The Banach-Tarski Paradox

2015 ж. 30 Шіл.
43 606 430 Рет қаралды

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Q: "What's an anagram of Banach-Tarski?"
A: "Banach-Tarski Banach-Tarski."
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Chocolate illusion video: • Video
related Numberphile videos:
sizes of infinity (includes diagonal argument): • Infinity is bigger tha...
infinity paradoxes: • Infinity Paradoxes - N...
Vi Hart on types of infinity: • How many kinds of infi...
Countable & uncountable definitions:
mathinsight.org/definition/unc...
en.wikipedia.org/wiki/Countab...
en.wikipedia.org/wiki/Uncount...
Banach-Tarski on wikipedia: en.wikipedia.org/wiki/Banach%...
Banach-Tarski proofs:
math.uchicago.edu/~may/REU2014...
www.math.hmc.edu/~su/papers.d...
people.math.umass.edu/~weston/...
Banach-Tarski explinations online:
www.irregularwebcomic.net/2339...
www.kuro5hin.org/comments/2003...
skepticsplay.blogspot.co.uk/20...
austinrochford.com/posts/2014-...
www.math.cornell.edu/~mec/Summ...
rachellevanger.com/index_files...
quibb.blogspot.co.uk/2013_03_0...
blog.computationalcomplexity.o...
geopolicraticus.wordpress.com...
dgleahy.com/p47.html
www.math.hmc.edu/funfacts/ffi...
Cayley graph animated gif: / 624202342259240960
Hilbert’s hotel on wikipedia: en.wikipedia.org/wiki/Hilbert...
types of infinity: www.xamuel.com/levels-of-infin...
set theory and quantum physics: link.springer.com/article/10.1...
LHC gif: cms.web.cern.ch/news/lhc-data-...
Zermelo-Fraenkel axioms of mathematics: mathworld.wolfram.com/Zermelo-...
Is math invented or discovered?
phys.org/news/2013-09-mathemat...
www.scientificamerican.com/art...
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Things to Make and do in the Fourth Dimension: www.amazon.com/Things-Make-Fou...
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Пікірлер
  • Chiropractor: I’m just gonna make a small adjustment. *turns 90 degrees* *accidentally duplicates spine *

    @kedapofeng8993@kedapofeng89934 жыл бұрын
    • Hah

      @dillon1012@dillon10124 жыл бұрын
    • Ok but like a Hydra

      @squid_god_supreme5795@squid_god_supreme57954 жыл бұрын
    • My mans did the shift + drag

      @Omega7321@Omega73214 жыл бұрын
    • Extra flexible

      @dti6342@dti63424 жыл бұрын
    • add bra kad add bra????

      @davidcroly7654@davidcroly76543 жыл бұрын
  • Teacher: the test wasn’t that hard The test:

    @paulcimijotti3686@paulcimijotti36864 жыл бұрын
    • Paul Cimijotti right when I read this Vsauce said “That’s not possible to do in the real world.” Lmao

      @lindseyrubenstein6028@lindseyrubenstein60284 жыл бұрын
    • Yep

      @fosin3889@fosin38894 жыл бұрын
    • Right after I read “the test” Michael asked “what is infinity” like it was question no. 1

      @Ryan-fosho@Ryan-fosho4 жыл бұрын
    • Same exact thing happened to me indie Jones lol

      @zer0kelvin511@zer0kelvin5114 жыл бұрын
    • Copied

      @ireviewyourcomments8071@ireviewyourcomments80714 жыл бұрын
  • One of my favorite hobbies is clicking on a Vsauce video and seeing how long I can keep up before my brain overheats.

    @Humble_Legend@Humble_Legend7 ай бұрын
  • Been watching this repeatedly for 8 years now and it never fails to blow me away. Peak KZhead and peak Sauce content.

    @zeroclout6306@zeroclout63065 ай бұрын
    • this is that one vsauce video i come back to like once a year and hope that this is the time i actually get it

      @tev5040@tev504020 күн бұрын
    • I watch this video again when i feel im starting to forget some of it hoping the spaced repetition affect to take place

      @notagain3732@notagain373219 күн бұрын
    • Maybe you should lay off the Sauce.

      @wet-read@wet-read3 күн бұрын
    • @@wet-read no

      @zeroclout6306@zeroclout63063 күн бұрын
  • 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

    @pisulolol@pisulolol3 жыл бұрын
    • Yep

      @BobOnSteam@BobOnSteam3 жыл бұрын
    • “You can be alive. Or can you?”

      @Nyromen@Nyromen3 жыл бұрын
    • Omg this comment is genius

      @oliviawilson4806@oliviawilson48063 жыл бұрын
    • @@oliviawilson4806 Or is it?

      @iiReTr0Z@iiReTr0Z3 жыл бұрын
    • @@iiReTr0Z or are you?

      @omega4379@omega43793 жыл бұрын
  • Michael could go clinically insane and no one would notice a difference.

    @_username@_username Жыл бұрын
    • maybe a little bit

      @lore644@lore644 Жыл бұрын
    • Already is

      @Trevor123abc@Trevor123abc Жыл бұрын
    • Same goes for all mathematicians really

      @JohnDoe-my5ip@JohnDoe-my5ip Жыл бұрын
    • 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"?

      @PeterDB90@PeterDB90 Жыл бұрын
    • Fr dude

      @pecareca6735@pecareca6735 Жыл бұрын
  • Proud to say I fully understand all of this now! It only took half a math degree but after wishing I could wrap my brain around this since high school I'm very pleased :)

    @marshm3llow467@marshm3llow4676 ай бұрын
    • thats a huge achievement! congrats!

      @divinephanes@divinephanes6 ай бұрын
    • Same! I'm revisiting this video after learning about this paradox in my functional analysis class today

      @anthropomorphicpeanut6160@anthropomorphicpeanut61605 ай бұрын
    • @@anthropomorphicpeanut6160 Isn't this part of measure theory?

