How To Count Past Infinity

Поделиться
HTML-код
  • Опубликовано: 31 май 2024
  • Support Vsauce, your brain, Alzheimer's research, and other RUclips 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 RUclips! 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
  • НаукаНаука

Комментарии • 82 тыс.

  • @NoobHashtagPLS
    @NoobHashtagPLS 4 года назад +15967

    9 year old me: *Infinity plus one.*

  • @ItzKernel
    @ItzKernel 5 лет назад +32631

    -So can we count to Infinity?
    -ℵₒ

  • @AlvaroManiac1
    @AlvaroManiac1 6 месяцев назад +628

    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 4 месяца назад +21

      Least genius vsauce moment:

    • @ShwappaJ
      @ShwappaJ 4 месяца назад +22

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

    • @POLARTTYRTM
      @POLARTTYRTM 4 месяца назад +12

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

    • @sabhiyakhan9899
      @sabhiyakhan9899 Месяц назад +1

      The sound ❤ what he is talking about 💀

  • @Davsennn
    @Davsennn 3 месяца назад +485

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

  • @BhanuPChauhan
    @BhanuPChauhan 8 лет назад +20514

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

    • @GabeAF
      @GabeAF 8 лет назад +212

      W

    • @Lolcontract
      @Lolcontract 8 лет назад +643

      I see what you did there

    • @alfae7771
      @alfae7771 8 лет назад +89

      ayyy

    • @zymbia
      @zymbia 8 лет назад +21

      +The TropicDolphin K Q wat

    • @propper-g7725
      @propper-g7725 8 лет назад +67

      like a neverending argument

  • @vvvss-cx1vd
    @vvvss-cx1vd 3 года назад +6889

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

  • @treecko7424
    @treecko7424 3 месяца назад +39

    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 Месяц назад

      Unsolvable? That's annoying

    • @GalaxPVP
      @GalaxPVP 28 дней назад +1

      what the fuck i didnt understand any of that

    • @Friendly-Neighborhood-Asexual
      @Friendly-Neighborhood-Asexual 28 дней назад

      @@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 28 дней назад +1

      ⁠​⁠@@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 27 дней назад +1

      @@andrewpinedo1883 oh ok

  • @rory704
    @rory704 4 месяца назад +434

    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- 4 месяца назад +77

      He's Omega

    • @liam78587
      @liam78587 3 месяца назад +13

      @@-SPACEBOY- cleverrrrrrrrrrrrrrrrr

    • @toyfreddygaming
      @toyfreddygaming 3 месяца назад +31

      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 3 месяца назад +18

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

    • @vogelvogeltje
      @vogelvogeltje 3 месяца назад +31

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

  • @Logicalpsycho2323
    @Logicalpsycho2323 5 лет назад +5684

    Nobody:
    Vsauce: How to taste the color 7.

    • @XenoghostTV
      @XenoghostTV 5 лет назад +75

      MMMMM TASTY

    • @madkirk7431
      @madkirk7431 5 лет назад +52

      *_BANANA SUNDAE_*
      mr.beast reference

    • @1Squidd
      @1Squidd 5 лет назад +31

      I'm guessing strawberry

    • @katakana1
      @katakana1 5 лет назад +43

      It tastes like synesthesia..

    • @ganaraminukshuk0
      @ganaraminukshuk0 5 лет назад +18

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

  • @Awais....
    @Awais.... 4 месяца назад +128

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

    • @SnakeArtsOfficials
      @SnakeArtsOfficials 2 месяца назад +1

      2017.....

    • @alexsummers691
      @alexsummers691 2 месяца назад +1

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

    •  2 месяца назад

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

    • @tr4inwr3ck.d
      @tr4inwr3ck.d Месяц назад

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

    • @yepyepmusic
      @yepyepmusic 29 дней назад +1

      Yeah right?

  • @liam78587
    @liam78587 3 месяца назад +110

    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 3 месяца назад +1

      So true!

