The Banach-Tarski Paradox

[@kedapofeng8993]

Chiropractor: I’m just gonna make a small adjustment. *turns 90 degrees* *accidentally duplicates spine *

[@dillon1012]

Hah

[@squid_god_supreme5795]

Ok but like a Hydra

[@Omega7321]

My mans did the shift + drag

[@dti6342]

Extra flexible

[@davidcroly7654]

add bra kad add bra????

[@jekimoh]

Feels like I've learned everything but nothing at the same time

[@HilbertXVI]

impactofredemption r/im14andthisisdeep

[@theviniso]

That's maths for you.

[@stanleymizerski1065]

that's called life

[@maxwellli7057]

Vsause? More like Vegie sause! ! !

[@ashleydabas7612]

that's why it is called paradox

[@danzgalliwag]

i feel like the reason this is one of vsauce's most popular videos is because so many people come back to it every now and then cause they don't get it.

[@neilmacdonald6637]

Aren't those the best videos? haha

[@ogrim0]

Yep, my second coming. Still dont get it.

[@ExquisiteSquid]

This one is reallly hard to understand if your brain is not accustomed to thinking in infinites and using assumptions to make other assumptions. Like I bet math majors would be able to follow this quite a bit easier than most people for that reason

[@christallee2660]

@@ogrim0 my 5th, and I'm still clueless

[@Ender7Daker]

lol

[@boredboardgamerkramer]

This video is incredible. In only 24 minutes Michael took a concept that is utterly incomprehensible, separated it into a number of smaller parts, and turned it into a concept that is utterly incomprehensible. One might say he Banach-Tarski'd the shit out of it.

[@Oinkiepiggy]

That twist got me

[@dudebuddy69]

That's what you're doing genius........ Education, hurts your feelings.

[@abdirahmanmohamed7445]

😂😂😂😂😂

[@itsreallyhardtospell]

@@dudebuddy69that’s funny because my feelings didn’t make it to the video, my reasoning, logic, education, experience, they all made it. Also kinda backwards to have 69 in your name but you’re not nice.

[@lifalifaen]

HAHAHAHAHHAHAHAHAH

[@firaskoukene7370]

Whenever I feel like I'm smart, I come and watch this video to get rid of that nonsense

[@josephbauer4483]

Ever tried watching videos about space-time??? Or astronomical physics? Lol

[@screamsinrussian5773]

one 2 heist 1 cespie . = 1 despite cheeeck, while it take

[@robertmetzger1753]

Yeah ! Right ?

[@robertmetzger1753]

@@ragecentral2861 Not Very Nice Earthling ?

[@robertmetzger1753]

So What His Point! I Already Knew you cant be like Buzz Light Year and go BEYOND INFINITY !! WE ARE FINITE!!

[@reginaphalanges9428]

Gave 1 star to Hilbert's hotel on Trivago. They kept shifting our room.

[@eleanorbarryjhondersey7492]

Feels like I've learned everything but nothing at the same time

[@mdriz1353]

Underrated comment!

[@peet-janissen5838]

This comment is just a cute joke and I love it

[@peet-janissen5838]

@Eric Lee thanks spelling is not my strong suit

[@madkirk7431]

@@eleanorbarryjhondersey7492 I hate to be the a**hole, but that was stolen from one of the top comments.

[@jeremiahnoar7504]

Every time Micheal says “or can you” the universe reluctantly has to rewrites the laws of physics.

[@velcro3105]

@@alexandramarberry1023 Or is it ?

[@Re_Souls]

But can you?

[@zebedeoiiiganado9312]

or can they?

[@MrT8T3R]

"Ye canny change the laws of physics!" -Montgomery Scott

[@obiwan8972]

Or will it 🤨

[@Bug10ten]

"It doesn't care; it's infinity" Thats the level of confidence I want to acheive

[@ashtabarbor3346]

This is true pure mathematics. The kind that makes you feel smart, stupid and insane at the same time

[@n0denz]

Mostly makes me angry.

[@henkebenkebankpress27]

That is the perfect way to describe it, thank you!

[@stealthis]

@@n0denz 😤

[@asheep7797]

@@stealthis 😤= 😠 + 😔 + 🙁 + 2 x 💨

[@Ins1gn1f1c4nt]

​@@asheep7797 Me when 1 + 1 = 2: 🥵 = 😰 + 😡 + 😊 + 😛 + 💧 Me when 1 + 1 = 1: 🤬 = 😡 + ➖ + #$!@

[@_username]

Michael could go clinically insane and no one would notice a difference.

[@lore644]

maybe a little bit

[@Trevor123abc]

Already is

[@JohnDoe-my5ip]

Same goes for all mathematicians really

[@PeterDB90]

Please! Someone explain this part to me 13:50 Why is it that "UP" does not end at the same point as "RIGHT, UP, LEFT"?

[@pecareca6735]

Fr dude

[@jarvingviolin6027]

“countable means you can count them” is the only part i understood

[@memama4389]

same

[@dougb9348]

ditto

[@elinel9658]

:))))))

[@酎ハイ飲んだらいい感じ]

Lool

[@TuddecBMW]

it means there exists a bijection between the set you're looking at and N (the set of natural numbers)

[@CipheredCrimes]

I’ve been watching VSauce for the past 10 years, and some of his videos went over my head. I rewatch them and I understand things I didn’t before. What an awesome channel. I wish he did more lengthy videos instead of shorts.

[@archaven7783]

"Countable means you can count them" michael you are so wise

[@morpher728]

Or is he

[@JetFalcon710]

@@morpher728 ...Hey, wait a minute!

[@HastelloyC276]

Ngl he spittin striaght fax

[@michaelpartridge1381]

My name is Michael

[@Aalthaia]

Lmao idk why I needed this, but thanks

[@paulcimijotti3686]

Teacher: the test wasn’t that hard The test:

[@lindseyrubenstein6028]

Paul Cimijotti right when I read this Vsauce said “That’s not possible to do in the real world.” Lmao

[@fosin3889]

Yep

[@Ryan-fosho]

Right after I read “the test” Michael asked “what is infinity” like it was question no. 1

[@zer0kelvin511]

Same exact thing happened to me indie Jones lol

[@ireviewyourcomments8071]

Copied

[@error7263]

Start: Can you multiply a chocolate bar? End: The Universe is both infinite and finite.

