The Banach-Tarski Paradox

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Vsauce

Vsauce

8 років тому

Support Vsauce, your brain, Alzheimer's research, and other UKposts educators by joining THE CURIOSITY BOX: a seasonal delivery of viral science toys made by Vsauce! A portion of all proceeds goes to Alzheimer's research and our Inquisitive Fellowship, a program that gives money and resources directly to growing STEM channels here on UKposts! www.curiositybox.com
Q: "What's an anagram of Banach-Tarski?"
A: "Banach-Tarski Banach-Tarski."
twitter: / tweetsauce
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If you like it, you'll love this video also by Nader: • Look Closely - by Nade...
Chocolate illusion: mathandmultimedia.com/2014/07/...
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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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The Outer Limits of Reason: www.amazon.com/Outer-Limits-Re...
Why Beliefs Matter: www.amazon.com/Why-Beliefs-Mat...
Things to Make and do in the Fourth Dimension: www.amazon.com/Things-Make-Fou...
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КОМЕНТАРІ: 107 000
@reginaphalanges9428
@reginaphalanges9428 3 роки тому
Gave 1 star to Hilbert's hotel on Trivago. They kept shifting our room.
@eleanorbarryjhondersey7492
@eleanorbarryjhondersey7492 3 роки тому
Feels like I've learned everything but nothing at the same time
@mdriz1353
@mdriz1353 3 роки тому
Underrated comment!
@peet-janissen5838
@peet-janissen5838 3 роки тому
This comment is just a cute joke and I love it
@peet-janissen5838
@peet-janissen5838 3 роки тому
@Eric Lee thanks spelling is not my strong suit
@madkirk7431
@madkirk7431 3 роки тому
@@eleanorbarryjhondersey7492 I hate to be the a**hole, but that was stolen from one of the top comments.
@kedapofeng8993
@kedapofeng8993 4 роки тому
Chiropractor: I’m just gonna make a small adjustment. *turns 90 degrees* *accidentally duplicates spine *
@dillon1012
@dillon1012 4 роки тому
Hah
@squid_god_supreme5795
@squid_god_supreme5795 4 роки тому
Ok but like a Hydra
@Omega7321
@Omega7321 4 роки тому
My mans did the shift + drag
@dti6342
@dti6342 4 роки тому
Extra flexible
@davidcroly7654
@davidcroly7654 4 роки тому
add bra kad add bra????
@Humble_Legend
@Humble_Legend 7 місяців тому
One of my favorite hobbies is clicking on a Vsauce video and seeing how long I can keep up before my brain overheats.
@zeroclout6306
@zeroclout6306 5 місяців тому
Been watching this repeatedly for 8 years now and it never fails to blow me away. Peak UKposts and peak Sauce content.
@tev5040
@tev5040 25 днів тому
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
@notagain3732
@notagain3732 23 дні тому
I watch this video again when i feel im starting to forget some of it hoping the spaced repetition affect to take place
@wet-read
@wet-read 7 днів тому
Maybe you should lay off the Sauce.
@zeroclout6306
@zeroclout6306 7 днів тому
@@wet-read no
@definitelynotasquid
@definitelynotasquid 8 років тому
you know you boutta learn some shit when michael says "or can you?" and the music starts
@RunItsTheCat
@RunItsTheCat 8 років тому
And you see that the video is 24 minutes long xD
@TheForsakedAngel
@TheForsakedAngel 8 років тому
Daniel Grosch He should put x-files music on when he says that xD
@tim213455
@tim213455 8 років тому
Daniel Grosch You know that the shit is about to get real when he says "or can you?".
@frzferdinand72
@frzferdinand72 8 років тому
When he says that, just know... YOU GON LEARN TODAY
@YujiUedaFan
@YujiUedaFan 8 років тому
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!
@_username
@_username Рік тому
Michael could go clinically insane and no one would notice a difference.
@lore644
@lore644 Рік тому
maybe a little bit
@Trevor123abc
@Trevor123abc Рік тому
Already is
@JohnDoe-my5ip
@JohnDoe-my5ip Рік тому
Same goes for all mathematicians really
@PeterDB90
@PeterDB90 Рік тому
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
@pecareca6735 Рік тому
Fr dude
@marshm3llow467
@marshm3llow467 7 місяців тому
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 :)
@divinephanes
@divinephanes 6 місяців тому
thats a huge achievement! congrats!
@anthropomorphicpeanut6160
@anthropomorphicpeanut6160 5 місяців тому
Same! I'm revisiting this video after learning about this paradox in my functional analysis class today
@BtuGri
@BtuGri 4 місяці тому
@@anthropomorphicpeanut6160 Isn't this part of measure theory?
@Jar319
@Jar319 3 місяці тому
Congrats bro, you are no longer a human🎉
@robyncore
@robyncore 3 місяці тому
We know we're grown up when Vsauce's tangents start making sense...
@TheRayneBowe
@TheRayneBowe 2 місяці тому
the hyperwebster introduction made it all click. absolutely mindblowing.
@trc__
@trc__ 6 днів тому
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
@carsongraham2192
@carsongraham2192 7 років тому
when michael says "or can you" you know it's about to get real
@sorinnoctis652
@sorinnoctis652 7 років тому
every single time "my mind is about to be blown..."