    • @jacobwiren8142
      @jacobwiren8142 2 месяца назад +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 Месяц назад +5

      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 Месяц назад +2

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

  • @jchung0510
    @jchung0510 3 года назад +7293

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

  • @Vsauce
    @Vsauce  8 лет назад +10676

    listen to what I say at exactly 0:40

  • @GalaxyToons
    @GalaxyToons 3 месяца назад +39

    “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 3 месяца назад +10

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

    • @kzeriar25
      @kzeriar25 2 месяца назад +5

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

    • @aoifedeborha2420
      @aoifedeborha2420 13 дней назад

      The cool wizard guy that guides the hero = Gandalf lol

  • @natalielewis5369
    @natalielewis5369 3 месяца назад +39

    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 3 месяца назад +6

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

    • @jacobwiren8142
      @jacobwiren8142 2 месяца назад +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 24 дня назад +1

      Nerd

  • @LTrains999
    @LTrains999 4 года назад +1557

    How to count past infinity:
    *40*

  • @levithe2nd
    @levithe2nd 4 года назад +1717

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

    • @kid_toucher
      @kid_toucher 4 года назад +9

      Hurb

    • @ihavenoname1136
      @ihavenoname1136 4 года назад +54

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

    • @tricky6476
      @tricky6476 4 года назад +3

      Cristina anduru that was my speech of spelling bruh backwards

    • @warrenlamont8233
      @warrenlamont8233 4 года назад +1

      Inf

    • @kid_toucher
      @kid_toucher 4 года назад +1

      @@warrenlamont8233 v

  • @titanray852
    @titanray852 10 дней назад +3

    I truly admire the man who animated this whole thing. Imagine the literal thousands of numbers he had to animate.

    • @StargazerKAI
      @StargazerKAI 8 дней назад

      Yeah, that must've at least taken an hour

  • @lubomirkubasdQw4w9WgXcQ
    @lubomirkubasdQw4w9WgXcQ 3 месяца назад +20

    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

  • @wolfemooney7188
    @wolfemooney7188 4 года назад +1998

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

    • @galaxypl7756
      @galaxypl7756 4 года назад +78

      42: *growling*

    • @Radithor
      @Radithor 4 года назад +35

      @Silk0 Gaming 1,000,000,000: come again ni**a

    • @crooser64
      @crooser64 4 года назад +43

      1,000,000,000,000: *laughs in the distance*

    • @andymackiewicz7299
      @andymackiewicz7299 4 года назад +28

      *Octillion:* aaghh stoop

    • @justasec5894
      @justasec5894 4 года назад +20

      42 : am i a joke to you

  • @Poleily
    @Poleily 4 года назад +688

    short answer: No
    long answer: Yes

    • @hexagon8899
      @hexagon8899 4 года назад +26

      Vsauce answer: what is answer

    • @ashaydwivedi420
      @ashaydwivedi420 4 года назад +4

      Wow 😂

    • @meowcat7124
      @meowcat7124 4 года назад +10

      Because yes is longer than no

    • @QwertZero
      @QwertZero 4 года назад +5

      well yes but acctualy no.

    • @ionisator1
      @ionisator1 4 года назад

      @@hexagon8899 answer is maybe, or not

  • @skitthebagel
    @skitthebagel Месяц назад +8

    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 2 месяца назад +9

    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.

  • @brualdasil2
    @brualdasil2 8 лет назад +2957

    "Mom, Vsauce glitched my brain again!"

  • @HyperionStudios
    @HyperionStudios 4 года назад +3290

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

    • @HVLLOWS1999
      @HVLLOWS1999 4 года назад +67

      You noticed that too!

    • @DembaiVT
      @DembaiVT 4 года назад +41

      It makes sense though!

    • @haniyasu8236
      @haniyasu8236 4 года назад +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 4 года назад +189

      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 4 года назад +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?

