A great mathematician can be gauged by his inability to make eye contact. This guy is a boss.

@swollpenispok8172

2 жыл бұрын

Is more better or less?

@jocabulous

2 жыл бұрын

follow up question, how can you tell how much/little eye contact he makes from this video?

@happy1288

2 жыл бұрын

Wth lol

@andrewolivetreemixing

2 жыл бұрын

Lol

@I_discovered_civilization

2 жыл бұрын

Many geniuses are on the spectrum.. hence the lack of direct eye contact.

"I don't even know everything going on" - fear strikes the crowd

@mattmahoney890

2 жыл бұрын

Feeeeaaaarrrrr

Could listen to him explain math all day.

@user-ju7gw1xf5s

7 жыл бұрын

gris186

@bustownbc2787

3 жыл бұрын

Shits boring and common sense

@MixMastaCopyCat

2 жыл бұрын

@@bustownbc2787 This is a terrible attitude for exploring math

@YashSingh-mr9dz

2 жыл бұрын

@@MixMastaCopyCat After some Math they're gonna say Shits boring and explodes head

@jellyslapper2872

2 жыл бұрын

Yup I could listen all day and still not understand math haha.

Tao is a very good communicator. Modest, fluent, responsive, considered, honest, and humorous. Very good person, a great scholar and a gentleman to the core...

@hamburgeryumyum7491

2 жыл бұрын

When this guy was 7 years old he could do math stuff at the level of a 24 year old

"It takes a while to get used to this type of argument." -- says the guy who understood it at the age of 4.

3:55 I didn't know that Euclid was attending Terence's lecture.

@Light-vu6ws

2 жыл бұрын

@Anderson Jeffrey I was joking

@ruslannuriyev

2 жыл бұрын

@Anderson Jeffrey The guy on the right looks like Euclid. That's what he meant.

@procheck9220

2 жыл бұрын

@Anderson Jeffrey Bruh.. is this your first day on the internet? the guy means there is a person in the audience that looks like Euclid...

@amir3515

2 жыл бұрын

@Anderson Jeffrey r/whoooosh

@khoavo5758

2 жыл бұрын

@Anderson JeffreyPretty sure everyone got the joke (beside you ofc)

Terence Tao is a top mathematician; the mathematics of 21st century will be remembered with his name. I've read his PhD thesis. Normally, a PhD thesis must be about 170 pages but his was roughly 40 pages and accepted. He's a genius harmonic analyst, which let him prove, along with Ben Green, that any residue class of any modulus has infinitely many primes. Also, he's a chief editor of one of the journals of the AMS. Oh, by the way, his annual worth is 463 000 $.

@pranitgandhi6832

2 жыл бұрын

If this is true, that's crazy!

@zerosugarmatcha7348

2 жыл бұрын

@Anderson Jeffrey He's not paid for writing on blackboard dude, he's paid for advancing the knowledge for humanity. He's well underpaid comparing the celebrities, athletes and politicians.

@allall8695

2 жыл бұрын

@Anderson Jeffrey That club of high rollers have gatekeeping mechanisms (*cough* income taxes *cough) that prevent individuals even with the fattest paychecks from getting in or sustaining their position there. It's a different pecking order entirely.

@luigy0648

2 жыл бұрын

@Anderson Jeffrey as @Zero says, this guy is quite underpaid compared to his advances and all he is given to human knowledge. Is not just writing on a blackboard. You could say stupid things like that about sports for example.

@luigy0648

2 жыл бұрын

@Anderson Jeffrey totally agree that there are people out there doing great stuff, for example, a lot of scientists with pretty mediocre salaries due to bad politics. Tao's work is great and I think he deserves that, as I also think there are a lot of people just getting to much

"prove something is true by proving that it is not false" So obvious, yet so useful

its an honor to even be learning from him on youtube

@Longshlong99

2 жыл бұрын

I am wondering, 11 years later, if you would reply to this comment, how crazy would that be

@raph8057

5 ай бұрын

it'd be even crazier if you replied to this one

@Sutapa-qj1ir

19 күн бұрын

More crazier if you reply to this one

This is the only video of him where I understood his lecture just because he talked about basic of real numbers also in a beautiful way

I have no idea how I got here, but this is my third video in a row of him I've watched; and I'm beyond intrigued! What a beautiful mind.

