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@davidaIano

25 күн бұрын

may I request a video on the life and contributions of Edward Witten

@dragoda

25 күн бұрын

Too much repr3sentation of suicide in your video. Stick to math. You made me sad. Re do the video without suicide mentions.

@hansombrother1

25 күн бұрын

Hello, I studied math in college and I appreciate your explanation. I was very aware of this problem, but I am very amazed how the gentlemen solved the problem very recently. This was very historic. However I was expecting a bit more from your video. Could you please provide a few values for X,Y, Z, & N? Certainly when we consider a2 + b2 = c2 there are many values we can assign to a, b, & c , for example 3,4,5. What are some possible values for X,Y,Z, and N?

@CheckmateSurvivor

25 күн бұрын

Please prove that we don't live on a spinning ball.

@timothymcglynn1935

21 күн бұрын

Hi

Imagine being a suicidal Industrialist but being motivated to live by a maths problem.

@quakerninja

22 күн бұрын

I am also suicidal but motivated by cheesecakes I don't think dead people can eat cake, so I guess I'm stuck here.

@plasmaastronaut

22 күн бұрын

why doesn't incelTV / Rehab Room mention maths as a escape from inceldom?

@DiegoTorres-kv7js

22 күн бұрын

@@plasmaastronaut because you can be the greatest mathematician in the world, but still not get pussy.

@thefart

22 күн бұрын

@@plasmaastronaut you would still be an incel after math. Maybe not suicidal

@ButchNews

22 күн бұрын

I'M ABOUT TO BE 80. ALL DAY PAIN IS NORMAL. I SAW A GRAFFITI WHICH SAID "ALWAYS HAVE SOMETHING TO LOOK FORWARD TO". I THOUGHT I DIDN'T EXCEPT I LOOKED FORWARD TO BEING DEAD AND LEAVING THE IDIOT HUMANS BEHIND ME FOREVER WOULD BE GOOD. BUT... TRYING TO SOLVE BASIC UNIVERSE PROBLEMS KEEPS ME GOING. LIKE ANYONE CARES.

The amount of knowledge you need to even understand the proof is insane

@drgetwrekt869

23 күн бұрын

indeed. thats also why the disconnect between average person and actual science is larger today than it was in the past. paradoxically.

@RobertoCarlos-tn1iq

22 күн бұрын

yup. around the year einstein got his phd, you were expected to be competent in ALL of physics or ALL of mathematics. now, no chance.

@television9233

20 күн бұрын

True, you would need a complete PhD's level of knowledge just to begin reading books/papers that would shed light on what the actual proof is.

@calicoesblue4703

19 күн бұрын

💯💯💯😎

@mikemondano3624

19 күн бұрын

@@television9233 A PhD would hardly cut it. Someone with a PhD in a different branch would be as perplexed as a non-mathematician. The subject is vast and a PhD implies focused interest, not broad knowledge.

I don't think Andrew's proof would fit in the margin.

@johnbauman4005

25 күн бұрын

Since the techniques employed by Wiles had not yet been discovered it makes one wonder what Fermat's approach might have been, and if perhaps it may have errors he did not initially detect. Or maybe he was just messing with us.

@MichaelPiz

25 күн бұрын

@@johnbauman4005 I think the latter. I bet he was a real prankster.

@robertunderwood1011

25 күн бұрын

@@MichaelPiz I think he was sincere, but mistaken and whatever proof he might’ve had would’ve been found to have errors had published it

@michaelblankenau6598

25 күн бұрын

I think the challenge should be to now find a proof that actually would fit in the margin .

@ernestsmith3581

25 күн бұрын

​@@johnbauman4005Fermat's proof would certainly have been geometric in the Ancient Greek tradition, but extended with his unique primordial form of calculus (Method of Infinite Descent). Perhaps he only proved to cubic (as Euler) or perhaps really did have it worked out in his head. The world will never know, but we have many wonderful new branches of mathematics (such as Fractional Dimensions) which emerged because of Fermat's highlighting of the problem.

I've watched that original documentary and its amazing how emotional Andrew gets. You can see the passion for the problem in how he barely is able to get out the words "Nothing I ever do again will...." as he almost bursts into tears. I would say 99% of people would just say "umm..its just a math problem!". To him though, this represented the culmination of an entire lifetime of dedication that has finally been realized. A quote given by Simon Singh from what Piet Hein said: "Problems worthy of attack prove their worth by fighting back". That is this entire journey in a nutshell.

@shibhanlalpandita6975

22 күн бұрын

Did he disprove the alleged theorem?

@kwith

22 күн бұрын

@shibhanlalpandita6975 no he solved it and proved the theorem correct

@ajzma

22 күн бұрын

Reminds me of another great quote: "you bite the fry, the fry bites back, my man"

@PracticalAI_

21 күн бұрын

I think we are part of that 1%

@nomennescio1154

20 күн бұрын

"Nothing I ever do again will...." will bring the same thrill, the same passion... (I will never be young enough again to find a task as monumental as this one and even if i find one I will not have the time to solve it) it is a bit (very) sad if he was thinkinng like that at that moment

Everytime I listen to Wiles's work on Fermat's last theorem I get incredibly amazed by his passion and determination to complete the dream of his life. Truly a remarkable person

@henson2k

22 күн бұрын

I'm surprised he kept his marriage

@huzcer

20 күн бұрын

The book about it was very well publicized at the time. Can't see a book about maths doing as well nowadays

@mikemondano3624

20 күн бұрын

He never did anything with Fermat's Last Theorem. He proved the modularity theorem for semistable elliptic curves. He left Fermat's part to others since the proof had become trivial.