@Elvalley
@Elvalley 7 років тому
Or as is usually the case with his videos, about to get theoretical.
@hasankh4n
@hasankh4n 7 років тому
haha yup
@nicolasboissiere7328
@nicolasboissiere7328 7 років тому
omg yes 😂😂😂
@isakglerupjakobsen5388
@isakglerupjakobsen5388 7 років тому
Yeah I love it
@pinkelpie1
@pinkelpie1 8 років тому
you know shits about to go down when he pauses and says "or can you"
@user-xo2ts7ob5r
@user-xo2ts7ob5r 8 років тому
😂
@Sepharig
@Sepharig 8 років тому
LMAO
@karldinglasan9551
@karldinglasan9551 8 років тому
yeah
@jamestaylor1118
@jamestaylor1118 8 років тому
You just go... "Fuck. He's off again, isn't he?" *Sighs*
@demonshaz
@demonshaz 8 років тому
I love that part
@nicholasbradley8868
@nicholasbradley8868 5 місяців тому
"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
@morfy2581
@morfy2581 4 дні тому
Most UKposts videos are one time consumptions. Vsauce is that rare gem with rewatchability value.
@archaven7783
@archaven7783 4 роки тому
"Countable means you can count them" michael you are so wise
@morpher728
@morpher728 4 роки тому
Or is he
@JetFalcon710
@JetFalcon710 4 роки тому
@@morpher728 ...Hey, wait a minute!
@HastelloyC276
@HastelloyC276 4 роки тому
Ngl he spittin striaght fax
@michaelpartridge1381
@michaelpartridge1381 4 роки тому
My name is Michael
@althaia8348
@althaia8348 4 роки тому
Lmao idk why I needed this, but thanks
@seniorvelez7427
@seniorvelez7427 4 роки тому
Cop: You’re under arrest. Micheal: *Or am I?*
@rjbloxham9400
@rjbloxham9400 4 роки тому
See what you don’t understand is...
@raydiesel6251
@raydiesel6251 4 роки тому
Nice...
@magnusmidjord1644
@magnusmidjord1644 4 роки тому
Michael*
@bdkroyale
@bdkroyale 4 роки тому
uNo ReVeRsE cArD iN a NuTsHeLl
@nukeshine
@nukeshine 4 роки тому
Cop: Ah shit, here we go aga- *Vsauce music plays*
@calebwashburn38
@calebwashburn38 6 місяців тому
This video is so nostalgic to me. May very well be my favorite on all of UKposts
@harambe9461
@harambe9461 6 місяців тому
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.
@muhammadkamruddin3881
@muhammadkamruddin3881 Місяць тому
​@@harambe9461did you understand this
@Vertigo359
@Vertigo359 5 днів тому
haha same, it’s a classic
@suomeaboo
@suomeaboo 7 місяців тому
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.
@jarvingviolin6027
@jarvingviolin6027 3 роки тому
“countable means you can count them” is the only part i understood
@memama4389
@memama4389 3 роки тому
same
@dougb9348
@dougb9348 3 роки тому
ditto
@elinel9658
@elinel9658 3 роки тому
:))))))
@RickGrimes807
@RickGrimes807 3 роки тому
Lool
@TuddecBMW
@TuddecBMW 3 роки тому
it means there exists a bijection between the set you're looking at and N (the set of natural numbers)
@paulcimijotti3686
@paulcimijotti3686 4 роки тому
Teacher: the test wasn’t that hard The test:
@lindseyrubenstein6028
@lindseyrubenstein6028 4 роки тому
Paul Cimijotti right when I read this Vsauce said “That’s not possible to do in the real world.” Lmao
@fosin3889
@fosin3889 4 роки тому
Yep
@Ryan-fosho
@Ryan-fosho 4 роки тому
Right after I read “the test” Michael asked “what is infinity” like it was question no. 1
@zer0kelvin511
@zer0kelvin511 4 роки тому
Same exact thing happened to me indie Jones lol
@ireviewyourcomments8071
@ireviewyourcomments8071 4 роки тому
Copied
@vaiolat1480
@vaiolat1480 6 місяців тому
I will come back and change my comment in 10 years
@zuhaibzahoorx
@zuhaibzahoorx Місяць тому
5 months in 👍
@cjwag5
@cjwag5 24 дні тому
I’m here by year 8 😏
@videos_not_found
@videos_not_found 10 днів тому
Oh you are also time travelling?
@zuhaibzahoorx
@zuhaibzahoorx 9 днів тому
@@videos_not_found That's aging! Not time Travelling💀
@videos_not_found
@videos_not_found 9 днів тому
​​@@zuhaibzahoorx Nevermind, young man: Row, row, row your boat Gently down the stream. Merrily, merrily, merrily. Life is but a dream.
@niczim123
@niczim123 Місяць тому
11:32 Wow, I'm very impressed with your freehand circle drawing abilities!
@pisulolol
@pisulolol 3 роки тому
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
@BobOnSteam 3 роки тому
Yep
@Nyromen
@Nyromen 3 роки тому
“You can be alive. Or can you?”