This feels like a primer to primes for elementary schoolers not college students and professors.

Yeah, Could listen him all day! His comprehensive expression of mathematics is very beautiful plus useful.

I have no idea what he is talking about, but I continue to watch anyway.

Mr tao is my inspiration and indeed my fav mathematician,I listen to him very much

This man is from another planet. Plain and simple.

Surprisingly insightful. I could follow him quite easily and I'm not a mathematician.

@stickyrice2141

2 жыл бұрын

So, you're a good listener... LOL

@PoliticallyCorrect

2 жыл бұрын

@@stickyrice2141 shh

I don't mind him being my maths teacher.. he's just so passionate

@shucklesors

2 жыл бұрын

oh you 'don't mind' him... wow what an honour it would be for him to not be minded by you to teach

@petehenry7878

2 жыл бұрын

@@shucklesors Why must you be an ass? Obviously Adrianus meant, I "WOULDN'T" mind him being my math teacher.

@michelberden3717

2 жыл бұрын

@@shucklesors lol

@eurko111

2 жыл бұрын

@@petehenry7878 you do realize how entitled it sounds?, to be the one to "not mind" have a renowned mathematician as your tutor?

@petehenry7878

2 жыл бұрын

@@eurko111 BTW sweetheart, Tao is a professor, a professor is a teacher. Either way he teaches more than one student at a time. Where as a tutor is a private teacher, so if anyone is making any kind of entitled comment, it's you.

It's fascinating to hear that Euclid was "rejecting the null hypothesis" so long ago. This is a fundamental tool in science even today.

@JM-us3fr

2 жыл бұрын

I wouldn't exactly think of it this way. Rejecting the null hypothesis just tells us the null hypothesis doesn't fit the data as well as the alternative hypothesis (with high confidence), whereas a contradiction proof says we can't even assume the contrary without arriving at a paradox. One is incompatible with the data we happened to sample, while the other is incompatible with logic itself.

@niemand262

2 жыл бұрын

@@JM-us3fr It's fundamentally the same process. We bisect a distribution of possibilities, we demonstrate that one of the possibilities can't be true, so the other must be true.

@nomarxistspls90

11 ай бұрын

@@niemand262 you are clearly not a pure math major. That’s ok. But they are NOT “fundamentally the same concept”…🤦🏻‍♂️

3:04 the most excellent reasoning.

Learned about this guy doing research for my math history project (I’m a math major) literally yesterday. This guy is awesome

@Nikkikkikkiz

Жыл бұрын

KZread or Google collected your data

Euclid was a real genius.

@MsRyanstone

6 жыл бұрын

Yes he really was a towering genius

5:04 when you thought Terence will talk about something too complex and advanced(y I hesitated playing this vid) yet end up listening about basic number theory.

I'm actually currently learning this in class. I love it !!

Had to read that over a couple of times

Awesome set induction of how an element or compound is composed of atoms by using concept of prime or fundamental theorem of arithmetic.

1059 vieuws ? this guy is a legend ! guys spread this and have it as favorite ! so we promote it ! and give it a 5 star

One of my academic heros

@learnershome1251

9 ай бұрын

Me too. I love Prof. Tao

Wonderful!

I love this man

he speaks so fast like his brain also thinks like that fast.. Cool!

@keshavl1089

5 жыл бұрын

I have seen so many dumbs speaking very fast

@bipensubba4709

4 жыл бұрын

Fool... You clearly are a hypocrite just of what you said. I suggest that you exercise your flawed logic.

@felipebrunetta2106

4 жыл бұрын

Considering tao has one of the highest IQs in human history he should have a hard time putting all of that in words

@robertveith6383

2 жыл бұрын

He speaks too fast.

Terence Tao is the greatest living Mathematician.

@jenniferlawrence944

2 жыл бұрын

ever heard of gregory perelman?

@TravelWorld1

2 жыл бұрын

@@jenniferlawrence944 no

@jacoboribilik3253

2 жыл бұрын

@@TravelWorld1 how can you not know who grigory perelmen is. He proved Poincare conjecture. And don't swallow everything Numberphile says.

