Mathematics: Beauty vs Utility

Mathematics: Beauty vs Utility - Numberphile

Рет қаралды 411,173

7 жыл бұрын

Should mathematics be done for its pure beauty or should it have practical uses? And why are many mathematicians so bad at outreach?
Discussion with famous French mathematician, Cédric Villani.
More Villani videos: bit.ly/Villani_Videos
Numberphile videos on Magic Squares: bit.ly/MagicSquareVideos
Cédric Villani website: cedricvillani.org
His book Birth of a Theorem (Amazon): bit.ly/BirthOfATheorem
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): bit.ly/MSRINumberphile
We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science.
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Videos by Brady Haran
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Пікірлер: 539

@euskalX 7 жыл бұрын

In Cedric Villani's office, entropy clearly increases

@numberphile 7 жыл бұрын

@camembertdalembert6323 6 жыл бұрын

there is a hidden order our minds can't guess.

@NaviSly 6 жыл бұрын

Maybe, the entropy is constant in the system { Villani's office, Villani }.

@mimerafm3794 2 жыл бұрын

Is the joke that his office is a closed system?

@w花b 2 жыл бұрын

@@mimerafm3794 Numberphile clearly managed to enter

@flojito3428 7 жыл бұрын

I sent an email recently to Cedric Villani, asking for a meeting and a long interview about mathematics and poetry, for my slam poetry channel... I am a complete nobody, not a mathematician (although interested in the matter, and in science in general), i have a mere 150 followers... But he accepted my request with pleasure ! This is a sign of true goodness, on top of all the mathematical genius :) Gotta love this guy !

@Erdnalexa 7 жыл бұрын

Flojito - Le slam à la paille I met him in 2012, we spend the evening talking about mathematics, science, and politics. He is a great person, he inspired me for my studies, back then I was nobody and now I'm starting my PhD. Anyway if he remembers the evening of May the 9th 2012, tell him the tall long-haired guy says hi. If it helps, we also talked about his trips with Dr Germoni.

@theflaggeddragon9472 7 жыл бұрын

That's amazing! A friend of my father's, a leading researcher at Google, Peter Norvig, got to speak to him. I was so incredibly jealous when Peter told me. I'll wait for when the time is right to ask for a meeting with him.

@H0kram 7 жыл бұрын

Ne t'ai-je pas déjà vu slammer dans un bar de Belleville ? :) j'ai regardé ta chaîne et, le visage et la voix me sont familiers, je crois. Ca ne m'étonne pas que Monsieur Villani apprécie l'idée de te rencontrer, d'une part parce que c'est un chic type comme on en a très peu sur la place publique, de l'autre parce que c'est un poète, à sa façon. Rencontrer cet homme ne peut-être qu'enrichissant et super intéressant, tu as bien de la chance :)

@flojito3428 7 жыл бұрын

Ah ben c'est probablement au Downtown Café non ? Mais oui je slam souvent dans des bars parisiens donc on a dû se croiser ! Malheureusement j'ai dû mettre ma chaîne en stand by pour cause de nouveau boulant très prenant, et du coup mon entretien avec Villani, bah j'ai dû le mettre en stand by lui aussi :/ Mais effectivement c'est un vrai poète pour peu qu'on comprenne son univers !

@MagicAccent 5 жыл бұрын

How did it go? :)

@imeredithc 7 жыл бұрын

His handwriting when he wrote the Boltzmann equation was so beautiful

@crabe804 7 жыл бұрын

Too bad he didn't wrote with a goose feather ^^

@notpresobama1553 3 жыл бұрын

I wonder how many times he has written it in his life 🤔

@stumbling 7 жыл бұрын

Everything French people say in English sounds philosophical.

@pierrethiriet7003 7 жыл бұрын

"Je vais descendre les poubelles" :)

@zeubi4572 7 жыл бұрын

ÜsernameTaken mais quelle finesse... C'en est pathétique

@remifiori9415 7 жыл бұрын

I'm french, and I can say you that what this guy say when he speaks french alqo sounds philosophical ;)

@M_Julian_TSP 7 жыл бұрын

"J'aime me masturber sur toi pendant ton sommeil et éjaculer dans ton nez." So philosophical xD

@remifiori9415 7 жыл бұрын

He didn't say that, did he ? -.-

@AshishXiangyiKumar 7 жыл бұрын

It's sort of ridiculous that people are voicing unease or any kind of displeasure at this guy's outfit. He's one of the world's finest mathematical minds, and is comfortable enough with himself to wear what he likes, rather than what arbitrary social convention dictates. And what do we do? We say, "Aha, you might have a beautiful mind, but I can *conform*. How about that, eh?"

