How To Count Past Infinity

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  • čas přidán 14. 05. 2024
  • Support Vsauce, your brain, Alzheimer's research, and other CZcams 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 science channels here on CZcams! www.curiositybox.com
    my twitter: @tweetsauce
    my instagram: electricpants
    Sources and links to learn more below!
    I’m very grateful to mathematician Hugh Woodin, Professor of Philosophy and Mathematics at Harvard, for taking the time on multiple occasions to discuss this topic with me and help me wrap my (finite) head around it.
    I’m also grateful to David Eisenbud, the Director of the Mathematical Sciences Research Institute (MSRI) and professor of mathematics at the University of California, Berkeley, for his help and for connecting me with Hugh Woodin.
    And of course, big thanks to Brady Haran who created the “mile of pi” seen in this video and connected me with all these mathematicians in the first place. His channel, Numberphile, is superb: / numberphile
    BOOKS related to these topics that I used:
    “The Outer Limits of Reason” by Noson S. Yanofsky: amzn.com/0262019353
    “Infinity and The Mind” by Rudy Rucker: amzn.com/0691121273
    “Roads to Infinity” by John C. Stilwell: amzn.com/1568814666
    “More Precisely: The Math You Need to Do Philosophy” by Eric Steinhart: amzn.com/1551119099
    “Satan, Cantor and Infinity: Mind-Boggling Puzzles” by Raymond M. Smullyan: amzn.com/0486470369
    classic book that helps introduce concept of axioms: “Introduction to the Foundations of Mathematics” by Raymond L. Wilder: amzn.com/0486488209
    Hugh Woodin speaking about infinity at the World Science Festival: • Infinity: The Science ...
    Names of large (finite) numbers: en.wikipedia.org/wiki/Names_o...
    Geoglyphs:
    The biggest number: goo.gl/maps/7GWcpnzo7iG2
    Fovant badges: en.wikipedia.org/wiki/Fovant_...
    Battalion Park: en.wikipedia.org/wiki/Battali...
    A mile of pi [VIDEO]: • Mile of Pi - Numberphile
    Wikipedia’s great visualization of ordinals out to omega^omega: en.wikipedia.org/wiki/File:Om...
    as seen on: en.wikipedia.org/wiki/Ordinal...
    this is also a good page about ordinals: math.wikia.com/wiki/Ordinal_Nu...
    also: www.cut-the-knot.org/WhatIs/In...
    and: en.wikipedia.org/wiki/Order_type and en.wikipedia.org/wiki/Well-order
    Axioms:
    en.wikipedia.org/wiki/Axiom
    / have_there_been_axioms...
    philosophy.stackexchange.com/q...
    www.cs.umd.edu/~gasarch/BLOGPA...
    www.cs.umd.edu/~gasarch/BLOGPA...
    THE UNREASONABLE EFFECTIVENSS OF MATHEMATICS IN THE NATURAL SCIENCES
    [PDF]: www.maths.ed.ac.uk/~aar/papers...
    en.wikipedia.org/wiki/The_Unr...
    Large Cardinal game based on 2048: cantorontheshore.blogspot.it/2...
    Other good resources:
    quibb.blogspot.com/2012/01/inf...
    plato.stanford.edu/entries/set...
    cantorsattic.info/Cantor%27s_A...
    cantorontheshore.blogspot.co.a...
    isomorphism.es/post/1078208142...
    lukepalmer.wordpress.com/2007...
    MUSIC BY:
    / jakechudnow
    www.audionetwork.com
  • Věda a technologie

Komentáře • 82K

  • @Vsauce
    @Vsauce  Před 8 lety +10567

    listen to what I say at exactly 0:40

  • @ItzKernel
    @ItzKernel Před 5 lety +32316

    -So can we count to Infinity?
    -ℵₒ

  • @AlvaroManiac1
    @AlvaroManiac1 Před 5 měsíci +542

    The seemingly random "post credits" scene was incredible.
    "Omega + one" indicates a number that is in order after the "last" of the natural numbers. Having that bit play AFTER the "end" of the video was absolutely genius and wonderfully creative.

    • @smallw1991
      @smallw1991 Před 4 měsíci +18

      Least genius vsauce moment:

    • @ShwappaJ
      @ShwappaJ Před 3 měsíci +18

      ​@@smallw1991 bro had to use Aleph Null of his I.Q. to tell us that part lol

    • @POLARTTYRTM
      @POLARTTYRTM Před 3 měsíci +12

      I always watched this video since it has been uploaded and never really noticed this aspect until I read your comment.

    • @sabhiyakhan9899
      @sabhiyakhan9899 Před 24 dny +1

      The sound ❤ what he is talking about 💀

  • @Davsennn
    @Davsennn Před 2 měsíci +370

    1:00 How to count according to Michael:
    40, 41, 42, 43, a billion, a trillion

  • @NoobHashtagPLS
    @NoobHashtagPLS Před 4 lety +15791

    9 year old me: *Infinity plus one.*

  • @vvvss-cx1vd
    @vvvss-cx1vd Před 3 lety +6755

    How to count past infinity:
    Dumb people: infinity+1
    Smart people: you can’t
    Top mathematicians: infinity+1 lmao

  • @rory704
    @rory704 Před 3 měsíci +382

    16:03 "we’re cooking now". I didn’t know people said this 7 years ago I thought that only came out last year?? How ahead of vsauce’s time was he?