[@phoenixjamirazucena5672]

hah when u know why theres choco trick but u cant explain

[@larswalzberg8486]

You don't have to be smart to get its relative point, i gues :D

[@Alaskflls]

@@larswalzberg8486 9 divided by zero is infinite :D

[@darshanjain6707]

@@phoenixjamirazucena5672 lol he spent a great deal explaining how you can make two spheres

[@error7263]

@@larswalzberg8486 I know

[@MisterVish]

1:15 Michael... don't you dare... DON'T YOU DARE SAY IT. Michael--- 🤦 He said it..... HERE WE GO

[@paolalovescats]

Why did I read that in an indian accent 😂😂

[@MisterVish]

@@paolalovescats I don't know, but now I did, too 🤣🤣🤣

[@NASAnerd-bc2mx]

I immediately thought of Vsauce's mom saying this 🤣

[@MisterVish]

@@NASAnerd-bc2mx i can hear it! 🤣

[@neutralnoob4599]

*Queue the Vsauce music*

[@gdragon521]

Imagine staying at Hilbert's Hotel, and every time someone shows up, you gotta pack everything up and move down a room

[@isaaccrimmins968]

An infinite amount of people show up

[@zetrian_3679]

@@isaaccrimmins968 I will just f**king leave the hotel and stay the night on a park bench

[@thaliapanacea964]

Definitely sounds like a Wes Anderson movie.

[@mohammadhamza4059]

@@isaaccrimmins968 watch ted ed video about infinity paradox they have answered your condition there

[@jacksonpowell6687]

Imagine the buffet of hookers

[@thecoolestdogonearth7913]

Michael: Obviously you can’t cut up a chocolate bar and have more than you had before. Me: don’t say it Michael: or can you

[@CieloDehaz]

*groovy music starts playing*

[@rodh1404]

I can. (Because I'll steal yours too. And Michael's, now that I think about it).

[@kagemushashien8394]

It's how Jesus duplicated bread

[@manioqalegram5396]

Once You know lyrics, You can't sing along! Toom aroom, pam pom pam

[@manioqalegram5396]

Reals are Aleph_null to power of Aleph_null

[@the.slanging.thomas4038]

6 year old: im infinite cooler than you Another 6 year old: im infinitely+1 cooler than you Michael popping out of thin air: actually...

[@blightedcrowmain8236]

Dunk Potato This is the most underrated comment on this comment section

[@asdasd-ho3mm]

The funniest thing is that when we were kids, we would say that. Then as high schoolers, we thought infinity = infinity + 1 and made fun of people. But actually, in terms of ordinal numbers (where omega is the smallest infinity - countable infinity), omega is smaller than omega + 1, which is smaller than omega + 2, etc. This is different than cardinal numbers, like aleph-0, where aleph-0 + 1 = aleph-0. The whole point is that people have their own ideas about how to define everything, which is pretty epic in my opinion. Mathy explanation of the difference below: When defining the ordinal numbers, we take 0 = the empty set, and S(n) = n union {n}. Thus, the nth natural number is the union of all the natural numbers before it. Omega is the union of all the natural numbers, then. And then adding one more element to the set grows it, clearly. The cardinal numbers are defined as the distinct isomorphism classes in the category of all sets. That is, if you can map every element in one set to every element in the other set, they're in the same isomorphism class. So, as it turns out, when taking about these, we could totally map a set with omega elements to an element with omega + 1 elements. So in that sense, infinity + 1 = infinity. Weird, right? It's the best part about math, that the further and further we dive into trying to explain everything, we find more and more unanswerable questions.

[@hecommentswithmyhandle1698]

😂

[@3ghin5]

*vsauce music plays*

[@youraverageasian123]

Me, an intellectual : I am cooler than you no matter what

[@KaisArmougom]

Summery: 0:00 Chocolate 1:17 Intro 2:11 Infinity - 2:50 Countable and Uncountable Infinity - 6:50 Hilbert's Paradox of the Grand Hotel - 8:08 Shapes - 9:38 The Hyperwebster 11:16 Banach-Tarski Paradox - 11:31 Sphere's Surface - 15:33 Why 1+1=1 19:01 Conclusion

[@superninjahguy]

This, is just simply how a cobblestone generator works.

[@peterspiesz6739]

This is an underrated comment.

[@litmaaxg1782]

Facts

[@GothAtheist]

This just made my day.

[@armironkurbalaj9343]

u are awesome dude

[@okaylow9124]

Lol

[@nickitachu9290]

I've watched this like 5 times now, I'll get it eventually...

[@orange2894]

I don't think I'll ever understand this...

[@BurgoYT]

@@easterlake I think I’ve watched this 5 or 6 times since it came out and I finally get it omg I guess I was just too young before lmao

[@dairhat]

It's my 6th or 7th time watching now and I just got it! :)

[@arijitdubey2282]

If u watch it infinite number of times, the information u find is gonna keep increasing, as every time you watch it, your brain gets somethings that it didn't get the last time. Eventually, you will end up with infinite knowledge wtf It's 1:00 am. Don't you dare say I'm wrong. Actually..It maybe a hyperwebster... Caus' infinite knowledge can be divided into two parts: 1. Infinite knowledge 2. Infinite knowledge. Basically, U have infinite amount of infinite knowledge. I need to sleep.

[@Adam_5291]

lol

[@williamsmith3629]

Imagine being the person who cleans all the rooms in Hilbert’s Hotel

[@zaahilibraahim7113]

Theres no reason for one person to clean the room because there are infinite numbers of cleaners . Sorry, Vsauce has gotten in my brain.

[@emmanuelnethery9498]

@@zaahilibraahim7113 with infinity room's then there would be a infinity area in the hotel therefore the hotel itself is infinity so if you were outside the Hotel and tried to walk around the area of the hotel it would be endless

[@zaahilibraahim7113]

@@emmanuelnethery9498 yea

[@jovikidd]

But who has to buy the Lemon Pledge?