@Vitorruy1 7 жыл бұрын

they r just jelly bruh

@AliceDiableaux 7 жыл бұрын

I honestly didn't even notice what he was wearing, so I was pretty confused at the comments. He's not in a fashion show so it's completely irrelevant what he's wearing in this video.

@pianoman1857 7 жыл бұрын

Good to see piano and maths linked ^^

@Ashanzer 6 жыл бұрын

Spot on.

@arpitdas4263 4 жыл бұрын

Haters gonna hate

@kguy152000 7 жыл бұрын

I want him to whisper equations in my ear...

@Sensanty 7 жыл бұрын

kguy152000 Stop, you're getting me flustered at the thought of it

@jacl9976 7 жыл бұрын

kguy152000 *whispers* y = mx+b

@victorwhite8356 7 жыл бұрын

kguy152000 *whispers* "x^(a+bi)= (x^a)[cos(b•ln(x)) + i•sin(b•ln(x))]"

@fofolp1213 7 жыл бұрын

*whispers* 0^0=2

@davecrupel2817 7 жыл бұрын

😂

@andretsang7337 7 жыл бұрын

He speaks with more eloquence than most native English speakers.

@Yourmom-dd3fh 7 жыл бұрын

he speaks with more eloquence than most native French speakers too

@Triantalex 9 ай бұрын

??.

@hey8174 7 жыл бұрын

I think it's dangerous to say that doing mathematics for the purpose of utility isn't beautiful..And dangerous to say doing mathematics for the purpose of beauty isn't useful. It is a specturm, and both ends have offered valuable contributions.

@completeandunabridged.4606 7 жыл бұрын

Tuc Cop out, but I do agree.

@AlbertSirup 7 жыл бұрын

useful for whom?

@Cyriacdt 7 жыл бұрын

Tuc I think the point is, not everyone sees the beauty in the utility of mathematics, especially people who don't understand it. Sometimes, in order to get people interested in Mathematics as a whole, one will have to show things that are "cool"

@TheLuxma 7 жыл бұрын

Tuc The concept of doing mathematics for utility is beautiful, it's the "useful math" itself which is usually horrendous (to most people)

@iAmTheSquidThing 7 жыл бұрын

I think that's pretty much what he said though. "When it's useful it's even more beautiful." and "Sometimes what's useless will become useful."

@Miouwe 7 жыл бұрын

"if you don't manage to talk the way they understand, you'll not become their friend"

@le-math9247 6 жыл бұрын

AzaardStyle earth to all math teacher. Earth to all math teacher~

@ronmedina429 5 жыл бұрын

don vito?

@Triantalex 9 ай бұрын

??.

@MrPictor 7 жыл бұрын

Brady is a top notch interviewer. Great questions and answers about things that aren't discussed anywhere else.

@Triantalex 9 ай бұрын

false.

@lowsiento 3 ай бұрын

@@Triantalex care to elaborate?

@Ndo01 7 жыл бұрын

This guy is renaissance incarnate.

@plackiplicki3531 5 жыл бұрын

‘ reincarnate

@skaruts 5 жыл бұрын

He does look like he time traveled directly from Da Vinci's neighborhood.

@Triantalex 9 ай бұрын

false.

@sk8rdman 7 жыл бұрын

As someone who aspires to the field of education, I have long since found that the most difficult part of teaching is remembering what it is like to not know and understand what you are teaching. Only those who can manage this will be able to sympathize with the perspective of their students. Too often, when we learn something new, we block out the memories of not knowing, because it conflicts with our new understanding, but this is a mistake. Because too often too, when we try to share that understanding with someone else who doesn't know it, we fail to meet that person halfway. We must try to remember not only the conclusions we come to in our learning, but also the journeys taken to get there, if we ever hope to guide someone else along that same path.

@phillipchavez1321 3 жыл бұрын

Damn. Wow, so true 👌

@aidanhall6679 3 жыл бұрын

Brilliantly encapsulates the beauty of teaching - it is from this premonition that my underlying passion for teaching became clear. I believe that to inspire others to learn so that they might aspire to a life of education and in turn inspire future generations is among the noblest endeavours one can dream up.