  • @TheNapoleon82
    @TheNapoleon82 3 месяца назад +7

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

  • @XaiverXD
    @XaiverXD 3 месяца назад +2

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

  • @zeuxis9169
    @zeuxis9169 4 года назад +2428

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

    • @thatdboyy74
      @thatdboyy74 4 года назад +13

      lol 😂

    • @contender5
      @contender5 4 года назад +28

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

    • @sophiegraham6174
      @sophiegraham6174 4 года назад +25

      Infinity+infinity b*tch

    • @caydenm1989
      @caydenm1989 4 года назад +29

      DOUBLE INFINITY HAS ENTERED THE CHAT

    • @ladolancea.garcia5569
      @ladolancea.garcia5569 4 года назад +10

      Infinity×Infinity×Infinity

  • @DanielGonzalezL
    @DanielGonzalezL 6 лет назад +3275

    "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 6 лет назад +118

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

    • @bernardcernea6792
      @bernardcernea6792 6 лет назад +29

      not as fast as TREE(3)

    • @Scarlet_goose
      @Scarlet_goose 6 лет назад +2

      Daniel Gonzalez do not

    • @Scarlet_goose
      @Scarlet_goose 6 лет назад +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 6 лет назад +7

      Tanroop Singh Hey, how's the schizophrenia going?

  • @calypso0523
    @calypso0523 5 месяцев назад +6

    3:34 that drop hits HARD

  • @mr.voidroy6869
    @mr.voidroy6869 4 месяца назад +3

    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 4 месяца назад

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

  • @bryanrosa27
    @bryanrosa27 4 года назад +3340

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

    • @ansems3309
      @ansems3309 4 года назад +157

      22 year old me: *_infinity and two_* ?

    • @D4rkker.
      @D4rkker. 4 года назад +115

      10 year old me: *infinty and infinity*

    • @Sharkee-us9kp
      @Sharkee-us9kp 4 года назад +77

      80 year old me *omega + omega*

    • @lolnotwoody1
      @lolnotwoody1 4 года назад +19

      Infinity x infinity

    • @asfadanny
      @asfadanny 4 года назад +16

      0÷0

  • @marcogarciamedina8933
    @marcogarciamedina8933 8 лет назад +3104

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

    • @fjukinorge6278
      @fjukinorge6278 8 лет назад +21

      fat

    • @aspebb
      @aspebb 8 лет назад +13

      So very true.

    • @insaincaldo
      @insaincaldo 8 лет назад +17

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

    • @filipmajewski8382
      @filipmajewski8382 8 лет назад +71

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

    • @doktawhawee9870
      @doktawhawee9870 8 лет назад +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!

  • @Goblinking-ps7fs
    @Goblinking-ps7fs 25 дней назад

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

  • @Jayshiver
    @Jayshiver 5 месяцев назад +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

  • @landon6797
    @landon6797 8 лет назад +1354

    The highest number is 420

    • @thetruetruth77
      @thetruetruth77 8 лет назад +12

      Hahaha 👍🍁
      stoners everywhere 😂

    • @CombatMagic
      @CombatMagic 8 лет назад +18

      +Landon Kays this could be true, because 421 is bigger, not higher...

    • @mindbreak666
      @mindbreak666 8 лет назад +1

      Blaze it muh ninja.

    • @m7mdKSA111111
      @m7mdKSA111111 8 лет назад +1

      421

    • @Norsketrutt
      @Norsketrutt 8 лет назад +5

      +m7mdKSA111111 421 is bigger, but not "higher" :P

  • @datonecaleb860
    @datonecaleb860 4 года назад +2399

    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

  • @Shparky
    @Shparky 2 месяца назад +2

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

  • @SARTHAK-xc9dk
    @SARTHAK-xc9dk 2 месяца назад +22

    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*

  • @meestyouyouestme3753
    @meestyouyouestme3753 3 года назад +2240

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

    • @joggie.
      @joggie. 2 года назад +55

      I love you first letter of the hebrew alphabet 0

    • @locvide898
      @locvide898 2 года назад +12

      Underrated comment

    • @kreckdem_7340
      @kreckdem_7340 2 года назад +4

      I dont find aluf nol in my keyboard

    • @datonerussiandood
      @datonerussiandood 2 года назад +3

      then love them to infinity and beyond

    • @cinnamonrolls7234
      @cinnamonrolls7234 2 года назад +3

      @@kreckdem_7340 aleph null

  • @dam7196
    @dam7196 8 лет назад +2839

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

    • @dam7196
      @dam7196 8 лет назад +55

      +dam7196 i'm pissed again

    • @dam7196
      @dam7196 8 лет назад +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 8 лет назад

      +dam7196 lol

    • @johntitor1619
      @johntitor1619 8 лет назад +12

      +dam7196 welcome to Vsauce.