@calicoesblue4703

19 күн бұрын

@@mikemondano3624Newsthink, needs to make a Video about Gregory Perelman.

@mikemondano3624

19 күн бұрын

@@calicoesblue4703 Yes, but without his cooperation, no doubt.

I think Andrew is the right guy to tackle the mystery of the frequent disappearance of socks from my dryer.

@postblitz

21 күн бұрын

Racoon theory could explain it.

@user-vf5ft8pw6d

21 күн бұрын

@@postblitz Try getting rid of the dryer first.

@keithrobinson2941

20 күн бұрын

Don't you know? The socks don't disappear....They are time travelling to the future. One day they will reappear in your dryer, or possibly in someone else's dryer. And I have a proof for this; but, unfortunately, I can't fit it in the margin.

@aluisious

19 күн бұрын

@@keithrobinson2941 Funny and all, but the other day I wondered if deja vu is caused by events in your waking life matching up with dreams, which implies your dreams could sometime be anticipating future events. We don't understand our perception of time, or how dreaming works, or how thinking works, so...?? Maybe your socks and your dreams are in the same place.

@gbreslin6635

19 күн бұрын

It is the true uncertainty principle 😁

And here I am trying to solve the mystery of why my steak is always overcooked.

@Newsthink

25 күн бұрын

Heat is too high

@johnbauman4005

25 күн бұрын

​@@NewsthinkAnd/or left on too long! Alternative scenario root cause theory: rudeness to the waitstaff.

@lanzer22

25 күн бұрын

@@johnbauman4005 heh I like the second theory :) Definitely a problem that should t take a lifetime to solve :)

@dfs-comedy

25 күн бұрын

Don't cube the meat; there's no solution for that. A square meal is OK, though.

@vincentmarotta9800

24 күн бұрын

Not a mathematical proof, but here's everything I know about cooking the "perfect" steak: 1. You can use butter, but it's preferable you use avocado oil. Mixing might be an eloquent solution. Avocado oil has a high "burn point" meaning you can heat the oil hotter than most. This allows for good charring on the outside, and a moist delicious inside. 2. Have a butcher cut your steak 1.5" thick. Thick steak allows for nice charred tasty outside, but perfectly cooked inside. 3. Get an instant read temp thermometer. When the inside of your steak reaches between 125-135F, instantly remove it from the grill and let it "rest" uncovered for about 10 minutes. This will make a good Medium Rare. 4. Let steak get to room temp. Pre-layer the steak in avocado oil. Apply generous salt and pepper, and that's it. Seasoning anything else on a good Ribeye steak is a sin. Bring some avocado oil to lightly drizzle during cooking to re-introduce a layer of moistness. 5. Preheat grill between 300-350F. Honestly once the oil starts to catch fire, the inside temp will rise high, but regardless as long as you keep an eye on the internal temp, you should be fine. 5. First cook on side 1 at 45 degree angle. Cook for 2 minutes. Then rotate on side 1 another 45 degrees. Cook for another 2 minutes. 6. Now flip the steak to side 2 at 45 degree angle. Cook for 2 minutes. Rotate on side 2 another 45 degrees. Cook for another 2 minutes. 7. Check internal temp occasionally. Once it reaches 125-135F, remove and let it rest for 10 minutes. This allows the steak's fibers to loosen again, not only making the steak more tender, but also absorbing back some of the juices (by the way, do not drain juices off plate if you see it right after cooking). I hope this helps. Delicious steak every time.

I felt that!.. when he broke into tears 💪

@Shreysoldier

25 күн бұрын

When they paused I thought he was laughing 😭

@extreme4180

19 күн бұрын

@@Shreysoldier ig he was laughing , it was a laugh and tears of success

@stevenvanhulle7242

19 күн бұрын

That fragment is at the beginning of a BBC Horizon documentary on FLT, created by John Lynch and Simon Singh. The documentary was the basis for Singh's book. "Captivating": adjective. Said of a 45 minute documentary which fascinates even though you don't understand a word of the mathematics it's about.

@rtarbinar

8 күн бұрын

I got misty when I saw that! He looked into the deepest secrets of the universe and saw the face of "God" (Spinoza/Einstein/Hawking version, of course)

The reason that Wiles kept his work on Fermat’s Last Theorem secret wasn’t that he feared others might steal his thunder. The reason was that by the mid-20th century trying to prove the theorem was something that drew in cranks and crackpots. No serious mathematician worked on Fermat’s theorem if he valued his reputation in the world of mathematicians.