@tuberaxx

2 жыл бұрын

Perelman is great, but I think Terence Tao is more versatile like Gauss and more collaborative like Erdös.

@nomarxistspls90

11 ай бұрын

@@jenniferlawrence944 yeah the guy who turned down 1million and lives in his mums basement?

He's like roger federer of math

@Savage-ws7sy

8 жыл бұрын

lol

@bedroom7653

7 жыл бұрын

ndk4 they both computers

@jmiquelmb

7 жыл бұрын

You mean Federer is the Terence Tao of tennis

@rodrigodasilva9176

7 жыл бұрын

Actually the current Nobel Prize mathematician is Arthur Ávila.

@procrastinateurreformateur5968

6 жыл бұрын

more Nadal :-)

How about optimus prime that came to invade our world

@xXxBladeStormxXx

5 жыл бұрын

Optimus Prime didn't come to invade our world moron, he was trying to save it.

@xeno4162

4 жыл бұрын

yo surely are a moron

I'm glad youtube offers the option to slow down 0.75x

@userma_r.cr123

6 жыл бұрын

Adelar Scheidt loool

@umarjanbhat3819

6 жыл бұрын

😂

@intelligence6743

3 жыл бұрын

😂😂😂😂

@gerjaison

2 жыл бұрын

He does sound so much better, and understandable. You're a "practical" genius

He is Bruce Lee of math

@maxwellsequation4887

3 жыл бұрын

He is too great to be compared to some dancing boi

@nodeathingames2701

3 жыл бұрын

tao of math.

@AstroSully

2 жыл бұрын

@@maxwellsequation4887 😴

Terence Tao is one of the most smartest people in the world and yet still gets nervous talking to the audience.

What a cool guy!

From the description: "To view the full talk visit [broken link]" Any chance this will be fixed?

"This is abc fora" hits me like a sleep twitch.

@areyouarobotz

2 жыл бұрын

I did lol irl

@ComputerCurry

2 жыл бұрын

Lol

Whoa, I get Euclid's proof now! That remainder of 1 is the key!

Full talk somewhere? Link in description doesn't work.

thankssss you

I read Simon Singh's "The Simpsons and Their Mathematical Secrets" which mentioned this exact proof, but I find it odd that he didn't mention one thing. There are two parts of Euclid's discovery. The first is what Tao mentioned which is that if you multiplied all the primes and add 1 it could result in another prime that wasn't part of the original set. You know it wasn't part of the original set because it is much bigger than all of the numbers in the set (for example 31 is much larger than 2, 3, and 5 since you're multiplying them to produce a new number). LONG STORY SHORT: Tao mentioned the first part of the theorem. What he missed was also amazing. Euclid said that if the number produced by multiplying all the numbers in the set and add one to produce a COMPOSITE number (i.e. not a prime number), then you can come up with even more primes. Let's say you have the set 2, 3, 5, 7, 11, and 13. If you multiply them and add 1, you get 30031. That is a composite number meaning it has factors besides 1 and itself. It turns out its other factors are 59 and 509, which are 2 new primes that were not included in the set. Why does this always produce new prime numbers? If you try to divide 30031 by any of the numbers in our set 2, 3, 5, 7, 11 and 13, then the remainder will always be 1 (which makes sense). Therefore, if a composite number is formed by multiplying all the primes and adding 1, it will always produce at least 2 new primes. I see that a lot of the comments are either saying that Tao's fast talking/stuttering is due to his fast mind or that they didn't understand anything, so I don't think this comment really belongs here. Respect the man's content.

@98danielray

2 жыл бұрын

that is an addendum if anything, since the "first part" already proves the theorem by LEM.

@98danielray

2 жыл бұрын

oh I see what you mean, you werent talking about expliciting them. the thing is this proof is generally given in such a way that the second step is considered obvious when I agree it should not be.

GREATEST OF MATH TAO

Great man he can solve each and every sum and problems just because of his mind and memory.

