I knew that you will not understand a single line of his proof, but i will tell you this strange fact: Kurt Godel a well-known logician, mathematician and philosopher starved to death!. In order to understand the last sentence "starved to death" you must read one more line!. Go and look for it...
Nobody can imagine the kind of adrenaline rush this guy had after having gone through 7 years of suffering, never knowing whether he would ever achieve his goal, and then suddenly coming to a solution. It must be an instant high better than any crack pipe.
Yes, so much suffering choosing the lonely way of life, always looking for a higher truth as others are content with deception and lowly thoughts. You want friends who you can talk to and yet no one has the ability to connect with emotionally or intellectually. Everyone hates you because of your gifts, and yet they are unaware of the sacrifices, of the constant battle one has to make internally to combat the demons who constantly tell you to give up and that you are deceived through some idea of grandiosity and under the spell of delusion. It seems we are on a boat and there is a beautiful island in sight, where solitude and eternal nourishment reigns, and yet to arrive on the coast one has to evade serpents and lakes of boiling pitch. Stay strong, brothers, I hope you find your castle and your word is spread through the generations.
At 2:40-58 what a wonderfully moving and humbling moment. It's a privilege to watch a great genius contemplate his own achievement in this profoundly emotional way.
Just a quick note. The problem statement at 0:45 is stated incorrectly. The actual statement is a^N + b^N = c^N does not have any positive integer solutions in (a,b,c) for N>2.
It's still valid. The question is simply asking to find the solution set. And in this case it's empty. Just the same way in some exam questions you might be asked to "find the limit at x" even though the limit does not exist in some cases. That does not invalidate the exam question. All we are required is to state the solution set whether it is infinite, finite or 0.
@@AntoRossi614 Hmm. So, you mean that you read it as a comprehension, like {(a,b,c) | a, b, c > 0 and a^N + b^N = c ^N }, and now express the function f(N) = | {(a,b,c) | a, b, c > 0 and a^N ....} | for N > 2 in a trivially computable way? (Which we know now is f(N) = 0 for all N > 2) Still in that case the question as stated is not complete. Then they should have added: "... is equal to the empty set", because that is what Fermat proposed.
Mighty is the mathematical theorem but mightier is the mind who dedicates itself to formulate and prove these theorems, a huge respect to all mathematicians out there who suffer for improvement of knowledge in mathematics for the sake of humanity.
@@holomurphy22They are motivated to do so, doesn't mean it's always comfortable though, think of an athlete for example, do you really think an athlete really enjoys the pain he suffers in every single workout? Pain is pain, and both pushing through very intense physical efforts, and spending a lot of time thinking and investigating the result of an equation, even without a single bit of hope, are painful. But we still push through because we believe something good is coming out of it, some benefit, some discovery, some satisfactory performance, whatever, maybe the result is in fact pleasure, but the process, majority of the time if excellence or maybe even basic survival if you were born in a bad condition is what you seek, consists of suffering. And that's okay, as long as we have enough willpower to push through and enough reason to do it, that's how a lot of our ancestors survived and thrived, we were meant to care about things we consider meaningful and sacrifice ourselves for it.
@@scienceaffairs2919They do suffer just like artists. They dedicate so much time on their craft while giving up time on people believing well that their product may live on for centuries to come
This video moved me to tears.. as it immediately took me back to the years struggling towards my vision. What a powerful dose of authenticity, for those who can relate.
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@Fernando Cunha Well, I don't think that Fermat's last theorem, or at least the idea, has to be presented _that_ way. Especially as an open-ended question, we do not need to affirm the result. As an unanswered question, it can be presented as: "Does a^n+b^n=c^n have integer solutions for a,b,c for n>2?" Or something to that effect. The main problem with their wording is that the quantifier seems universal. When they say "for any three positive integers a, b, c, prove that a^n + b^n = c^n for n greater than 2", this reads as though whatever a, b, c you pick, a^n + b^n will always equal c^n for any n>2.
I can understand the feeling that after solving those problems which your colleagues can't solve, you feel you are above sky. It gives you that kind of confidence that nothing can give, a pleasure which can't be expressed. Only you-you -you.... you can feel. For Mr. Andrew wiles Sir 👍. I would love to prove Fermat theorem in another way.
@@nikolajkjrkatballe2209 He didn't say that it had to do with the abilities of his colleagues. Ashutosh is saying he can understand the feeling when he solved problems his colleagues couldn't solve.