      @BtuGri@BtuGri4 ай бұрын
    • Congrats bro, you are no longer a human🎉

      @Jar319@Jar3193 ай бұрын
    • We know we're grown up when Vsauce's tangents start making sense...

      @robyncore@robyncore2 ай бұрын
  • "you cannot cut up a chocolate bar and finish with more than you started with.. or can you?" I immediately grabbed a chocolate bar because I know Michael's got me

    @nicholasbradley8868@nicholasbradley88685 ай бұрын
  • 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...

    @the.slanging.thomas4038@the.slanging.thomas40384 жыл бұрын
    • Dunk Potato This is the most underrated comment on this comment section

      @blightedcrowmain8236@blightedcrowmain82364 жыл бұрын
    • 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.

      @asdasd-ho3mm@asdasd-ho3mm4 жыл бұрын
    • 😂

      @hecommentswithmyhandle1698@hecommentswithmyhandle16984 жыл бұрын
    • *vsauce music plays*

      @3ghin5@3ghin54 жыл бұрын
    • Me, an intellectual : I am cooler than you no matter what

      @youraverageasian123@youraverageasian1234 жыл бұрын
  • Gave 1 star to Hilbert's hotel on Trivago. They kept shifting our room.

    @reginaphalanges9428@reginaphalanges94283 жыл бұрын
    • Feels like I've learned everything but nothing at the same time

      @eleanorbarryjhondersey7492@eleanorbarryjhondersey74923 жыл бұрын
    • Underrated comment!

      @mdriz1353@mdriz13533 жыл бұрын
    • This comment is just a cute joke and I love it

      @peet-janissen5838@peet-janissen58383 жыл бұрын
    • @Eric Lee thanks spelling is not my strong suit

      @peet-janissen5838@peet-janissen58383 жыл бұрын
    • @@eleanorbarryjhondersey7492 I hate to be the a**hole, but that was stolen from one of the top comments.

      @madkirk7431@madkirk74313 жыл бұрын
  • the hyperwebster introduction made it all click. absolutely mindblowing.

    @TheRayneBowe@TheRayneBowe2 ай бұрын
    • There is actually a variation on the internet called library of Babel. Just search it and it can give you a string of any number of words

      @trc__@trc__2 күн бұрын
  • This video is so nostalgic to me. May very well be my favorite on all of KZhead

    @calebwashburn38@calebwashburn386 ай бұрын
    • Same bro it’s been 8 years but I still look at it sometimes and feel how mind blown I was as a nerdy kid.

      @harambe9461@harambe94616 ай бұрын
    • ​@@harambe9461did you understand this

      @muhammadkamruddin3881@muhammadkamruddin3881Ай бұрын
    • haha same, it’s a classic

      @Vertigo359@Vertigo359Күн бұрын
  • "Countable means you can count them" michael you are so wise

    @archaven7783@archaven77834 жыл бұрын
    • Or is he

      @morpher728@morpher7284 жыл бұрын
    • @@morpher728 ...Hey, wait a minute!

      @JetFalcon710@JetFalcon7104 жыл бұрын
    • Ngl he spittin striaght fax

      @HastelloyC276@HastelloyC2764 жыл бұрын
    • My name is Michael

      @michaelpartridge1381@michaelpartridge13814 жыл бұрын
    • Lmao idk why I needed this, but thanks

      @althaia8348@althaia83484 жыл бұрын
  • Cop: You’re under arrest. Micheal: *Or am I?*

    @seniorvelez7427@seniorvelez74274 жыл бұрын
    • See what you don’t understand is...

      @rjbloxham9400@rjbloxham94004 жыл бұрын
    • Nice...

      @raydiesel6251@raydiesel62514 жыл бұрын
    • Michael*

      @magnusmidjord1644@magnusmidjord16444 жыл бұрын
    • uNo ReVeRsE cArD iN a NuTsHeLl

      @bdkroyale@bdkroyale4 жыл бұрын
    • Cop: Ah shit, here we go aga- *Vsauce music plays*

      @nukeshine@nukeshine4 жыл бұрын
  • 11:32 Wow, I'm very impressed with your freehand circle drawing abilities!

    @niczim123@niczim123Ай бұрын
  • This is the first truly long-form Vsauce video. I still remember feeling that there was something different about this video when it was released 8 years ago, content-wise and format-wise. Sure enough, it was the start of long-form Vsauce.

    @suomeaboo@suomeaboo7 ай бұрын
  • you know you boutta learn some shit when michael says "or can you?" and the music starts

    @definitelynotasquid@definitelynotasquid8 жыл бұрын
    • And you see that the video is 24 minutes long xD

      @RunItsTheCat@RunItsTheCat8 жыл бұрын
    • Daniel Grosch He should put x-files music on when he says that xD

      @TheForsakedAngel@TheForsakedAngel8 жыл бұрын
    • Daniel Grosch You know that the shit is about to get real when he says "or can you?".

      @tim213455@tim2134558 жыл бұрын
    • When he says that, just know... YOU GON LEARN TODAY

      @frzferdinand72@frzferdinand728 жыл бұрын
    • 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!

      @YujiUedaFan@YujiUedaFan8 жыл бұрын
  • “countable means you can count them” is the only part i understood

    @jarvingviolin6027@jarvingviolin60273 жыл бұрын
    • same

      @memama4389@memama43893 жыл бұрын
    • ditto

      @dougb9348@dougb93483 жыл бұрын
    • :))))))

      @elinel9658@elinel96583 жыл бұрын
    • Lool

      @RickGrimes807@RickGrimes8073 жыл бұрын
    • it means there exists a bijection between the set you're looking at and N (the set of natural numbers)

      @TuddecBMW@TuddecBMW3 жыл бұрын
  • I can't think of anyone who produces content that is more worth it to watch than Michael's. So much effort and passion are put into those videos that it's a crime not to watch them. Thank you VSause for making these.

    @FBarbarian@FBarbarian4 ай бұрын
  • I could watch any Vsauce video 20 times in a row and still learn something new every time.