    • @heners3423
      @heners3423 8 лет назад

      +dam7196 same

  • @sadaharu5870
    @sadaharu5870 2 месяца назад

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

  • @charlieborchardt2066
    @charlieborchardt2066 5 месяцев назад +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.

  • @ScientiaFilms
    @ScientiaFilms 8 лет назад +1375

    ah finally a way to measure your mom's weight

  • @iyla3742
    @iyla3742 5 лет назад +2972

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

  • @keijimorita1849
    @keijimorita1849 5 месяцев назад

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

  • @tabbairl
    @tabbairl Месяц назад +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.

  • @Wolfy-hu5hy
    @Wolfy-hu5hy 3 года назад +5285

    "I like your funny words magic man."

  • @coldsun1
    @coldsun1 8 лет назад +2714

    rip brain

  • @andresfriant-hm2ot
    @andresfriant-hm2ot 3 месяца назад

    dude the end is always the best part

  • @Denialisaheathen
    @Denialisaheathen 4 месяца назад +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.

  • @averagejoe7472
    @averagejoe7472 4 года назад +4310

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

  • @wusshygt9194
    @wusshygt9194 4 года назад +750

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

  • @loganle-us6oj
    @loganle-us6oj 12 дней назад +1

    my brain got deep fried after that

  • @daniildekterev5821
    @daniildekterev5821 3 месяца назад

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

  • @Khanaltai
    @Khanaltai 3 года назад +1458

    When you look away for 1 second in class:

    • @NautsuJJR
      @NautsuJJR 3 года назад +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 3 года назад +14

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

    • @JqAnimateshello
      @JqAnimateshello 3 года назад +2

      LMAOOOOOOO THIS IS UNDERRATED

    • @MintylLilGuy
      @MintylLilGuy 3 года назад +10

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

    • @riymeep6708
      @riymeep6708 3 года назад +8

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

  • @1nf1n1tenoob8
    @1nf1n1tenoob8 4 года назад +726

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

  • @hamtonvideos
    @hamtonvideos 3 месяца назад

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

  • @Fennaixelphox
    @Fennaixelphox 27 дней назад

    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."

  • @irenejavelosa2945
    @irenejavelosa2945 4 года назад +1853

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

    • @Chasta1n42
      @Chasta1n42 4 года назад +18

      Lol same

    • @jacobbishop8067
      @jacobbishop8067 4 года назад +41

      Well, thank god that it wasn’t hurt literally

    • @irenejavelosa2945
      @irenejavelosa2945 4 года назад +45

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

    • @Heyejen
      @Heyejen 4 года назад +3

      Ha

    • @hi-wu7ju
      @hi-wu7ju 4 года назад +7

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

  • @who502
    @who502 3 года назад +1152

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

    • @speeder.x9983
      @speeder.x9983 3 года назад +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 3 года назад +3

      @@speeder.x9983 true

    • @GoldDukes
      @GoldDukes 3 года назад +1

      @@speeder.x9983 ummm okay XD

    • @thomasgarcia8118
      @thomasgarcia8118 3 года назад +2

      🙏🏽

    • @Qaptyl
      @Qaptyl 3 года назад +3

      infinitist

  • @navilandinator4479
    @navilandinator4479 4 месяца назад +2

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

  • @mihalex1999
    @mihalex1999 2 месяца назад +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

  • @Lundmunchkins2000TV
    @Lundmunchkins2000TV 3 года назад +4182

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

    • @csicee
      @csicee 3 года назад +110

      math is similar to meth

    • @packediceisthebestminecraf9007
      @packediceisthebestminecraf9007 3 года назад +86

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

    • @aivo9941
      @aivo9941 3 года назад +17

      @@csicee COINCIDENCE !? I THINK NOT !!

