The Infinite Hotel Paradox - Jeff Dekofsky

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  • Опубліковано 10 січ 2025

КОМЕНТАРІ • 39 тис.

  • @Asu01
    @Asu01 5 років тому +23902

    "One night, the infinite hotel is full"
    Me: _"Infinite confusion"_

    • @crystallava5002
      @crystallava5002 5 років тому +1215

      'One night, the infinite hotel is full with an infinite amount of people'
      Brain: 💥

    • @andro.txt0
      @andro.txt0 5 років тому +69

      where is the numbers alabnole and Omega?

    • @jeank2323
      @jeank2323 5 років тому +25

      Asu howwwwwww

    • @LegacyCrono
      @LegacyCrono 5 років тому +207

      Who are those poor women birthing an infinite number of children?

    • @carloalbertopirastru9503
      @carloalbertopirastru9503 5 років тому +20

      @@LegacyCrono the mothers of the wicked

  • @HiddenTalent_07
    @HiddenTalent_07 5 років тому +2989

    "Everyone's happy. and the hotel's business is booming more than ever."
    *Angry maid walks by*

    • @arnold8248
      @arnold8248 5 років тому +33

      This hotel has infinity maids

    • @andrewt.7555
      @andrewt.7555 5 років тому +9

      @@arnold8248 who work an infinite number of shifts for an infinite amount of time.
      Also no retirement.

    • @snockos6263
      @snockos6263 5 років тому +2

      I’m feeling like the maid being like 🤬🤯👺👹💩

    • @ashupashu5559
      @ashupashu5559 5 років тому +1

      Infinite maids!

  • @azryxthefolf6331
    @azryxthefolf6331 4 роки тому +6571

    Imagine the elevator in that place.
    "Hey man, where are you staying?"
    "Room 1.949213 x 10^77789"

    • @inneropinion1111
      @inneropinion1111 4 роки тому +184

      Maybe they all stay on an infinite 1st floor.

    • @estebson
      @estebson 4 роки тому +298

      "Oh, you're lucky. I'm staying in room 8.369304720x10^4830382075."

    • @MrSRMatthews
      @MrSRMatthews 4 роки тому +237

      The lift control panel is basically a scientific calculator

    • @venkatasriharsha5911
      @venkatasriharsha5911 4 роки тому +18

      @@MrSRMatthews 😂😂😂

    • @Ken-vz1gl
      @Ken-vz1gl 4 роки тому +70

      They only need a number close to infinity to contain infinity passengers because they will die in their finite life on the infinity long way to their infinity room number.

  • @RobloxKid123
    @RobloxKid123 Рік тому +2190

    As someone who has visited this hotel before, I really enjoyed the experience. When I came in, the night manager asked everyone to move to the next room and I went to room 1. There were a lot of complaints cuz it was 4 AM. And then, a million people came in at 3 AM and I had to move to room 1,000,001. The room was in floor 4000, so I wanted to take the elevator. I was trying to find an elevator out of the infinitely many that was at least close to floor 1, but after looking for like 2 hours, the closest one I could find was at floor 5.63 octillion, and the one I was standing next to was at floor 5.68 x 10^178, which was actually relatively close. The hotel tried to fix this problem by making the elevators go at the speed of light, the highest possible speed, but even that won't get you that one elevator that's stuck at 5.63 octillion. So, of course I had to take the stairs..... and as I get there, the manager told me to move to two to the power of my room number which was uh.... room number 1.98 x 10^301030 (according to wolfram alpha). This is going to be a fun journey!
    Update: It has been 19 years and I am still at floor 189.23 quadrillion. Help.

    • @thatmuffinguy3692
      @thatmuffinguy3692 Рік тому +97

      underrated comment

    • @abhyudaykaushik9669
      @abhyudaykaushik9669 Рік тому +77

      bro. Who are you? Einstein the memer coz holy cow thats a great comment!

    • @benwills7343
      @benwills7343 Рік тому +71

      Eh, you got an infinite amount of time to get there.