    • @-SPACEBOY-
      @-SPACEBOY- Před 3 měsíci +67

      He's Omega

    • @liam78587
      @liam78587 Před 3 měsíci +12

      @@-SPACEBOY- cleverrrrrrrrrrrrrrrrr

    • @toyfreddygaming
      @toyfreddygaming Před 3 měsíci +24

      expressions related with cooking or eating have been around for quite a while, but it only now got real mainstream thanks to instagram and such. It was funny seeing michael say that tho lole.

    • @suspicioussand
      @suspicioussand Před 3 měsíci +16

      He's ω+69 years ahead of all of us

    • @vogelvogeltje
      @vogelvogeltje Před 3 měsíci +27

      😂😂 gen Z didn’t come up with “let him cook” or “we cooking now”. Your age is showing.

  • @Awais....
    @Awais.... Před 3 měsíci +111

    This video is 7 years old yet still feels like it was uploaded yesterday

    • @SnakeArtsOfficials
      @SnakeArtsOfficials Před 2 měsíci

      2017.....

    • @alexsummers691
      @alexsummers691 Před 2 měsíci

      2016* ​@@SnakeArtsOfficials 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓

    •  Před 2 měsíci

      2015* 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓@@alexsummers691

    • @tr4inwr3ck.d
      @tr4inwr3ck.d Před měsícem

      @@alexsummers691 7 years, 11 months and 22 days ago currently☝🤓
      🤫🧏🤫🧏🤫🧏🤫🧏🤫🧏🤫🧏🤫🧏🤫🧏🤫🧏🤫🧏

    • @yepyepmusic
      @yepyepmusic Před 12 dny

      Yeah right?

  • @BhanuPChauhan
    @BhanuPChauhan Před 8 lety +20451

    Never discuss infinity with a mathematician, they can go on about it forever.

  • @ScientiaFilms
    @ScientiaFilms Před 8 lety +1346

    ah finally a way to measure your mom's weight

  • @liam78587
    @liam78587 Před 3 měsíci +100

    21:00 and this is why i absolutely love and adore mathematicians they're just like me "oh this is absurd that makes no sense but yknow what let's keep going anyway let's see how far we can go"

    • @santoi
      @santoi Před 2 měsíci +1

      So true!

    • @jacobwiren8142
      @jacobwiren8142 Před měsícem +5

      "There was a point in time when we should have stopped, and we have definitely crossed that point, BUT LETS KEEP GOING ANYWAY JUST TO FIND OUT WHAT HAPPENS!"

    • @thatpoemguy2083
      @thatpoemguy2083 Před měsícem +4

      That diagram is one of my favourite parts of the vid, mostly because of the names that they've chosen. Like, what the hell is "measurable" doing all the way up there?! 😂 And just above it is strong. Just "strong". And then there's huge and almost huge, which I get the sense were discovered in that order somehow.

    • @Alwayssmiling123
      @Alwayssmiling123 Před měsícem +2

      the fun part is it's absurd but it does make sense

  • @treecko7424
    @treecko7424 Před 2 měsíci +21

    Important note about the continuum hypothesis (CH): It's not just that it's unsolved, it's actually unsolvable. CH has been shown to be logically independent from the ZFC axioms of set theory - that is, you can show that CH is not a theorem of ZFC and that the negation of CH is also not a theorem of ZFC. This is ultimately a consequence of incompleteness - any set of axioms and system of proofs must contain propositions which are neither provable or disprovable

    • @Friendly-Neighborhood-Asexual
      @Friendly-Neighborhood-Asexual Před měsícem

      Unsolvable? That's annoying

    • @GalaxPVP
      @GalaxPVP Před 11 dny +1

      what the fuck i didnt understand any of that

    • @Friendly-Neighborhood-Asexual
      @Friendly-Neighborhood-Asexual Před 11 dny

      @@GalaxPVP Basically: we know that the amount of real numbers is more than the amount of rationals and integers, but we don't know _how_ much more.

    • @andrewpinedo1883
      @andrewpinedo1883 Před 11 dny

      ⁠​⁠@@GalaxPVPThe continuum hypothesis is unsolvable because our logic and axioms are insufficient for defining the value of the power set of aleph-null.

    • @GalaxPVP
      @GalaxPVP Před 11 dny +1

      @@andrewpinedo1883 oh ok

  • @Logicalpsycho2323
    @Logicalpsycho2323 Před 5 lety +5659

    Nobody:
    Vsauce: How to taste the color 7.

    • @XenoghostTV
      @XenoghostTV Před 4 lety +75

      MMMMM TASTY

    • @madkirk7431
      @madkirk7431 Před 4 lety +52

      *_BANANA SUNDAE_*
      mr.beast reference

    • @1Squidd
      @1Squidd Před 4 lety +31

      I'm guessing strawberry

    • @katakana1
      @katakana1 Před 4 lety +43

      It tastes like synesthesia..

    • @ganaraminukshuk0
      @ganaraminukshuk0 Před 4 lety +18

      Took me a while to realise that's two different sensations and a number.

  • @GalaxyToons
    @GalaxyToons Před 2 měsíci +24

    “All we have to say is ‘Let there be Omega’, and it will be good.”
    Why does this sound like a quote from a fantasy movie lmao
    He would definitely be the cool wizard guy that guides the hero

    • @AndresFirte
      @AndresFirte Před 2 měsíci +8

      It’s a reference to The Bible, in particular the book of Genesis, about god creating stuff like light.

