Mathematics: Beauty vs Utility - Numberphile

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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
Patreon: / numberphile
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18 янв 2017

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Комментарии : 539

@euskalX 7 лет назад

In Cedric Villani's office, entropy clearly increases

@numberphile 7 лет назад

@camembertdalembert6323 6 лет назад

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

@NaviSly 6 лет назад

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

@mimerafm3794 2 года назад

Is the joke that his office is a closed system?

@w花b 2 года назад

@@mimerafm3794 Numberphile clearly managed to enter

@flojito3428 7 лет назад

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 лет назад

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 лет назад

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 лет назад

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 лет назад

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 лет назад

How did it go? :)

@imeredithc 7 лет назад

His handwriting when he wrote the Boltzmann equation was so beautiful

@crabe804 7 лет назад

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

@notpresobama1553 3 года назад

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

@AshishXiangyiKumar 7 лет назад

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 лет назад

they r just jelly bruh

@AliceDiableaux 7 лет назад

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 лет назад

Good to see piano and maths linked ^^

@Ashanzer 6 лет назад

Spot on.

@arpitdas4263 4 года назад

Haters gonna hate

@stumbling 7 лет назад

Everything French people say in English sounds philosophical.

@pierrethiriet7003 7 лет назад

"Je vais descendre les poubelles" :)

@zeubi4572 7 лет назад

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

@remifiori9415 7 лет назад

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

@M_Julian_TSP 7 лет назад

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

@remifiori9415 7 лет назад

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

@hey8174 7 лет назад

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 лет назад

Tuc Cop out, but I do agree.

@AlbertSirup 7 лет назад

useful for whom?

@Cyriacdt 7 лет назад

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 лет назад

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 лет назад

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 лет назад

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

@le-math9247 6 лет назад

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

@ronmedina429 5 лет назад

don vito?

@Triantalex 9 месяцев назад

??.

@kguy152000 7 лет назад

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

@Sensanty 7 лет назад

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

@jacl9976 7 лет назад

kguy152000 *whispers* y = mx+b

@victorwhite8356 7 лет назад

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

@fofolp1213 7 лет назад

*whispers* 0^0=2

@davecrupel2817 7 лет назад

😂

@andretsang7337 7 лет назад

He speaks with more eloquence than most native English speakers.

@Yourmom-dd3fh 7 лет назад

he speaks with more eloquence than most native French speakers too

@Triantalex 9 месяцев назад

??.

@Ndo01 7 лет назад

This guy is renaissance incarnate.

@plackiplicki3531 5 лет назад

‘ reincarnate

@skaruts 5 лет назад

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

@Triantalex 9 месяцев назад

false.

@sk8rdman 7 лет назад

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 года назад

Damn. Wow, so true 👌

@aidanhall6679 3 года назад

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.

@MrPictor 7 лет назад

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

@Triantalex 9 месяцев назад

false.

@lowsiento 3 месяца назад

@@Triantalex care to elaborate?

@ElloetteLightbringer 7 лет назад

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

@allkinds1069 7 лет назад

ElloetteLightbringer has a very calm voice

@thstroyur 7 лет назад

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

@Thewardra 6 лет назад

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

@Triantalex 9 месяцев назад

false.

@parkerd2154 7 лет назад

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 !

@alexandrugheorghe5610 7 лет назад

I see Cedric, I instant watch.

@NoriMori1992 7 лет назад

[opens RU-vid] [sees two Cédric Villani videos uploaded today] [dies]

@NotMeInc 7 лет назад

NoriMori [rip]

@numberphile 7 лет назад

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

@user-rv6py8cd6p 7 лет назад

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

@martindouge4504 7 лет назад

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

@numberphile 7 лет назад

+Lord Hades I think the French accent is brilliant.

@martindouge4504 7 лет назад

Glad to see someone appreciates it !

@olivierb.2149 7 лет назад

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

@heribertocastro6652 7 лет назад

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

@dk6024 7 лет назад

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

@Ben-qe8ju 7 лет назад

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.

@michapatek3773 7 лет назад

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

@sunrisesofi450 7 лет назад

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.

@Tetraglot 5 лет назад

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

@blacksciencechocolate8984 5 лет назад

Spoiler ! 😂

@lesubtil7653 4 года назад

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

@Hepad_ 4 года назад

@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 года назад

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

@lesubtil7653 4 года назад

@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.

@QuantumPolagnus 7 лет назад

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.

@NuclearStr1der 7 лет назад

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

@TheAIEpiphany 2 года назад

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

@sinansenocak 7 лет назад

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 лет назад

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 лет назад

Sinan Şenocak impressive blinkers. though i can understand

@JaapVersteegh 7 лет назад

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 лет назад

It is not made up it is how mathematican thinks.

@mikejones-vd3fg 7 лет назад

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

@Jacquobite 7 лет назад

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

@rampage14x13 7 лет назад

This guy is awesome

@ashutoshkumarjha41 3 года назад

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.