@darcash1738

23 күн бұрын

What’s the context behind that

@piepiedog1

23 күн бұрын

I believe Wiles himself said that he kept it a secret because he thought people might scoop the proof out from under him given that they knew his field of expertise and thus might be able to make some assumptions about his approach. I think it's unlikely they would think he had slid into crackpottery, but rather the opposite; if _Wiles_ was seriously working on a proof, he must have realized something important. I could be wrong about it being him who said this, but it does seem the most likely reason.

@darcash1738

22 күн бұрын

I see-so mostly the crazy math dudes would try to solve it at that point, but if they were to see that the Big Dog Wiles were working on it, then they would find out that it wasn’t merely a fool’s errand anymore

@XCC23

22 күн бұрын

@@piepiedog1 Well, it's more that there was no way of really working at it for a long time. Taniyama and Shimura stated what's now known as the modularity theorem in the fifties, but at the time, it was just a conjecture. Through the work of Frey, Serre and Ribet in the late 80s, it was shown that the modularity conjecture, if true, would directly imply Fermat's last theorem. So it was really first in 1989 with Ribet's proof of the epsilon conjecture that the path Wiles took to prove Fermat's last theorem actually existed. So it's really more that Wiles happened to be the man with the dedication, the correct research area and the timing to be working in that field when the path opened up.

@Comonad

22 күн бұрын

The new crackpot fascination is solving Collatz conjecture or Riemann hypothesis, like moths to a flame.

Having the motivation to solve an unsolved problem at the age of 10 is just mind boggling

@robertunderwood1011

25 күн бұрын

I think Champollion Was in his early teens, when he first saw ancient Egyptian hieroglyphics, which were a mystery at the time, and determined to translate them

@dwacheopus

25 күн бұрын

It's just an overstimating of their abilities due to the early mental age

@Tethloach1

24 күн бұрын

Unsolved problem : Spending billions of dollars on gambling and erotic dancers. Solution: just be a multi-billionaire. Other solution : Don't gamble or go out

@vincentwu2848

24 күн бұрын

Especially an unsolved problem as dry as this one.

@drgetwrekt869

23 күн бұрын

i dont believe that. he was older

sucks that in the world we live in today people are hesitant to share their ideas due to it being stolen etc. Imagine how much further we could progress in science if it were the opposite

@n-xs8up

26 күн бұрын

That's why we need billions of human like brain who are not hesitant to share finding with each other. Lets see what AI can bring.

@jaromor8808

25 күн бұрын

it was never any different

@MrBeen992

25 күн бұрын

You would do the same...

@maythesciencebewithyou

25 күн бұрын

Today? It seems you don't know much about Math and science history. In the past, Mathematicians would have competitions against each other, and if they found a formula to easily solve something, they would often keep it to themselves to have the advantage.

@vibehighest

25 күн бұрын

@@maythesciencebewithyou lol tell me how much i know about math and science history, please

Sadly, because of its age restriction, Andrew could not win a FIelds Medal, but they did give him a special award.

@holomurphy22

20 күн бұрын

I think he's more famous than the average fields medalist. It's somehow mroe prestigious to solve FLT than to earn fields medal

@mikemondano3624

20 күн бұрын

He wouldn't have gotten a Fields Medal anyway for that proof. He'd need a greater body of work.

@aleksandarloncar2914

19 күн бұрын

He got the Abel Prize, which is more important

@cracknblast8247

12 күн бұрын

Mike Mondano that was a good one. Andrew Wiles would have easily won the Fields Medal. If you think otherwise you need to check his work again or reflect on yourself because delulu is not the solulu

@laurent-ym2jw

11 күн бұрын

May be a reason that Abel price arrive .... no more reason of age restriction (at beginning I think it was to avoid : given for all he's work at the age of 90 years old) ?

Dear Ms Pom, thank you again for a fantastic exposition of a truly inspiring story. All your videos are amazing. I remember that I was doing my PhD at the time, watched the documentary on British tv, and read the book by Simon Singh.

Wow, that video was absolutely incredible! Watching Andrew Wiles persevere through all those challenges and finally solve the theorem was so inspiring. It really shows that with enough determination and hard work, you can overcome any obstacle. Truly amazing!

@mikemondano3624

19 күн бұрын

Yes, a good video. But the video's contents were even more amazing.

Never underestimate the determination of a 10 year old.

@ryandavid1277

20 күн бұрын

The best comment here!

129 pages ? I did a shorter proof but youtube says its too long a comment. Your loss...

@DANKKrish

23 күн бұрын

real!

@tybofborg

22 күн бұрын

Monsiour Fermat, I presume?

@MrDooteronomy

19 күн бұрын

Well then make it even shorter. Duh.

@thorr18BEM

19 күн бұрын

Just put it in the margins.

@B3Band

18 күн бұрын

"I have discovered a proof, but it doesn't fit in the margin" is the 17th century equivalent of "I have a girlfriend, she goes to another school" He made that shit up, but we just believe him because it happened 400 years ago.

We promised each other that no matter where we went, we would never be separated. He broke his promise.

@piotr004

20 күн бұрын

Yea, that was so sad and tragic, especially when his fiancee was so loyal, and loved him so much (such type of love is very rare, and Taniyama could not see her love probably, that's why it's so tragic)...