    • @fmjjjjn7510
      @fmjjjjn7510 Рік тому +10

      Hey are u at your room yet?

    • @RobloxKid123
      @RobloxKid123 Рік тому +41

      @@fmjjjjn7510 Not yet, still stuck in the elevator

  • @seagull1076
    @seagull1076 5 років тому +5536

    Bus driver: Are there rooms open for my passengers?
    Manager: Yesn’t

    • @nuttskippy6293
      @nuttskippy6293 4 роки тому +27

      well yes, but actually no.

    • @yarenkurtulus
      @yarenkurtulus 4 роки тому +6

      Seagull i haven't even watched the video yet but funny

    • @scallywag1716
      @scallywag1716 3 роки тому +1

      Some answer is yes and always yes. Bus driver may be driving a while to get to next open room but it is always there.

    • @calik.5094
      @calik.5094 3 роки тому +1

      Clever :)

    • @busthana3459
      @busthana3459 Рік тому

      Stop I’m near to shedding actual tears 😭

  • @Swift-Prime
    @Swift-Prime 5 років тому +24639

    Imagine how annoying it is to constantly get kicked out of your room

    • @tomlever
      @tomlever 5 років тому +1278

      Thank you! I couldn't believe nobody else was mentioning this. It would have terrible online reviews. Infinitely bad.

    • @morallyconflictedtortoise6494
      @morallyconflictedtortoise6494 5 років тому +593

      It's okay, they have infinite complimentary mints as well. Totally makes up for having to move yourself and all your stuff over 2,000,000 floors a few times a night.

    • @tomlever
      @tomlever 5 років тому +51

      @@morallyconflictedtortoise6494 😀😆😂🤣

    • @Petaurista13
      @Petaurista13 5 років тому +154

      And all that because one mathematic smoked too little weed and thought only infinityth guy can go to infinityth+1 room. Just send newcomer there. You only need infinity of weed as without it he will not find his way.

    • @5-minutetalkshow263
      @5-minutetalkshow263 5 років тому +26

      you actually never get a room you move to room 3? well they actually need you in room 7. And so on

  • @hahanamegobrrr6667
    @hahanamegobrrr6667 5 років тому +13823

    "One night, The Infinite Hotel is completely full"
    *laughs in mathematics*

    • @billyandrew
      @billyandrew 5 років тому +139

      To the nth °

    • @figsenjoyer
      @figsenjoyer 5 років тому +139

      Then the infinite amount of passengers use an infinite amount of energy to walk up the infinite stairs in an infinite amount of time.
      Then I think of when they need to go to the dining room to eat an infinite amount of food
      LOL

    • @thomasbraun6097
      @thomasbraun6097 5 років тому +136

      Yeah that's my problem, too. If the hotel has got an endless number of rooms, it will never be full. So you can forget the whole experiment.

    • @mayoiga9178
      @mayoiga9178 5 років тому +26

      inifinite hotel cant be full right?

    • @HuyenPhan-ir2wo
      @HuyenPhan-ir2wo 5 років тому +40

      And the night manager is now in depression.
      *CRIES IN MATHEMATICS*

  • @pinballed
    @pinballed 2 роки тому +1929

    Imagine being at floor 2194, needing to be at floor 8302, and then seeing that the elevator is currently at 29175, slowly ticking down

    • @AA-ni3km
      @AA-ni3km 2 роки тому +71

      And then Buddy the Elf gets into your elevator and presses all of the buttons ...