[@kliersheed]

why clean a room if you can always use a new one whenever you want ? their are infinite after all ?!

[@IljaMuromec114]

I come back to this video once every year to see if I got smarter enough in order to understand the banach-tarski paradox. This is my 4th year, I finally understood

[@poopfloatackedyourmans1115]

good

[@Furkan-yv5ew]

Oh, finally, someone who gets it! I’ve been stuck with so many questions, and I’d love your thoughts: 1- Technically every point may pas from polar parts of the sphere? So why don't we call each point as polar points? What does it mean to be close to those polar points? Ok this is the only question left that i didn't really get. Actually I have an answer. Polar points are the points doesn't act like we wanted. There are countable amount of them. But why? I think there can be uncountable number of them. If you can do that 14:56 image than you can do it on any point on the circle that point is on which is uncountable. And actually creating an image like that is impossible. But for example it is possible for the points 1 left away from the pole points for up and down movements to act like we don't want. For example we can apply those points left, down, down, right and we get to the point we started. Because when it is on the pole point of up and down it doesn't get effected by up and down. So when we do right we get to our starting point. This really is an issue. We need to fix it. This is just an example. And we can create multiple of them. So the issue here is understanding if the polar points are countable or uncountable. If it is uncountable then I think we didn't achieve anything. Because if it is uncountable the sum of up down right left and start pieces can be countable. Which means countable number of points. It doesn't even create a line. We can't guarantee to fill the space left for polar points with the points we have.

[@pkcaleb463]

“Countable means you can count them” Man I’m glad I skipped school and watched Vsauce today.

[@gtrgaming6784]

pkcaleb Your 100th like your welcome 💯

[@KibyNykraft]

Abstracted mathematics must be one of the dumbest, most pareidolia type of activities in the history of mankind. The number of atoms and the degree of force in a dollar bill and in a rotating unit is exactly the same before or after math nerds start their rants

[@kyrondecker9666]

same

[@gggman43]

I literally stayed home from school ND watched alot of his vids n took notes ND learned it went back to school taught my teacher den used this all in my reason why I dont need to go to school to learn

[@mridontknow4586]

The only thing I understood from this vid

[@pisulolol]

dude imagine you’re in a argument with Michael and all of a sudden he says “or can you?” at that point you know you’re done

[@BobOnSteam]

Yep

[@retrieverstudio]

“You can be alive. Or can you?”

[@oliviawilson4806]

Omg this comment is genius

[@iiReTr0Z]

@@oliviawilson4806 Or is it?

[@omega4379]

@@iiReTr0Z or are you?

[@justakid1238]

Landlord: Alright Michael, rent is due Michael: *proceeds to explain to them why rent isn’t due until next century*

[@pickle3641]

>rent is due >OR IS IT?

[@itsflyde]

Krakeon “michael please you do this every month give me the money and let me see my family”

[@voicemint]

No problem for Michael as this video has probably paid for his house -- no more rent.

[@purewater3177]

😄

[@PR0TEGE]

Like 667, saved you all from the devil.

[@cenentai4013]

Imagine eventually in the future when science is morre advanced, kids will be playing with banach-tarski sphere puzzles instead of rubik's cubes.

[@alessiodonvito1368]

kzbin.info/www/bejne/b3quqIOlg82Daqc

[@JonathanAufderheide-ln8pr]

Did you really just say "Rubix"?

[@cenentai4013]

@@JonathanAufderheide-ln8pr oops thanks for pointing that out.

[@jammyg1779]

Did you really just say "rubiks"?

[@JonathanAufderheide-ln8pr]

@jammyg1779 lmao

[@malvahalva9610]

It’s insane how he can go through half the video before he actually dives into the topic and still keep us engaged

[@guywhoasked6046]

half the video im already going insane

[@johnnorris1983]

This explains how mars bars and Cadbury chocolate bars got smaller and retailers and manufacturers got richer .

[@johnnorris1983]

They thought you wouldn’t notice !!!

[@MolkoKillStyle]

@@johnnorris1983 Don't u mean Kit Kat?

[@fiusionmaster3241]

Interesting to say the least

[@RyanH9894]

I love everytime he says something and then just goes “OR IS IT”

[@andromedagamerz6533]

I hate when i stop understanding his explanation just after easily understanding the whols previous things he talked about.

[@KenobiStark1]

I was just about to comment this hahaha ......or was I?

[@trickvro]

OR DO YOU?

[@atsin7380]

Hi Ryan I am from the future, 2021

[@lightiningAc]

Banana man

[@James-nl5pr]

7:15 *another guest shows up Everyone in the hotel: Aw shit here we go again

[@aayushagarwal5638]

lol

[@Scytr1x]

That’s exactly what I was thinking lol

[@pambansangtanungannyo]

Imagine, you will move out of your room infinite times in a day.... ow sheet

[@fzlagges5849]

Or like just give him the last or infinity+1th room which is infinity

[@NicoRH-pd9ir]

Infinite numbers of Aw shit, here we go again

[@nathanvossyoutube]

2:17 that was the best blah blah blah I’ve ever heard

[@definitelynotasquid]

you know you boutta learn some shit when michael says "or can you?" and the music starts

[@RunItsTheCat]

And you see that the video is 24 minutes long xD

[@TheForsakedAngel]

Daniel Grosch He should put x-files music on when he says that xD

[@tim213455]

Daniel Grosch You know that the shit is about to get real when he says "or can you?".

[@frzferdinand72]

When he says that, just know... YOU GON LEARN TODAY

[@YujiUedaFan]

Daniel Grosch Yeah, I even mouthed along to it! BTW, this Paradox reminds me of how people used Key Black on cartoons, so they didn't have to use use too much Magenta, Cyan and Yellow. They took away colours, yet ended up with the same thing!

[@invalidusername2907]

Michael: ...we are now ready to move onto shapes... me: *you lost me at “hey vsauce”*

[@jeebuz6627]

pupper_mint underrated comment 😂

[@invalidusername2907]

Jeebuz thanks bro

[@newsmoke2596]

🤣🤣🤣😂

[@bered4894]

pupper_mint hey vsauce?