@parkerd2154 7 жыл бұрын

Cedric has become one of my scientific heros as of late. His passion for mathematics is contagious. When I'm getting bogged down with my diff eq work I watch a portion of an interview or lecture of his and find the motivation to continue. That's actually what I'm doing right now. Thanks !

@ElloetteLightbringer 7 жыл бұрын

I love this guy! I could listen to him teach and speak all day!

@allkinds1069 7 жыл бұрын

ElloetteLightbringer has a very calm voice

@thstroyur 7 жыл бұрын

Could work on that accent a bit, though - it would help him get da muny for his museum :)

@Thewardra 6 жыл бұрын

French 's accent is fine ok I got the same! X)

@Triantalex 9 ай бұрын

false.

@alexandrugheorghe5610 7 жыл бұрын

I see Cedric, I instant watch.

@NoriMori1992 7 жыл бұрын

[opens KZfaq] [sees two Cédric Villani videos uploaded today] [dies]

@NotMeInc 7 жыл бұрын

NoriMori [rip]

@heribertocastro6652 7 жыл бұрын

Not only is he a genius but he also has a unique style! It's awesome. Honestly he's like my goals right now.

@numberphile 7 жыл бұрын

Some captions are available - you can use the button under the video!

@user-rv6py8cd6p 7 жыл бұрын

Numberphile Can you do a vid on Pascal's triangle?

@martindouge4504 7 жыл бұрын

Numberphile On behalf of all of us French people, I say sorry for our terrible accent.

@numberphile 7 жыл бұрын

+Lord Hades I think the French accent is brilliant.

@martindouge4504 7 жыл бұрын

Glad to see someone appreciates it !

@olivierb.2149 7 жыл бұрын

Lol pourquoi s'excuser. L'Anglais de Villani est excellent en plus... Bien meilleur que celui d'autres intervenants de Numberphile d'ailleurs

@wuzhenick 4 жыл бұрын

He’s a very empathetic human being. Love his way of explaining many abstract subjects.

@sunrisesofi450 7 жыл бұрын

I liked the points he made about how different it is when you're actually in charge of administrating something, and having to portray a certain image or give utilitarian reasons to companies for funding, and at the same time being frustrated as a mathematician that others not always see the beauty of math itself. Love his outfit by the way.

@dk6024 7 жыл бұрын

Museum of mathematics!? That's my next travel destination!

@QuantumPolagnus 7 жыл бұрын

I like this guy - he has that soft-spoken manner that makes you stop and listen to what he has to say, and what he has to say is very thoughtful.

@Ben-qe8ju 7 жыл бұрын

His passion is incredible. I find it so inspiring, and also oddly comforting, listening to him and others who are absolutely devoted to their craft. Now I remember why I studied mathematics.

@TheAIEpiphany 2 жыл бұрын

05:06 "and there is no shame in something being useful" - that's like the most mathematician's thing to say ever hahah

@michapatek3773 7 жыл бұрын

"There is no shame in something being useful" This made me laugh xD

@NuclearStr1der 7 жыл бұрын

Cedric remains my absolute favourite mathematician. His soul and kindness is incredibly endearing in light of his intelligence and wisdom. A truly rare person.

@MrZhilvinas 7 жыл бұрын

It's actually rather mesmerizing watching him constantly keep up a mental filter, judging, changing and re-evaluating each and every word he says. There is just so much wisdom behind those eyes which, sadly, never leaves his mouth.

@MrZhilvinas 7 жыл бұрын

Any chance we could get an extended interview with Cédric Villani?

@goatmeal5241 7 жыл бұрын

I loved this, especially because I've been trying to force myself to read Hardy's "A Mathematician's Apology" and keep stalling out. To me he just seems incredibly entitled to insist that 'pure' math--with no thought to usefulness--is superior to math motivated by real-world problems, which he deems beneath him. To hear that conceit called out as 'a little bit of poison' by a Fields Medalist is extremely refreshing.

@BeautifulFreakful 7 жыл бұрын

I would absolutely LOVE to see an interview of Alain Connes on this channel.

@ashutoshkumarjha41 3 жыл бұрын

Genius, he knows what mathematics is and what is the meaning of being a mathematician. Love to listen each of your's interview on any of the topic you choose.A learner, scholar, erudite, pundit.

@Jacquobite 7 жыл бұрын

If beauty in mathematics inspires the youth to take it up, then there is real utility in its beauty.

@jlunde35 7 жыл бұрын

This guy is impressive. A lot is going on between his ears.