    • @user-ib1dx4dh3n
      @user-ib1dx4dh3n 3 года назад +9

      @@packediceisthebestminecraf9007 yeah bro it's coooool

    • @L9-7240
      @L9-7240 3 года назад +15

      My goals are beyond your understandings

  • @jesses.3554
    @jesses.3554 8 лет назад +1138

    My brain broke when he said "Hey Vsauce"

    • @zacchon
      @zacchon 8 лет назад +5

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

    • @MK7JORGE
      @MK7JORGE 8 лет назад

      hah

    • @Hotrodd48
      @Hotrodd48 8 лет назад +5

      My mind was blown before I even clicked the video

    • @abitofpaprika
      @abitofpaprika 8 лет назад +1

      same

    • @YostPeter
      @YostPeter 8 лет назад +5

      I had to cry in a corner 3 minutes in.

  • @Gordon_whyiseveryhandletaken
    @Gordon_whyiseveryhandletaken 3 месяца назад

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

  • @501BG
    @501BG 6 месяцев назад +1

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

  • @lukescott6123
    @lukescott6123 8 лет назад +914

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

  • @michamikoajczak9070
    @michamikoajczak9070 3 года назад +1470

    "there's always a bigger fish"

    • @NetheriteMiner
      @NetheriteMiner 3 года назад +23

      Ah yes, good old Qui Gon

    • @Jacob-zk1jy
      @Jacob-zk1jy 3 года назад +10

      AND THE BIGGEST FISH
      *IS ME*

    • @speforarexiztmi9736
      @speforarexiztmi9736 3 года назад +3

      Good quote.

    • @andsalomoni
      @andsalomoni 3 года назад +2

      "Little fish, big fish, swimming in the water..."

    • @howardty2733
      @howardty2733 3 года назад +3

      111511116614inches 1415feet 18151541411415815195526288258627285251614151551851711415144 miles

  • @ethanwhite1949
    @ethanwhite1949 Месяц назад +1

    10:40 you just wrinkled my brain man

  • @Baseballify
    @Baseballify 24 дня назад +3

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

  • @donenod9991
    @donenod9991 5 лет назад +827

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

    • @ishantyadav5532
      @ishantyadav5532 4 года назад +27

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

    • @saysikerightnow3914
      @saysikerightnow3914 4 года назад +6

      That's actually cool.

    • @owl1095
      @owl1095 4 года назад +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 4 года назад +2

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

    • @gluckmac
      @gluckmac 4 года назад +2

      Good one!

  • @memzlord8600
    @memzlord8600 5 лет назад +757

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

  • @anonymous2678
    @anonymous2678 7 дней назад

    Unit of measurement. Aleph null is a unit of measurement, so can't be increased by adding a single line, because that would be like asking how many more 2/4s would you have if I added a 4/4.
    Where lines would sorta be the precise volume of wood, or number of knots, etc. Anything that cannot be calculated with the information you have.

  • @Shsgamerz656
    @Shsgamerz656 2 месяца назад +3

    Bro really said to infinity and BEYOND

  • @Rx-ee3rt
    @Rx-ee3rt 5 лет назад +1460

    Nobody
    Vsauce: How to disable fall damage in real life

    • @lamaosama9342
      @lamaosama9342 5 лет назад +55

      Lmao idot just do /gamemode 1 hahahahaha

    • @strikersuckysnipee8940
      @strikersuckysnipee8940 5 лет назад +14

      if you jump from a 86 floor apartment you can fly thanks to the spirit of shaggy

    • @goundz857
      @goundz857 5 лет назад +9

      Caboose /gamerulefalldamage false
      You need cheats enabled just to let u know

    • @gocommitdie8653
      @gocommitdie8653 5 лет назад +2

      Just use creative mode smh.

    • @minecrafter-gameplaystopmo4193
      @minecrafter-gameplaystopmo4193 5 лет назад

      I know this isn't related but how did you get the infinity symbol.

  • @zackarhino17
    @zackarhino17 8 лет назад +2326

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

    • @iowasucks9494
      @iowasucks9494 8 лет назад +10

      Exactly

    • @michaelmore9120
      @michaelmore9120 8 лет назад +4

      lol

    • @NoriMori1992
      @NoriMori1992 8 лет назад +46

      +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 8 лет назад +5

      +NoriMori Excellent observations.

    • @NZealandese
      @NZealandese 8 лет назад +1

      ∞∞∞

  • @harrytaylor4360
    @harrytaylor4360 2 месяца назад

    Love that "huge" is unfathomably greater than "indescribeable".