    • @kzeriar25
      @kzeriar25 Před měsícem +2

      @@AndresFirte that's a great fantasy book (jk)

  • @natalielewis5369
    @natalielewis5369 Před 3 měsíci +33

    Man, for some reason no matter how hard I try, I cant bring myself to stop watching. I ask myself, "When will i ever use this knowledge?" and my answer is never. But still its so entertaining to watch numbers over numbers of complexity and pretend i comepletely understand and I believe I understand too just because of his amazing teaching. Well Vsauce, you just gained another VERY big fan and subscriber. I got notifications going.

    • @yensinha
      @yensinha Před 3 měsíci +5

      I think it's because he's everything that schools aren't; fun and we actually understand his explanations

    • @jacobwiren8142
      @jacobwiren8142 Před měsícem +2

      The beauty of math is that it invents tools that we don't need now, but MAY need hundreds of years form the now.
      The mathematician Euler did some finicky math hundreds of years ago and came to the conclusion that "the sum of all real numbers" was equal to "-1/12". It was a bizarre conclusion that he threw out...
      Now whenever a computer calculates infinity, we tell it to replace it with -1/12 and it works. Euler used math to invent a computer algorithm hundreds of years before computers even existed.

    • @EthanWintersLeftHand
      @EthanWintersLeftHand Před 7 dny +1

      Nerd

  • @DanielGonzalezL
    @DanielGonzalezL Před 6 lety +3262

    "There are numbers bigger than 40.. 41.. 42.. 43..
    *A B I L L I O N*
    *A T R I L L I O N* "
    Man that escalated quickly

    • @SJNaka101
      @SJNaka101 Před 6 lety +117

      i mean, in the context of this video, those were puny jumps

    • @bernardcernea6792
      @bernardcernea6792 Před 6 lety +29

      not as fast as TREE(3)

    • @Scarlet_goose
      @Scarlet_goose Před 6 lety +2

      Daniel Gonzalez do not

    • @Scarlet_goose
      @Scarlet_goose Před 6 lety +3

      Daniel Gonzalez do not have to be able to get the Playstation the same time as the best way to get the best way to the $ 1356#585376 die , and the City of new York City new Zealand the same time as the first time in my opinion

    • @DanielGonzalezL
      @DanielGonzalezL Před 6 lety +7

      Tanroop Singh Hey, how's the schizophrenia going?

  • @wolfemooney7188
    @wolfemooney7188 Před 4 lety +1954

    40: exists
    41: I'm about to end this man's whole career

  • @skitthebagel
    @skitthebagel Před 25 dny +7

    we had dimensions in objects (e.g. 2D, 3D), and the way vsauce described infinities, i think we also found them number dimensions

  • @andreasalucci8603
    @andreasalucci8603 Před 2 měsíci +7

    I'm in tears (I exaggerated. Actually, better than in tears) and with thrills (shivers? I don't know English) each time I watch this video and the Theta is reached. Really big thanks to you, Michael, for having brought me joy, having brought me sense, after I discovered that atoms are not so tiny, galaxies not so big, the universe not so old (recent history is comparable with the history of life and Earth), that anything material is not surprising but that there are things, actual logical things (don't know how much this counts), that can go even way beyond what satisfies me, my hunger for the greatness and the epicness, and Sense. Sense of life to me is merely complexity. I discovered the magnitude if Graham's number and felt shocked. I discovered these "numbers" in the video, in respect to which Graham's is totally nothing (actually infinitesimal) just in comparison with the first one, the numeral infinite, aleph_0. I will take refuge in the ideal world. Mathematics, with its total rigor, the minimal starting points and its complexity, hasn't disappointed me much, yet.

  • @jchung0510
    @jchung0510 Před 3 lety +6999

    The largest number is “error” you can ask the calculator

  • @bryanrosa27
    @bryanrosa27 Před 4 lety +3333

    Michael: “how to count past infinity”
    6 year old me: *_infinity and one._*

  • @SARTHAK-xc9dk
    @SARTHAK-xc9dk Před měsícem +18

    00:03 Infinity is not a number, but a kind of number.
    02:41 Aleph null is a big amount, bigger than any finite amount, but we can count past it using supertask.
    05:05 Ordinal numbers are used to label an infinite collection beyond the naturals.
    07:30 The order type of sequences and different infinities explained.
    09:56 Diagonalization method creates new subsets beyond infinity
    12:20 Mathematics is based on axioms and is unreasonably effective in natural sciences
    14:53 Axiom of replacement allows construction of new ordinals without end
    17:13 The continuum hypothesis is an unsolved mystery.
    19:15 Inaccessible cardinals represent a number that cannot be reached from below.
    21:25 Infinities may exist beyond the physical realm.
    Crafted by Sarthak Naithani *i understand everything albert einstien*

  • @lubomirkubasdQw4w9WgXcQ
    @lubomirkubasdQw4w9WgXcQ Před 3 měsíci +11

    i remember, this was the first ever Vsauce video i watched, at my Grandmas house on a laptop. i came back here to say that. ok bye

  • @brualdasil2
    @brualdasil2 Před 8 lety +2939

    "Mom, Vsauce glitched my brain again!"

  • @memzlord8600
    @memzlord8600 Před 5 lety +754

    Mom: take a break
    Me: Do you even exist?

  • @XaiverXD
    @XaiverXD Před 3 měsíci +2

    I watched this video a while back. Brings back good times.