    @deepro2499@deepro24993 ай бұрын
  • Every time Micheal says “or can you” the universe reluctantly has to rewrites the laws of physics.

    @jeremiahnoar7504@jeremiahnoar75044 жыл бұрын
    • @@alexandramarberry1023 Or is it ?

      @velcro3105@velcro31054 жыл бұрын
    • But can you?

      @Zengo38@Zengo384 жыл бұрын
    • or can they?

      @zebedeoiiiganado9312@zebedeoiiiganado93124 жыл бұрын
    • "Ye canny change the laws of physics!" -Montgomery Scott

      @MrT8T3R@MrT8T3R4 жыл бұрын
    • Or will it 🤨

      @obiwan8972@obiwan89724 жыл бұрын
  • [At Michael's Wedding] Michael: I do. Guests: Awww Michael: Or do I? [Vsause music intensifies]

    @leonvanheerden8054@leonvanheerden80544 жыл бұрын
    • Leon Van Heerden *turns to guests* Hey VSauce, Micheal here.

      @bee-ud6zu@bee-ud6zu4 жыл бұрын
    • Lol

      @fosin3889@fosin38894 жыл бұрын
    • Haha good one. I liked that.

      @theultimatechampion154@theultimatechampion1544 жыл бұрын
    • Or did I?

      @theultimatechampion154@theultimatechampion1544 жыл бұрын
    • Legend

      @bggg9836@bggg98364 жыл бұрын
  • This is mind-blowing! It took me a while to understand all of this. Thank you for making this knowledge more accessible to everyone. I appreciate your effort. Keep going😉

    @killmaster8312@killmaster83122 ай бұрын
  • Michael's mom: Micheal its bed time Micheal: Or is it?

    @elidavarela8113@elidavarela81134 ай бұрын
  • Teachers: The test won’t be that hard The test:

    @SilentWalker@SilentWalker4 жыл бұрын
    • It won't be that easy either.

      @timothyfreeman7913@timothyfreeman79134 жыл бұрын
    • Right😂

      @Irishgal420@Irishgal4204 жыл бұрын
    • Correction: Teachers: The test won’t be that hard The test: *Video*

      @fetendo8291@fetendo82914 жыл бұрын
    • 420 likes niceeeee

      @ninjachris2344@ninjachris23444 жыл бұрын
    • The test: deconstruct this test and make two tests

      @Dougiewoof@Dougiewoof4 жыл бұрын
  • Sir, Sir excuse me, I only asked if you wanted cream in your coffee...

    @skittles3310@skittles33104 жыл бұрын
    • 😂😂😂

      @joseomarmeza8175@joseomarmeza81754 жыл бұрын
    • Lmao

      @poopfart65@poopfart654 жыл бұрын
    • Or did you?

      @popeyethe29th@popeyethe29th4 жыл бұрын
    • Sauce?

      @pranav3866@pranav38664 жыл бұрын
    • Oh sorry sorry, yes i would like cream in my coffee Or do I? What even IS cream?

      @MrChilliGaming@MrChilliGaming4 жыл бұрын
  • Man I wish Michael would be my college professor it would be so cool to grasp all these profound things directly from him in a class

    @pedrobertonhasodre5564@pedrobertonhasodre5564Ай бұрын
  • When I was a kid watching this, I was certain I could make an infinite chocolate factory.

    @natepolidoro4565@natepolidoro45657 ай бұрын
  • 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

    @thecoolestdogonearth7913@thecoolestdogonearth79132 жыл бұрын
    • *groovy music starts playing*

      @CieloDehaz@CieloDehaz2 жыл бұрын
    • I can. (Because I'll steal yours too. And Michael's, now that I think about it).

      @rodh1404@rodh14042 жыл бұрын
    • It's how Jesus duplicated bread

      @kagemushashien8394@kagemushashien83942 жыл бұрын
    • Once You know lyrics, You can't sing along! Toom aroom, pam pom pam

      @manioqalegram5396@manioqalegram53962 жыл бұрын
    • Reals are Aleph_null to power of Aleph_null

      @manioqalegram5396@manioqalegram53962 жыл бұрын
  • Michael: “Or can you?” The laws of physics: *sighs*

    @professionalgarbage2893@professionalgarbage28933 жыл бұрын
    • Ha. *Yes*

      @spikynwm4292@spikynwm42923 жыл бұрын
    • Michael written the laws of physics !

      @skoviozgamer7436@skoviozgamer74363 жыл бұрын
    • In future they will say Vsauce the god of Or can you

      @sofijagorovenko6288@sofijagorovenko62883 жыл бұрын
    • SamTheMa'am you stole this didn’t you

      @joemomma6414@joemomma64143 жыл бұрын
    • Or do they

      @ivosirakov1278@ivosirakov12783 жыл бұрын
  • I love how vsauce's videos stay nearly same as they were aswell as being just as entertaining as they were almost a decade ago.

    @dennisthenothing5139@dennisthenothing5139Ай бұрын
  • Cant stop watching it, I never get bored of listening the same explanation over and over

    @guidomuzzin9209@guidomuzzin9209Ай бұрын
  • This, is just simply how a cobblestone generator works.

    @superninjahguy@superninjahguy4 жыл бұрын
    • This is an underrated comment.

      @peterspiesz6739@peterspiesz67394 жыл бұрын
    • Facts

      @litmaaxg1782@litmaaxg17824 жыл бұрын
    • This just made my day.

      @lexruptor@lexruptor4 жыл бұрын
    • u are awesome dude

      @armironkurbalaj9343@armironkurbalaj93434 жыл бұрын
    • Lol

      @okaylow9124@okaylow91244 жыл бұрын
  • Whenever I feel like I'm smart, I come and watch this video to get rid of that nonsense

    @firaskoukene7370@firaskoukene73703 жыл бұрын
    • Ever tried watching videos about space-time??? Or astronomical physics? Lol

      @josephbauer4483@josephbauer44833 жыл бұрын
    • one 2 heist 1 cespie . = 1 despite cheeeck, while it take

      @screamsinrussian5773@screamsinrussian57733 жыл бұрын
    • Yeah ! Right ?