@gbreslin6635

19 күн бұрын

He didn't go anywhere and they will never be separated, or maybe together, sooner or later. ☺

@wezzla

19 күн бұрын

Imagine she was the reason for him committing suicide. Coupe of months later: Knock knock, guess who!

@B3Band

18 күн бұрын

"I have discovered a proof, but it doesn't fit in the margin" is the 17th century equivalent of "I have a girlfriend, she goes to another school" He made that shit up, but we just believe him because it happened 400 years ago.

@TheHadMatters

13 күн бұрын

@@wezzla Do the boomers know you're supposed to love your spouse?

That emotional clip of his was quite something - truly shows the blood, sweat, passion and love he put in.

When he said “I’m sorry” I felt that.

The most extraordinary thing about this proof is that it builds on the work of so many others pulling it all together to prove Fermat's last theorem. The documentary on this is a very good watch, really gives a flavour of the amount of work involved and how much it meant to him.

That obsession of some men to put a stone on the foundation of human civilization is what drives us all towards a brighter future! All my admiration towards him!

You gave an exceptionally clear summary of the proof approach, better than I have seen/absorbed from other popular sources. Well done!

This is what impresses me. Passion and dedication. Well done sir!

Thanks for explaining. I could not get such holistic, simplified explanation elsewhere

@mikemondano3624

19 күн бұрын

It's the opposite of holism. It is exactly the sum of its parts.

Nice video. A woman was involved in the early attempts: Sophie Germain who had to disguised herself as Monsieur Leblanc to avoid discrimination. She was communicating to Euler and eventually had to admit that she was a woman when Euler planned to me M. Leblanc in Paris.... She had feared that Euler would be angry that she posed as a woman. He was not at all.

@ratvomit874

24 күн бұрын

Not Euler, it was Gauss she was corresponding with. But yes, truly great minds want everyone to flourish regardless of gender. In fact, Gauss actually campaigned for Sophie to be given a prize for her work

@clinger007ringer-xu2ir

23 күн бұрын

Probably the tea lady....

@drgetwrekt869

23 күн бұрын

we need more Eulers and less trumbs

@calicoesblue4703

19 күн бұрын

@@drgetwrekt869Facts💯💯💯👍😎

@mikemondano3624

19 күн бұрын

It was largely in the humanities that discrimination against women flourished. Math and science could not understand what Emmy Noether's wearing a dress had to do with anything and one said as much explicitly, as one of many examples.

I read the book and watched the documentation by Simon Singh on the subject and was amazed by Andrew Wiles‘ dedication over years and years - incredible and admirable!

I read Simon Singh's book on this. Never thought i would manage to finish such a book, never mind read it twice!!

This was an excellent talk.

I remember reading about this when it happened. It made world news.

@mikemondano3624

19 күн бұрын

I remember when the house on the corner was green.

thanks for making such complex topics approachable and fun!

Thank you, thank you, thank you for an excellent video. I've been interested for a long time in the Poincare Conjecture and both the drama and the personalities that accompanied its solution by Grigori (Grisha) Perelman in 2006 and onward. I didn't think that I'd have the chance to learn about another mathematicians of comparable heart, drive, and determination as Perelman, until this video about Andrew Wiles. Both Perelman and Wiles built upon the work of other great mathematicians to resolve hurdles and advance pure mathematics, which in the decades and centuries to come, will enable the creation of new technologies that we cannot yet know at this point in time.

The real question is, did Fermat actually have a "marvelous proof" to the equation, as indicated in the margin?

@dgnoob18

25 күн бұрын

He was joking.

@schroedingersdog7965

25 күн бұрын

Some time after writing his famous notation, Fermat published a treatise including a section describing equations of the form X^n + Y^n = Z^n. This would have been the perfect place to have published his "proof", yet no such proof was included. Because of this, most mathematicians believe that Fermat realized he'd made a mistake in his "proof".

@stevezelaznik5872

22 күн бұрын

Some of Fermat’s theorems were disproven so it’s always possible his Last Theorem just had a flaw somewhere in it too

@television9233

20 күн бұрын

A professor once told me that Fermat's proofs are closely similar to an almost solid proof to the last theorem, I say almost because that proof turns out to have tiny flaws that once unraveled show that it is wrong in the end. What likely happened is that Fermat's was using this "proof", did not realize the existence of the small mistake, and truly thought he had a proof that was too tiny for the margins.

@calicoesblue4703

19 күн бұрын

Lmao, No Fermat definitely did not have a proof for his Fermat theorem. There was not one shred of evidence for that. For a solution like that it would leave a huge paper trail.🤷

Andrew Wiles gently smiles, Does his thing, and voila! Q. E. D., we agree, And we all shout hurrah! As he confirms what Fermat Jotted down in that margin, Which could've used some enlargin'. Tom Lehrer

I remember that. The absolute joy of that man in his press conference.

Simon Singh's brilliant Horizon/Nova documentary film on Andrew Wiles's triumph is a contender for the best post-War documentary. To make accessible such a high-level achievement is "the stuff of which dreams are made on" for every documentary maker.

This video basically described how it felt for me to do my math homework in high-school.