    • @mohakmotwani4427
      @mohakmotwani4427 2 роки тому +66

      It will have infinite elevators

    • @itzwindows
      @itzwindows Рік тому +6

      @@AA-ni3km :trol:

    • @Ventilyatorest
      @Ventilyatorest Рік тому +19

      @@AA-ni3km me whenI have to wait an infinite amount of time because an elf pressed all of the infinite amount of floors buttons, slowly ticking every number that exists

    • @The4096Tile
      @The4096Tile Рік тому +2

      "Maybe there's super mega bombastic ultrasonic fast fantastic elavator that delivers you to any floor instantly" - summer, 2 weeks ago

  • @Dev_Toast
    @Dev_Toast 5 років тому +5937

    “The infinite hotel is full”
    Science: *breaks*

    • @averagesoul8256
      @averagesoul8256 5 років тому +89

      thats exactly what i was thinking but then i realized he was talking about alef 0 which is the countable infinite natural numbers.a weird concept

    • @bennytan5017
      @bennytan5017 5 років тому +15

      IT IS *ALEF NULL*

    • @mochidoesart3481
      @mochidoesart3481 5 років тому +5

      Pupper Playlist Night Manager: No it ain’t
      XDDD

    • @jaysondavis9693
      @jaysondavis9693 5 років тому +8

      Infinity=infinity but infinity is also an infinite times more powerful
      Now compare this to zero

    • @laststand1618
      @laststand1618 5 років тому +3

      A wild universe deletion appears!

  • @SANumber169
    @SANumber169 4 роки тому +2657

    "The hardworking night manager" looks like the cleaning lady has to work harder

    • @themanguy2110
      @themanguy2110 4 роки тому +72

      nah, they hired an infinite number of cleaning works for their infinite cleaning crew

    • @eeshanmarathe3369
      @eeshanmarathe3369 3 роки тому +22

      @@themanguy2110 Should've hired Infinite Managers

    • @clairdeloona
      @clairdeloona 3 роки тому +1

      @Jean Llup I think we should hire half of infinity (before you say anything I know what that means)

    • @ravelnavarro9625
      @ravelnavarro9625 3 роки тому

      @@clairdeloona how do you get half of something that isn't countable

    • @clairdeloona
      @clairdeloona 3 роки тому +2

      @@ravelnavarro9625 half of infinity is also infinity

  • @RK-jb6rq
    @RK-jb6rq 4 роки тому +8627

    "Everyone is happy"
    Except the cleaning lady 😂

    • @C4_Shaf
      @C4_Shaf 4 роки тому +217

      There's an countable infinite amount of cleaning ladies.

    • @zeeliang7828
      @zeeliang7828 4 роки тому +52

      The lady is the 🤖

    • @Bjowolf2
      @Bjowolf2 4 роки тому +38

      Infinity Fawlty Towers 😳
      ...
      Guests at 3,141,592,653rd floor:
      "We are not satisfied!"
      Basil Fawlty shouting very loudly: "Well, people like you never are, are youuu?" 😂

    • @Bjowolf2
      @Bjowolf2 4 роки тому +23

      The poor plumber is not very happy either 😂

    • @davidvorano3904
      @davidvorano3904 4 роки тому +18

      But she gets infinite money for her job

  • @downwitthe1876
    @downwitthe1876 2 роки тому +3540

    imagine chilling at room no.12 and suddenly you have to move to room 4096 because there are infinite amount of buses with infinite amount of customers outside.. cant even have a hotel room peacefully in ohio 💀

  • @lukadjordjevic638
    @lukadjordjevic638 4 роки тому +11686

    Can we just respect the one maid who cleans all the rooms

    • @TheSewDew
      @TheSewDew 3 роки тому +299

      What if there are infinite maids that look the same

    • @nicolaidisnicolareis4839
      @nicolaidisnicolareis4839 3 роки тому +95

      @@TheSewDew Oi!
      That's jokes aside a good theory!