@hellopleychess3190

9 ай бұрын

the "memory" is not a thing, it is a matter of how you are

He’s simply the best mathematician

@user-vr9uo3vb1w

Жыл бұрын

Perelman

prime numbers pure elements

Che ammirazione!! Super!

I wonder if Terence is able to calculate as fast if not faster than Ramanujam.. coz both of them are masters in number theory

Uploaded on my birthday

This guy and Dr James Maynard intonate the same when they say the word "Prime" .

The moment I noticed his habit of constantly touching his chin unconsciously I knew this man is a Genius.

You can find interesting facts and puzzles about Prime Numbers and Magic Squares, Smith Numbers, and Arithmetic and Palindromic Primes on Glenn Westmore's blog.

if Terence Tao is a rapper, Eminem would be the pizza delivery dude while Nicki Minaj would be working in McDonald's

@robinwu7333

6 жыл бұрын

He speaks too damn cast.

Anyone know the right link to the full talk please????

Where can i find this complete video

Interesting guy

5:20 what an interesting way of coming to a conclusion. I find that so creative!

@kamon9339

7 жыл бұрын

Will Crawford thats basically how most math problems get solved: by stating the opposite and proving that this isnt possible after

@soondooboo1

7 жыл бұрын

True, but there are many forms of proofs. There are direct proofs and induction is effective when dealing with sums.

@nuc1eu52

5 жыл бұрын

Millennium problems such as reimann hypothesis which is claimed to be proven uses proof by contradiction

@nuc1eu52

5 жыл бұрын

There are lots of other theorms which are proved this way, cause in mathematics you have infinitely large number to prove such thing lots of mathematics use this

@guilhermefurquim8179

2 жыл бұрын

@@nuc1eu52 Riemann Hypotheshis wasn't proved lol

I saw 2 things in Paris. ET and Rodin Museum. This was very interesting.

Sir factors of 1 are( cost + i sint ) and ( cos t-- i sint ) . Where i^2 = --1

I didn't understand the proof of the theorem that there are infinite numbers of primes, because you took as an example {2, 3, 5} set and then said that 2*3*5 + 1 = 31 is prime => the initial assumption that there are finite number of primes is wrong. But we took here {2, 3, 5} as an example and that 31 is prime and which contradicts our assumption just means that {2, 3, 5} is NOT the finite set (if it exists). So, maybe {2, 3, 5, p1...pk} is that set.

Im sure he said em.. a prime number of times

But (2 x 3 x 5 x 7 x 11 x 13 x 17) + 1 is not prime because You can divide it by 19

The argument is very subtle. If you take all the primes until some number N, the construct P again as the product of all those +1, then this number is *not* always a prime. (I believed that for too long)

@WilcoBrouwer

2 жыл бұрын

of course the number of primes until N has to be an uneven number, since each prime is uneven, and even numbers cannot be prime (beside 2)

Terence Tao defenitely needs a beard

@piousseph6219

2 жыл бұрын

Bro looks like he gonna live till 120

he is agenius with iq 230 it is totally normal for him to speak like that

I am a student Please anybody suggest me some genural Where I can get maths research paper on number theory

I'm clearly missing and important piece of information. It seems like we can generate new largest primes by just multiplying all of the prime numbers up to the largest then adding one. Or is that outside of current computational abilities?

@Empyreangg

7 жыл бұрын

If we had a list of all the prime numbers up to a certain point, then yes we could do that. The issue is that you can't be missing any primes up to the largest one you know about. Suppose you knew 2 and 7 are prime, but didn't know that 3 or 5 are prime. Then multiplying all the primes you know about (2 and 7), then adding one you would get 2*7+1=14+1=15, but 15 is not prime. The largest prime number known currently is 2^74207281 − 1, which is 22,338,618 digits long. We could find a larger prime if we knew all of the primes smaller than this one, but it would take more effort to find all the missing primes than trying to compute a bigger one by other methods.

@thiantromp6607

4 жыл бұрын

Martin Derige the number that you get from multiplying all the primes is not guaranteed to be a prime number, just to have a previously unknown prime factor.

@divisionzero715

2 жыл бұрын

There are a coupe of problems. One is, that primes tend to be more or less randomly distributed. Using this method on its own may leave gaps. The second is, as you mentioned, computation. Integer multiplication is a very fast operation, however, any machine would choke up for months trying to multiply 10^25 numbers for example. It's a good way to start, but it's not feasible in the long term.