@Tetraglot 5 жыл бұрын

"You sound almost half-politician!" Perhaps foreshadowing Villani's election to the National Assembly? :P

@blacksciencechocolate8984 5 жыл бұрын

Spoiler ! 😂

@lesubtil7653 4 жыл бұрын

@Clad Strife haha un gauchiste ici 😄 ils sont partout!! (Dans les villes, dans les campagnes)

@Hepad_ 4 жыл бұрын

@Clad Strife arrêtez de vous complaire dans l'axe gauche-droite. Autrefois, il servait à situer se opinions politiques. Maintenant, ça ne sert qu'à se faire traiter de gaucho, ou de facho. Et qui en profite ? Ceux qui utilisent le ras-le-bol de ce manichéisme, comme LREM.

@Hepad_ 4 жыл бұрын

@Clad Strife parce que je ne sais pas comment on mentionne deux personnes dans un commentaire.

@lesubtil7653 4 жыл бұрын

@Clad Strife bonjour. Je prends connaissance de vos réponses à l'instant. Ma participation était uniquement à but humoristique, comme le montre l'emoticone et le référence à la célèbre tirade de Marine le Pen; je n'avais aucunement l'intention de dénigrer l'opinion politique de Clad strife. Si mon commentaire a été mal compris, je me suis sûrement mal exprimé et j'aurais dû expliciter davantage l'aspect ironique de celui-ci, d'autant plus que les cons de droite sont nombreux sur internet (tout comme les cons de gauche), ce qui rend la distinction entre un commentaire sérieux et un commentaire ironique peu évidente.

@polymath287 7 жыл бұрын

his reaction when he figured out his theorem 3:03

@sinansenocak 7 жыл бұрын

I was just discussing why math matters with my sister half an hour ago. She basically said it's something that people made up and therefore it doesnt effect herself, that she could view the world differently than how people do in math. Jeez I get worked up even thinking about it

@Rotaermel 7 жыл бұрын

As someone who deals alot with philosophiy of mathematics, I know the claim that mathematics is a kind of invention. What is certainly true is that our numbers and signs are mere conventions. And it would be for sure possible to "invent" other forms of calculus. But they would be of no use. Our mathematic is useful, because it depicts the inherent logic of our nature and thus, it refers to something, which is not invented. Mathematic is mirrored in nature. Just take the golden ratio, for example.

@wierdalien1 7 жыл бұрын

Sinan Şenocak impressive blinkers. though i can understand

@JaapVersteegh 7 жыл бұрын

Sure, but even if it does have a real bearing on the world, it's still perfectly valid for someone to considering it unnecessary and/or uninteresting for living their life.

@Myrslokstok 7 жыл бұрын

It is not made up it is how mathematican thinks.

@mikejones-vd3fg 7 жыл бұрын

the idea of negative numbers exists because we let it, not because it exists in nature, its an idea we made up, the idea of a deficit etc. So theres an example that math is made up based on its maker upers (the creatures who made it up) I say creatures because it could be any life form that invents a tool, a tool to describe nature as it is? or as how they want it to be? a little of both

@allegroLT 7 жыл бұрын

Unbelievably enjoyable to listen to Mr. Villani. maybe more of him?

@Wargon2013 7 жыл бұрын

The thumbnail shows the Mandelbrot Set, unfortunately it doesn't make an appearance in the video.

@numberphile 7 жыл бұрын

+Wargon it is representing the "beauty of math" while the cash on the right is representing "the utility".

@Wargon2013 7 жыл бұрын

I was just hoping that its another video about fractals. Fractal geometry shows the beauty of mathematics but is also useful so I thought the picture would be related to the video more directly.

@Cadrid 7 жыл бұрын

I thought Brady represented the beauty of math.

@jellorelic 7 жыл бұрын

Villani is such a weird, quirky person.. it's beautiful! Thank you Brady, again, for this and all the other work.

@joshuarosen6242 7 жыл бұрын

He makes a very interesting point about inhabiting a mental world that is completely out of reach for the vast majority of people. I studied maths as part of a physics degree at university having done two maths A levels before that and still all of Villani's work is out of my reach. To most people it is utterly incomprehensible in every respect. I know some very talented musicians. They are a bit like that as well. At least the end result of a musician's work is easier for most of us to appreciate.