  • @TheNapoleon82
    @TheNapoleon82 Před 3 měsíci +6

    Michael, i must thank you, enytime i have a test, i watch your videos and my head suddenly starts to hurt.

  • @meestyouyouestme3753
    @meestyouyouestme3753 Před 3 lety +2232

    “I love you infinity +1.”
    “I love you 40.”
    “Damn”

  • @levithe2nd
    @levithe2nd Před 4 lety +1707

    God: how many years do you want to live?
    Queen Elizabeth II:

  • @Goblinking-ps7fs
    @Goblinking-ps7fs Před 9 dny

    This is the one that started it all for me, the first vsauce video I ever saw

  • @Jayshiver
    @Jayshiver Před 5 měsíci +3

    3:27 written out I believe that would be [((10^10^100)!)^((10^10^100)^(10^10^100))]^2 x Graham’s Number
    (Sorry if some of the parentheses were redundant)
    Graham’s number alone is so big there literally isn’t enough space in the universe to write it out in any normal algebraic capacity. Even googolplex, as gigantic as it is, can be written pretty easily as 10^10^100. Graham’s number might as well just be infinity, but if it’s multiplied by all that, it would get even MORE incomprehensibly big somehow. Even that incomprehensible number Michael named, however, might as well be 0 compared to Aleph Null, which is just the first of a number of infinite infinities which go on forever just like the cardinal numbers did before them.
    My head hurts

  • @averagejoe7472
    @averagejoe7472 Před 4 lety +4300

    Me explaining my parents that u cant pause an online game:

  • @irenejavelosa2945
    @irenejavelosa2945 Před 4 lety +1843

    This literally, physically, mentally, emotionally, spiritually, chronologically, theoretically, socially, psychologically, metaphorically, and exactly hurt my brain.

    • @Chasta1n42
      @Chasta1n42 Před 4 lety +17

      Lol same

    • @jacobbishop8067
      @jacobbishop8067 Před 4 lety +41

      Well, thank god that it wasn’t hurt literally

    • @irenejavelosa2945
      @irenejavelosa2945 Před 4 lety +44

      @@jacobbishop8067 thanks for the reminder. I forgot that.

    • @Heyejen
      @Heyejen Před 4 lety +3

      Ha

    • @hi-wu7ju
      @hi-wu7ju Před 4 lety +7

      I currently have no brain left and am still getting hurt in all those ways

  • @mr.voidroy6869
    @mr.voidroy6869 Před 3 měsíci +2

    5:00 the infinate hotel explains how an infinste hotel has infinate rooms and if they are fully booked, you can simply just move everyone down one room to open up a slot

    • @sock1
      @sock1 Před 3 měsíci

      the short infinite hotel video also explains how the infinite hotel could get full. watch that whole video.

  • @charlieborchardt2066
    @charlieborchardt2066 Před 4 měsíci +1

    I think a set of all naturals is N1 because you could divide N by N to get 1. Then 2^1 is 2. Multiply that by N again and that is N2.

  • @dam7196
    @dam7196 Před 8 lety +2832

    This confused me, then pissed me off, then made me feel so relaxed

    • @dam7196
      @dam7196 Před 8 lety +55

      +dam7196 i'm pissed again

    • @dam7196
      @dam7196 Před 8 lety +18

      +dam7196 it's so cool that we have the technology that allows for presentations like this. I'm currently studying the physics of sound (sound itself, the perception of sound, and applications to musical instruments). It would be almost impossible to do learn it with the technology only a few decades ago. this is all so crazy

    • @frisby850
      @frisby850 Před 8 lety

      +dam7196 lol

    • @johntitor1619
      @johntitor1619 Před 8 lety +12

      +dam7196 welcome to Vsauce.

    • @heners3423
      @heners3423 Před 8 lety

      +dam7196 same

  • @marcogarciamedina8933
    @marcogarciamedina8933 Před 8 lety +3053

    Vsauce videos
    Title: Is fire hot
    Answers:Yes
    Talks about birds for the rest of the video

    • @fjukinorge6278
      @fjukinorge6278 Před 8 lety +21

      fat

    • @aspebb
      @aspebb Před 8 lety +13

      So very true.

    • @insaincaldo
      @insaincaldo Před 8 lety +16

      +John Chaser At least they only waste little time and space, while others act entitled and take time to be hurtful.

    • @filipmajewski8382
      @filipmajewski8382 Před 8 lety +71

      +Marco Garcia More like
      Is fire wet?
      No... or is it?

    • @doktawhawee9870
      @doktawhawee9870 Před 8 lety +10

      +John Chaser Amazing. Hey! listen! Not everyone has to agree with you! They aren't a specific thing because of that. Imagine saying that in real life. "If you don't agree with me than you are this". That would NEVER happen! I know you didn't say this exact words, but that is the message you are giving. Please just get out of this mindset, and it may effect you in real life. And finally, comment back. I dare you. You will describe how, because I disagree with you, I am a terrible person and brain dead and retareded. But look. Think about it. It is extremely, EXTREMELY stupid! It would be like going into a court room and saying that, even if all the evidence is against a murderer: " You brain dead idiots! I think he is not guilty AND THEREFORE I AM RIGHT!" Again, that would never happen! Take a step back, and look at what you said. Same goes for the guy you were replying to! It's their opinion! DON'T call them fat for it! I swear, the youtube comment section is becoming more and MORE like DEFFOCATION!