I'm in awe of these people that can understand (and solve!) problems such as this. I'm curious to know how solving the Fermat theorem translates to real world applications.

@schrodingerscat1863

20 күн бұрын

It doesn't on it's own but there is a lot of other math that is built on Fermat that was at risk if Fermat was found to be wrong.

@henkn2

16 күн бұрын

If everyone was trying to solve this kind of problems there was no time left for warfare

@schrodingerscat1863

16 күн бұрын

@@henkn2 There are only about a dozen people on earth capable of solving this type of problem. Everyone else would be wasting their time.

@enkilugal3282

14 күн бұрын

@@henkn2 Best comment I've seen.

@notrhythm

12 күн бұрын

now if only we had a simple equation for pi

Every time I have heard the story I have I have wept with joy. What an incredible incredible life. I remember hearing the news of the initial proof at the department of mathematics at University of Ottawa where I was a student, I did not know of the history behind it at all but I remember being completely in awe. It is equivalent, do what I think people around the world felt, when we landed on the moon. Even as I watch this video tears started rolling down my face. It's incredible.

What an amazing story. Thank you for narrating this so beautifully

Ain’t no way Fermat actually solved that 350 years ago. He probably thought he did but dang this dude did a lot of work.

@tedwalford7615

21 күн бұрын

Exactly. Clearly a bulletproof proof took much more than he imagined.

@postblitz

21 күн бұрын

The problem there is Fermat was a genius and has a lot of hard bank in math to prove it - which could mean he may have had it but never published it, as it often happens. A lot of his personal work was lost and found much later. The problem is always that you want to be first on anything which means to publish you want everything rigorous and complete. That means most mathematicians will keep their scribbles, however brilliant, stacked in miles of secretive papers.

@coldFire2023

21 күн бұрын

Fermat himself claimed to have found a marvellous proof of the theorem and unlike you, he was honest and sound.

@television9233

20 күн бұрын

A professor once told me that Fermat's proofs are closely similar to an almost solid proof to the last theorem, I say almost because that proof turns out to have tiny flaws that once unraveled show that it is wrong in the end. What likely happened is that Fermat's was using this "proof", did not realize the existence of the small mistake, and truly thought he had a proof that was too tiny for the margins.

@michaelwirth6843

20 күн бұрын

It can seem that way but we still have no idea how the Egyptians made the pyramids which means we shouldn't under estimate old technology. The Beatles made Sgt Pepper on a 4 channel tape machine.

The real story is that it shows that no matter smart one is one still needs to rely on the work of others

Beautiful! Thanks for making this.

Wow, great video. I knew the story but your explanation of it is fantastic. Thank you.

Andrew Wiles did the equivalent of jumping from the tallest mountain in the world to the next tallest mountain.

@mikemondano3624

19 күн бұрын

He had a huge number of collaborating sherpas across whom he could almost have walked.

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@LorangeBrodhead

16 күн бұрын

People dont understand that the prices of things are never going back down. This inflation is deeper than we think. Those buying groceries are well aware that the real inflation is much over 10%. The increments dont match our income, yet certain investors still earn over $365,000 in stocks and assets. Wish I could accomplish that.

@AkhavanPoljak

16 күн бұрын

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@YambaoDebien

16 күн бұрын

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@YambaoDebien

16 күн бұрын

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@FoggHainline

16 күн бұрын

Finding yourself a good broker is as same as finding a good thing, which you go less stress, you get just enough with so much little effort at things

"Fermat's Enigma" is really beautifully written book. Joy to read.

This was an awesome video. Thank you!

Excellent presentation on what works created by others Wiles relied upon to develop his proof. I remember when this was announced, thirty years ago. One item mentioned then was that for at least two reasons, Fermat's proof could not use the same methodology as what Andrew Wiles used. This implies Fermat's proof (if it exists), must be more compact & elegant. #1) Wiles' proof was extremely lengthy, on the order of 100+ pages. That is WAY, WAY beyond something which would not 'fit in the margins'. #2) The 'tools' (the works created by others) Wiles used had not yet been developed in Fermat's time. There remains an open question as to whether a more compact/elegant solution exists.

@RedSkyHorizon

19 күн бұрын

I always wondered this too.

Wiles and Forrest Gump have something in common: "I think I'll stop here". LOL.

@krzysztofkowalski2816

22 күн бұрын

Big dick energy

I remember watching this long documentary on PBS, and so my love of math continues, kudos to you Andrew Wiles🎉.

This was fantastic to watch. Like CInema when I was young. Thank you

IF we assume Fermat didn't lie about having a proof, there should now be an award for someone discovering a proof that doesn't require any new math invented in the last 350 years.

@toeknee-chestnut

22 күн бұрын

My first thought was that Fermat didn't have a proof but it was a marketing ploy to keep himself in the history books. :-)

@timwhite1783

22 күн бұрын

I think you know this but he probably didn't have a proof. It's most likely he was either lying (as you said) or he *thought* he had a proof but in reality it breaks down.

@Traumatree

21 күн бұрын

@@toeknee-chestnut Or, his reference that the proof couldn't fit in the margin was an indication that it was/would be be very long...