@oliviawilson4806
@oliviawilson4806 3 роки тому
Omg this comment is genius
@iiReTr0Z
@iiReTr0Z 3 роки тому
@@oliviawilson4806 Or is it?
@omega4379
@omega4379 3 роки тому
@@iiReTr0Z or are you?
@firaskoukene7370
@firaskoukene7370 3 роки тому
Whenever I feel like I'm smart, I come and watch this video to get rid of that nonsense
@josephbauer4483
@josephbauer4483 3 роки тому
Ever tried watching videos about space-time??? Or astronomical physics? Lol
@screamsinrussian5773
@screamsinrussian5773 3 роки тому
one 2 heist 1 cespie . = 1 despite cheeeck, while it take
@robertmetzger1753
@robertmetzger1753 3 роки тому
Yeah ! Right ?
@robertmetzger1753
@robertmetzger1753 3 роки тому
@@ragecentral2861 Not Very Nice Earthling ?
@robertmetzger1753
@robertmetzger1753 3 роки тому
So What His Point! I Already Knew you cant be like Buzz Light Year and go BEYOND INFINITY !! WE ARE FINITE!!
@FBarbarian
@FBarbarian 5 місяців тому
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.
@deepro2499
@deepro2499 3 місяці тому
I could watch any Vsauce video 20 times in a row and still learn something new every time.
@meend6456
@meend6456 4 роки тому
youtube man solves world hunger by giving everyone chocolate squares (2019 colorized)
@wrongparadoxscience1485
@wrongparadoxscience1485 4 роки тому
Dude do you know if they are relatives? I meant Vsauce,Vsauce2,Vsauce3?
@bdkroyale
@bdkroyale 4 роки тому
@@wrongparadoxscience1485 a mystery only god could solve..... *or is it?*
@Stre55ed1
@Stre55ed1 4 роки тому
And some fuckin dollar bills
@MoreLikeCappuccino
@MoreLikeCappuccino 4 роки тому
2015*** my dood
@UhOhTheStoveIsOn
@UhOhTheStoveIsOn 4 роки тому
2015*
@jeremiahnoar7504
@jeremiahnoar7504 4 роки тому
Every time Micheal says “or can you” the universe reluctantly has to rewrites the laws of physics.
@velcro3105
@velcro3105 4 роки тому
@@alexandramarberry1023 Or is it ?
@Zengo38
@Zengo38 4 роки тому
But can you?
@zebedeoiiiganado9312
@zebedeoiiiganado9312 4 роки тому
or can they?
@MrT8T3R
@MrT8T3R 4 роки тому
"Ye canny change the laws of physics!" -Montgomery Scott
@obiwan8972
@obiwan8972 4 роки тому
Or will it 🤨
@elidavarela8113
@elidavarela8113 4 місяці тому
Michael's mom: Micheal its bed time Micheal: Or is it?
@pedrobertonhasodre5564
@pedrobertonhasodre5564 Місяць тому
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
@thecoolestdogonearth7913
@thecoolestdogonearth7913 3 роки тому
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
@CieloDehaz 2 роки тому
*groovy music starts playing*
@rodh1404
@rodh1404 2 роки тому
I can. (Because I'll steal yours too. And Michael's, now that I think about it).
@kagemushashien8394
@kagemushashien8394 2 роки тому
It's how Jesus duplicated bread
@manioqalegram5396
@manioqalegram5396 2 роки тому
Once You know lyrics, You can't sing along! Toom aroom, pam pom pam
@manioqalegram5396
@manioqalegram5396 2 роки тому
Reals are Aleph_null to power of Aleph_null
@BornConfused630
@BornConfused630 2 місяці тому
The Banach-Tarski paradox is like a mathematical magic trick
@LegendEditz100
@LegendEditz100 6 днів тому
Bro getting frustrated by 0's at 4:20 is HILLARIOUS
@the.slanging.thomas4038
@the.slanging.thomas4038 4 роки тому
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
@blightedcrowmain8236 4 роки тому
Dunk Potato This is the most underrated comment on this comment section
@asdasd-ho3mm
@asdasd-ho3mm 4 роки тому
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
@hecommentswithmyhandle1698 4 роки тому
😂
@3ghin5
@3ghin5 4 роки тому
*vsauce music plays*
@youraverageasian123
@youraverageasian123 4 роки тому
Me, an intellectual : I am cooler than you no matter what
@skittles3310
@skittles3310 5 років тому
Sir, Sir excuse me, I only asked if you wanted cream in your coffee...
@joseomarmeza8175
@joseomarmeza8175 4 роки тому
😂😂😂
@poopfart65
@poopfart65 4 роки тому
Lmao
@popeyethe29th
@popeyethe29th 4 роки тому
Or did you?
@pranav3866
@pranav3866 4 роки тому
Sauce?
@MrChilliGaming
@MrChilliGaming 4 роки тому
Oh sorry sorry, yes i would like cream in my coffee Or do I? What even IS cream?
@dennisthenothing5139
@dennisthenothing5139 2 місяці тому
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.