  • @user-tg8un8ms1j
    @user-tg8un8ms1j 2 месяца назад +1

    I like your work with your new numbers 🎉❤

  • @Guitarfollower22
    @Guitarfollower22 8 лет назад +2702

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

    • @AdilKhan-px2dj
      @AdilKhan-px2dj 8 лет назад

      lol

    • @zacchon
      @zacchon 8 лет назад +5

      +Guitarfollower22 Those are the exact same thing.

    • @sam_12845
      @sam_12845 8 лет назад +10

      Both, its the same thing

    • @abitofpaprika
      @abitofpaprika 8 лет назад +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 8 лет назад +1

      xD inr

  • @samjuli6393
    @samjuli6393 4 года назад +3373

    Omega+1 isn't bigger than Omega, it just comes after Omega.
    This was when my brain really broke.

    • @curiouslad6390
      @curiouslad6390 4 года назад +256

      -2 comes after -1 (counting from Zero) *but that doesn't make -2 bigger than -1*

    • @reddddy
      @reddddy 4 года назад +30

      Omega Flowey

    • @curiouslad6390
      @curiouslad6390 4 года назад +59

      @@MrAnthonyMarchal Start counting in ascending order from -∞ to -1 *All the best*

    • @Vulpilux
      @Vulpilux 4 года назад +43

      Well, if you think about the bananas... it does make sense... I think. These bananas are all equal in form, shape, size and color but they're still different bananas but ordered.

    • @noobium5333
      @noobium5333 4 года назад +4

      @Gavin DeYager ew ur not supposed to use grammar like that in youtube comment sections

  • @user-ce6ig1tv3k
    @user-ce6ig1tv3k Месяц назад +1

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

  • @Procxss
    @Procxss 2 месяца назад

    It's been 7 years and I STILL don't under stand how this man is this smart.

  • @marcoperez8935
    @marcoperez8935 8 лет назад +1536

    I didn't understand a single thing you said in the entire video
    It sounded cool though.

    • @AJag-bb6xu
      @AJag-bb6xu 8 лет назад +2

      samem

    • @Xevion
      @Xevion 8 лет назад +4

      +Abdulrehmaan Jag Expected of a MC Player

    • @lucasvarela9088
      @lucasvarela9088 8 лет назад

      lol xD

    • @ruoweilim7334
      @ruoweilim7334 8 лет назад +7

      +Marco Perez thats me in every vsauce video

    • @jenniferwhelton9165
      @jenniferwhelton9165 8 лет назад +2

      Guess you're not a nerd. I am, so I understood the whole thing.

  • @andreivezeteu6077
    @andreivezeteu6077 3 года назад +556

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

  • @aviral1337
    @aviral1337 3 месяца назад +1

    16:02
    "we're cooking now"
    -Vsauce, 2016

  • @sonnyraine3445
    @sonnyraine3445 5 месяцев назад

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

  • @smeerkaasfabrikant6721
    @smeerkaasfabrikant6721 7 лет назад +836

    Person: what is your IQ?
    Me: θ

    • @ivantmv80
      @ivantmv80 7 лет назад +4

      +G-Town Crew (GTC) i will respond to you so i can copy that swastika later on my computer ( i am now on phone )

    • @jpphoton
      @jpphoton 7 лет назад +5

      He said person.

    • @IzichiUchiha
      @IzichiUchiha 7 лет назад +5

      Ł

    • @simplecliche5833
      @simplecliche5833 7 лет назад +2

      smeerkaas fabrikant don't you mean 1 😏

    • @lolickypeepee23xdd6
      @lolickypeepee23xdd6 7 лет назад +3

      theta?

  • @thomasbryant1628
    @thomasbryant1628 7 лет назад +1146

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

    • @hellothere-rr7kc
      @hellothere-rr7kc 7 лет назад +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 7 лет назад +4

      Because you are a human

    • @justclosing
      @justclosing 7 лет назад +2

      I like the pictures

    • @duck3892
      @duck3892 7 лет назад

      Notis Senju agreed

    • @robertdicke7249
      @robertdicke7249 7 лет назад +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.