  • @tabbairl
    @tabbairl Před 29 dny +2

    Something cool to mention is that is that there are TWO infinite sets and 0 is a transfinite gateway keeping positive/negative omega times/power/root of whatever as the same set but anyone that disagrees, I am entitled to my opinion and same for you.

  • @Shparky
    @Shparky Před měsícem +2

    I love coming back here year after year, just for the exhilarating and visceral vertigo.

  • @HyperionStudios
    @HyperionStudios Před 4 lety +3282

    "0=1"
    Yup, I've had enough of math today.

    • @HVLLOWS1999
      @HVLLOWS1999 Před 4 lety +67

      You noticed that too!

    • @DembaiVT
      @DembaiVT Před 4 lety +41

      It makes sense though!

    • @haniyasu8236
      @haniyasu8236 Před 4 lety +60

      hey now, if you consider a Field of characteristic 1, then 0 necessarily equals 1. It's just that the only field with characteristic 1 is the trivial field and well... no one actually cares about the trivial field :(

    • @sirbillius
      @sirbillius Před 4 lety +188

      So 0=1 being there is not stating that 0=1 is a true statement. The hierarchy is shown in the order of the strength of the axioms. 0=1 is at the stop because it is so strong that it is inconsistent with our rules of math and therefore anything can be explained using it because at that point everything equals each other. It isn't a true axiom that is actually accepted it's just a cap on the strength of the axioms declaring the existence of larger cardinals. All other axioms lower than it and are weaker than it and, therefore, they remain consistent with math.

    • @owengette8089
      @owengette8089 Před 4 lety +65

      Sir Billius So, is it kind of like a math black hole, where there is so much matter that the laws start to shift?

  • @lukescott6123
    @lukescott6123 Před 8 lety +909

    In high school I was telling my friend about omega and I got a detention for drawing "balls" on my paper ....

  • @Denialisaheathen
    @Denialisaheathen Před 3 měsíci +1

    There will be a finite number of atoms in the uni verse timeline there will be a practical biggest number in terms of the universe but to calculate it you would need to know 1. The approximate death date of the universe, and two the universes current size meaning that it is theoretically impossible to answer this question.

  • @keijimorita1849
    @keijimorita1849 Před 4 měsíci

    Love this so much! It's a blurring of math & myth.

  • @Khanaltai
    @Khanaltai Před 3 lety +1447

    When you look away for 1 second in class:

    • @NautsuJJR
      @NautsuJJR Před 3 lety +55

      k Im gonna try this. Im gonna look away for one second next time in my math class, and if michael isnt there youre stinky poo

    • @MintylLilGuy
      @MintylLilGuy Před 3 lety +14

      @@NautsuJJR so what happened?
      Did he appear or not

    • @JqAnimateshello
      @JqAnimateshello Před 3 lety +2

      LMAOOOOOOO THIS IS UNDERRATED

    • @MintylLilGuy
      @MintylLilGuy Před 3 lety +10

      @@NautsuJJR i've been waiting for a week for godsake DID HE APPEAR OR NOT?

    • @riymeep6708
      @riymeep6708 Před 3 lety +8

      @@MintylLilGuy It's Michael. He appears everywhere, yet also nowhere. *Or did he?*

  • @who502
    @who502 Před 3 lety +1149

    “Why didn’t you do your math test?”
    *”I don’t believe in numbers.”*

    • @speeder.x9983
      @speeder.x9983 Před 3 lety +50

      “Numbers are a hoax made by the schools to make me use a pencil! Pencils are know to kill people and they can’t fool me, you sheep”

    • @Aden068
      @Aden068 Před 3 lety +3

      @@speeder.x9983 true

    • @GoldDukes
      @GoldDukes Před 3 lety +1

      @@speeder.x9983 ummm okay XD

    • @thomasgarcia8118
      @thomasgarcia8118 Před 3 lety +2

      🙏🏽

    • @Qaptyl
      @Qaptyl Před 3 lety +3

      infinitist

  • @Fennaixelphox
    @Fennaixelphox Před 10 dny

    I like the symbolism of θ being used to represent the inaccessible cardinal. It looks like a "no" sign, but it also looks like a corrupted 8, in the same way that infinity is a sideways 8. It's also the first letter in "Thanatos", meaning "death."

  • @mihalex1999
    @mihalex1999 Před 2 měsíci +1

    I am a CS student and your content is absolutely priceless. I took a course about this subject and you helped me to understand infinity better. Complicated and interesting topic. Love your work

  • @zeuxis9169
    @zeuxis9169 Před 4 lety +2420

    Fun fact: infinity+1 is bigger than infinity.
    Source: 7 year old me arguing with my siblings

    • @thatdboyy74
      @thatdboyy74 Před 4 lety +13

      lol 😂

    • @contender5
      @contender5 Před 4 lety +28

      Hahaha I remember that “yeah infinity and one is bigger than infinity” *me arguing with my mum while I’m 8

    • @sophiegraham6174
      @sophiegraham6174 Před 4 lety +25

      Infinity+infinity b*tch

    • @caydenm1989
      @caydenm1989 Před 4 lety +29

      DOUBLE INFINITY HAS ENTERED THE CHAT

    • @ladolancea.garcia5569
      @ladolancea.garcia5569 Před 4 lety +10

      Infinity×Infinity×Infinity

  • @datonecaleb860
    @datonecaleb860 Před 4 lety +2394

    Michael: well, there's 41
    Me: ok
    Michael: then there's 42
    Me: yea
    Michael: and then 43
    Me: mhm
    Michael: a billion
    Me: now I'm not sure about this, but I think you skipped a few
    Michael: a ᵀʳᶦˡˡᶦᵒⁿ

  • @calypso0523
    @calypso0523 Před 4 měsíci +5

    3:34 that drop hits HARD

  • @501BG
    @501BG Před 5 měsíci +1

    Vsauce you were in the Australian academy of science for this video!!!