@BeautifulFreakful 7 лет назад

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

@wuzhenick 4 года назад

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

@KnowArt 7 лет назад

he has everything to be a bond-villan

@allegroLT 7 лет назад

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

@DavidDavid-sd2gd 7 лет назад

More of this guy!

@jellorelic 7 лет назад

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

@bengineer8 7 лет назад

[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 лет назад

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

@pierrelacombe4757 7 лет назад

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

@jathu1231 7 лет назад

papers*

@DrGerbils 7 лет назад

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

@bengineer8 7 лет назад

Steve's Mathy Stuff lol

@MrZhilvinas 7 лет назад

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 лет назад

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

@hminhph 7 лет назад

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

@goatmeal5241 7 лет назад

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.

@polkad3v 7 лет назад

Such honesty, I really like this.

@Wargon2013 7 лет назад

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

@numberphile 7 лет назад

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

@Wargon2013 7 лет назад

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 лет назад

I thought Brady represented the beauty of math.

@polymath287 7 лет назад

his reaction when he figured out his theorem 3:03

@hmv678 7 лет назад

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

@daviddante1989 7 лет назад

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

@PickyMcCritical 6 лет назад

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

@ChilledfishStick 7 лет назад

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!

@jlunde35 7 лет назад

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

@richardfrenette6648 4 года назад

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.

@Nickkon1 7 лет назад

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!

@joshuarosen6242 7 лет назад

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.

@baroudk6818 7 лет назад

What a prestigious guest you have today! A great mathematician

@3arendel 7 лет назад

We need more of Cedric!

@Velppp 7 лет назад

j'aime beaucoup Cédric Villani =)

@tttiiittt444 7 лет назад

LOVE WHEN CEDRIC IS ON NUMBERPHILE

@jlsmatejuanluisramirez 5 лет назад

I love Cedric Villani's explanations

@Yuuzhan 7 лет назад

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

@gralteindauphinois7793 7 лет назад

Congratulations, almost 2mil !! much love from honduras

@shugaroony 4 года назад

Could listen to this man all day.

@mikeheyburn9716 10 месяцев назад

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

@williammangin3635 6 лет назад

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

@Hecatonicosachoron 7 лет назад

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

@AdityaKumar-ij5ok 6 лет назад

Hecatonicosachoron yeah

@kegelboy 7 лет назад

An intellectual giant and a gentleman. Love this.

@tylermills7289 7 лет назад

This is wonderful! Thank you

@frazerwagg7192 7 лет назад

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

@digitalgamer3722 7 лет назад

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

@markbell9742 7 лет назад

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 ***********************************

@Uncerten 7 лет назад

Brady asking the tough questions. Another great video.

@abhinavmishra2769 4 года назад

Such a humble man.....

@EdgarMartinez-ws9ws 2 года назад

Awesome mind and spirit!

@Hamboarding 7 лет назад

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.

@althomas2772 7 лет назад

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.

@ukkomies100 7 лет назад

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

@TechEat 7 лет назад

Great discussion ! Really like this mathematician :)

@VSilver2 7 лет назад

Very good video thanks brady

@numberphile 7 лет назад

+VSilver2 you're welcome

@xMDawg19x 7 лет назад

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.

@haarissiddique9246 7 лет назад

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

@vimalk78 7 лет назад

listening to this man is a spiritual experience

@kamilziemian995 3 года назад

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

@Jeff121456 7 лет назад

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

@briandeschene8424 7 лет назад

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?

@sagardam2989 3 года назад

I got a chance to meet prof Villani once in my University when he came to India. He is like a mad mathematician.

@MohammedAli-dm8le 4 года назад

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

@Shockszzbyyous 7 лет назад

this man is awesome, i had seen some talks by him

@NameRedacted0 7 лет назад

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

@fruitduck604 6 лет назад

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

@InviDoll 6 лет назад

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

@numberphile 6 лет назад

Me too

@tollboothjason 7 лет назад

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.

@srensrensen6269 7 лет назад

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 лет назад

+Søren Sørensen see the other video we uploaded today?

@sloaiza81 7 лет назад

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

@coecovideo 7 лет назад

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

@Julio974 6 лет назад

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

@jmcusack 4 года назад

@mrtamborineman10 7 лет назад

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

@hellothere11 7 лет назад

Such wise and nuanced explanations! It's interesting to hear his opinions on the more political side of the industry.

@PeterPrevos 7 лет назад

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.

@eac-ox2ly 7 лет назад

This guy is fascinating.

@SciJoy 7 лет назад

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.

@TheBoss1001010011001 7 лет назад

THIS GUY IS AWESOME

@TitanOfClash 7 лет назад

Finally on time.

@MohammedElMahdadi314 6 дней назад

One of the best scientist of France!

@Kommandant7 7 лет назад

Museum of mathematics?! I wanna see that

@adamaa39 7 лет назад

this clip was dope! also: Museum of Mathematics is one I would visit right away.

@ozen4176 7 лет назад

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 :)