Order from Chaos - Numberphile

[@philschannel1750]

The point is, this is some serious maths.

[@kevidle]

I loved that bit so much, I had to replay it several times!

[@macdaddy2384]

TheRedstoneToaster get a life

[@qutuz9495]

This guy's quotes are always on point 👌

[@denny141196]

Damn, I thought I was going to learn to destroy noobs at Uno.

[@aleksitjvladica.]

Ахахахахахаха XD.

[@leo17921]

do you realize that UNO is a totally luck-based game? no strategy

[@sudheerthunga2155]

@@leo17921 You sure, Mister?..'Order Outta chaos'

[@badrandom3rd]

He handled that 20 pounds like it weighed nothing at all!

[@MVBit]

dude pounds are a currency where he lives

[@lionhardt75]

Dante Thompson dude I think you missed the joke.

[@l.z.7320]

MVBit r/whoosh

[@masaltzero]

@@MVBit whoosh right over the head (old reply sorry)

[@FredericSimon]

Here is the explanation for 42. Finally found the question to the ultimate answer: What is the square root of amount of permutations of 9 cards that have no 4 cards in ascending or descending order? How come Douglas Adams did not know this? :)

[@funkysagancat3295]

What is the natural number that comes immediately before 43?

[@FoakGames]

42.. We meet again

[@Sn0wjunk1e]

42 is meaning of life confirmed

[@noonecanbeatmeinwar6163]

Awesome, you got 42 likes

[@Jasruler]

I fraking love this guy. His videos are simultaneously intense yet joyful in a really relaxing way.

[@HugoSellerberg]

42 squared. Because of course.

[@nicholasleclerc1583]

Hugo Sellerberg Ikr, maybe it’s from there that the author of Guide to the Universe (idk the full title) got its inspiration ; p with a few more special properties

[@jorgekaz07]

Douglas Adams - "The Hitchhiker's Guide to the Galaxy". Awesome books by the way

[@kiddmath]

Why is it 1764 tho? I know he showed the formula, but how he got that?

[@creature_from_Nukualofa]

Brady Haran is the Martin Gardner of the 21st century... opening the eyes of many to the beauties of math and the sciences. What Gardner did with his writing, Brady Haran does with his videos.

[@GrtrThnClnD]

This guy is way different than the other guys who explain mathematical concepts. Most others would explain their applications, the history behind those things, but this guy; this guy simply wraps you in mysteries that will make you struggle in understanding them. Most, if not all of the stuffs he explains aren't for the sake of 'reality' or actual application, much rather, he does it for the sake of the love of math itself.

[@v1Broadcaster]

This is some serious maths. Simon is my new favorite meme

[@AdrianBeyer]

I love that guy, he's so enthusiastic about this stuff!

[@terapode]

This professor is so entertaining!! He is a natural born comunicator. I would like to see more videos with him.

[@TheSentientCloud]

I love it when I wake up to find that you guys uploaded a new video. What better way to start the day off but with beautiful math?

[@tarcal87]

2:24 That cut cracked me up :D [In an elevating voice leading to something awesome] _"The point is..."_ [Slow, deep, serious voice] _"This is some serious maths"_

[@kosmar]

'this is some serious maths' he said

[@handsome_man69]

Markus Angermeier someone should sample that line and mix it into an electronic dance track

[@nal8503]

+Felix T-Rex Has it been done yet?

[@NoriMori1992]

+Felix T-Rex I'd be willing to try it. You'll just have to remind me in a couple weeks when I'm less busy.

[@Trias805]

I'm reminding you in two years

[@Sopel997]

42 is because 42 is answer to the Ultimate Question of Life, the Universe, and Everything

[@KazimirQ7G]

Excellent video. Thank you so much, Brady! You made my Sunday.

[@ashwinjain5566]

who knew diving deep into a leetcode problem would unearth this mathematical beauty

[@321yelhsa]

That 20 would have been mine! I came up with the combination 472951836 in less than a minute. And it only took me two tries! So I tried it, messed up, and got it the second time. I did it with the method of keeping 5 in the middle. Put the extremes (9 and 1) on the opposite side of the 5 (so 951). Do the same with the now extremes, but keep them on the same side (so 2958). Continue in this back and forth method, so you get 729583, and finally 472951836.