  • @donenod9991
    @donenod9991 Před 4 lety +825

    It makes sense that 40 is the biggest number. It's extra large (XL is 40 in Roman Numerals).

    • @ishantyadav5532
      @ishantyadav5532 Před 4 lety +27

      Oh man!!!!
      Then what's XXL or XXXL or XXXXL or M or.........
      omega + L :P

    • @saysikerightnow3914
      @saysikerightnow3914 Před 4 lety +6

      That's actually cool.

    • @owl1095
      @owl1095 Před 4 lety +28

      @@ishantyadav5532 There is no XXL Roman number. X means 10 and L means 50. Placing a smaller number before a bigger number means substraction, so therefore XL means 50-10=40. XXL would mean 30 by that logic, but that slot is taken by XXX, which means 10+10+10. Note that you can't put more than 3 of the same number next to each other and make things like XXXX, that's is where XL comes in place.

    • @leo17921
      @leo17921 Před 4 lety +2

      @@owl1095 roman #'s are weird like how do you write 100k without writing M 100 times

    • @gluckmac
      @gluckmac Před 4 lety +2

      Good one!

  • @thomasbryant1628
    @thomasbryant1628 Před 7 lety +1142

    Why am I so obsessed with watching videos that make my brain dissolve itself

    • @hellothere-rr7kc
      @hellothere-rr7kc Před 7 lety +6

      because of the natural occurrence of any animal having curiosity in something that interests or sparks their mind, creating a mental 'explosion'.

    • @NotisSenju
      @NotisSenju Před 7 lety +4

      Because you are a human

    • @justclosing
      @justclosing Před 7 lety +2

      I like the pictures

    • @duck3892
      @duck3892 Před 7 lety

      Notis Senju agreed

    • @robertdicke7249
      @robertdicke7249 Před 7 lety +2

      No, no, no, no, no, no, no, no.... for infinity. When I have reached the an infinite number of "No" then I will say yes to this logic.

  • @bradleyconway1124
    @bradleyconway1124 Před 11 dny

    these vids are such great background vids even though i dont understand any of it

  • @sadaharu5870
    @sadaharu5870 Před měsícem

    The video I always come back to when I think about infinity

  • @danielknorr357
    @danielknorr357 Před 8 lety +506

    If I was a teacher I would, as punishment, have students write a summary or report about this video.

    • @banana-drank5835
      @banana-drank5835 Před 8 lety

      I'll just cry

    • @Drkrelic
      @Drkrelic Před 8 lety +6

      +Mr. Dr. Sir King Swaggins The 3rd The 5th The 2nd I would totally do that. This video was interesting af.

    • @Deadlyaztec27
      @Deadlyaztec27 Před 8 lety +1

      I would make them eight a memoir on how the use of literary technique in this video to show place in the context of infinity could theoretically impact their future lives.
      This is the literary equivalent to 0^omega|2 = 1

    • @stinkee2
      @stinkee2 Před 8 lety +12

      That would be a gift.

    • @Deluxeta
      @Deluxeta Před 8 lety

      +Mr. Dr. Sir King Swaggins The 3rd The 5th The 2nd If I were a punished student I'd write a transcript.

  • @kamidesuka
    @kamidesuka Před 3 lety +2138

    waiting for myself to have a son, then I will wait for my son to say “I love you times infinity” and I pull up with the “I love you times Inaccessible Cardinal”

  • @arottenmango8505
    @arottenmango8505 Před 6 měsíci

    This might be the coolest video on CZcams

  • @stephskia
    @stephskia Před 2 lety +4751

    I’m so simple-minded that I can come back and watch old Vsauce videos and still be absolutely mind boggled as if I’m learning it for the first time

  • @zackarhino17
    @zackarhino17 Před 8 lety +2320

    This video is the only video I've seen where Michael stays on topic.

    • @iowasucks9494
      @iowasucks9494 Před 8 lety +9

      Exactly

    • @michaelmore9120
      @michaelmore9120 Před 8 lety +4

      lol

    • @NoriMori1992
      @NoriMori1992 Před 8 lety +45

      +Zachary Allard It's not the only one, though. Starting at least from "The Banach-Tarski Paradox", all of his uploads have been much more on-topic than previously. They've also been longer - consistently around 20 minutes long.

    • @mcgarbagenuggets8793
      @mcgarbagenuggets8793 Před 8 lety +5

      +NoriMori Excellent observations.

    • @NZealandese
      @NZealandese Před 8 lety +1

      ∞∞∞

  • @m.a.t.a.s
    @m.a.t.a.s Před 5 měsíci +2

    Axiom = I made it the f up
    My source: Axiom of axioms

  • @Gordon_whyiseveryhandletaken

    4:19 zoom in those numbers are actually in order idk why but it’s cool

  • @Poleily
    @Poleily Před 4 lety +677

    short answer: No
    long answer: Yes

  • @jesses.3554
    @jesses.3554 Před 8 lety +1136

    My brain broke when he said "Hey Vsauce"

    • @zacchon
      @zacchon Před 8 lety +5

      +Chiseled Knucklez This time he didn't start the video by "when do you die?", though.