[@kaktusakoyt1330]

But hopefully not to a purple square. It is scary.

[@jonathanclark9193]

when he hits you with the "or can you"

[@LOLegitimateLOLegitimate]

😩

[@Konnen-l9h]

Me: OMG infinite chocolate

[@jjef8706]

😣😫

[@lisagarcia8825]

I felt that

[@tadano-kun5997]

When the music hits

[@EasyCookingTutorials]

9:16 "no hole will be left unfilled😂

[@RationallySkeptical]

I see you already wrote my comment for me. Thanks.

[@amorgan5844]

Gotta be mentally prepared for that

[@EasyCookingTutorials]

@@RationallySkeptical gotchu bro

[@Its_Tuff]

I have a lot of achievements in life but my biggest achievement is understanding half of what this video explains

[@HassleHoffer372]

The first part is easy, your mind decomposes once you start talking about the actual paradox

[@paulinoponcianotugonon2182]

@@HassleHoffer372 mine wasn't decomposing infact it was never even there

[@randomgblsfs2190]

That's some bold claim man.

[@maccaswam]

Same

[@RafaelMunizYT]

@@paulinoponcianotugonon2182 mine evaporated

[@professionalgarbage2893]

Michael: “Or can you?” The laws of physics: *sighs*

[@spikynwm4292]

Ha. *Yes*

[@skoviozgamer7436]

Michael written the laws of physics !

[@sofijagorovenko6288]

In future they will say Vsauce the god of Or can you

[@joemomma6414]

SamTheMa'am you stole this didn’t you

[@ivosirakov1278]

Or do they

[@eveeveeveve]

when he said “the missing hole is forgotten, turns out we never needed it to be complete,” i felt that.

[@angelinajackson7684]

purple eve mood

[@ploopybear]

im 14 and this is deep

[@fritos286]

I am that missing hole in life :((

[@paxarite]

13:50 bro is URR away from getting cancelled

[@AimarDAGREAT]

nah its RRU

[@paxarite]

@@AimarDAGREAT he wrote it backward

[@vakeiniux321]

"No hole will be left unfilled" -Vsauce

[@BermanTV]

sounds like my honey moon

[@arakbmt2379]

Except the potholes in my home state!

[@kiraholzhausen9936]

@@arakbmt2379 Michigan?

[@bluecicada9904]

The words my dad muttered on my 7th birthday party

[@Canose]

@@arakbmt2379 sweet home Alabama?????

[@morfy2581]

Most KZbin videos are one time consumptions. Vsauce is that rare gem with rewatchability value.

[@mattb6646]

Only because you didn't get it the first time

[@mr.pineappler4269]

​@mattb6646 not necessarily for me

[@mattb6646]

@@mr.pineappler4269 I meant myself lol

[@mr.pineappler4269]

​@@mattb6646Alr mb

[@tekiii1]

Soviet Womble and Cody ko that’s cringe

[@seniorvelez7427]

Cop: You’re under arrest. Micheal: *Or am I?*

[@rjbloxham9400]

See what you don’t understand is...

[@raydiesel6251]

Nice...

[@macciedeezy]

Michael*

[@nukeshine]

Cop: Ah shit, here we go aga- *Vsauce music plays*

[@alexmoreno382]

One of the Paradoxes proves that I can’t be actually arrested, if you divide 10 and 5 you will get 2, The 2 counting as a “N” Now if you divide 1 and 1 it would be 1, The 1 Counting as a “O”. You know where I am going to this? Now this is the place where the magic occurs, divide 8 and 2 which would be 4, The 4 counting as “U”. Did u see the magic happening in front of your eyes? (Sorry if this had no sense lol, I don’t speak english)

[@Cyanadeo]

Lost the plot about here 5:09

[@MynameisnotGraey]

That’s because it’s dumb

[@miikael123able]

Me too man, me too

[@justcallmepotter]

same here

[@krtign99]

Whatever number you get from the adding and subtracting the diagonals cannot exist in the list, because you’re literally changing every number in the list to get it. So it’s impossible to count that number.

[@maddoxmonteza]

It's interesting to see that even after so many years none of the Vsauce videos seems old. They are ageless.

[@momentouscrazynoob1709]

Just like him. Time will never catch up to either of them

[@Immadeus]

Or are they? (moon men starts playing)

[@Skull_kid753]

Why are you a red concrete block.

[@the_real_bo]

@@Immadeusbeat me to it 🙁✊

[@nofVAA]

kzbin.info/www/bejne/sHmvanqGlKdmZqc

[@TheRealJeff2]

Hotel designer: so how many rooms do you want? Hilbert: yes

[@susq_345]

7:42 " u n l i m i t e d s u p p l y o f g u e s t s"

[@paulscottfilms]

why Yes?

[@TheRealJeff2]

@@paulscottfilms because yes

[@d.pickal6672]

He gonna have a hard time filling that hotel during this pandemic

[@EternalFinity]

Who the **bruh** is Hilbert lol

[@anonymousflower4537]

I wasn’t in the mood for an existential crisis today, but here we are.

[@calley7410]

I didn’t even know I was a having a existential crisis till I google the meaning of the word

[@trentacion7603]

Ikr

[@jb0579]

❤

[@bernard266]

i-it's 1:30 but I feel you

[@tirregius]

Haha! Made me contemplate what 'mood might invite and existential crisis.

[@CorruptedDust]

9 years later, I'm still watching these old Vsauce again, going to that awkward silence part, and just like an instinct: Here we go again.

[@skittles3310]

Sir, Sir excuse me, I only asked if you wanted cream in your coffee...

[@Firehandprodictions]

😂😂😂

[@extendedreal]

Lmao

[@popeyethe29th]

Or did you?

[@pranav3866]

Sauce?

[@MrChilliGaming]

Oh sorry sorry, yes i would like cream in my coffee Or do I? What even IS cream?

[@megatroid7083]

"There's endless refills, sir" Vsauce Michael:

[@dofw.mp4330]

"I can drink infinite soda. Or can I?"