@hminhph 7 жыл бұрын

mister villani totally brings it on point. i admire him for his clear mind and trait to express himself so reasonable

@bengineer8 7 жыл бұрын

[correct me if I am wrong]: When chemists need more funding: "We are low on [insert highly expensive chemical here]." When mathematicians need more funding: "We need more pencils."

@simoko7076 7 жыл бұрын

Bengineer8 One does not simply have an idea for a meme.

@pierrelacombe4757 7 жыл бұрын

+gates : Pencil is a very useful tool for the mathematician, and I think for many years more and more...

@jathu1231 7 жыл бұрын

papers*

@DrGerbils 7 жыл бұрын

When mathematicians need more funding: "We need more coffee." Fixed it for you.

@bengineer8 7 жыл бұрын

Steve's Mathy Stuff lol

@ChilledfishStick 7 жыл бұрын

All of the people that you interview here are very fascinating, and it is a very big pleasure to hear them, and to learn from them. So, good job!

@daviddante1989 7 жыл бұрын

The next time you meet him, make him say: "Finally, we meet at last, Mr. Sherlock Holmes"

@richardfrenette6648 4 жыл бұрын

Just discovered Cedric thanks to this video. Very interesting person, both technically and humanly, with a great vision. I requires a very special way of thinking to be able to talk about something complicated in an understandable manner for non specialists, for simplification requires the understanding of what really matters, why it does, and how it relates to common experience. Will search for more material about him.

@Yuuzhan 7 жыл бұрын

It is really rare nowadays to find a video of [9-10[ minutes. Thank you for not adding unecessary content to the video for the only purpose to reach 10mins

@PickyMcCritical 6 жыл бұрын

I didn't know what to expect, but this whole video was surprisingly very interesting.

@Nickkon1 7 жыл бұрын

It would be cool to have more videos where you ask mathematics why they started with their topic, where they find the beauty and why they enjoy doing it. It is very inspiring!

@polkad3v 7 жыл бұрын

Such honesty, I really like this.

@hmv678 7 жыл бұрын

He is a person from another planet. Enjoyed listening to him.

@rampage14x13 7 жыл бұрын

This guy is awesome

@KnowArt 7 жыл бұрын

he has everything to be a bond-villan

@DavidDavid-sd2gd 7 жыл бұрын

More of this guy!

@xMDawg19x 7 жыл бұрын

Hey Numberphile, you should chat with John Urschel about his work sometime if you have a chance. He plays in the NFL and is currently doing his Ph.D. in theoretical mathematics at MIT.

@srensrensen6269 7 жыл бұрын

Clearly a man that have contributed greatly to his field and humanity. But what is with the spider and the big butterfly thingy?

@numberphile 7 жыл бұрын

+Søren Sørensen see the other video we uploaded today?

@sloaiza81 7 жыл бұрын

Note sure about the spider, but the fields metal was the thing that got my attention.

@coecovideo 7 жыл бұрын

ha ha ..... you don't know him ..

@Julio974 6 жыл бұрын

He is also contributing to his country (he is a french deputy)

@jmcusack 4 жыл бұрын

@Jeff121456 7 жыл бұрын

I love that he felt it necessary to qualify "soon" with a time frame. A very math mind thing.

@briandeschene8424 7 жыл бұрын

Jeffery Rowan An example of what he was talking about. Working with those who provide funding, require a project plan, milestones, etc. he's learned he cannot simply leave something described as "soon". It needs to be stated as an actual figure (even if it is an estimate). Maybe?

@Hamboarding 7 жыл бұрын

Really great talk! I'm a student of philosophy myself, obviously not even close to being anything near as knowledgable about philosophy as he is about mathematics. I am slowly reaching the same conclusion. Philosophy too has to be both.

@baroudk6818 7 жыл бұрын

What a prestigious guest you have today! A great mathematician

@ukkomies100 7 жыл бұрын

This guy looks awesome. There is something mezmerising in the courage to dress like that nowadays.

@3arendel 7 жыл бұрын

We need more of Cedric!

@mikeheyburn9716 10 ай бұрын

Thanks or your time here CV. Been great as a maths teacher watching all you said in these vids.

@Velppp 7 жыл бұрын

j'aime beaucoup Cédric Villani =)

@markbell9742 7 жыл бұрын

Thanks Brady another nice interview. In addition to the nuts-and-bolts of his mathematics I find Dr. Villani's thoughts on the more Human side (if that's the right term) of his science most interesting. Cheers, Mark ***********************************

@althomas2772 7 жыл бұрын

I think that he should have a one-hour special where he discusses his life, education, philosophy etc. I really like the way he thinks and expresses himself.