@adityavardhanjain
@adityavardhanjain 20 днів тому
*asserts the Banarch Tarski paradox on your existence and multiplies your misery infinitely*
@error7263
@error7263 3 роки тому
Start: Can you multiply a chocolate bar? End: The Universe is both infinite and finite.
@phoenixjamirazucena5672
@phoenixjamirazucena5672 3 роки тому
hah when u know why theres choco trick but u cant explain
@larswalzberg8486
@larswalzberg8486 3 роки тому
You don't have to be smart to get its relative point, i gues :D
@DaSilverBackz
@DaSilverBackz 3 роки тому
@@larswalzberg8486 9 divided by zero is infinite :D
@darshanjain6707
@darshanjain6707 3 роки тому
@@phoenixjamirazucena5672 lol he spent a great deal explaining how you can make two spheres
@error7263
@error7263 3 роки тому
@@larswalzberg8486 I know
@cystock3696
@cystock3696 4 роки тому
Imagine having enough brain cells to understand this.
@Eulers_Identity
@Eulers_Identity 4 роки тому
Imagine having a brain cell.
@Pallid3
@Pallid3 4 роки тому
Lol
@castrucciocastracani0
@castrucciocastracani0 4 роки тому
@@MikeSmith-vz6nnI'm a man of taste
@oliviaocasain9980
@oliviaocasain9980 4 роки тому
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.
@user-pp1cx6zh5v
@user-pp1cx6zh5v 4 роки тому
But don't think to hard because you don't have that many
@nikoforsyth514
@nikoforsyth514 5 місяців тому
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.
@gabe_1971
@gabe_1971 2 місяці тому
This video is such a VSauce classic
@SilentWalker
@SilentWalker 4 роки тому
Teachers: The test won’t be that hard The test:
@timothyfreeman7913
@timothyfreeman7913 4 роки тому
It won't be that easy either.
@Irishgal420
@Irishgal420 4 роки тому
Right😂
@fetendo8291
@fetendo8291 4 роки тому
Correction: Teachers: The test won’t be that hard The test: *Video*
@ninjachris2344
@ninjachris2344 4 роки тому
420 likes niceeeee
@Dougiewoof
@Dougiewoof 4 роки тому
The test: deconstruct this test and make two tests
@justatest90
@justatest90 День тому
This year marks the 100th anniversary of the Banach-Tarski paper.
@yashodhanbarve3581
@yashodhanbarve3581 Місяць тому
Why does he keep calling me vsauce
@superninjahguy
@superninjahguy 4 роки тому
This, is just simply how a cobblestone generator works.
@peterspiesz6739
@peterspiesz6739 4 роки тому
This is an underrated comment.
@litmaaxg1782
@litmaaxg1782 4 роки тому
Facts
@lexruptor
@lexruptor 4 роки тому
This just made my day.
@armironkurbalaj9343
@armironkurbalaj9343 4 роки тому
u are awesome dude
@okaylow9124
@okaylow9124 4 роки тому
Lol
@ashtabarbor3346
@ashtabarbor3346 Рік тому
This is true pure mathematics. The kind that makes you feel smart, stupid and insane at the same time
@n0denz
@n0denz Рік тому
Mostly makes me angry.
@henkebenkebankpress27
@henkebenkebankpress27 Рік тому
That is the perfect way to describe it, thank you!
@stealthis
@stealthis Рік тому
@@n0denz 😤
@asheep7797
@asheep7797 Рік тому
@@stealthis 😤= 😠 + 😔 + 🙁 + 2 x 💨
@Ins1gn1f1c4nt
@Ins1gn1f1c4nt Рік тому
​@@asheep7797 Me when 1 + 1 = 2: 🥵 = 😰 + 😡 + 😊 + 😛 + 💧 Me when 1 + 1 = 1: 🤬 = 😡 + ➖ + #$!@
@KyngMark
@KyngMark 2 місяці тому
Cheat codes be like:
@electroq2368
@electroq2368 4 дні тому
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.
@James-nl5pr
@James-nl5pr 4 роки тому
7:15 *another guest shows up Everyone in the hotel: Aw shit here we go again
@aayushagarwal5638
@aayushagarwal5638 4 роки тому
lol
@Scytr1x
@Scytr1x 4 роки тому
That’s exactly what I was thinking lol
@pambansangtanungannyo
@pambansangtanungannyo 4 роки тому
Imagine, you will move out of your room infinite times in a day.... ow sheet
@fzlagges5849
@fzlagges5849 4 роки тому
Or like just give him the last or infinity+1th room which is infinity
@NicoRH-pd9ir
@NicoRH-pd9ir 4 роки тому
Infinite numbers of Aw shit, here we go again
@Cowboymeisje
@Cowboymeisje 7 років тому
I'm not staying at Hilbert's Hotel if I have to change room every time someone checks in or out.
@splommy
@splommy 7 років тому
lol
@maxyman00
@maxyman00 7 років тому
#rekt
@Delfador999
@Delfador999 7 років тому
Oh shit I think my brain imploded
@gecttakhla4249
@gecttakhla4249 7 років тому
me too...Delfador999
@MrRocketWilliam
@MrRocketWilliam 7 років тому
I wouldn't, it would take infinite time to get down
@ithinkimconfused
@ithinkimconfused 7 місяців тому
we found the infinite money glitch
@jarodlokrantz8655
@jarodlokrantz8655 2 місяці тому
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.