[@lucas123bigman]

HERE!!!

[@weswolever7477]

Timo Dirrigl I have an infinite bladder.... ....or do I?

[@pintobean4919]

Tell that to McDonald's when dining in!

[@ultrabaltard1479]

“What happened to Amelia Earhart” “AAAAAAAAAAAAAAAAA”

[@chillingwhitenoise4903]

Literally the most big brain comment

[@vayroxayp7331]

I cant stop laughing lmao

[@betsy3096]

i think that’s what did happen

[@bartman8876]

What didnt happen "ZZZZZZZZZZZZZZZ"

[@chris-vv1nt]

Ross: "The woman just vanished!"

[@etramulnn785]

I cant believe that when i was younger i watched this video and it amazed me in so many ways, i thought about it and right now am studying it in my collage, time flies, and im happy that michael made this video that long ago, he actually inspired a lot of people, thats why i will always have high rispect for him

[@personmanthing]

“Hilbert’s Hotel can be applied to a circle.” Thats it I’m officially lost

[@friedec3622]

No, I still not lost it. The moment he said about left right on sphere is I lost it.

[@Theguywhoasked001]

I lost it when he started talking about why up down something didnt work so we had to move some parts of the sphere somewhere or something

[@TheFagerlund]

@@friedec3622 if you move you move inside a sphere because the earths atmosphere is round contrary to the earth itself that is slightly larger at the middle point if you lost it at that point you have smol brain

[@friedec3622]

@@TheFagerlund What? Does the video talking about Earth? I think it's about geometry and placement.

[@segmentsAndCurves]

@@friedec3622 smol brain ;)

[@liaml1694]

I feel like I just learned something incomprehenable

[@funnylookinrat]

Welcome to vsauce

[@a.k.alight8065]

I don’t wanna be that guy but.... one of those words was no spelled correctly

[@liaml1694]

@@a.k.alight8065 Yeah lol, I just realised that when HBPencil commented

[@samvrit]

@@a.k.alight8065 oh man the irony... You misspelled "not"

[@onionvlogs5222]

Samvrit Check Mate.

[@shailpatel3841]

*1st grade teacher*- so kids 1+1=2 *Michael in 1st grade* - umm not really see if you take a 3-D sphere and mark every point.......

[@debisz_]

@Accursed Nature but he's pretty fucking smart for understanding that lol...he lost me at "Hey Vsauce"

[@watcher190]

@Accursed Nature everything is based off of at least one small thing, so you are saying that everyone is stupid and can't do anything

[@LeadSalad99]

If you substitute the word "Michael" in the example to "person who understands this", would that make you happy? Accursed nature

[@watcher190]

@Accursed Nature i geuss i added the part where you call him stupid, but what you said was that he didn't come up with this information by himself, he just researched it and repeated the topic which he read. Im saying every piece of info is based off of something though, physicists and teachers didn't just do experiments and figure out stuff all by themselves, they go through years of schooling, so you could say they don't know anything and are just repeating what they saw in a textbook.

[@badmouserising9859]

KZbin THE SUBREDDIT IS "r/Whoooosh, jesus christ

[@CursedT04st]

vsauce videos are perfect to play in the background because it doesn't matter if you pay attention or not, you won't understand anything either way

[@Ownxer]

Everybody gangsta till Micheal says “Or can you?”

[@nixpaFPS]

Lol

[@DrexYiii]

We need 1 more like till 100

[@_Aarim]

Technically he isn't Vsauce, He's Micheal. We're Vsauce.

[@Ownxer]

When did this get 289 likes wtf

[@rell6837]

Saw this when he said it.

[@MachiriReviews]

"Sir, you need to leave. You've been eating at this buffet for 5 hours now..." Michael: "Or have I?"

[@josefArdizzola]

I'm crying lol

[@nickfontana2801]

LoL 🤔

[@juliododd860]

"In reality,i have not. You see,infinity plus one equals infinity,and as i have the right to eat an infinite amount of food,the five hours i've passed here are the same as not spending any time at all"

[@mikeschultz8380]

You go now

[@lift4life332]

You have sir, you blocked the toilet.

[@Dayemon]

"No hole will be left unfilled." Now that is something I did not expect to hear while learning about math.

[@TheFakeyCakeMaker]

In a theory by Buttock Tarski? Why ever not?

[@the_seer_0421]

( ͡° ͜ʖ ͡°)

[@MZ8UEZ]

This my friend is called MathPorn...

[@daviddow3705]

@TheFakeyCakeMaker 📸

[@johnrice1943]

9:16 yw

[@RockTheClock247]

Every few years I come back to this video after I’ve grown up a bit to see if I understand it any more than I used to. Still working on it..

[@m65917]

1) I can't agree with part one on "countable" infinity because I think that's just a misconception. When you say "we used up all the whole numbers", what you mean is "we reached the end of the finite list of numbers" but that list is NOT finite. Thus you will never end up "lacking" numbers. This is the same as saying "even numbers" vs "integers". You are just shifting your group definition. I think you grasp the idea when you say "lets start with 0.000 and add 0, when should we start ? We can't start because there is always one left" -> exact same with the whole numbers. You cannot end, you cannot say they are countable. You could say they are "iterable", but they are not countable because the "infinite set of numbers" has no length, because length means "head" and "tail". But "tail" means "the end" and there is no end to an "infinite amount". That's like saying "start by counting the length of an infinite universe, in kilometers, then ". You could start at some point and count : 1 km, 2 km, 3 km, 4 km, ... But you will never say 'hey i've reached the end, let's proceed with the next instruction" 2) Hilbert's hotel : You can't fill an infinite number of rooms. Imagine you have N the number of rooms = infinity. Now M. Smith comes to you and books a room. So you now N = infinity - 1. This notation is absurd but let's forget it for now. Next person would do N = infinity - 2. So having no rooms left would mean that when you count 1, then 2, then 3, then 4, ... you would at some point reach "infinity" but that's not how infinity work ! Because that would mean that there is a finite amount of numbers and that you reached the end. That would mean that there is a x value that solves x+1=Infinity. That does not exist, by definition. 3) "After an infinite number of those" -> not possible, because that implies that at some point, he would say "i arrived at the finite boundary of the infinite and will now proceed to AB". 4) Again, we cannot color all points because it is infinite ... Feels like this video misses the whole point of "infinite". This is a fairly difficult concept for us to grasp as it does not appear to us in nature, but saying "oh we were iterating to the infinite and reached its finite boundary" is just a problem of definition. Would be happy to debate around this and be proved wrong.