@gralteindauphinois7793 7 жыл бұрын

Congratulations, almost 2mil !! much love from honduras

@jlsmatejuanluisramirez 5 жыл бұрын

I love Cedric Villani's explanations

@vimalk78 7 жыл бұрын

listening to this man is a spiritual experience

@frazerwagg7192 7 жыл бұрын

really enjoyed this video! shows how the utility of maths can be part of it beauty

@digitalgamer3722 7 жыл бұрын

personally speaking I see that the utility of maths is the only beauty of it.

@jesusnthedaisychain 7 жыл бұрын

A Frenchman pondering the concepts of Form vs Function? It's like my days of majoring in architecture coming back all over again.

@ArtisanCadet 7 жыл бұрын

LOVE WHEN CEDRIC IS ON NUMBERPHILE

@shugaroony 4 жыл бұрын

Could listen to this man all day.

@Hecatonicosachoron 7 жыл бұрын

6:46 Exactly! You can definitely say that again!

@AdityaKumar-ij5ok 6 жыл бұрын

Hecatonicosachoron yeah

@williammangin3635 6 жыл бұрын

I love this way to interview et ce Villani est très spontané

@Greg41982 7 жыл бұрын

My IQ just went up 10 points by watching this video.

@Triantalex 9 ай бұрын

false.

@tylermills7289 7 жыл бұрын

This is wonderful! Thank you

@kegelboy 7 жыл бұрын

An intellectual giant and a gentleman. Love this.

@MohammedAli-dm8le 4 жыл бұрын

I really needed to hear Professor Villani critique Hardy's purism.

@haarissiddique9246 7 жыл бұрын

Cédric Villani, Cliff Stoll, James Grime, Tadashi, Brian Hady and all the other Numberphile team make this channel ever so interesting!!

@PeterPrevos 7 жыл бұрын

In his books on architecture, Roman architect Vitruvius emphasised the importance of a balance between beauty, utility and soundness. The same can be applied to mathematics.

@tollboothjason 7 жыл бұрын

The need to translate our work into laypersons' terms is SO important. Many are genuinely curious about what we do, but we have to be able to put it into laypersons' terms in order to get the message across.

@Uncerten 7 жыл бұрын

Brady asking the tough questions. Another great video.

@mrtamborineman10 7 жыл бұрын

woah, would love to hear more about this mathematics museum, and maybe attend one day

@fruitduck604 6 жыл бұрын

i'd love to see him having a conversation with cliff stoll. it would be such a entertaining contrast lol

@ClevorBelmont 4 жыл бұрын

Just casually does a 9*9 magic square like it’s nothing. My favorite of the modern mathematicians by far.

@NameRedacted0 7 жыл бұрын

Always kind of fun to look up the people in the videos, and see how much they've done in the world

@InviDoll 6 жыл бұрын

Would love to see this guy on Objectivity - he seems to have such a deep appreciation of things!

@numberphile 6 жыл бұрын

Me too

@abhinavmishra2769 4 жыл бұрын

Such a humble man.....

@ozen4176 7 жыл бұрын

I´ve always been shit in maths. I´ve failed maths at school couple times but i cant stop loving them. Numberphile u have helped a lot in loving maths. Thank you from spain :)

@kamilziemian995 3 жыл бұрын

Cedric Villani is such amazing mathematicians. I wish that I could attend one of his lectures.

@SciJoy 7 жыл бұрын

It made me think of Feynman and how he had to find the joy of physics again and do it just for fun and then found the utility of it. I like and understand math most when I find its utility in physics.

@MrStevenToast 7 жыл бұрын

what a character....

@TechEat 7 жыл бұрын

Great discussion ! Really like this mathematician :)

@VSilver2 7 жыл бұрын

Very good video thanks brady

@numberphile 7 жыл бұрын

+VSilver2 you're welcome

@Falcrist 7 жыл бұрын

For me, the most beautiful parts of mathematics are the ones that hold the most significance, the most information. There is a deep, moving beauty in equations that take a vast and complicated topic, and distill it into something that you can explain to a child. Sometimes these equations are pure mathematics, like Euler's identity... but sometimes these equations can be from physics or engineering, like Maxwell's equations or Newton's law of gravitation. They are beautiful in their simplicity, yet hold up entire fields of knowledge.