, but refused to share his proof with the world and left it as a riddle for others to solve. For over 3 centuries, this problem baffled mathematicians, until eventually it was solved. This 45 minute documentary documents how this problem was solved by mathematician Andrew Wiles (don't worry, it's not a technical/complicated documentary):
Part 1 of 5:
Part 2 of 5: http://www.youtube.com/watch?v=WiiLirXXlgQ&feature=related
Part 3 of 5:
Part 4 of 5: http://www.youtube.com/watch?v=DZjJpBYenZ8&feature=related
Part 5 of 5:
You might ask why I'm sharing this on WSO and what (if anything) it has to do with finance? Honestly, I'm sharing it with you guys for several reasons, such as that it's simply interesting, gives us a glimpse into human creativity, and allows us the opportunity to watch someone performing in their element, simultaneously reaching greatness and self-actualization. More importantly though, I want you guys to consider a couple lessons from this documentary that are relevant to us all:
- First, greatness and passion are not independent. There's been a lot of talk in a recent thread about why you guys are pursuing and working in finance. Many of you claim that you're doing it mainly for the money. But, in order to excel and make big money, I think you need to have a lot of passion there in the first place (or, at least, acquire that passion along the way). Sure, pretty much anyone on here can probably bust their ass and pull in a few hundred grand a year based on sheer drive and an unrelenting work ethic. But if you want to make big money in finance, you have to be great in one of the most competitive labor markets there is. For that, you're going to need passion, unless you're satisfied with being relatively mediocre. Greatness takes years upon years of honing your skills, which doesn't happen on accident. You need passion to help you get through those years upon years of dedication. If you constantly feel like you're sacrificing yourself by busting your ass, then you'll probably have a hard time sticking with it. Andrew Wiles devoted 7 years of his life to solving this one problem. But, to him, it wasn't a sacrifice, as he loved working on it. In fact, to even call it work is a little misleading. Solving this problem became his goal at 10 years old and from that day on it was a life-long passion.
- Second, life is too short to spend it doing something you're not passionate about. Sure, Andrew Wiles might be an extremely timid, ultra-awkward, uber-nerd. But, despite all of that, he has huge balls! In fact, I'm going to claim that he has a bigger sack than most (all?) of us on WSO because he followed his goals, hopes, and dreams. He knew what he wanted to accomplish, so he took life by the horns and made it happen for himself. Even if he died without solving the problem, I would say his balls are equally as large, since at least he chased his dreams and tried to make them a reality. In some ways, it's inconsequential that he proved the theorem because, at the end of the day, he's his own man and did what he truly wanted with his life. That, in my humble opinion, is something we should all aspire to do!
Cool beans. Watched this before, I find it comforting that other people still pursue knowledge - for the sake of knowledge.
heard wiles talk at my school once; part of it is due to the man being brilliant and persistent, but the other part is due to the fact that mathematics have advanced far enough since fermat that he was able to prove fermat's conjecture; any mathematician before him would have had a hell of a time inventing like 4 different fields of math.
monumental achievement though, and most people on this board would be lucky to do something 2% as baller
Agreed. In fact, even aside from knowledge, I respect a lot of situations in which somebody pursues something mainly for it's own sake.
But, supposedly Fermat proved it without all those centuries of advancement. So, maybe there's a simpler way...
simpler and probably wrong at this point is the general consensus
Who knew it would take the cutting edge advances in algebraic geometry to solve such a simple sounding problem.
In before "but he doesnt get laid dude".
Very nice post.
Reminds me of Perelman and his refusal of the Field Metal. Just pursuing his interest for its own sake, not for recognition or any monetary gain.
Looks, like an interesting concept, posting so I don't lose track of the links.
"There is no proof, Septimus. The thing that is perfectly obvious is that the note in the margin was a joke to make you all mad."-Arcadia, Tom Stoppard.
In the documentary, they make it sound as if Fermat had done this time and time again - stating a theorem that he had supposedly proven, without actually divulging the secret. And, if I understand correctly, time and time again, someone eventually figured out a proof showing that Fermat was correct, so maybe he wasn't making it up and maybe they weren't just conjectures.
Is there an application to this or is this like solving a sudoku puzzle (i.e. a complete waste of human capacity)?
Was anyone else surprised the dude had a wife?
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