[@Justin-qf2ih]

When Michael makes a statement then stares at the camera with a long pause. “Ah shit here we go again.”

[@johnnamkeh1290]

Or can you?

[@ericschnautz6603]

Michael playing Gta San andreas: Or do we go again?

[@karlgiese6100]

Or do we?

[@Flashisgreatfr]

haha😂😂🤣 btw thanks for 130 now lets reach 140 pls 🙏😀😀

[@unholyzeus7363]

It’s more like forget everything you think you know from doctor strange

[@giftedpotato5138]

Thanos: The universe is finite, its resources finite. Banach-Tarski has entered the chat.

[@silkeecks5047]

And about time, too!

[@yewdontnomi643]

Banach-tarski :*explained the paradox Thanos : impossible

[@faye_isc]

OSCAR!!!! THIS shit is funny af😂😂😂😂😂😂😂😂 👌👌👌👌 gg man

[@SidPil]

🔥😂🔥

[@Abracastabya]

Banach-Tarski K/D = infinity. Thanos = half of the universe/0.5 (referring to when he almost died by the hands of Thor)[haven't watched end game if it's even out, don't spoil anything for me fags lol]

[@tompowell3380]

Therapist: how did your existential crisis begin? Me: Hey Vsauce Michael here

[@glick5601]

Tom Powwell oh I thought therapist said " the rapist" lmao

[@littlebrain4482]

You're not helping.

[@trojan_otter583]

Mine started when i began existing, or was it before i was existing? Could i have known of existence before existence? Impossible. Idk where i was going with this

[@avomanavoman]

Tom Powwell z

[@Woke_detector]

Lol! Great comment!

[@y0ur198]

It feels to me like Vsauce just thinks so much different in a way we “normal” people would never think of. He thinks so different that I just cannot comprehend his videos if they weren’t explained do well.

[@angelakonan438]

Me: 'mum i just learned something new' Mum: 'what' Me: ...

[@farr2600]

Or did you? ***Vsauce theme plays***

[@cracked_nebula1479]

@@farr2600 or did he?

[@pepermint787]

I just learned how to hack chocolate

[@Insigneon]

Mum be like wtf

[@waterwolf982]

Cool pfp

[@lasanha6328]

''you can't duplicate chocolate.'' michael: *OR CAN YOU?*

[@JermaLover]

**surprised Pikachu face**

[@whyareyoustillsuscribed3722]

∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞

[@WTFAnyNameWorks]

That line got me hooked honestly

[@mattd7927]

That got the women listening

[@numaandhavoctv]

he just had to press ESC when the item appeared in his hotbar

[@Ella-s8l]

A lot of people are having trouble trying to figure out what is being elaborated in this video. I think I got it. Without literally saying what Vsauce is saying. If you take that sphere and you make every infinite move with the up, down, left, right motion whilst always giving it a left or a right or an upright or downward motion, It creates the whole sphere - ofcourse since its infinite. But because you add the counter rotation in the end (up/down - down/up - left/right - right/left etc) and since you never made a counter rotation before since you always made that left or right rotation at the end of every posible move, it recreates the whole structure since everything stays in place but it recounters all the locations while keeping the same locations. it truly is a phenomenon. and I also think that I don't have it just quite right. But I'll have to forgive myself, Being young, tired, and stoned doesn't help. But maybe in a couple of years I will laugh at myself because I came so close on the first watch. I have no words to express how impressive I am by the video quality and how well the information was given. A legacy to stay.

[@shaileshrana7165]

Kindergarten teacher: 1+1=2 Michael: or is it?

[@heheheiamasuperstarwarrior9281]

Collage teacher: ok so class i have a question. What is 1+0? Class:*laughs* 1 Collage teacher:* pulls mask off * Michael: WRONG ITS 2 CLASS DISMISSED

[@legendarylightyagamiimmanu1821]

HEHEHE I AM A SUPASTAR WARRIOR lmao

[@CommanderSpaceDog]

Shailesh Rana o

[@aspiringcloudexpert5127]

This was actually a real problem that mathematicians faced when trying to define the foundations of mathematics.

[@SG-ix3ly]

Well, it could be IIIV or 01 or even impossible to solve...

[@vamasiya]

If aliens ever show up we need Michael on the negotiation table.

[@canuckman]

Aliens: we want 1 million dollars Micheal: but there are infinite numbers in between a million?!

[@macbrns1438]

The aliens would give up

[@FF-qj5se]

Lmaooooo best comment so far

[@jonasmangonon4237]

Vsauce : hey V- Aliens : we surrender we are now your cattle allknowing being

[@puzzlepiece2502]

MELT THEIR BRAIN

[@iphonepizza3558]

When you say "can you?" i dont sleep for 16 days

[@ScottEltringhamMusic]

Or... do you?

[@StoryfyAi]

Can you

[@StoryfyAi]

Are you

[@StoryfyAi]

Or am i

[@iphonepizza3558]

0| ( 0|

[@y0ur198]

I always feel like when I watch Vsauce videos, I just bevome stoned.

[@CosmiKazie]

Everybody gangsta till Michael says “or is it?”

[@emmersonhollenbaugh4397]

CosmiKazie legit😂

[@jupiter8711]

CosmiKazie or are they

[@input3471]

Or does he??

[@akselbentsen3683]

Everybody gangster till moon men by jake chudnow plays

[@expectopatronum3479]

🤨

[@cystock3696]

Imagine having enough brain cells to understand this.

[@Eulers_Identity]

Imagine having a brain cell.