@television9233

20 күн бұрын

The most likely option is that Fermat didn't lie... he was just mistaken that his proof was completely absent of any flaws.

@schrodingerscat1863

20 күн бұрын

This is not the same proof as Fermat would have had. It is a modern proof building on the work of other modern proofs. It is also conceivable that Fermat's own proof was incomplete and would not have stood up to scrutiny.

There are those with otherworldly intellect... and there are those with an otherworldly relentless work ethic... in the overlap of the two.. you will find Andrew Wiles.

@yasirpanezai5690

24 күн бұрын

He is a fraud

@keyboard_toucher

23 күн бұрын

He is neither otherworldly nor a fraud. He is just a man who chased a lifelong passion and never stopped learning.

@lenudan

22 күн бұрын

@@yasirpanezai5690 Envy is often rooted in low self-esteem - sometimes from very early unmet childhood needs where the person feels inherently not good enough. An envious person may frequently ‘compare and despair’ and find themselves wanting. And so they seek to bring down the object or person who they perceive is making them feel that way.

@yasirpanezai5690

22 күн бұрын

@@lenudan agreed but still the guy is a fraud and the maths question is unsolvable

@AndresFirte

20 күн бұрын

@@yasirpanezai5690 oh, look, the math equivalent of a flat earther. It’s always hilarious to see math cranks in the wild. Please tell me which other theories you believe in: what’s your thoughts on the moon landing, the shape of the earth, the 2020 virus, and the existence of imaginary numbers?

I understand his emotions. When I use to have a "perfect" thought, a eureka moment, it was huge joy but came with physical pain from the effort. Hard to explain.

A stunning and astonishing achievement by Andrew. The real deal...

Fermat's Last Theorem: "I'm the World's Hardest Math Problem!" Riemann Hypothesis: "Hold my nontrivial beers..." (This is a joke. I am not denigrating Andrew Wiles' incredible achievement at all.)

@magicmulder

25 күн бұрын

Yes and no. FLT was so intriguing because it looked so simple. Wiles proved the Taniyama-Shimura conjecture which arguably was at least as groundbreaking and important as RH is.

@dfs-comedy

25 күн бұрын

@@magicmulder Yeah. I think the hardest "simple-looking" one left is Goldbach's Conjecture

@barakeel

25 күн бұрын

@@dfs-comedy The Collatz conjecture is arguably even simpler. It does not talk about primes.

@JamesJoyce12

23 күн бұрын

Three Body Problem - suck it - the both of you.

@copypaste_pro

23 күн бұрын

I’m with you… the hardest problems remain unsolved

I would say, Poincare conjecture is way harder than this one.

@calicoesblue4703

19 күн бұрын

Yep, I agree. Newsthink needs to do a Video on Gregory Perelman.

@julien5053

19 күн бұрын

@@calicoesblue4703 Andrew Wiles is brilliant, but Gregory Perelman is a genius.

@pookz3067

5 күн бұрын

The proof is definitely not way harder, as someone who has read and understood both. Both require a fair but a machinery and both have had very clear And easy expositions by now if you understand the machinery.

Fantastic piece, well done!

Amazing video. Thanks for sharing. ❤

I wonder what Fermat’s idea for the solution was. We’ll never know, but it’s interesting to think about

@francoislechampi2002

23 күн бұрын

If I understood it well, many proofs were given after Fermat's death. But they all had a flaw. So maybe Fermat's proof was simply false, and it was impossible to proove with the maths knowledge of that time.

@timonix2

22 күн бұрын

There have been a few contenders that Fermat himself likely could have come up with. But they all contained mistakes. Likely answer is that Fermat himself made a mistake trying to prove it and he likely did write down and promptly threw away the "solution" once he realized it was wrong.

@arthurmaniaci4498

21 күн бұрын

Fermat was closer to solving it than people realize using a technique he originated, the method of descent, he proved the case for n=4 and let other people know. I believe his comment was about the method of descent, but he didn’t realize until later that it didn’t work in any case. That in itself is very worthwhile when you consider he was not a full time professional mathematician.

@modok_ff

19 күн бұрын

@@francoislechampi2002 but if his proof was false, how did he come up with it in the first place?

@francoislechampi2002

19 күн бұрын

@@modok_ff we don’t know about his proof but we know about all the other attempts by no-so-good mathematicians. If I understood it well , they all assume about some property which has been proven for real numbers but not imaginary numbers. So maybe (just maybe) Fermat did the same mistake. Don’t forget that Fermat was not a professional mathematician. He did maths for fun after work and we know him having other false maths proofs.

It is my thought that what Fermat decided was a proof of the notion that there are no solutions when x > 2, was later determined by him to be incorrect and invalid. He chose not to publish anything about it until he could go back to the drawing board to work through it again.

@WestOfEarth

25 күн бұрын

It does seem difficult to imagine Fermat had conceptualized Wiles complete proof in that famous moment when he wrote 'unable to write it in the margins'. So I would tend to agree with you.

@Matlockization

25 күн бұрын

You just explained this video better than the narrator did, as I was wondering what the answer was.