    • @MK7JORGE
      @MK7JORGE Před 8 lety

      hah

    • @Hotrodd48
      @Hotrodd48 Před 8 lety +5

      My mind was blown before I even clicked the video

    • @abitofpaprika
      @abitofpaprika Před 8 lety +1

      same

    • @YostPeter
      @YostPeter Před 8 lety +5

      I had to cry in a corner 3 minutes in.

  • @user-tg8un8ms1j
    @user-tg8un8ms1j Před měsícem +1

    I like your work with your new numbers 🎉❤

  • @Vobacoach
    @Vobacoach Před 4 měsíci

    What an super-interesting video, thanks a lot!! My comment to the last thing said in this video: Humankind had created something outside this physical universe some 2.5 thousand years ago: Euklid discovered the square root of 2. Not anywhere in our physical (!) universe is there anything, that has the physical amount of the square root of two. (and many more, of course)

  • @Wolfy-hu5hy
    @Wolfy-hu5hy Před 2 lety +5284

    "I like your funny words magic man."

  • @1nf1n1tenoob8
    @1nf1n1tenoob8 Před 4 lety +724

    Therapist: So how much stress are you dealing with.
    Me:

  • @andresfriant-hm2ot
    @andresfriant-hm2ot Před 3 měsíci

    dude the end is always the best part

  • @Owen_loves_Butters
    @Owen_loves_Butters Před 2 měsíci +2

    23:19 Similarly, ω*2 is not the same as 2*ω. (2*ω is just ω)

  • @LTrains999
    @LTrains999 Před 4 lety +1550

    How to count past infinity:
    *40*

  • @Lundmunchkins2000TV
    @Lundmunchkins2000TV Před 3 lety +4180

    Mathematicians: “Now... reality can be whatever I want”

    • @csicee
      @csicee Před 3 lety +110

      math is similar to meth

    • @packediceisthebestminecraf9007
      @packediceisthebestminecraf9007 Před 3 lety +86

      @@csicee "Bro... I just saw past infinity..."

    • @aivo9941
      @aivo9941 Před 3 lety +17

      @@csicee COINCIDENCE !? I THINK NOT !!

    • @user-ib1dx4dh3n
      @user-ib1dx4dh3n Před 3 lety +9

      @@packediceisthebestminecraf9007 yeah bro it's coooool

    • @L9-7240
      @L9-7240 Před 3 lety +15

      My goals are beyond your understandings

  • @tuminhthien8074
    @tuminhthien8074 Před 6 měsíci +1

    So actually not thing bigger than infinity, just arranged differently. And to create a larger infinity we must "multiply" the two infinity together (create an infinite sequence arrangements with infinite elements in a spreadsheet format and reason that there is always an unlisted sequence arrangements). I personality don’t think we can even do that cause how can we list end less thing and arrange them end less time? Or just imagine? In fact, infinity is already INFINITE. Creating something larger than infinity is just a recognized concept that speaks to human imagination (although I think people still haven't imagined what exactly infinity is) but they still want to get over it.

  • @daniildekterev5821
    @daniildekterev5821 Před 3 měsíci

    Every time I scare myself with the grin I am having when rewatching and realising unlimited power of axioms and infinities

  • @lordbrain5263
    @lordbrain5263 Před 6 lety +714

    **opens video**
    “Ok ok numbers I understand this.”
    **a few minutes in**
    “I am confusion...”

    • @gabrieltorres6633
      @gabrieltorres6633 Před 6 lety +8

      DeathStar14 explain vsauce explain, what do you mean past infinity

    • @photonic083
      @photonic083 Před 6 lety +3

      DeathStar14 is confused!
      DeathStar14 used Death laser!
      The laser turned 180° and hit DeathStar14!
      DeathStar14 exploded!
      Wat

    • @KingSchlopus
      @KingSchlopus Před 6 lety +1

      same

    • @missystephenson8806
      @missystephenson8806 Před 6 lety +2

      So I am confusion.
      Why is THIS ONE **points to Kansas** called can-sas but THIS ONE **points to Arkansas** called ar-can-saw? AMERICA EXPLAIN

    • @somethingsomething8751
      @somethingsomething8751 Před 6 lety

      Yeah in the first 3 minutes I was totally confused. And after that I thought holy f##cking sh#t I am so f##cking dumb compared to this guy.

  • @mrdonpuz
    @mrdonpuz Před 8 lety +11580

    Video starts at ∞:∞, thank me later.

  • @hamtonvideos
    @hamtonvideos Před 2 měsíci

    He just makes me question my existence and then says "and as always... thanks for watching"

  • @navilandinator4479
    @navilandinator4479 Před 3 měsíci +2

    "What's your favorite number?"
    *proceeds to fully break down the quantum physics of þe universe*

  • @reese.6521
    @reese.6521 Před 4 lety +451

    "How much do you love your homies?"
    Me:

  • @Rx-ee3rt
    @Rx-ee3rt Před 5 lety +1458

    Nobody
    Vsauce: How to disable fall damage in real life

  • @Shsgamerz20023
    @Shsgamerz20023 Před měsícem +3

    Bro really said to infinity and BEYOND

  • @Holafishyguy5
    @Holafishyguy5 Před 8 dny

    19:04 The first apperance of a
    *legend...*

  • @MrOnlineCoder
    @MrOnlineCoder Před 4 lety +351

    "Yes, we can because it's math - not science"
    Gold

  • @Guitarfollower22
    @Guitarfollower22 Před 8 lety +2702

    Not sure if his videos make me smarter or if each video makes my brain closer to exploding.