@TheSuperNick1134
@TheSuperNick1134 8 років тому
1:05 - 1:14 "or can you..."" Me - ...And so it begins.....
@primeninja2357
@primeninja2357 8 років тому
I love this mystery sound that comes when he asks questions like this ^^
@Yarblocosifilitico
@Yarblocosifilitico 8 років тому
Prime Ninja me too, one day they'll use it in schools
@Lyraniah
@Lyraniah 8 років тому
Deadeyes especially when it comes down to more chocolate :D
@rawstarmusic
@rawstarmusic 8 років тому
Lyraniah ...yeah I also want to know the chocolate secret. How to do it at home. Buy one bar then start move them around and consume the leftovers. A chocolate 3D printer wouldn't be so bad either, starting with a 3D printer that makes chocolate 3D printers.
@_Uhtcaru
@_Uhtcaru 8 років тому
Deadeyes *inception noise*
@professionalgarbage2893
@professionalgarbage2893 3 роки тому
Michael: “Or can you?” The laws of physics: *sighs*
@spikynwm4292
@spikynwm4292 3 роки тому
Ha. *Yes*
@skoviozgamer7436
@skoviozgamer7436 3 роки тому
Michael written the laws of physics !
@sofijagorovenko6288
@sofijagorovenko6288 3 роки тому
In future they will say Vsauce the god of Or can you
@joemomma6414
@joemomma6414 3 роки тому
SamTheMa'am you stole this didn’t you
@ivosirakov1278
@ivosirakov1278 3 роки тому
Or do they
@hydrohomiee
@hydrohomiee 5 місяців тому
I come back to this video every few months, the idea fascinates me deeply
@josephjackson1956
@josephjackson1956 14 годин тому
I think the most applicable the Banach-Tarski paradox could be is to break down complex problems and see what is and isn’t necessary. Also maybe use an actual finite number of points to use in a more tangible way.
@justakid1238
@justakid1238 5 років тому
Landlord: Alright Michael, rent is due Michael: *proceeds to explain to them why rent isn’t due until next century*
@pickle3641
@pickle3641 5 років тому
>rent is due >OR IS IT?
@itsflyde
@itsflyde 5 років тому
Krakeon “michael please you do this every month give me the money and let me see my family”
@voicemint
@voicemint 4 роки тому
No problem for Michael as this video has probably paid for his house -- no more rent.
@purewater3177
@purewater3177 4 роки тому
😄
@PR0TEGE
@PR0TEGE 4 роки тому
Like 667, saved you all from the devil.
@smartaIec
@smartaIec 7 років тому
all I wanted was two bars of chocolate
@angeloakley2764
@angeloakley2764 7 років тому
Lol same
@Mike-xp8zc
@Mike-xp8zc 7 років тому
Alec Ryan but they wouldn't give it to me!! Tell me you where quoting Suicide tendencies
@smartaIec
@smartaIec 7 років тому
Hos Delgatoes 3344 you got me there
@Mike-xp8zc
@Mike-xp8zc 7 років тому
Alec Ryan oh word
@yves5400
@yves5400 7 років тому
you can have a countable infinity amount of chocolatebars by simply rotating the chocolate into the right
@emmanuela9142
@emmanuela9142 7 місяців тому
This is my first Vsauce video I now see why everybody loves this bald man so much
@gamerxp1887
@gamerxp1887 5 місяців тому
its 8 years later and i wonder if they have new solutions to the problem
@dekardandrew1067
@dekardandrew1067 5 місяців тому
Me too
@AndresFirte
@AndresFirte 5 місяців тому
Solutions to what problem?
@gamerxp1887
@gamerxp1887 5 місяців тому
@@AndresFirte the mathematical Problem mentioned in the Video
@AndresFirte
@AndresFirte 5 місяців тому
@@gamerxp1887 the video shows a counterintuitive theorem, but it’s not a problem. It’s solved, proven. It is called a “paradox” because it’s counterintuitive, but it is known that the theorem is completely correct
@Ownxer
@Ownxer 4 роки тому
Everybody gangsta till Micheal says “Or can you?”
@nixpaFPS
@nixpaFPS 4 роки тому
Lol
@DrexYiii
@DrexYiii 4 роки тому
We need 1 more like till 100
@_Aarim
@_Aarim 4 роки тому
Technically he isn't Vsauce, He's Micheal. We're Vsauce.
@Ownxer
@Ownxer 4 роки тому
When did this get 289 likes wtf
@rell6837
@rell6837 4 роки тому
Saw this when he said it.
@danzgalliwag
@danzgalliwag 2 роки тому
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
@neilmacdonald6637 Рік тому
Aren't those the best videos? haha
@ogrim0
@ogrim0 Рік тому
Yep, my second coming. Still dont get it.