There is a typo early in the video (about 0:43) that says FLT says that what is true isn't true. "For any three positive integers; a,b,c; a^N+b^N=c^N for N>2, but the "=" should be "≠".
For any Citizens of England, would you agree his determination is a good way of symbolising a characteristic of “Englishness”. Not to say other peoples don’t have determination, but this man’s determination I reckon comes out in a uniquely English way. To a degree an Anglicans feeling of conviction. That’s what I feel when I listen to him, but that might be a very Anglo-australian feeling/thought to feel.
If you want suffering and maths, check out the life of Euler. He had everything. War.Shiprecks. Did much his work while blind. He did so much math that 3 out of the 10 of tthe greatest discoveries come from him, and it will take a team of mathematicians over 200 years to go through it all!
i completely agree. if wiles was fleeing Iraq while the US & UK were bombing the hell out of it I could say Wiles suffered. Wiles' biggest threat was a papercut
I do not know exactly how but this video was great inspiration. And after that i searched for Mr Andrew and found that we share the same birthdays mist be a sign. 🙌🏻
Yup reading mathematics , struggling to absorb the full meaning of the structure of the proof, it feels like banging your head against the wall. So in the struggle, you knock and knock and knock... then sometimes, it happens. you get a revelation from the beyond, or by the philosophers, the revelation is in the form of sudden remembrance. what is unclear is made clear. what is unknown is made known. and the imagination is graced with the form of understanding.
Wiles is beyond a great man for completing the impossible. Also I must now read all Aristotle for the quotation Suffering becomes beautiful when anyone bears great calamities with cheerfulness not through I sensibility but through greatness of the mind. Such a beautiful logical way of conducting life how I feel I live is exactly the same and maybe when it's mocked because of someone else's angry/stress etc etc it's definitely a quotation to make... I think I either want to study math or help humans socially involved either way this video has inspired me.
I don't think there is suffering involved. Blissful work would be closer to the truth perhaps. 7 years of just doing maths among stacks of paper - I understand this may be the epitome of suffering for some people. But for an expert of the field, for a mathematician, this is meaningful work, not suffering. There is a part where he is fighting tears. I wonder if this is misunderstood as a show of self-pity after enduring considerable suffering. It's not that. I think he is fighting tears out of sheer awe of the beauty of what he discovered.
One will never know how it feels to do such a feat, until they actually do it. I remember once at my job on my lunch break I prayed to GOD to show me unique mathematical proofs on the CROSS hidden from the eyes of men. That was 11 years ago, and I learn something new everyday....I have to discover that it is limitless...just like what the symbol represents spiritually is limitless! Read JOHN 1:1-3 KJV. Its ALL right there one the CROSS hidden in plain sight! It takes spiritual perception to "see it".
Oh please. He says he "loved every minute of it". He was presumably paid well for his work. You cannot equate "suffering" in the sense of working for years on a problem, with the suffering of the human race. War, disease and other senseless injustices are nothing like the privileged work that this man did.
What? He was working in secret, Plus, you're comparing oranges to bananas. It's not because these things you wrote are suffering that studying a problem for years and not solving it isn't
Theology is the advanced course of religion. No matter how theological arguments are asserted by their experts, they can't really lead to discursive bold new programs of action for the average religious indivdual. Theology can only serve as a sphere of insights that can inform and console the religous when reflected upon, and influence a society over time. No-Free-Will is the advanced course of the secular. A lack of free will can't really lead to discursive, bold, new programs of action for the secular. Rather, no-free-will can only serve a sphere of insights that can inform and consle the secular when reflected upon, and may influence a society over time.
Yeah my face goes from hey man to Russian beauty flat when under load from general painful things. Then I get intellectual and my face goes to average looking male. Three facial holds in static nervous system, used to like number three but Russian beauty flat is way better with a beanie on. Like this is literally nervous system tension with one stimulus.
I am 15 years of age and currently searching for disciplined corporation partners in which are similar ages. I plan on formulating a multibillion dollar corporation and desire similar minded people with the same ambitions.
I believe there is a play based on wiles' journey on discovering a proof of Fermat last theorem. Personally, I feel that the documentary on BBC is better.
![Beauty Is Suffering [Part 1 - The Mathematician]](/img/logo.svg){kind=logo}