@snakesocks

24 күн бұрын

Correct. The prevailing theory is that Fermat probably thought his proof worked when in fact, it didn't. It certainly wouldn't have approached Wiles' strategy, which is too modern.

@luminiferous1960

23 күн бұрын

You mean when n > 2 in the equation as written in this video: x^n + y^n = z^n

@michaelmartin5995

23 күн бұрын

@@luminiferous1960 Yes Einstein, a comment made in the context of the subject matter in the video.

That man's severely impressive. Great job. Thank you.

Very good presentation! Unsure if Wiles initially sent his paper to Inventiones Mathematicae (A Springer Verlag publication), his eventual thesis was published by Annals of Mathematics. Also, like the fact that you mentioned Mazur. Perhaps should also mention Frey.

I read somewhere that after Wiles completed his proof, only a handful of people in the world could understand it, let alone verify and cross examine it.

@dovydenaspdx

25 күн бұрын

No doubt this is very true. I also have a theory of gravity which will allow warp travel, and I've proved it with a 200 page esoteric paper no one can understand. I might be a total faker, but as far as Wiles goes, what exactly is the result? Not even warp travel, not even new vector parameters for parabolic curves. Nothing. So it's nothing, understood by no one. At least I shot for the moon. Eh, that's life.

@tbunreall

24 күн бұрын

they literally said that in the video

@warpdrive9229

24 күн бұрын

You didn't watch the video.

If Fermat didn't lie, he couldn't have used the same tools. But I deem it probable that Fermat hat a flawed or ratehr unfinished prrof that he thought was complete and valid, without any peer review.

@mikemondano3624

19 күн бұрын

You don't need peer review to be correct. The false or fraudulent claims in 70% of published papers all had peer review. (That number is much higher now. Tens of thousands of fraudulent papers were submitted last year and many published. AI is much used.)

I actually understood what you were showing - didn't expect that

I fear the solution is so complex it only makes the problem more elusive

Imagine how the world will be transformed if AI becomes capable of solving such theorems in simple and elegant ways.

@mikemondano3624

19 күн бұрын

Solving and proof-checking software is already in wide use. The problem with AI is that it has learned to lie.

@BrianMosleyUK

19 күн бұрын

@@mikemondano3624 well, from that perspective you'll love Grok - the maximally truth seeking AI under development by Elon Musk's company.

@mikemondano3624

18 күн бұрын

​@@BrianMosleyUK Lies may become undetectable until it's too late.

@schizo5189

12 күн бұрын

​@@BrianMosleyUK if you think Grok is what you say it is, you're one of the dumbest mfers I've ever seen.

I have learnt an incredible amount without understanding..........from this man.

@EternalSearcher

22 күн бұрын

a fool like you never learns

@mikemondano3624

19 күн бұрын

Sorry you didn't learn anything. Maybe start from the beginning since "learn" means "understand"..

@nicholasgloc8555

19 күн бұрын

@@mikemondano3624 It`s clear you`re the one who didn`t understand my comment. i think it`s to deep for you.

@mikemondano3624

18 күн бұрын

@@nicholasgloc8555 To deep or not to deep, that is the quest, chum.

In his book on Fermat's Last Theorem, the author noted that the tools available to Willey weren't available to the French mathematician.😮 The Professor had found a unique way to solve the problem. Read the book by Simon Singh. It's very interesting.

This shows my favorite aspect of science and math: The power of solving problems over a course of many generations, working together for one thing, even if you may not see the result in your lifetime. Different cultures, different nationalities, different contexts, and even different time eras, but working together and actually making progress that will never be lost!

129 page proof, using methods not known 357 years ago… are we sure that is what Fermat called a "truly marvelous proof"?

@television9233

20 күн бұрын

Why do you ask "are we sure" on something that was never stated nor is true in the first place. Fermat's proof either had a flaw (most likely) or he was joking/lying (possible but unlikely)

@EAOO

20 күн бұрын

Fermat didnt have a truly marvelous proof lol

@dougstewart5656

19 күн бұрын

@@television9233 another logical possibility is that Fermat did have another, correct, shorter, more elegant proof

@mikemondano3624

19 күн бұрын

@@dougstewart5656 Yes, a "logical" possibility. But most logical possibilities do not exist.

@lordhenry2965

16 күн бұрын

​@@dougstewart5656 Very unlikely

I can listen to this woman all day❤

@ValidatingUsername

26 күн бұрын

Certainly covers the content well that she’s covering 😊

@lanzer22

25 күн бұрын

So glad she's on her way to 1M subs. I remember when she was at 60k and I was thinking the same thing.

Excellent summary of the Wiles timeline. You missed out Gerhard Frey's work which enabled Ken Ribet to tie the conjecture to Fermat.

I very distinctly remember when this happened ... people in the math world were angry it was all done in secret.

We aren't sure that this is the hardest math proof until someone solves the Riemann hypothesis.

With the mathematical knowledge of Fermat's day it was impossible to solve the last theorem

Good storytelling, thank you

Thanks for explaining, I wonder what Fermat's method was? A friend of mine was looking for a geometric proof once.

so what is the solution 🤔

@StefanReich

24 күн бұрын

The solution is 200 pages long... ^^ She did her best to give a high-level description (which methods, theorems and conjectures were used)

@AndresFirte

20 күн бұрын

The solution is that there’s no numbers that satisfy the equation

Looks pretty straight forward to me.