@powerdriller4124

2 жыл бұрын

@@thiantromp6607 :: Right. It means that none of the known primes is a factor of that product-plus-one number, so it is either a prime, or has a prime factor larger than the largest known prime (and of course, smaller than that product-plus-one number.)

He wouldn't mind saving me from IP class and doing my homework would he?

Answer to Riemann The answer to the Riemann Hypothesis is Infinity. Infinity times infinity equals infinity to the power of infinity. Infinity squared equals infinity to the power of infinity. If 2 is a prime then so is infinity. You are all welcome. All numbers are comprised of Primes but not all numbers are comprised of non-Primes. Primes make up the building blocks of infinity. They are telling the other numbers what to do. People are looking at numbers and infinity incorrectly. Infinity is Prime so case closed on the Hypothesis.

I understood Everything But also understand Nothing. It's kind of odd.

@jbman890

7 жыл бұрын

+Super ATP Synthase Schrödinger disagrees

@222222225574

7 жыл бұрын

You got AIDS for sure!

@pranavmalik6242

7 жыл бұрын

If it's odd it may be prime.

@u.v.s.5583

7 жыл бұрын

Mathematically speaking, there exist even prime numbers, too.

@bedroom7653

7 жыл бұрын

U.V. S. Two*

It took me an hour to understand what a prime number is.

@anarki777

8 жыл бұрын

+Jasmine Be - Oh dear.

Beautifull ❤️ just beautiful

im ur 1000th subscriber

What I wonder is why do we consider natural numbers as the product of primes instead of the sum of 1s? For example, instead of considering 8 as 2 x 2 x 2, why don't we consider it as 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 instead? By doing it this way, there would be no need for prime numbers, a sum of 1s is all we would need. Just a thought btw, because to me it seems that the rule "only divisible by 1 and itself and not equal to 1" is arbitrary.

@SmileyMPV

7 жыл бұрын

Mahikan Nakiham The two most important structures on natural numbers are addition and multiplication. While 1 might be the additive building block for all natural numbers, the prime numbers are the multiplicative building blocks for all natural numbers. This fact is used all over number theory and even other fields of mathematics. For instance, finding the greatest common divisor of two numbers is equivalent to finding their common multiplicative building blocks. In English: you can find the greatest common divisor of two numbers by looking at their prime factorizations and finding their common factors. Note that this is not the fastest way to determine the greatest common divisor, it is just an example of the usage of prime numbers

@mahikannakiham2477

7 жыл бұрын

Thanks for the explanation. I understand that primes are the multiplicative building blocks but isn't multiplication just a series of additions? For exemple, 2 x 2 is just 2 added 2 times. So to me, multiplication just seems like a concept we invented to facilitate calculations but doesn't seem to be part of the real world.

@98danielray

2 жыл бұрын

the natural numbers are in fact mainly constructed by successors

Rất thông minh. 🦄😚😑😑😐🎏🎏🙂🦄☺️😚☺️😐😚☺️😍😑🎁😍😑🎁🤗🤗🐯

Wish Ramanujan's work got recognised similarly.

@jonmoore9015

7 жыл бұрын

Aditya N Ramanujan's work is very well recognized. The novelty of his story has actually eclipsed the work of more prolific mathematicians of the same era.

@username17234

7 жыл бұрын

More people (specifically mathematicians) know and revere Ramanujan than Terence Tao.

@jmiquelmb

7 жыл бұрын

I don't think I know the name of more than 20-30 mathematicians. I know who Ramanujan was

@cobaltbomba4310

6 жыл бұрын

The one who knew ''infinity'.