      @robertmetzger1753@robertmetzger17533 жыл бұрын
    • @@ragecentral2861 Not Very Nice Earthling ?

      @robertmetzger1753@robertmetzger17533 жыл бұрын
    • So What His Point! I Already Knew you cant be like Buzz Light Year and go BEYOND INFINITY !! WE ARE FINITE!!

      @robertmetzger1753@robertmetzger17533 жыл бұрын
  • *asserts the Banarch Tarski paradox on your existence and multiplies your misery infinitely*

    @adityavardhanjain@adityavardhanjain16 күн бұрын
  • I come back to this video every few months, the idea fascinates me deeply

    @hydrohomiee@hydrohomiee5 ай бұрын
  • Landlord: Alright Michael, rent is due Michael: *proceeds to explain to them why rent isn’t due until next century*

    @justakid1238@justakid12385 жыл бұрын
    • >rent is due >OR IS IT?

      @pickle3641@pickle36415 жыл бұрын
    • Krakeon “michael please you do this every month give me the money and let me see my family”

      @itsflyde@itsflyde4 жыл бұрын
    • No problem for Michael as this video has probably paid for his house -- no more rent.

      @voicemint@voicemint4 жыл бұрын
    • 😄

      @purewater3177@purewater31774 жыл бұрын
    • Like 667, saved you all from the devil.

      @PR0TEGE@PR0TEGE4 жыл бұрын
  • This is true pure mathematics. The kind that makes you feel smart, stupid and insane at the same time

    @ashtabarbor3346@ashtabarbor3346 Жыл бұрын
    • Mostly makes me angry.

      @n0denz@n0denz Жыл бұрын
    • That is the perfect way to describe it, thank you!

      @henkebenkebankpress27@henkebenkebankpress27 Жыл бұрын
    • @@n0denz 😤

      @stealthis@stealthis Жыл бұрын
    • @@stealthis 😤= 😠 + 😔 + 🙁 + 2 x 💨

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

      @Ins1gn1f1c4nt@Ins1gn1f1c4nt Жыл бұрын
  • Most KZhead videos are one time consumptions. Vsauce is that rare gem with rewatchability value.

    @morfy2581@morfy258119 сағат бұрын
  • It is truly interesting and impressive when Michael tries to guide us into some easier topics before delving into such of a beast. Can't find any other channels that can do this.

    @electroq2368@electroq23683 сағат бұрын
  • Feels like I've learned everything but nothing at the same time

    @jekimoh@jekimoh6 жыл бұрын
    • impactofredemption r/im14andthisisdeep

      @HilbertXVI@HilbertXVI6 жыл бұрын
    • That's maths for you.

      @theviniso@theviniso6 жыл бұрын
    • that's called life

      @stanleymizerski1065@stanleymizerski10656 жыл бұрын
    • Vsause? More like Vegie sause! ! !

      @maxwellli7057@maxwellli70576 жыл бұрын
    • that's why it is called paradox

      @ashleydabas7612@ashleydabas76126 жыл бұрын
  • Doctor: "You are in a mental hospital sir" Michael: "Or am i?!" Doctor: "Yes you are."

    @arsiarskila@arsiarskila Жыл бұрын
    • Micheal: disappears

      @lore644@lore644 Жыл бұрын
    • @@lore644 Stop right there, criminal scum! You have violated the laws of physics.

      @arkosilaura@arkosilaura Жыл бұрын
    • 😭😭😭

      @slikognito@slikognito Жыл бұрын
    • @@lore644 🎩🐇

      @slikognito@slikognito Жыл бұрын
    • No I’m a finite amount of time I can turn this place into a party Doctor: Yeah he’s definitely high

      @flunxyofficial@flunxyofficial Жыл бұрын
  • It is so cool coming back to this video every few years. I remember when I was in middle school and I could only keep up for a little bit, but now that I am in 3rd year pure math, and it all makes perfect sense.

    @nikoforsyth514@nikoforsyth5145 ай бұрын
  • This is extremely interesting and I can explain infinity now. Due to your experience with science, physics and mathematics, you have combined my understanding and knowledge with yours and it has created a new subscriber for you. Thank you for putting your time and effort into this video.

    @willgiles-tz8it@willgiles-tz8it6 ай бұрын
    • Explain what he explained in the video, cuz I don't get it at all

      @g_g...@g_g...5 ай бұрын
    • @@g_g... I study in my free time about things I don’t understand

      @willgiles-tz8it@willgiles-tz8it5 ай бұрын
    • @@willgiles-tz8it I guess we're in the same boat then 😂

      @g_g...@g_g...5 ай бұрын
    • Maybe you should try it 👍

      @willgiles-tz8it@willgiles-tz8it5 ай бұрын
    • @@willgiles-tz8it I like to learn random stuff too. I should try to improve my habitual skills.

      @g_g...@g_g...5 ай бұрын
  • Everybody gangsta till Micheal says “Or can you?”

    @Ownxer@Ownxer4 жыл бұрын
    • Lol

      @nixpaFPS@nixpaFPS4 жыл бұрын
    • We need 1 more like till 100

      @DrexYiii@DrexYiii4 жыл бұрын
    • Technically he isn't Vsauce, He's Micheal. We're Vsauce.

      @_Aarim@_Aarim4 жыл бұрын
    • When did this get 289 likes wtf

      @Ownxer@Ownxer4 жыл бұрын
    • Saw this when he said it.

      @rell6837@rell68374 жыл бұрын
  • So crazy that I watched this video 8 years ago while procrastinating homework and now I'm watching this today while procrastinating homework. Very nostalgic to come back to this with much more time invested in higher level maths classes and fun maths videos and actually understand the explanation Michael gives.