    • @steven401ytx
      @steven401ytx 3 роки тому +8

      No

    • @noa1175
      @noa1175 3 роки тому +9

      There's actually an infinite amount of maids

    • @bacchus3666
      @bacchus3666 3 роки тому +14

      She does get an infinite number of tips though

  • @ilovecats6238
    @ilovecats6238 4 роки тому +3935

    everyone gangsta until the manager calls to fix the roof

  • @gracecalis5421
    @gracecalis5421 5 років тому +3981

    Manager: Sir, we'd like to request that you move from Room 1 to Room 2
    Guy: No
    Manager: Oh
    **entire hotel implodes**

    • @MisterGn0me
      @MisterGn0me 5 років тому +59

      A Thanos move no doubt

    • @yechankim7713
      @yechankim7713 5 років тому +37

      You could just start from room 2 and ignore room 1

    • @boubander9917
      @boubander9917 5 років тому +13

      Haha! It is like...imagine that in SW: The Phantom Menace Anakin asks his mother if he can go with Qui Gon Jinn and mother says no.
      (Closing music starts immediately) &
      THE END..

    • @hooankee
      @hooankee 5 років тому +5

      *entire hotel implodes* infinitely

    • @Dennis19901
      @Dennis19901 5 років тому +3

      @@yechankim7713 You could also start from room n+1 and leave everyone where they are

  • @InterestingFactTime
    @InterestingFactTime 2 роки тому +810

    One night, the unthinkable happens. The night manager walks outside, and sees an infinitely long plane with an infinite amount of passengers crash into the infinite hotel. The hotel collapses into flames, causing an infinite amount of deaths.

    • @dumbreon_plays2139
      @dumbreon_plays2139 2 роки тому +77

      And an infinite amount of debris

    • @JoseMedina-xq8mf
      @JoseMedina-xq8mf 2 роки тому +120

      Breaking news: A second infinite plane has hit the infinite hotel

    • @silverthewitchdoctor8262
      @silverthewitchdoctor8262 2 роки тому +15

      @@JoseMedina-xq8mf ♾️/♾️

    • @ygotsvlog3762
      @ygotsvlog3762 2 роки тому +31

      @@JoseMedina-xq8mf breaking news infinite planes are hitting infinite skycraper causing infinite deaths and infinite 9/11

    • @JoseMedina-xq8mf
      @JoseMedina-xq8mf 2 роки тому +22

      @@ygotsvlog3762 Infinite jet fuel cant melt infinite steel beams

  • @ramy8338
    @ramy8338 3 роки тому +17257

    Everyone's chillin' until karen refuses to move to the next room

    • @Healthandwealth9422
      @Healthandwealth9422 3 роки тому +676

      Profits: *crashes* in a second

    • @ChrisHinners008
      @ChrisHinners008 3 роки тому +134

      The hotel still has room, having infinite space, there will always be more room. So it can’t be full

    • @zackschaefer
      @zackschaefer 3 роки тому +421

      @@ChrisHinners008 you don’t seem to understand the concept of the paradox. The hotel isn’t generating new rooms or anything like that, an infinite of rooms exist there aren’t new ones when there are new people, so when there are an infinite amount of people they fit in the infinite amount of rooms. You can run out of room if you are working with multiple infinities.

    • @tricklander
      @tricklander 3 роки тому +288

      @@zackschaefer my brain is kinda crashing now

    • @oshiriz6486
      @oshiriz6486 3 роки тому +220

      imagine infinite amount of karens

  • @towatchvideos5592
    @towatchvideos5592 3 роки тому +5105

    "Everyone is happy"
    Probably not, who would want to constantly be asked to switch rooms?

    • @cristiangomes6101
      @cristiangomes6101 3 роки тому +154

      they switched rooms infinity amounts of times

    • @MercurialMoon
      @MercurialMoon 3 роки тому +214

      Even worse, they have to walk infinite amount of stairs

    • @arafe.1012
      @arafe.1012 3 роки тому +27

      they tell different people to switch rooms

    • @Noah-Runge
      @Noah-Runge 3 роки тому +122

      Its an Infinite hotel. Not a five star infinte hotel. You get what you pay for

    • @Cyberaser
      @Cyberaser 3 роки тому +66

      @@Noah-Runge Sounds like a hotel with negative infinite stars.