@ExquisiteSquid
@ExquisiteSquid Рік тому
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
@christallee2660 Рік тому
@@ogrim0 my 5th, and I'm still clueless
@user-dc8sj9np9g
@user-dc8sj9np9g Рік тому
lol
@Dravignor
@Dravignor 3 дні тому
I love this video for introducing me to the complex rabbit hole that is higher-level Math
@killmaster8312
@killmaster8312 2 місяці тому
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😉
@RyanH9894
@RyanH9894 3 роки тому
I love everytime he says something and then just goes “OR IS IT”
@andromedagamerz6533
@andromedagamerz6533 3 роки тому
I hate when i stop understanding his explanation just after easily understanding the whols previous things he talked about.
@KenobiStark1
@KenobiStark1 3 роки тому
I was just about to comment this hahaha ......or was I?
@trickvro
@trickvro 3 роки тому
OR DO YOU?
@atsin7380
@atsin7380 3 роки тому
Hi Ryan I am from the future, 2021
@lightiningAc
@lightiningAc 3 роки тому
Banana man
@Thebrebeee
@Thebrebeee 7 років тому
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*
@junehya
@junehya 7 років тому
AYE JUNGKOOK I SEE YOUUUU
@0o.anubis.o036
@0o.anubis.o036 7 років тому
The rule is, whenever he says "Obviously", it's somewhat followed up by him saying, "Or can..."
@charlottewiltshire1838
@charlottewiltshire1838 7 років тому
ARMY
@KamuiCage
@KamuiCage 7 років тому
he didnt! all those little missing pieces in the middle adds up to the piece of chocolate removed
@jaykenley8677
@jaykenley8677 7 років тому
+kamui Cage No shit Sherlock !!
@tangereenclaringbold6921
@tangereenclaringbold6921 7 місяців тому
from a professor in undergrad: an anagram of "Banach-Tarski" is "Banach-Tarski Banach-Tarski"
@gamagames4311
@gamagames4311 7 днів тому
Lol idk why this has no likes
@Thesauceman-dh9qd
@Thesauceman-dh9qd 2 місяці тому
I'd imagine the guests in the hotel don't like moving rooms every day 😂
@gdragon521
@gdragon521 4 роки тому
Imagine staying at Hilbert's Hotel, and every time someone shows up, you gotta pack everything up and move down a room
@isaaccrimmins968
@isaaccrimmins968 4 роки тому
An infinite amount of people show up
@zetrian_3679
@zetrian_3679 4 роки тому
@@isaaccrimmins968 I will just f**king leave the hotel and stay the night on a park bench
@thaliapanacea964
@thaliapanacea964 4 роки тому
Definitely sounds like a Wes Anderson movie.
@mohammadhamza4059
@mohammadhamza4059 4 роки тому
@@isaaccrimmins968 watch ted ed video about infinity paradox they have answered your condition there
@jacksonpowell6687
@jacksonpowell6687 4 роки тому
Imagine the buffet of hookers
@shaileshrana7165
@shaileshrana7165 5 років тому
Kindergarten teacher: 1+1=2 Michael: or is it?
@heheheiamasuperstarwarrior9281
@heheheiamasuperstarwarrior9281 5 років тому
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
@legendarylightyagamiimmanu1821 5 років тому
HEHEHE I AM A SUPASTAR WARRIOR lmao
@CommanderSpaceDog
@CommanderSpaceDog 5 років тому
Shailesh Rana o
@aspiringcloudexpert5127
@aspiringcloudexpert5127 5 років тому
This was actually a real problem that mathematicians faced when trying to define the foundations of mathematics.
@SG-ix3ly
@SG-ix3ly 5 років тому
Well, it could be IIIV or 01 or even impossible to solve...
@maxtonhughes2629
@maxtonhughes2629 2 місяці тому
10:56 If you look here, removing the first A the second word becomes A. Therefore, we can remove that one, but then look at the third: A. So we can remove tha- ect ect. What this means is that a hyperwebster (I think that's what he called it) doesn't have to have anything, a hyperwebster... can be nothing. I've made a hyperwebster, you've made a hyperwebster, we've all made a hyperwebster...
@christianjeffreys6588
@christianjeffreys6588 Місяць тому
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
@CallMeThyme
@CallMeThyme Місяць тому
Same lmao
@shailpatel3841
@shailpatel3841 4 роки тому
*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_
@debisz_ 4 роки тому
@Accursed Nature but he's pretty fucking smart for understanding that lol...he lost me at "Hey Vsauce"
@watcher190
@watcher190 4 роки тому
@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
@LeadSalad99 4 роки тому
If you substitute the word "Michael" in the example to "person who understands this", would that make you happy? Accursed nature
@watcher190
@watcher190 4 роки тому
@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
@badmouserising9859 4 роки тому
UKposts THE SUBREDDIT IS "r/Whoooosh, jesus christ
@sk3llyb0n3zz7
@sk3llyb0n3zz7 2 роки тому
Imagine pulling up to an infinite hotel and being told “we’re full”
@itsBLX
@itsBLX 2 роки тому
yeah that would be crazy especially if it involved infinitys being bigger then other infinitys and stuff
@user-iq7mk3gb9w
@user-iq7mk3gb9w 2 роки тому
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
@sameerbiswas2662 2 роки тому
Stop copying veritasium bro
@sk3llyb0n3zz7
@sk3llyb0n3zz7 2 роки тому
@@sameerbiswas2662 who?