    @jarodlokrantz8655@jarodlokrantz86552 ай бұрын
  • This is my first Vsauce video I now see why everybody loves this bald man so much

    @emmanuela9142@emmanuela91427 ай бұрын
  • when michael says "or can you" you know it's about to get real

    @carsongraham2192@carsongraham21927 жыл бұрын
    • every single time "my mind is about to be blown..."

      @sorinnoctis652@sorinnoctis6527 жыл бұрын
    • Or as is usually the case with his videos, about to get theoretical.

      @Elvalley@Elvalley7 жыл бұрын
    • haha yup

      @hasankh4n@hasankh4n7 жыл бұрын
    • omg yes 😂😂😂

      @nicolasboissiere7328@nicolasboissiere73287 жыл бұрын
    • Yeah I love it

      @isakglerupjakobsen5388@isakglerupjakobsen53887 жыл бұрын
  • This video never fails to make me sleep. It’s really helpful with my insomnia. This is why I never actually understood the video topic.

    @Kyuubiiiiiii@Kyuubiiiiiii6 ай бұрын
  • This video is such a VSauce classic

    @gabe_1971@gabe_19712 ай бұрын
  • youtube man solves world hunger by giving everyone chocolate squares (2019 colorized)

    @meend6456@meend64564 жыл бұрын
    • Dude do you know if they are relatives? I meant Vsauce,Vsauce2,Vsauce3?

      @wrongparadoxscience1485@wrongparadoxscience14854 жыл бұрын
    • @@wrongparadoxscience1485 a mystery only god could solve..... *or is it?*

      @bdkroyale@bdkroyale4 жыл бұрын
    • And some fuckin dollar bills

      @Stre55ed1@Stre55ed14 жыл бұрын
    • 2015*** my dood

      @MoreLikeCappuccino@MoreLikeCappuccino4 жыл бұрын
    • 2015*

      @UhOhTheStoveIsOn@UhOhTheStoveIsOn4 жыл бұрын
  • you know shits about to go down when he pauses and says "or can you"

    @pinkelpie1@pinkelpie18 жыл бұрын
    • 😂

      @user-xo2ts7ob5r@user-xo2ts7ob5r8 жыл бұрын
    • LMAO

      @Sepharig@Sepharig8 жыл бұрын
    • yeah

      @karldinglasan9551@karldinglasan95518 жыл бұрын
    • You just go... "Fuck. He's off again, isn't he?" *Sighs*

      @jamestaylor1118@jamestaylor11188 жыл бұрын
    • I love that part

      @demonshaz@demonshaz8 жыл бұрын
  • - Kid: "Did you know you can you do chocolate out of nothing?" - Dad: "That's impossible, little Tommy" - Michael: **Actually...**

    @GabriTell@GabriTell22 күн бұрын
  • I’ve watched this video like 15 times over the years, and every time it’s recommended I’m intrigued

    @chambo4645@chambo46452 ай бұрын
  • Imagine having enough brain cells to understand this.

    @cystock3696@cystock36964 жыл бұрын
    • Imagine having a brain cell.

      @Eulers_Identity@Eulers_Identity4 жыл бұрын
    • Lol

      @Pallid3@Pallid34 жыл бұрын
    • @@MikeSmith-vz6nnI'm a man of taste

      @castrucciocastracani0@castrucciocastracani04 жыл бұрын
    • 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.

      @oliviaocasain9980@oliviaocasain99804 жыл бұрын
    • But don't think to hard because you don't have that many

      @user-pp1cx6zh5v@user-pp1cx6zh5v4 жыл бұрын
  • If aliens ever show up we need Michael on the negotiation table.

    @vamasiya@vamasiya5 жыл бұрын
    • Aliens: we want 1 million dollars Micheal: but there are infinite numbers in between a million?!

      @logann6615@logann66155 жыл бұрын
    • The aliens would give up

      @macbrns1438@macbrns14385 жыл бұрын
    • Lmaooooo best comment so far

      @FF-qj5se@FF-qj5se5 жыл бұрын
    • Vsauce : hey V- Aliens : we surrender we are now your cattle allknowing being

      @jonasmangonon4237@jonasmangonon42375 жыл бұрын
    • MELT THEIR BRAIN

      @puzzlepiece2502@puzzlepiece25024 жыл бұрын
  • This has to be one of my favorite vsauce videos

    @I_also_like_tally_hall@I_also_like_tally_hallАй бұрын
  • this is by far and not even a contest, his best video

    @codg3484@codg34844 ай бұрын
  • Start: Can you multiply a chocolate bar? End: The Universe is both infinite and finite.

    @error7263@error72633 жыл бұрын
    • hah when u know why theres choco trick but u cant explain

      @phoenixjamirazucena5672@phoenixjamirazucena56723 жыл бұрын
    • You don't have to be smart to get its relative point, i gues :D

      @larswalzberg8486@larswalzberg84863 жыл бұрын
    • @@larswalzberg8486 9 divided by zero is infinite :D

      @DaSilverBackz@DaSilverBackz3 жыл бұрын
    • @@phoenixjamirazucena5672 lol he spent a great deal explaining how you can make two spheres

      @darshanjain6707@darshanjain67073 жыл бұрын
    • @@larswalzberg8486 I know

      @error7263@error72633 жыл бұрын
  • The Banach-Tarski paradox is like a mathematical magic trick

    @BornConfused630@BornConfused6302 ай бұрын
  • I see this video in my reccomendations more than once a day for years. Why. I have watched it many times, but I have seen this goddamn thumbnail so many times it’s ingrained in my brain

    @cord2706@cord27062 ай бұрын
  • "No hole will be left unfilled" -Vsauce

    @vakeiniux321@vakeiniux3215 жыл бұрын
    • sounds like my honey moon

      @BermanTV@BermanTV5 жыл бұрын
    • Except the potholes in my home state!

      @arakbmt2379@arakbmt23795 жыл бұрын
    • @@arakbmt2379 Michigan?

      @kiraholzhausen9936@kiraholzhausen99365 жыл бұрын
    • The words my dad muttered on my 7th birthday party

      @bluecicada9904@bluecicada99045 жыл бұрын
    • @@arakbmt2379 sweet home Alabama?????