  • @lisabakker7288
    @lisabakker7288 4 роки тому +1936

    Builder: how many floors do you want?
    Manager: *yes*

  • @RavenStarMedia
    @RavenStarMedia Рік тому +120

    I keep coming back to this because I love the animation, I love the concept, and I think an animated series comedy series involving concepts of infinity would be cool.

  • @stephnes2505
    @stephnes2505 5 років тому +2174

    Bosses: **Creates an infinite hotel**
    “His bosses weren’t very good in math”

    • @cadreg5217
      @cadreg5217 5 років тому +24

      That and the, "guest at Pi expecting a Pi". -_-
      Like seriously??
      You cannot joke in between someone else's joke! That too on Infinity!

    • @sweetbunnybun
      @sweetbunnybun 5 років тому +3

      maybe this hotel wasn't created by his boss

    • @Bjowolf2
      @Bjowolf2 4 роки тому +7

      How did they even manage to build a hotel with an infinite number of rooms in the first place? Wouldn't that take forever? 😅

    • @danielmakhlouf8931
      @danielmakhlouf8931 4 роки тому +6

      He might have infinite bosses

    • @stephnes2505
      @stephnes2505 4 роки тому +1

      Daniel Makhlouf *Smol laugh of joy*

  • @sonni6181
    @sonni6181 5 років тому +7854

    _"The Infinite Hotel Room is full"_
    *Task failed successfully*

  • @nguyentranduchungpotter3241
    @nguyentranduchungpotter3241 3 роки тому +5424

    I rated this Hilbert's hotel 1 star
    They kept making me change my room

    • @rhamzellibay4098
      @rhamzellibay4098 3 роки тому +108

      No matter how you rate the hotel, it will always be a 3-star hotel because average

    • @ctleans6326
      @ctleans6326 3 роки тому +83

      @@rhamzellibay4098 That's not true, everyone could rate it 1 and it would have an average of 1. Just because there's infinite people doesn't mean that there's infinite possibilities of ratings.

    • @rhamzellibay4098
      @rhamzellibay4098 3 роки тому +28

      @@ctleans6326 probability assumes infinitely many samples, such as in a dice with 6 faces that has a probability of ⅙ for each face if rolled infinitely many times. It means that in a hotel with a 1/5 chance of choosing numbers from 1-5, all numbers appear infinitely many times. Therefore, all 5's and 1's average to 3, and 4's and 2's average to 3. There's no way you can make infinitely many samples follow the same probability of 1/5 of choosing 1 since (1/5)^∞ = 0.

    • @ctleans6326
      @ctleans6326 3 роки тому +38

      ​@@rhamzellibay4098 People rating a hotel isn't exclusively random, some may rate it 5, and some may rate it 1, but every rating isn't equally likely to occur, unless you treat people as dice.

    • @rhamzellibay4098
      @rhamzellibay4098 3 роки тому +9

      @@ctleans6326 There's no way you can predict how will people rate a hotel because that's their personal preference. There are infinitely many guests so all numbers 1 2 3 4 and 5 rating will also appear infinitely many times, making them equally likely. I'm assuming a more probabilistic scenario lol.

  • @thienhuynh1361
    @thienhuynh1361 Рік тому +16

    Imagine walking in at 3:00 AM and realizing you have to go to room 12237863891763892787652

  • @blueee0088
    @blueee0088 5 років тому +3149

    "And then, he named hotel "inn-finity""

  • @Mo-nj2hp
    @Mo-nj2hp 3 роки тому +10655

    Job: night manager in a hotel
    Requirements: PhD in applied mathematics

    • @jasonchiu272
      @jasonchiu272 3 роки тому +212

      @@TJYuh32 Additional requirements: Must be capable of sorting out an infinite number of people within 24 hrs.

    • @ballsacsincorp
      @ballsacsincorp 2 роки тому +44

      @@jasonchiu272 8-12*
      seriously suggested:: ability to complete supertasks

    • @jestfullgremblim8002
      @jestfullgremblim8002 2 роки тому +1

      Lmao

    • @mrcricket275
      @mrcricket275 2 роки тому +10

      @@TJYuh32 per nano sec

    • @rosethxr
      @rosethxr 2 роки тому +17

      @@jasonchiu272 other additional requirements: must be able to solve calculus math questions in seconds.