  • @DeeVeeElevenOhThreePointOne
    @DeeVeeElevenOhThreePointOne 5 месяцев назад

    I can't unsee "no" when seeing aleph null

  • @mrdonpuz
    @mrdonpuz 8 лет назад +11579

    Video starts at ∞:∞, thank me later.

    • @NK-xd4fu
      @NK-xd4fu 8 лет назад +282

      thanks.

    • @imaginewaymore
      @imaginewaymore 8 лет назад +148

      The puns are real. lol good one

    • @KadonLP
      @KadonLP 8 лет назад +280

      ω:ω you got it wrong

    • @FEZKONG
      @FEZKONG 8 лет назад +43

    • @fourtwothree5422
      @fourtwothree5422 8 лет назад +20

      +GabeN “K.F.” Ortiz 003 Its not a pun... but okay...

  • @yalldancer
    @yalldancer 5 лет назад +1139

    Random Guy : How to kill a brain without using any weapons?
    Me :

    • @abdulrahmanghanem8226
      @abdulrahmanghanem8226 5 лет назад +2

      LOL😂😂

    • @galactic7458
      @galactic7458 5 лет назад +8

      But you didn’t put what you would do to kill a brain without a weapon
      Yes I know it was a joke so don’t try to woooosh me if u do you will be the one getting wooooshed

    • @givencci9997
      @givencci9997 5 лет назад +1

      @@galactic7458 woosh omega w

    • @dominicgabrielpresno9127
      @dominicgabrielpresno9127 5 лет назад

      Use Math And Science And Even English!

    • @cannonrangeryt1740
      @cannonrangeryt1740 5 лет назад +3

      Galactic Banana Capsule R/Woooooooosh
      U can't woosh me either cuz I wooooooooshed you not woooosh you and in ur comment u said woooosh and not woooooooosh

  • @alonemulti9264
    @alonemulti9264 2 месяца назад

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

  • @Soapyvr360
    @Soapyvr360 13 дней назад +1

    16:03 “ now we are cooking”

  • @brandonbuchner1771
    @brandonbuchner1771 8 лет назад +421

    Ohhhh...so THAT'S why Omega-3 is so good for your brain...

  • @ivankoshan5104
    @ivankoshan5104 4 года назад +658

    "infinity is not a number"
    8 year old me : impossible...

    • @Prawnz
      @Prawnz 4 года назад +10

      Xander Shrive hey. not everyone is as smart as you, and he was making a joke. just laugh

    • @ImNotEpix
      @ImNotEpix 4 года назад +1

      More like me yesterday XDD

    • @LostDevTT
      @LostDevTT 4 года назад +1

      T~T

    • @RongDMemer
      @RongDMemer 4 года назад +1

      @Xander Shrive me an angry bird player with mod inf: yes

    • @TheAimirak
      @TheAimirak 4 года назад

      Yep, I same way :p

  • @aminekassara5233
    @aminekassara5233 Месяц назад

    16:03 bro really said we're cooking now in 2016 😂

  • @the-slim-tapes
    @the-slim-tapes 4 месяца назад

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

  • @kelda2608
    @kelda2608 3 года назад +713

    The first 23 minutes and 46 seconds confused me

  • @gooodels
    @gooodels 3 года назад +585

    19:03 i never knew a number could be so scary

    • @FrostedWater717
      @FrostedWater717 3 года назад +10

      Is it the 0- if it is I would be like:😵

    • @santinodemaria2818
      @santinodemaria2818 3 года назад +26

      That's because of the music

    • @fw--kx6sk
      @fw--kx6sk 3 года назад +7

      variables want to know your location

    • @rosie_luvs_collector7232
      @rosie_luvs_collector7232 3 года назад +10

      I know 😔😪🤢🤢🤮🥴😵😟😕🙁😭😢😥😰😨😧😦🥺😳😲😯😣☹😱😖😣😞😞😓😓👹😩👹😫😫😫😿🙊💨🕳💣🙏💅🏻💅🏻💅🏻💅🏻🤝🤲👁👄👁🦾🦿🦹‍♂️🦹‍♀️🦸‍♂️🦸‍♀️🧗‍♂️🧗‍♀️sorry my cat ran over my keyboard

    • @maxanderson6216
      @maxanderson6216 3 года назад

      How r u verified