      @Canose@Canose5 жыл бұрын
  • Therapist: how did your existential crisis begin? Me: Hey Vsauce Michael here

    @tompowell3380@tompowell33806 жыл бұрын
    • Tom Powwell oh I thought therapist said " the rapist" lmao

      @glick5601@glick56016 жыл бұрын
    • You're not helping.

      @littlebrain4482@littlebrain44826 жыл бұрын
    • 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

      @trojan_otter583@trojan_otter5836 жыл бұрын
    • Tom Powwell z

      @avomanavoman@avomanavoman6 жыл бұрын
    • Lol! Great comment!

      @JizzoCalrissian@JizzoCalrissian6 жыл бұрын
  • Watching vsauce vids while being miserably sick is a fever sick. And i can feel my headache getting worse and worse

    @pookiewookie1837@pookiewookie1837Ай бұрын
  • The part of the definition of the hyperwebster dictionary which no one seems to state explicitly is that it is simply what happens when you use standard alphabetization on a list of every combination of letters of any (finite) length. I assumed it was something more complicated and didn't figure it out till several hours later when I decided to try reverse engineering it from the recursive description suggested by the next part of the proof. Every time I watch this video I figure out a bit more...

    @dustinsoodak8954@dustinsoodak89545 ай бұрын
  • Kindergarten teacher: 1+1=2 Michael: or is it?

    @shaileshrana7165@shaileshrana71655 жыл бұрын
    • 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

      @heheheiamasuperstarwarrior9281@heheheiamasuperstarwarrior92815 жыл бұрын
    • HEHEHE I AM A SUPASTAR WARRIOR lmao

      @legendarylightyagamiimmanu1821@legendarylightyagamiimmanu18215 жыл бұрын
    • Shailesh Rana o

      @CommanderSpaceDog@CommanderSpaceDog5 жыл бұрын
    • This was actually a real problem that mathematicians faced when trying to define the foundations of mathematics.

      @aspiringcloudexpert5127@aspiringcloudexpert51275 жыл бұрын
    • Well, it could be IIIV or 01 or even impossible to solve...

      @SG-ix3ly@SG-ix3ly5 жыл бұрын
  • 7:15 *another guest shows up Everyone in the hotel: Aw shit here we go again

    @James-nl5pr@James-nl5pr4 жыл бұрын
    • lol

      @aayushagarwal5638@aayushagarwal56384 жыл бұрын
    • That’s exactly what I was thinking lol

      @Scytr1x@Scytr1x4 жыл бұрын
    • Imagine, you will move out of your room infinite times in a day.... ow sheet

      @pambansangtanungannyo@pambansangtanungannyo4 жыл бұрын
    • Or like just give him the last or infinity+1th room which is infinity

      @fzlagges5849@fzlagges58494 жыл бұрын
    • Infinite numbers of Aw shit, here we go again

      @NicoRH-pd9ir@NicoRH-pd9ir4 жыл бұрын
  • I will come back and change my comment in 10 years

    @vaiolat1480@vaiolat14806 ай бұрын
    • 5 months in 👍

      @zuhaibzahoorx@zuhaibzahoorxАй бұрын
    • I’m here by year 8 😏

      @cjwag5@cjwag520 күн бұрын
    • Oh you are also time travelling?

      @videos_not_found@videos_not_found5 күн бұрын
    • @@videos_not_found That's aging! Not time Travelling💀

      @zuhaibzahoorx@zuhaibzahoorx5 күн бұрын
    • ​​@@zuhaibzahoorx Nevermind, young man: Row, row, row your boat Gently down the stream. Merrily, merrily, merrily. Life is but a dream.

      @videos_not_found@videos_not_found5 күн бұрын
  • One of the best videos in KZhead history

    @capanser9756@capanser97566 ай бұрын
  • Imagine pulling up to an infinite hotel and being told “we’re full”

    @sk3llyb0n3zz7@sk3llyb0n3zz72 жыл бұрын
    • yeah that would be crazy especially if it involved infinitys being bigger then other infinitys and stuff

      @itsBLX@itsBLX2 жыл бұрын
    • 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.

      @user-iq7mk3gb9w@user-iq7mk3gb9w2 жыл бұрын
    • Stop copying veritasium bro

      @sameerbiswas2662@sameerbiswas26622 жыл бұрын
    • @@sameerbiswas2662 who?

      @sk3llyb0n3zz7@sk3llyb0n3zz72 жыл бұрын
    • @ChrisGD¹³ but what if an infinite amount of people go into the hotel and then you go in

      @sk3llyb0n3zz7@sk3llyb0n3zz72 жыл бұрын
  • 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.

    @danzgalliwag@danzgalliwag2 жыл бұрын
    • Aren't those the best videos? haha

      @neilmacdonald6637@neilmacdonald6637 Жыл бұрын
    • Yep, my second coming. Still dont get it.

      @ogrim0@ogrim0 Жыл бұрын
    • 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

      @ExquisiteSquid@ExquisiteSquid Жыл бұрын
    • @@ogrim0 my 5th, and I'm still clueless

      @christallee2660@christallee2660 Жыл бұрын
    • lol

      @user-dc8sj9np9g@user-dc8sj9np9g Жыл бұрын
  • I love this video. Can't remember how many times I've watched it, but I feel like I'm getting close to understanding what he's talking about.

    @jaykerzp3643@jaykerzp36433 ай бұрын
  • That Infinity wire grid segment felt like an acid flashback for a second, the music helped 😅

    @Randomonium66@Randomonium666 ай бұрын
  • “Hilbert’s Hotel can be applied to a circle.” Thats it I’m officially lost

    @personmanthing@personmanthing2 жыл бұрын
    • No, I still not lost it. The moment he said about left right on sphere is I lost it.