[@Lugmillord]

1764... gotta remember that. Just like 42/Pi is about 13,37

[@gradyking4739]

Pi is about 3.1415

[@uzbekistanplaystaion4BIOScrek]

Grady King No really, you don't say, sherlock.

[@lewiswitton6417]

@grady he said 42/pi...

[@Adderkleet]

e^(pi) - pi is about 20. Like, really damn close to 20. 19.9990999...

[@Lugmillord]

But there's no 42 in it D:

[@ThomasGiles]

Not sure how this is "order from chaos", but interesting nonetheless.

[@GaMatecal]

Because the pattern breaks, but still continues? Though, it never broke because the limitation was set to having only 3 ascending and 3 descending. The rule could be changed for 4 ascending and 4 descending and the same problem will show it self once you add a new number...

[@ns88ster]

Not sure why you still believe in "holy magic", but interesting nonetheless.

[@beraulgd3662]

Oh, this is like a thing from combinatorics discovered by a guy named Paul Erdös. Basically, he said, If you got n^2+1 real numbers, you will find at least n+1 numbers are non-descending or non-increasing. Which is like weird to think about, it uses this thing called the pigeon hole principle to prove it

[@anon8109]

Nice to see some real proofs appearing on the channel. More like this please. This is a very nice illustration of the use of the pigeonhole principle.

[@kikazz91]

Did anybody else have a flashback of "If my calculations are correct,when this baby hits 88 miles per hour, you're gonna see some serious shit." at 2:25?

[@Slater6977]

"This is some serious maths" that quote just made my life

[@umutcoskun4247]

What you do not know, is more important than what you already know.

[@joshuaperry4112]

I got into a fist-fight over Uno once. Don't tell me there's order through Uno.

[@ImDengler]

"And the point is: This is some serious maths." Oh good. Love you Simon!

[@pyrokinetikrlz]

Pretty nice video!!!! I really love all your channels!!! You are one of the fattest youtube educators!!! Thank you Brady! Greeting from Colombia

[@robinvik1]

The point is: *(dramatic pause)* This is some serious math.

[@Trias805]

There should also have been a camera close-up and dramatic music.

[@NoriMori1992]

Trias00 I think the Inception sound would've done nicely.

[@pierrevoue5170]

I reasoned like that: Concentrate the risk and neutralize it. Put the 3 of 123 on one edge, the 7 of 789 on the other and then, depending on how you ordered them, put 456 or 654 in the middle.

[@Cinqmil]

This guy should teach math to kindergarten kids. Some math behemoths are bound to rise from those classes.

[@andregon4366]

There is no order in Uno. Only chaos and pain. Especially if you play with 7, 0 and draw cards until you can play rules.

[@studio48nl]

Probably has to do with circles...

[@TheJareWolf]

Simon Pampena is the best more Simon Pampena Simon Pampena for president

[@icesun_]

Took me about 3 minutes to come up with: 4-7-2-9-5-1-8-3-6 which is: 5 in the middle and then always the largest and smallest number one step outwards with alternating sides... *:)*

[@seanehle8323]

I'm no mathematician, but aren't we talking about randomness and not chaos? I thought chaos was definitely not random, but a sensitivity to initial conditions. I.e. if you give the same input over and over to a chaotic system, you always get the same result, but if you give it an input that is nearly the same, you get a drastically different result. I don't see how chaos has anything to do with this video.

[@KevinTwiner]

Cool concept!

[@sth128]

Poor Brady got cheated out 20 pounds by Mr. Universe.

[@Pineapple-Lord]

Thats fun... i was able to watch the commercial before the video twice with sound but there is no audio for the video for me...

[@Innengelaender]

Nice video. Btw. I also like your work with the FBI - would love to see more. ;)

[@SendyTheEndless]

2:05 ... waiting for the Douglas Adams reference.... still waiting... :)

[@AndresRodriguezGuapacha]

Already 1500! Great work!

[@xtraflo]

This guy has to be the first person in my history to ever get me interested i Mathematics...

[@bahao1274]

I was watching another Numberphile and then this video appears :O

[@Furiends]

This is actually the same principal that sudoku uses.

[@parthasarker6121]

At 4:57 does it mean that you can't do it with even number of cards...???