@sk3llyb0n3zz7
@sk3llyb0n3zz7 2 роки тому
@ChrisGD¹³ but what if an infinite amount of people go into the hotel and then you go in
@user-yk8xv7kr8r
@user-yk8xv7kr8r 7 місяців тому
I was waiting for the 😀 "or can you"🤨
@jonahb6580
@jonahb6580 5 місяців тому
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.
@truestrike7952
@truestrike7952 3 роки тому
How did we go from chocolate to defining the universe
@peng0_266
@peng0_266 3 роки тому
Ikr
@roelofadema271
@roelofadema271 3 роки тому
but you dont. :0
@truestrike7952
@truestrike7952 3 роки тому
@@roelofadema271 what
@YourAverageShoe
@YourAverageShoe 3 роки тому
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
@MalteX 3 роки тому
Welcome to Vsauce
@vamasiya
@vamasiya 5 років тому
If aliens ever show up we need Michael on the negotiation table.
@logann6615
@logann6615 5 років тому
Aliens: we want 1 million dollars Micheal: but there are infinite numbers in between a million?!
@macbrns1438
@macbrns1438 5 років тому
The aliens would give up
@FF-qj5se
@FF-qj5se 5 років тому
Lmaooooo best comment so far
@jonasmangonon4237
@jonasmangonon4237 5 років тому
Vsauce : hey V- Aliens : we surrender we are now your cattle allknowing being
@puzzlepiece2502
@puzzlepiece2502 4 роки тому
MELT THEIR BRAIN
@GabriTell
@GabriTell 26 днів тому
- Kid: "Did you know you can you do chocolate out of nothing?" - Dad: "That's impossible, little Tommy" - Michael: **Actually...**
@Uncle_mason
@Uncle_mason 4 місяці тому
i dont know what the heck ur talking about but im entertained
@leonvanheerden8054
@leonvanheerden8054 4 роки тому
[At Michael's Wedding] Michael: I do. Guests: Awww Michael: Or do I? [Vsause music intensifies]
@bee-ud6zu
@bee-ud6zu 4 роки тому
Leon Van Heerden *turns to guests* Hey VSauce, Micheal here.
@fosin3889
@fosin3889 4 роки тому
Lol
@theultimatechampion154
@theultimatechampion154 4 роки тому
Haha good one. I liked that.
@theultimatechampion154
@theultimatechampion154 4 роки тому
Or did I?
@bggg9836
@bggg9836 4 роки тому
Legend
@obscurity3027
@obscurity3027 6 місяців тому
Any time “infinity” is introduced to the conversation, all bets are off.
@chambo4645
@chambo4645 2 місяці тому
I’ve watched this video like 15 times over the years, and every time it’s recommended I’m intrigued
@jekimoh
@jekimoh 6 років тому
Feels like I've learned everything but nothing at the same time
@HilbertXVI
@HilbertXVI 6 років тому
impactofredemption r/im14andthisisdeep
@theviniso
@theviniso 6 років тому
That's maths for you.
@stanleymizerski1065
@stanleymizerski1065 6 років тому
that's called life
@maxwellli7057
@maxwellli7057 6 років тому
Vsause? More like Vegie sause! ! !
@ashleydabas7612
@ashleydabas7612 6 років тому
that's why it is called paradox
@nickitachu9290
@nickitachu9290 3 роки тому
I've watched this like 5 times now, I'll get it eventually...
@orange2894
@orange2894 2 роки тому
I don't think I'll ever understand this...
@BurgoYT
@BurgoYT 2 роки тому
@@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
@dairhat 2 роки тому
It's my 6th or 7th time watching now and I just got it! :)
@arijitdubey2282
@arijitdubey2282 2 роки тому
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
@Adam_5291 2 роки тому
lol
@l0c4lsumm3rt1m3
@l0c4lsumm3rt1m3 3 місяці тому
" Obviously you cannot cut up a chocolate bar and rearrange the pieces into more than you started with. 😀... *Or can you?* "
@willgiles-tz8it
@willgiles-tz8it 6 місяців тому
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.
@g_g...
@g_g... 5 місяців тому
Explain what he explained in the video, cuz I don't get it at all
@willgiles-tz8it
@willgiles-tz8it 5 місяців тому
@@g_g... I study in my free time about things I don’t understand
@g_g...
@g_g... 5 місяців тому
@@willgiles-tz8it I guess we're in the same boat then 😂
@willgiles-tz8it
@willgiles-tz8it 5 місяців тому
Maybe you should try it 👍
@g_g...
@g_g... 5 місяців тому
@@willgiles-tz8it I like to learn random stuff too. I should try to improve my habitual skills.
@angelakonan438
@angelakonan438 3 роки тому
Me: 'mum i just learned something new' Mum: 'what' Me: ...
@farr2600
@farr2600 3 роки тому
Or did you? ***Vsauce theme plays***
@cracked_nebula1479
@cracked_nebula1479 3 роки тому
@@farr2600 or did he?