      @friedec3622@friedec36222 жыл бұрын
    • 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

      @Theguywhoasked001@Theguywhoasked0012 жыл бұрын
    • @@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

      @TheFagerlund@TheFagerlund2 жыл бұрын
    • @@TheFagerlund What? Does the video talking about Earth? I think it's about geometry and placement.

      @friedec3622@friedec36222 жыл бұрын
    • @@friedec3622 smol brain ;)

      @segmentsAndCurves@segmentsAndCurves2 жыл бұрын
  • Hotel designer: so how many rooms do you want? Hilbert: yes

    @TheRealJeff2@TheRealJeff24 жыл бұрын
    • 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"

      @susq_345@susq_3454 жыл бұрын
    • why Yes?

      @paulscottfilms@paulscottfilms4 жыл бұрын
    • @@paulscottfilms because yes

      @TheRealJeff2@TheRealJeff24 жыл бұрын
    • He gonna have a hard time filling that hotel during this pandemic

      @d.pickal6672@d.pickal66724 жыл бұрын
    • Who the **bruh** is Hilbert lol

      @EternalFinity@EternalFinity4 жыл бұрын
  • Watching things like this probably made me who I am today as a math student in college.

    @natepolidoro4565@natepolidoro45657 ай бұрын
  • This is a masterpiece

    @natepolidoro4565@natepolidoro45657 ай бұрын
  • Me: 'mum i just learned something new' Mum: 'what' Me: ...

    @angelakonan438@angelakonan4383 жыл бұрын
    • Or did you? ***Vsauce theme plays***

      @farr2600@farr26003 жыл бұрын
    • @@farr2600 or did he?

      @cracked_nebula1479@cracked_nebula14793 жыл бұрын
    • I just learned how to hack chocolate

      @pepermint787@pepermint7873 жыл бұрын
    • Mum be like wtf

      @Insigneon@Insigneon3 жыл бұрын
    • Cool pfp

      @waterwolf982@waterwolf9823 жыл бұрын
  • “Countable means you can count them” Man I’m glad I skipped school and watched Vsauce today.

    @pkcaleb463@pkcaleb4634 жыл бұрын
    • pkcaleb Your 100th like your welcome 💯

      @gtrgaming6784@gtrgaming67844 жыл бұрын
    • 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

      @KibyNykraft@KibyNykraft4 жыл бұрын
    • same

      @kyrondecker9666@kyrondecker96664 жыл бұрын
    • 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

      @gggman43@gggman434 жыл бұрын
    • The only thing I understood from this vid

      @mridontknow4586@mridontknow45864 жыл бұрын
  • Bro is the type of person to be in a totally casual situation with his friends and be able to make them question every speck of reality in under 17 seconds

    @user-cu4ho6us1u@user-cu4ho6us1u4 ай бұрын
  • That's the lesser known Kerf-Tarski paradox, I believe. Or should I say, well known only to woodworkers, who make their career using that knowledge to transform shipping pallets into high priced furnishing.

    @Don.Challenger@Don.Challenger7 ай бұрын
  • When Michael makes a statement then stares at the camera with a long pause. “Ah shit here we go again.”

    @Justin-qf2ih@Justin-qf2ih3 жыл бұрын
    • Or can you?

      @johnnamkeh1290@johnnamkeh12903 жыл бұрын
    • Michael playing Gta San andreas: Or do we go again?

      @ericschnautz6603@ericschnautz66033 жыл бұрын
    • Or do we?

      @karlgiese6100@karlgiese61003 жыл бұрын
    • haha😂😂🤣 btw thanks for 130 now lets reach 140 pls 🙏😀😀

      @THINKPATH@THINKPATH2 жыл бұрын
    • It’s more like forget everything you think you know from doctor strange

      @unholyzeus7363@unholyzeus73632 жыл бұрын
  • This is the first time that I haven’t even come close to understanding what Michael is talking about. I lost him the second he started making rotations on the circle.

    @jonahb6580@jonahb65805 ай бұрын
  • Me: trying to focus on what is being explained My Brain: lmao did he just say „no hole will be left unfilled“

    @nikfs5620@nikfs56204 жыл бұрын
    • Lmao same though

      @syntheseyez3577@syntheseyez35774 жыл бұрын
    • 😂😂🙌🏼♥️

      @chandnakumar4161@chandnakumar41614 жыл бұрын
    • 😂😂😂

      @iqranoor6082@iqranoor60824 жыл бұрын
    • Graveyard That's where you belong

      @thatbird9600@thatbird96004 жыл бұрын
    • *Micheal Scott intensifies*

      @TheBehm08@TheBehm084 жыл бұрын
  • all I wanted was two bars of chocolate

    @smartaIec@smartaIec7 жыл бұрын
    • Lol same

      @angeloakley2764@angeloakley27647 жыл бұрын
    • Alec Ryan but they wouldn't give it to me!! Tell me you where quoting Suicide tendencies

      @Mike-xp8zc@Mike-xp8zc7 жыл бұрын
    • Hos Delgatoes 3344 you got me there

      @smartaIec@smartaIec7 жыл бұрын
    • Alec Ryan oh word

      @Mike-xp8zc@Mike-xp8zc7 жыл бұрын
    • you can have a countable infinity amount of chocolatebars by simply rotating the chocolate into the right

      @yves5400@yves54007 жыл бұрын
  • Michael is the science teacher we all needed

    @lukespatola1184@lukespatola11846 ай бұрын
  • i always come back to relearn it

    @RealKidNamedFinger@RealKidNamedFinger6 ай бұрын
  • Thanos: The universe is finite, its resources finite. Banach-Tarski has entered the chat.

    @giftedpotato5138@giftedpotato51384 жыл бұрын
    • And about time, too!

      @silkeecks5047@silkeecks50474 жыл бұрын
    • Banach-tarski :*explained the paradox Thanos : impossible

      @yewdontnomi643@yewdontnomi6434 жыл бұрын
    • OSCAR!!!! THIS shit is funny af😂😂😂😂😂😂😂😂 👌👌👌👌 gg man

      @faye_isc@faye_isc4 жыл бұрын
    • 🔥😂🔥

      @SidPil@SidPil4 жыл бұрын
    • 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]

      @Abracastabya@Abracastabya4 жыл бұрын
  • I've watched this like 5 times now, I'll get it eventually...