@98danielray

2 жыл бұрын

you indian nationalists are everywhere. everybody already knows about ramanujan

Un brasileño reveló el secreto de los números primos, con mi respeto a todos los aquí presentes, ¿qué impacto tendría decir que algunos números no son primos? y los primos gemelos no existen? con dos fórmulas estándar dentro de una progresión aritmética (PA). dos; 19; 41; 59; 61; 79; 101; 139; 179; 181; 199; 239; 241; 281; 359; 401; 419; 421; 439; 461; 479; 499; 521; 541; 599; 601; 619; 641; 659; 661; 701; 719; 739; 761; 821; 839; 859; 881; 919; 941; 1019; 1021; 1039; 1061; 1181; 1201; 1259; 1279; 1301; 1319; 1321; 1361; 1381; 1399; 1439; 1459; 1481; 1499; 1559; 1579; 1601; 1619; 1621; 1699; 1721; 1741; 1759; 1801; 1861; 1879; 1901; 1979; En mi concepto, un número para ser primo tiene que ser factorizado sólo con el número primo en sí, de menor a mayor, y de mayor a menor, por lo que será considerado un número primo... como sancioné una ley que siempre debe ser respetado... .por lo que solo habrá un divisor para cada número primo factorizado... por lo tanto solo será divisible por el número primo mismo... sin comprometer la seguridad de un número cifrado, pero será seguridad sin fronteras, quiero decir: un escudo que nunca se romperá en la era actual...Sr. Sidney Silva, autor de algunas tesis científicas en el campo de las Matemáticas...un descubrimiento único y majestuoso...un descubrimiento impactante e intrigante. .. √2; √3; √4; √5; √6; √7; √8; √9; √10; √11,√12, √877, √350734139, ¿es igual al enigmático número de Pi, con 02 fórmulas increíbles?

He and each time he touches his chin; shows his quest to explain more and more what he knows. But non superpositionary vocal conversation has some limits..

wow, it must be amazing :) i live in Zvolen, Slovakia

it must be cool to have a surname which sounds the same as the first prime number

Perfect! :) How are you old?

why there are chaotic gaps between prime numbers? why there aren't have any rules?

Where is the rest??

Page 2 material in almost any article on primes - there must have been more interesting stuff later on.

live in Connecticut u.s.a where are u from?

THIS IS ABC FORA

Fun drinking game, take a shot every time he says "umm"...

Why does he like prime numbers so much 🤔

Beautiful presentation but would that proof be necessary as if there’s an infinite number f numbers then there has to be an infinite number of primes no matter how low the chance is of one showing up?

@DrakePitts

2 жыл бұрын

this argument does not work. you have to show why specifically the property of being a prime number cannot be limited to a finite set of numbers, which is what the proof here shows. it's not enough to have a hunch like this.

@howitworks404

2 жыл бұрын

@@DrakePitts ah yeah my bad I was sleepy when I wrote the comment thanks for correcting me

It's true. He probably will improve though.

Mathematics is hard to put into easy words

Why would anyone sane post a video where the outro is 10x louder than the talk itself. RIP headphone users.

i wanan be like him when i grow uP!

Yeah..

video after terence tao teaching something: *this is abc fora* me: *nobody cares*

nice.^ and where are you from? I'm 17.

It’s amazing how some people seem to be just naturally talented at maths like him. And then there’s people like me who aren’t.

@johnpaularango8627

2 жыл бұрын

I am sure there is something amazing about you. ✊

@ih8mcfly

2 жыл бұрын

@@johnpaularango8627 my stupidity is off the charts

@johnpaularango8627

2 жыл бұрын

@@ih8mcfly live your truth King 🤴🤣

@short-eu7bs

2 жыл бұрын

I doubt he's naturally as smart as he is. Nobody who is super smart is naturally that smart. They might have an easier time learning, but you get to a point where you have to put in a ton of time and effort to be as smart as him. Being a master at something (especially as complicated as math) will never come easy to anyone.

@mattsmith1039

2 жыл бұрын

It's important to put into perspective that it's not a good idea to compare yourself to someone like T. Tao. He often spent hours after school reading mathematics textbooks, along with his naturally attributed genius. Many times people struggle with one aspect of mathematics, but due to the nature of the education system, this small error isn't patched up or fixed, so after getting say a 70% or so on a test the teacher moves on to the next subject. When the student moves forward, they find their journey in math more difficult because there are more blank spots in their knowledge. And this leads to them thinking they just aren't good at math, when this isn't the case. Sal Khan makes a great ted talk on this.

what a god...