@pepermint787
@pepermint787 3 роки тому
I just learned how to hack chocolate
@Insigneon
@Insigneon 3 роки тому
Mum be like wtf
@waterwolf982
@waterwolf982 3 роки тому
Cool pfp
@monarchblue4280
@monarchblue4280 5 років тому
Start: INFINTE chocolate End: THE UNIVERSE IS A LIE AND WE ARE ALL FAKE
@earlhollar1906
@earlhollar1906 4 роки тому
The universe is a thought and everything that is seen or touched is Just Energy vibrating at different frequencies!
@johnthebrave97
@johnthebrave97 4 роки тому
we will divide until we cover the earth’s surface
@kuliimjulischreiben
@kuliimjulischreiben 4 роки тому
CHOCOLATE IS NOT EVEN MY FINAL FORM
@monarchblue4280
@monarchblue4280 4 роки тому
@@kuliimjulischreiben I will destroy this planet in five minutes.. OR WILL I
@borge7403
@borge7403 4 роки тому
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
@LetsGetIntoItMedia
@LetsGetIntoItMedia 2 місяці тому
When your dog sheds enough hair to make a new dog
@moldymangaming260
@moldymangaming260 3 місяці тому
Yay, I can’t wait to flex my infinite points on a sphere
@giftedpotato5138
@giftedpotato5138 4 роки тому
Thanos: The universe is finite, its resources finite. Banach-Tarski has entered the chat.
@silkeecks5047
@silkeecks5047 4 роки тому
And about time, too!
@yewdontnomi643
@yewdontnomi643 4 роки тому
Banach-tarski :*explained the paradox Thanos : impossible
@faye_isc
@faye_isc 4 роки тому
OSCAR!!!! THIS shit is funny af😂😂😂😂😂😂😂😂 👌👌👌👌 gg man
@SidPil
@SidPil 4 роки тому
🔥😂🔥
@Abracastabya
@Abracastabya 4 роки тому
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]
@vakeiniux321
@vakeiniux321 5 років тому
"No hole will be left unfilled" -Vsauce
@BermanTV
@BermanTV 5 років тому
sounds like my honey moon
@arakbmt2379
@arakbmt2379 5 років тому
Except the potholes in my home state!
@kiraholzhausen9936
@kiraholzhausen9936 5 років тому
@@arakbmt2379 Michigan?
@bluecicada9904
@bluecicada9904 5 років тому
The words my dad muttered on my 7th birthday party
@Canose
@Canose 5 років тому
@@arakbmt2379 sweet home Alabama?????
@guidomuzzin9209
@guidomuzzin9209 Місяць тому
Cant stop watching it, I never get bored of listening the same explanation over and over
@boostedrival5505
@boostedrival5505 2 місяці тому
13:48 whoa whoa Michael you better be careful what sequence you do next that’s starting to look like a certain 1940s sign right there
@MachiriReviews
@MachiriReviews 4 роки тому
"Sir, you need to leave. You've been eating at this buffet for 5 hours now..." Michael: "Or have I?"
@josefandreaardizzola5523
@josefandreaardizzola5523 4 роки тому
I'm crying lol
@nickfontana2801
@nickfontana2801 4 роки тому
LoL 🤔
@juliododd860
@juliododd860 4 роки тому
"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
@mikeschultz8380 4 роки тому
You go now
@lift4life332
@lift4life332 4 роки тому
You have sir, you blocked the toilet.
@pkcaleb463
@pkcaleb463 4 роки тому
“Countable means you can count them” Man I’m glad I skipped school and watched Vsauce today.
@gtrgaming6784
@gtrgaming6784 4 роки тому
pkcaleb Your 100th like your welcome 💯
@KibyNykraft
@KibyNykraft 4 роки тому
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
@kyrondecker9666 4 роки тому
same
@gggman43
@gggman43 4 роки тому
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
@mridontknow4586 4 роки тому
The only thing I understood from this vid
@dawright1988
@dawright1988 Місяць тому
Ok, ok. This video has been in my recommended list for like 6 years. Tonight’s the night.
@extravagantpanda7962
@extravagantpanda7962 Місяць тому
It's gonna be alright
@dawright1988
@dawright1988 Місяць тому
@@extravagantpanda7962 stay away from my back door
@Cocoforcocoapuffs
@Cocoforcocoapuffs 2 місяці тому
How is he teaching more than my teacher and making it so interesting🥲
@jonathanclark9193
@jonathanclark9193 4 роки тому
when he hits you with the "or can you"
@LOLegitimateLOLegitimate
@LOLegitimateLOLegitimate 4 роки тому
😩
@u3u36
@u3u36 4 роки тому
Me: OMG infinite chocolate
@jjef8706
@jjef8706 4 роки тому
😣😫
@lisagarcia8825
@lisagarcia8825 4 роки тому
I felt that
@tadano-kun5997
@tadano-kun5997 3 роки тому
When the music hits
@icednik
@icednik 8 днів тому
nightmare blunt rotation
@ag3ntmp339
@ag3ntmp339 4 місяці тому
A guy gotta wonder...where the fook infinity came from and what type of physics glitch created it. Sometimes i wonder if the universe itself is the glitch. But for time to exist or, even be measured and conceived.. something has to be infinite and something has to not exist at all
@knrz2562
@knrz2562 4 місяці тому
Endless we are not a glitch u just described philosophy and the nature of GOD?!.
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