I'm still trying to solve how to program a VCR to record a weekly TV series on the same day each week.

These people are incredibly smart, and their analytic skills are just applicable to literally every thing in our world. We need more people in STEM.

@hindugoat2302

25 күн бұрын

STEM is particularly easy for AI to handle... people wont have jobs in those fields soon. We need people in jobs that AI cant do, like electrician, plumber, nurse...

@abd_cheese7353

25 күн бұрын

Stem is not at all easy for AI to handle ​@@hindugoat2302

@CellRus

25 күн бұрын

@@hindugoat2302 ​​⁠So can AI dissect embryos for biologists? You seem to equate STEM with just people sitting around thinking and do nothing. Plumber requires less skills than dissecting an embryos so with your logic, Ai would replace that job much faster than STEM.

@hindugoat2302

23 күн бұрын

@@CellRus if they can make a robot arm that can perform heart surgery, than yes they can make one that dissects embryos and this stuff just gets better and better over time, unlike a human surgeon who has limitations

@hindugoat2302

23 күн бұрын

the high thinking jobs can be done by AI high precision jobs (like surgery) by robotic arm with AI. highly repetitive and predictable jobs like driving can be automated easy. But some jobs are hard to automate, because they are not repetitive, require human interaction or are difficult for robots to interact with. -like plumber

Wiles showed that the proof was indeed too large to write in the margin.

@ghyslainabel

24 күн бұрын

"showed"? I think you mean he "proved" it.

@rasimbot

23 күн бұрын

There may be another, simpler proofs

@Biosynchro

18 күн бұрын

It depends on the magnitude of the margin. :-P

So what numbers can be inserted and show the formula solved?

I remember the excitement, disappointment and jubilation as it unfolded. One of the few times that news for nerds made it into general media coverage.

I wonder how long before we get a proof (or disproof) of the Riemann Hypothesis, arguably the "heir" to Fermat's Last Theorem

@mikemondano3624

19 күн бұрын

It is arguably completely unrelated and there are far more and better candidates for "heir".

Going monk mode celibacy gives you super brain power and genius ability.

@musicandmathyvids221

20 күн бұрын

you just summarized one of Seinfeld episodes where George Costanza did exactly that.😂

@tinafeyalien

20 күн бұрын

He was married with children while working on the proof.

@mikemondano3624

19 күн бұрын

It certainly focuses the mind which is why we have Incels. But the search has not yet uncovered a celibate monk.

EXCELLENT video! Thank you! The one thing I question: Is it agreed among mathematicians that Fermat's Last Theorem was the greatest unsolved problem in math? I thought that honor went to the Riemann Hypothesis (which, of course, is still unsolved).

I recall watching the BBC Horizon documentary when that came out in the mid-90s (which is still available on BBC iPlayer to this day) when I was still just a school kid. The fact this problem came back for a second attack at his first attempt of the proof shows just how insane this problem has been, spanning 3 centuries. Just like the Balrog in Lord of the Rings when Gandalf defeats it and it starts to fall into the cavern, but it swipes its whip back for one final hit. Truly a wonder of our times, and as Ken Ribet has said, has paved a path into areas of extremely fruitful mathematics.

It’s ironic how prideful and paranoid of having ideas stolen, yet each idea depends on paths paved by the ideas of predecessors. He didn’t want it solved, he wanted to be the solver. Kind of an unnecessary hero complex. Being more open from the start would’ve saved him a lot of time.

@ecMathGeek

25 күн бұрын

History remembers the one who solved it, not the one who got 90% of the way there. Awards are given to the one who solves it, not to the people who produced the steps to do so. No human in existence is going to be okay having their hard work stolen for someone else's achievement.

@dmitripogosian5084

25 күн бұрын

Next time tell it to some distance runner that it is not important that he beats world record in 100m, just that somebody does it. See how it will motivate him, and helps him is unnecessary hero complex

@zat5176

25 күн бұрын

@@dmitripogosian5084Exactly

That’s serious dedication. My mind is not at rest just confuddled 😂

@4:00 !!! Wow, look at the stacks of paper on and around his desk! I'm almost more amazed he could sort through all this.

@StefanReich

24 күн бұрын

Haha. Yeah, me too

@4fgaming925

19 күн бұрын

@@StefanReich this is me as I dont clean my desk after studying for like 9-10 days lol

Thank you for this x

Amazing I watched the whole video without understanding anything. I just want a glimpse of how these geniuses work.

Very, very few people get to achieve what they set out to do as a child. This guy did it, in the face of centuries of legends failing. What a G

How is this equation applied in physics, chemistry, engineering, economics, and informatics?

That is impressive. One thing though is he does seem to rely on major building blocks done by others though. You kind of wonder if there was a more direct algebra method than making proofs about surfaces.

BBC Horizon had a really captivating and emotional episode about Andrew Wiles and his work called "Fermat's Last Theorem" - amazing TV 😉