[@tamimyousefi]

I did exactly that. Oh, I could have won the money, yet I sit in my room and eat left over pizza.

[@cara-seyun]

The number is 42 squared because 42 is the answer to life, the universe, and everything

[@steves3948]

I love this.

[@maoman4855]

I paused at 3:25 when it says "a short time later" to see if I could do it myself. I thought following a specific pattern would work and after a minute or two I came up with this 1 2 3 4 5 6 7 8 9 Divide into two groups of four with a digit in the middle (1234) (5) (6789) Reverse the groups (4321) (5) (9876) Swap the first and last card (i.e. the 4 and 6) and swap the third and seventh (i.e. the 2 and 8) (6381) (5) (9274) And this is one of the 1700-ish patterns 6 3 8 1 5 9 2 7 4

[@michaelhatch7324]

Someone make a captioned gif for when he says "Now this is serious maths."

[@ЕлизаветаК-о8й]

ha-ha, 42 dislikes) people, don't give this video any more dislikes so that number remains!

[@DanDart]

Chaos gives rise to order and disorder. Hail.. Maths?!

[@podcastbard]

42, that's the answer to the universal question.

[@easymathematik]

The point is, this is some serious math. Hahaha.

[@kheins42]

This man... He LOVES maths.

[@hakkbak]

this guy is beast!

[@Dyslexic-Artist-Theory-on-Time]

Could we not have order and chaos out of a process of symmetry forming and breaking?

[@MM0x2A]

sry but what are quantuum atoms.. :D //watch pi, read "busshism and quantuum physics" by christian thomas kohl

[@shayneoneill1506]

Alpha Peng And look up "Quantum physics woo" on Sixty Symbols. Seriously, Kohl, Deepak Chopra and all those guys are idiots who confabulate religion and science to come up with conclusions that have *nothing* to do with physics.

[@jgilgorri]

Shayne O'Neill Thank you, Shayne. I guess not everyone who's heard of quantum physics is a nutter lmao. I'm a physics major, so I appreciate the anti-woo.

[@shayneoneill1506]

I suspect a lot of people get a whiff of some of the non-determinism going around in parts of Quantum physics and assume non-determinism means "whoohoo ALL the crazy shit is true!"

[@genesijlopezortiz9601]

How did he get the formula for the 1764???? partitions?

[@suhasgondi181]

You might get an idea of how he got that after you see his video on "shapes and hook numbers", he explains how that formula is obtained in a different context but if you are smart, you will realize it is somewhat similar to this.

[@NTCDE]

Hi @@suhasgondi181. I watched but I didnt understand why he squared the result.

[@Tfin]

Did he end this by saying that a lack of order is order?

[@jake3189]

Brady should've chosen a few configurations at random. Probabilistically he would've found an appropriate configuration quickly

[@turtle3330333]

Just curious where the 1^1*2^2*3^3*4^2*5 comes from?

[@aok76_]

From serious maths. Couldn't help it even five years later. xP

[@safar5021]

Amazing sir

[@Borednesss]

So this is for making bet money? Ask someone to arrange 10 cards so that no four cards are descending and ascending?

[@TedManney]

Boredness It's an interesting fact about numbers, like all the other videos on Numberphile. It isn't necessarily "for" anything.

[@Borednesss]

TedManney It was more or less a joke =P

[@ns88ster]

9 cards....

[@Borednesss]

Crab Nicholson Well that would decrease your odds of winning since there are 1764 ways to do it with 9 cards... there are 0 ways with 10 so you're sure to win! =P

[@gabrielcotton4858]

Interestingly 10! is exactly equal to the number of seconds in a 6 week summer holiday. (3628800/(6*7*24*60*60) =1)

[@KWGTech]

but not a 6 week winter holiday?

[@Jivvi]

He came pretty close to making a permutation where you can't do four descending just at random. Move the 9 from the start to the end and there's no way of making four descending.

[@KiwiPokerPlayer]

Great video, Uno was one of the first card games I learned. Come to New Zealand Brady. We can do a "Maths of Poker" video. You can shag some sheep and eat some fush 'n' chups while you're here!!!

[@MMAthdh]

how about a standard deck of playing cards, mixed with 6 identical decks; is there a predictable ascending or descending pattern?