[@Pallid3]

Lol

[@castrucciocastracani0]

@@MikeSmith-vz6nnI'm a man of taste

[@oliviaocasain9980]

You don't want them. Now all I'm going to do for the rest of the night is lay here and stress about this. You can have mine. Please take them.

[@РусланСтрашко-щ5п]

But don't think to hard because you don't have that many

[@dyjhjfrtt6607]

I just lost half of my brain cells. Just let me rotate my brain real quick to get them back.

[@henry497]

@hackbuster FR wait but you don't need those to complete your brain just infinitely replace them in your brain it's easy

[@PaperEater_]

frick actually neural cells (such as brain cells) can't regenerate like other cells can. (To my knowledge, feel free to show me otherwise :)

[@The_Glitterborne]

nah you gotta cut them first

[@maxeh9879]

That’s absolutely brilliant, I don’t think these people understood the joke...

[@codfam644]

🤣🤣🤣🤣😂😂

[@PTTO86]

I’ve come back to this several times thank you so much, I’m writing a paper on this and I’m really enjoying it, it is heavily inspired by the presentation of this video

[@NathanArundel]

Hopefully the new duplication glitch doesn’t get patched soon.

[@idioyjohnathon2054]

Ye

[@goodvibes3939]

That was a hard 9/10 math/online video game joke congratulations

[@MikeRosoftJH]

They released a patch, but I can't install it - it's incompatible with my axiom of choice. (I also heard that the patch causes a different glitch - it makes it possible to split a set into more subsets than it has elements. Anybody had the same experience?)

[@naniwho4691]

I rarely comment on a video, but you Sir made the most OnPlace gaming joke ever!

[@silkeecks5047]

Yes, I want my chocolate first!

[@rice9380]

doctor: we're still trying to find a heart for your heart surgery me: just rotate mine

[@Lukas-jq4vw]

xD super underrated

[@i_kitten_l]

Watch us one day create a machine to do the math for your heart which creates a complete separate heart. Would still be your crappy heart and you’d still need a different one though lol idk Im stoned because of this video.

[@iamme4552]

Did you learn nothing? You’d just end up with a copy of the original including whatever the problem is.

[@rice9380]

@@iamme4552 it'd still be cool tho

[@amanagarwal8666]

I Am Me you know what a joke is?

[@sk3llyb0n3zz7]

Imagine pulling up to an infinite hotel and being told “we’re full”

[@itsBLX]

yeah that would be crazy especially if it involved infinitys being bigger then other infinitys and stuff

[@user-iq7mk3gb9w]

en.wikipedia.org/wiki/Hilbert%27s_paradox_of_the_Grand_Hotel Coincedentally, your thought is similar to a mathematican who lived in the 20th century. It goes like this : If the hotel is already full, and guest (from room) 1 move to room 2, guest 2 move to room 3 and so on, every guest will have a room to move into, and somehow from a full hotel you manage to create an empty room (room 1) out of thin air. Now you have a room. Even if an infinite guest show up and the hotel is already full, guest 1 can move to room 2, guest 2 to room 4, guest 3 to room 6, guest n to room 2n. There will be an infinite number of empty room (room 1, 3, 5, ,7 ,9, etc) appeared for those new guest. But, it does not just stop there. If you host a pyramid scheme in that hotel, everybody will gain and nobody will lose their money, because there are always more people to be involved in the scheme.

[@sameerbiswas2662]

Stop copying veritasium bro

[@sk3llyb0n3zz7]

@@sameerbiswas2662 who?

[@sk3llyb0n3zz7]

@ChrisGD¹³ but what if an infinite amount of people go into the hotel and then you go in

[@GDNachoo]

Every time i rewatch this video i get one more thing about it, eventually I'll crack it and I will be able to build my infinite chocolate balls factory

[@keentrasborg2566]

"No hole will be left unfilled." - Michael 2015

[@rishoo9183]

Child: NO Jeffrey Epstein: YES

[@hellothere763]

😂😂 sorry but that sounds so wrong

[@alx2900]

Michael after the isolation chamber

[@morgziscutejoke5016]

*AHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH*

[@Flightsimmovies]

Hahahahah

[@eagflc]

Got to Hilbert's hotel and could only think of the logistical nightmare of moving infinite guests up a room or down a room number.

[@dj4972]

Easy, when they move up they tell the person in the room they are moving into to move into the next room, and the cycle continues.

[@Fsast9707]

@@dj4972 bold of you to assume everyone will comply

[@exumbra1399]

What a terrible customer service policy to make EVERYONE move every time a new guest arrives! 0/5 stars!

[@silaswolfe381]

Use ur PA

[@carlfeibusch9308]

Lmao service workers biggest nightmare, trying to get an infinite number of people to listen to your requests

[@joemamma9630]

Vsauce is going to accidentally split an atom with his bare hands.

[@pottypilot]

Then he'll have two.

[@virdiid8621]

@@pottypilot but then he'll split those two, and so on...

[@fetyrol7108]

@@virdiid8621 countable infinite atoms and quarks

[@hellowhoops]

Or will he?

[@dillonsainyeruult258]

Why did I laugh?

[@40watt53]

The cool thing about VSauce is that every video you can still learn new things on every rewatch. There's things you didn't notice or remember or pay attention to, there's new connections you make with things you've learned since last time, you understand more from being an older smarter person now. I've been rewatching this for 9 years and I think I've got a pretty good grasp on it now yet this video still gets me thinking. Incredible.

[@parkerellingson8608]

It's pretty impressive that you guys found such a complicated glitch, hopefully the devs don't patch it

[@EdgyWalker]

Lol

[@annxu8219]

weeeeeee its time to use it and solve world hunger

[@bagzhansadvakassov1093]

Lol that's NPE for you.

[@tux1468]

compared to paper mario badge duplication, this is nothing

[@pulanala1421]

The dev space is in a bubble everyone is a software engineer lately because they went to a three weeks boot camp 🤣 so they won't pick it up 😕

[@SilentWalker]

Teachers: The test won’t be that hard The test:

[@timothyfreeman7913]

It won't be that easy either.