    @nickitachu9290@nickitachu92902 жыл бұрын
    • I don't think I'll ever understand this...

      @orange2894@orange28942 жыл бұрын
    • @@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

      @BurgoYT@BurgoYT2 жыл бұрын
    • It's my 6th or 7th time watching now and I just got it! :)

      @dairhat@dairhat2 жыл бұрын
    • 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.

      @arijitdubey2282@arijitdubey22822 жыл бұрын
    • lol

      @Adam_5291@Adam_52912 жыл бұрын
  • Idk how many times over my life I have to watch it before my feeble mind will grasp. I return every year or so to check

    @christianjeffreys6588@christianjeffreys658827 күн бұрын
    • Same lmao

      @CallMeThyme@CallMeThyme27 күн бұрын
  • i love this guy saying , "or can you ?"

    @lutfilloahmedov5069@lutfilloahmedov50692 ай бұрын
  • “What happened to Amelia Earhart” “AAAAAAAAAAAAAAAAA”

    @ultrabaltard1479@ultrabaltard14794 жыл бұрын
    • Literally the most big brain comment

      @chillingwhitenoise4903@chillingwhitenoise49034 жыл бұрын
    • I cant stop laughing lmao

      @vayroxayp7331@vayroxayp73314 жыл бұрын
    • i think that’s what did happen

      @betsy3096@betsy30964 жыл бұрын
    • What didnt happen "ZZZZZZZZZZZZZZZ"

      @bartman8876@bartman88764 жыл бұрын
    • Ross: "The woman just vanished!"

      @chris-vv1nt@chris-vv1nt4 жыл бұрын
  • Micheal: I mean, come on, obviously you cannot cut up a chocolate bar and rearrange the pieces into more than you started with... or can you? *proceeds to challenge my common sense*

    @Thebrebeee@Thebrebeee7 жыл бұрын
    • AYE JUNGKOOK I SEE YOUUUU

      @junehya@junehya7 жыл бұрын
    • The rule is, whenever he says "Obviously", it's somewhat followed up by him saying, "Or can..."

      @0o.anubis.o036@0o.anubis.o0367 жыл бұрын
    • ARMY

      @charlottewiltshire1838@charlottewiltshire18387 жыл бұрын
    • he didnt! all those little missing pieces in the middle adds up to the piece of chocolate removed

      @KamuiCage@KamuiCage7 жыл бұрын
    • +kamui Cage No shit Sherlock !!

      @jaykenley8677@jaykenley86777 жыл бұрын
  • Very epic Micheal

    @InfernalGarish@InfernalGarish6 ай бұрын
  • By rotating the spheres _after_ of the extraction, you are creating _new_ points, that weren't present in the initial single sphere. Then, after putting them back together these _new_ points allow you to double (or 'clone') the original sphere.

    @lowdijkstudios5523@lowdijkstudios55237 ай бұрын
    • How does rotating create new points?

      @AndresFirte@AndresFirte7 ай бұрын
  • -Michael stevens, do you take this women to be your wife -i do -... -or do i?

    @pawekrychowiak4435@pawekrychowiak44355 жыл бұрын
    • and for that i tip my fedora to you my kind "insert here what you identify as"

      @cryingkiller1179@cryingkiller11795 жыл бұрын
    • @@cryingkiller1179 *inserts: fam*

      @ReverseJuxtapose@ReverseJuxtapose5 жыл бұрын
    • Cue music*

      @Desert_guy@Desert_guy5 жыл бұрын
    • *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap**clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap**clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap**clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* 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*clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap**clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap**clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap**clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap**clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap**clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap**clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap**clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap**clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap**clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap**clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap**clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap**clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap**clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap* *clap*

      @Environs112@Environs1125 жыл бұрын
    • *vsauce music begins playing as he goes off on a tangent about the concept of marriage*

      @harryb7505@harryb75055 жыл бұрын
  • Start: INFINTE chocolate End: THE UNIVERSE IS A LIE AND WE ARE ALL FAKE

    @monarchblue4280@monarchblue42804 жыл бұрын
    • The universe is a thought and everything that is seen or touched is Just Energy vibrating at different frequencies!

      @earlhollar1906@earlhollar19064 жыл бұрын
    • we will divide until we cover the earth’s surface

      @johnthebrave97@johnthebrave974 жыл бұрын
    • CHOCOLATE IS NOT EVEN MY FINAL FORM

      @kuliimjulischreiben@kuliimjulischreiben4 жыл бұрын
    • @@kuliimjulischreiben I will destroy this planet in five minutes.. OR WILL I

      @monarchblue4280@monarchblue42804 жыл бұрын
    • 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

      @borge7403@borge74034 жыл бұрын
  • Any time “infinity” is introduced to the conversation, all bets are off.

    @obscurity3027@obscurity30276 ай бұрын
  • I'm convinced this is the video that started Michael's descent into madness

    @rnasta22@rnasta222 ай бұрын
  • "No hole will be left unfilled." Now that is something I did not expect to hear while learning about math.

    @Dayemon@Dayemon Жыл бұрын
    • In a theory by Buttock Tarski? Why ever not?

      @TheFakeyCakeMaker@TheFakeyCakeMaker Жыл бұрын
    • ( ͡° ͜ʖ ͡°)

      @the_seer_0421@the_seer_0421 Жыл бұрын
    • This my friend is called MathPorn...

      @MZ8UEZ@MZ8UEZ Жыл бұрын
    • @TheFakeyCakeMaker 📸

      @daviddow3705@daviddow3705 Жыл бұрын
    • 9:16 yw

      @johnrice1943@johnrice1943 Жыл бұрын
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