[@jokayo92]

hhh that was in my mind a while a go, I had the same conclusion, you proved the first part is true , now the second : Could we get chaos from order ? "I dont think so :P"

[@NeonsStyleHD]

Does this mean all odd factorials will have this feature assuming the number of ascending/descending numbers increase

[@kundukulankara]

Press 5 to get a compliment

[@AlexK-jp9nc]

5

[@Eurley66]

You're a really bright person

[@AlexK-jp9nc]

:)

[@me_hanics]

5 5 5

[@thatoneguy9582]

Shebin Paul 4

[@rogerwang21]

One of the numbers pressed lets you hear Simon Pampena say the number you just pressed Which one is it?

[@dannygjk]

So...what does this have to do with order from chaos?

[@MozartJunior22]

Brady, can you make a video about the Birthday Paradox?

[@sadafkadir498]

The answer to life the universe and everything shows up again

[@revydmat]

That shirt is chaos in order😬

[@KipIngram]

Ha ha ha - I figured it out; wish I had been there!

[@themonkifier7474]

This is some serious maths. Ya, playing Uno is very serious...

[@stringbeanpc]

Numberphile Is there any way of doing this same idea with either 1) less numbers or 2) the numbers repeat example 1) 123456 example 2) 534 854 819 in this case 5, 4 & 8 have repeated and have missed numbers 2, 6 & 7

[@fernandopizarrovillagarcia6992]

It's not the zero. If you use 9 cards from 0 to 9 but you miss another (e.g. 5), it could be 210643987, and problem solved. And I think this problem could be inducted for 3 or less ordered cards (with less than 9 cards) or 5 or more ordered cards (with more than 9 cards). Like: 2143, one more card makes 3 in in/decreasing order. 1, one more card makes 2 in in/decreasing order. 43218765CBA9GFED (assuming A for 10, B for 11, etc), one more card makes 5 in in/decreasing order. It is always a squared number for maximum number of cards. If you want at most "n" cards in in/decreasing order, you need at most "n"^2 cards.

[@gantok2]

Can you not ascend / descend the other way? What would be the chances if it worked like that?

[@TedManney]

gantok2 "Ascending the other way" = descending "Descending the other way" = ascending The game would be exactly the same.

[@tolgacakir1939]

have no idea what this is about, but sure anyway

[@TheGreatSteve]

Brady, please make a video about Numberwang!

[@nokian9005]

Simon looks like an animal crossing character in that outfit. ^^

[@MrCaptainDerp]

What is the practical application of this knowledge as demonstrated in this video? It is neat to learn some of the intricacies of numbers. However, would this have use in anything other than mathematics?

[@SilverTheTabby]

"The point is, this is some serious Maths" 2:23

[@nomenclator4339]

my brain hurts

[@JustOneAsbesto]

"This is some serious maths" needs to be a gif.

[@LudwigvanBeethoven2]

Sees 42 in the video Goes straight into comment section

[@qwerfa]

Didn't know Douglas Adams played Uno...

[@TedManney]

qwerfa I thought to myself, "What does he mean by that? Douglas Adams doesn't look anything like this guy." Then I felt like an idiot.

[@suncu91]

i like singingbanana (cant remember his name but i can his chanel name) videos more. why dont i see him in your videos more?

[@shruggzdastr8-facedclown]

So, was Douglas Adams playing Uno when the answer to life, the Universe and everything came to him?

[@Toastwig]

Hi comment-checking Brady :)

[@cheeseburgermonkey7104]

9:33 you can tell they form a pandigital number

[@aizenadante78]

I'm holding UNO cards while watching this video. *PeRfEcT*

[@abcoi123]

I do not see how what u do means you get order out of chaos. Ciould you explain it more.

[@Trias805]

The more cards you have, the more "chaotic" they should be. Yet for 10 cards they are always "organized" in the way described in the video, which is not always the case for 9 cards.

[@hynjus001]

"The point is: this is some serious maths"

[@NTCDE]

I didn't understand how do you get the number 1764 ?

[@holdintheaces7468]

Is knowing that there were 1764 a P versus NP problem? Better yet, can you do a video on ways people are trying to approach the P versus NP problem?

[@suhasgondi181]

You might get an idea of how he got that after you see his video on "shapes and hook numbers", he explains how that formula is obtained in a different context but if you are smart, you will realize it is somewhat similar to this.