[@Irishgal420]

Right😂

[@fetendo8291]

Correction: Teachers: The test won’t be that hard The test: *Video*

[@ninjachris2344]

420 likes niceeeee

[@Dougiewoof]

The test: deconstruct this test and make two tests

[@Robert_Menas]

"The Universe isn't strange... We are." I love this quote

[@saddog8087]

We are part of the universe he didn’t think about that. Vsauce: *Or did I?*

[@thecatdragon589]

Doctor strange

[@pinkmooze]

conclusion: we could duplicate the earth instead of invading mars

[@gcbird22]

Let’s just appreciate how he writes this stuff down so we can somewhat understand it

[@godofthecob1127]

I didnt realise that I understood it at all

[@AxxLAfriku]

I am the most famous man on YouTub! This is not bragging! This is the truth! The truth will set you free, dear du

[@balls3953]

@@AxxLAfriku no

[@steveclem7873]

Undestine,encx!

[@steveclem7873]

IfYoozDid...

[@TrueStrike0_0]

How did we go from chocolate to defining the universe

[@peng0_266]

Ikr

[@roelofadema271]

but you dont. :0

[@TrueStrike0_0]

@@roelofadema271 what

[@YourAverageShoe]

Or did we?! Ro did we?! Or idd we?! Ro idd we?! Or ddi we!? Ro ddi we?! Im too lazy to finish.. Or am I? Ro am I? Or ma I? Ro ma I? Or am ?I Ro am ?I Or Ma ?I Ro Ma ?I

[@MalteX]

Welcome to Vsauce

[@pinkmooze]

he explained this clearly in the same amount of time it would take to watch the average anime episode.

[@donjour69]

I may need to watch this an infinite amount of times to understand

[@jordanwills9739]

I watch vsauce when I go to bed every night, I’ve never taken in the information and I don’t really care if I ever do, but I do enjoy his voice as I drift off

[@mikeyg2969]

Jordan Wills 🤣

[@IChIDH]

Nothing to understand, it's intellectual masturbation..

[@2.SPIRITED]

So you will never be able, to understand this fully

[@jordanwills9739]

@@2.SPIRITED I could, but if I paid attention then I would get bored of listening to it during the night

[@mertoj1536]

The Hilberts hotel must be the worst hotel if they shift your room all the time

[@ericdew2021]

Get an odd-numbered room, and demand that they shift only the even ones.

[@naresu]

@@ericdew2021 genius

[@darthidiot7563]

@@ericdew2021 or vice versa

[@lauravander]

If it comes with infinite continental breakfast I’d be ok with it.

[@mrbigblox6646]

Imagine going to sleep and then the hotel manager goes “Ok can you please move to room #1369206153940822018756585948524015500207591?”

[@monarchblue4280]

Start: INFINTE chocolate End: THE UNIVERSE IS A LIE AND WE ARE ALL FAKE

[@earlhollar1906]

The universe is a thought and everything that is seen or touched is Just Energy vibrating at different frequencies!

[@johnthebrave97]

we will divide until we cover the earth’s surface

[@kuliimjulischreiben]

CHOCOLATE IS NOT EVEN MY FINAL FORM

[@monarchblue4280]

@@kuliimjulischreiben I will destroy this planet in five minutes.. OR WILL I

[@boooorge101]

He’s technically just saying theoretically our world is infinitely small and that we could duplicate things if we got the technology and if it was plausible

[@Bayn_]

3:53 I just realized (like 10 watches in btw) Micheal put one half between 1 and 2 lol

[@isavenewspapers8890]

Oh my god.

[@ericsieverling3934]

When I first learned about the Banach-Tarski paradox, it made me so mad that I was completely beside myself.

[@Cl-2048]

underrated

[@YouTubeCritic]

Underrated comment ☝️

[@Raiddd__]

probably because its a useful mathematical fiction and is metaphysically impossible. Actual infinities are metaphysically impossible and violate the law of non contradiction.

[@rafaelamendoim]

​@@Raiddd__its a joke "beside myself"

[@-Equity-]

​@@Raiddd__yes the entire premise assumes infinitesmal is a thing

[@carsongraham2192]

when michael says "or can you" you know it's about to get real

[@sorinnoctis652]

every single time "my mind is about to be blown..."

[@Elvalley]

Or as is usually the case with his videos, about to get theoretical.

[@hasankh4n]

haha yup

[@nicolasboissiere]

omg yes 😂😂😂

[@isakglerupjakobsen5388]

Yeah I love it

[@meend6456]

youtube man solves world hunger by giving everyone chocolate squares (2019 colorized)

[@wrongparadoxscience1485]

Dude do you know if they are relatives? I meant Vsauce,Vsauce2,Vsauce3?

[@Stre55ed1]

And some fuckin dollar bills

[@MoreLikeCappuccino]

2015*** my dood

[@UhOhTheStoveIsOn]

2015*

[@paulminter3511]

it made my day bruh

[@43021]

currently studying the banach-tarski paradox for fun and rewatched this video, never really appreciated how informative it really is! also tysm for providing links to your sources, when i say it’s really helpful is an understatement.

[@Aiazakuni]

Me: Trys to understand what he's saying Michal: 1+1=1 Me: Yes i agree. Wait

[@aoshi9254]

Lol

[@beansntoastyt2616]

Waiting for someone to correct him/her, then someone to reply to that and incorrectly say r/whoooosh

[@jaejaesworld6702]

BeansNToastYT whhaaaaaaa.............

[@melancholicccc]

@BeansNToastYT ok then..

[@sunflu8166]

BeansNToastYT wut

[@jfidel3943]

You obviously cannot stop Michael from saying, "Or can you?", or can you?

[@nader3744]

J Fidel Yes ahhahahahhahaha

[@alyanas1029]

or can you or can you or can you or can you or can you or can you or can you or can you or can you or can you or can you or can you or can you or can you or can you or can you or can you

[@jo_nm9484]

" *Hey sir? Mr. Trump would like to know your destination* " or would he?

[@jfidel3943]

@Geo Metric Yoshi, He would OwO

[@Drekromancer]

I read this just before he said it at 1:15