  • @Dylan-Frost
    @Dylan-Frost 3 роки тому +5767

    2:55 imagine being in room 50 and suddenly having to move to the quadrillionth room

  • @Neonlaserz
    @Neonlaserz Рік тому +68

    I watched this video all the way 9 years ago, back when I was seven. Over the years I'd keep coming back to this video just because of how well presented it is. Here I am today, in my junior year of high school, having just about finished Calculus BC and having invariably dealt with infinity numerous times, watching this video once more. It's a good video.

    • @irsaa.3473
      @irsaa.3473 8 місяців тому

      wow same haha. this video is my childhood, it always feels nostalgic to be here again

  • @meteor_bagel1029
    @meteor_bagel1029 3 роки тому +1291

    “Everyone is happy”
    The janitor: *Are you sure about that?*

    • @clashoftalents8439
      @clashoftalents8439 3 роки тому +10

      At least the boss is happy

    • @casanova7635
      @casanova7635 3 роки тому +14

      2:51 I am Jealous of her melons

    • @torazely
      @torazely 3 роки тому +10

      The hotel hires an infinite number of janitors, one for each of the infinite floors.

    • @Flora0nYt
      @Flora0nYt 3 роки тому +2

      Yeah

    • @official-obama
      @official-obama 3 роки тому +1

      @@casanova7635 you didn’t contribute anything to the conversation

  • @rodmoazzami
    @rodmoazzami 5 років тому +2528

    legends says the guests are still moving to the next room

    • @ananyaavarma15
      @ananyaavarma15 5 років тому +10

      HAHAHAAHA

    • @Petaurista13
      @Petaurista13 5 років тому +16

      Just add infinite amount of newcomers. It will result in making +1 operation every time new guest arrives, but due to newcomers being infinite number of operations would be infinite.

    • @MouseGoat
      @MouseGoat 5 років тому

      Math says so to

    • @setekreling4956
      @setekreling4956 5 років тому +1

      Yes R, they r

    • @05772-i
      @05772-i 5 років тому

      they need to be

  • @serowan
    @serowan 5 років тому +2886

    "HE MIGHT LOSE HIS JOB"
    Isn't he already gonna lose his job because hes constantly kicking guests out of their room?

    • @Selfish_Mango
      @Selfish_Mango 5 років тому +87

      But he makes infinity dollars a night who cares if he loses his job

    • @serowan
      @serowan 5 років тому +27

      @@Selfish_Mango no job means no profit means no money means no infinitu dollars

    • @krishafyme
      @krishafyme 5 років тому +10

      @M. Woller have you read the fault in our stars, "Some infinites as bigger than other infinites" #)

    • @Swift-Prime
      @Swift-Prime 5 років тому +6

      He's just on an infinite amount of weed

    • @kek848
      @kek848 5 років тому +2

      After one paycheck he can retire

  • @hasanicahyadi9100
    @hasanicahyadi9100 Рік тому +107

    The most insane part to me is after all that effort, the hotel makes the same amount of money as before all that troubles

    • @jasinsworld3095
      @jasinsworld3095 5 місяців тому +2

      Its actually infinite amount of money not same but the term "Infinity" remains same.
      What i mean is he made Infinity amount of money before the guests came, infinite amount after the guests came

    • @EnAuEllai
      @EnAuEllai 4 місяці тому

      @@jasinsworld3095 Initial infinity and final infinity are the same, otherwise either the former or both of them weren't infinite.
      In reality, the whole "thought experiment" is flawed at the start, because by saying that the infinite hotel is full with infinite people, it tricks your mind into associating infinite to a finite quantity, but an infinite container can never be full in the way we intend it.
      We associate room 1 to guest 1, room 2 to guest 2, and so on, but numbers lose meaning when they're infinite; you can always add any amount of guests, and infinite + N (where N can also be infinite) still equals infinite, and at the same time, if the rooms are infinite, it means they are already equal to infinite + N.
      "Creating" free rooms by moving people is the demonstration that it's all based on an illusion of human minds thinking about infinite as if it was finite: "there was" already more (infinite) space for additional guests, because the reality is that the "new" guest aren't additional, they were already part of infinite.