    • @AdilKhan-px2dj
      @AdilKhan-px2dj Před 8 lety

      lol

    • @zacchon
      @zacchon Před 8 lety +5

      +Guitarfollower22 Those are the exact same thing.

    • @sam_12845
      @sam_12845 Před 8 lety +10

      Both, its the same thing

    • @abitofpaprika
      @abitofpaprika Před 8 lety +30

      I watch these because i think "wow this will make me smarter" and then i pause half way like "what is this??!"

    • @utopiawithers4669
      @utopiawithers4669 Před 8 lety +1

      xD inr

  • @ethanwhite1949
    @ethanwhite1949 Před 20 dny +1

    10:40 you just wrinkled my brain man

  • @sonnyraine3445
    @sonnyraine3445 Před 5 měsíci

    Watched this while tripping tf out, give it a try, it’ll blow your mind

  • @wusshygt9194
    @wusshygt9194 Před 4 lety +747

    What they teach in class:
    12*5
    What they ask for exam:
    (This Video)

  • @madkirk7431
    @madkirk7431 Před 4 lety +656

    teacher: the test isn't that hard
    the test:

    • @soos4719
      @soos4719 Před 4 lety

      I pretend to know the answers although I actually don't

    • @osmarfreitas8646
      @osmarfreitas8646 Před 4 lety

      Easier to understand than during class

    • @JoshuaTanzil
      @JoshuaTanzil Před 4 lety +1

      there is 666 likes!!!

  • @ultimate_aviator237
    @ultimate_aviator237 Před 3 měsíci

    Please do a video on how many numbers there are between 1 and 2

  • @alonemulti9264
    @alonemulti9264 Před měsícem

    at 11:45 i remembered the infinity hotel, and this was a WAYY BETTER WAY to explain it

  • @junncali1573
    @junncali1573 Před 5 lety +1171

    "that means that an infinite amount of people finished the race... And then, YOU did."
    :'(

  • @iyla3742
    @iyla3742 Před 5 lety +2971

    Here's how you count higher than infinity:
    *Infinity one, infinity two..*

  • @user-ce6ig1tv3k
    @user-ce6ig1tv3k Před měsícem +1

    "10-13" and "0=1" got me on the floor

  • @the-slim-tapes
    @the-slim-tapes Před 3 měsíci

    Man this is alot too learn i need to rewatch until i find the meaning

  • @coldsun1
    @coldsun1 Před 8 lety +2714

    rip brain

  • @bhudhichantawaralak7025
    @bhudhichantawaralak7025 Před 2 lety +4089

    I can’t expressed in words how enlightening this video is. When this video came out 5 years ago it literally saved me when I was in a limbo with no particular interests in anything in my first year of highschool. Now I’m in my 3rd year of undergrad majoring in mathematics and it’s not an exaggeration that’s it’s all because of this video. Thank you and I hope that a lot more people will be inspired by you.

    • @rottish4384
      @rottish4384 Před 2 lety +102

      that's really cool

    • @BryanNeer
      @BryanNeer Před 2 lety +37

      See as reality can be whatever I want

    • @orbital1337
      @orbital1337 Před 2 lety +69

      That's great! I was actually inspired to study mathematics by reading about things like the continuum hypothesis on wikipedia. Now I have a masters in math from a great university and I'm on my way to a PhD in theoretical computer science. :)

    • @ametrime4754
      @ametrime4754 Před 2 lety +5

      @@orbital1337 nicee

    • @lunakitty953
      @lunakitty953 Před 2 lety +15

      That's amazing! I just watched this today and wow it's really made me think. The fact he made it so easy to understand, it made me really think about this universe we live in.
      Or do we? 😝

  • @Baseballify
    @Baseballify Před 7 dny +3

    Vsauce should do a video on my homework so I understand it 😂

  • @user-iq1tb1du6d
    @user-iq1tb1du6d Před 2 měsíci

    Well....... At 23:00 after a day of school and terraria from 8-22 its a great video and I can understand a lot of things.

  • @andreivezeteu6077
    @andreivezeteu6077 Před 3 lety +555

    Dad:From a scale of 1 to 10, how hard did your brother hit you?
    My brother:

  • @settheray2jerry1
    @settheray2jerry1 Před 7 lety +841

    i am supposed to be doing math homework but i think this is a much better use of my time

    • @selimhassairi
      @selimhassairi Před 7 lety +5

      Exactly

    • @marcodiaz6124
      @marcodiaz6124 Před 7 lety +24

      I'm Supposed to be Doing Math but this one video Keeps confusing my Ass

    • @landynstella5977
      @landynstella5977 Před 7 lety +4

      Beastboy11x is it the mathmakingmefeelsmall27

    • @oscarpittman640
      @oscarpittman640 Před 7 lety +14

      Astro Fury you tried

    • @milky_crunch3835
      @milky_crunch3835 Před 7 lety +2

      same but i know am on a break but my teach wants me to finish a maths sheet (idk why?)