  • @moonshadow1794
    @moonshadow1794 4 роки тому +4998

    This video should be called "how to lose an infinite amount of brain cells "

    • @alieninwonderworld
      @alieninwonderworld 4 роки тому +10

      😂😂😂😂

    • @Lyenati
      @Lyenati 4 роки тому +54

      I only have 2 though so that’s impossible

    • @YourKyckling
      @YourKyckling 4 роки тому +2

      @@Lyenati you saying that actually makes me believe you.

    • @Lyenati
      @Lyenati 4 роки тому +13

      Your Kyckling No, it makes sense. You can’t loose an infinite amount if there’s a finite amount.

    • @YourKyckling
      @YourKyckling 4 роки тому +1

      @@Lyenati Then why did you specify that you had 2 IQ?

  • @colamalfoy
    @colamalfoy 5 років тому +1620

    Nobody gonna give props to the cleaning lady at this hotel ? /:

    • @jerajera01
      @jerajera01 5 років тому +10

      Who said the cleaner's a lady?

    • @Cuzjudd
      @Cuzjudd 5 років тому +27

      Who says there's not infinite of her?

    • @derfzgrld
      @derfzgrld 5 років тому +10

      @@Cuzjudd even an infinite amount of cleaning ladys is not enough to clean an infinite number of rooms. Partially because they all exist in overlapping space and cant move because of that.
      Edit: There is actually an infinite amount of cleaning ladys on any mm^3 but there is still infinite space without any cleaning lady at all. Welcome to infinity ;)

    • @max010113
      @max010113 5 років тому +4

      @@derfzgrld but if we have infinite cleaning ladies, we can just assign a cleaning lady for every floor, now each lady only has one floor to worry about.

    • @jdogmpd7369
      @jdogmpd7369 5 років тому +3

      JeraJera01 they show her

  • @danieldsilva8322
    @danieldsilva8322 6 років тому +2868

    The buffet must be a nightmare

    • @danieldeak9141
      @danieldeak9141 6 років тому +110

      Yea but then again there is infinite food.

    • @PRGME7
      @PRGME7 6 років тому +44

      Dániel Deák and most likely infinitely large

    • @bojackthepriest4288
      @bojackthepriest4288 6 років тому +55

      Only problem is the dining room must be infinitely large, so it takes for an infinite amount of guests an infinite amount of time to find their table

    • @ucnguyenanh9414
      @ucnguyenanh9414 6 років тому +14

      Poor staff

    • @ninjahayden34
      @ninjahayden34 6 років тому +16

      @@ucnguyenanh9414 there would probably be infinite staff

  • @gilthenrill1024
    @gilthenrill1024 2 роки тому +77

    “The person on the first bus who is sitting on seat number 7 will go to room no. 3^7 AKA room no.2187”
    The guy: Hello, are there any available rooms?
    Receptionist: Yes, you’re going to room no. 2187. It’s on the 219th floor.
    The guy: Uhh…. How long does it take to get there on elevator?
    Receptionist: About 38 minutes and 9 seconds.
    The guy: Wait… so I have to wait over half an hour in the elevator just to get to my room?
    Receptionist: Yes. Oh and we are expecting another infinitely long bus so at 8pm expect to have to go to room no.4374.
    The guy: Oh god….

    • @energyーy
      @energyーy 2 роки тому +6

      Hey person on the first bus in seat 7, another infinite set of infinite busses has arrived. Please move to room 22521666186739810716017129863546474247925813985186306383480395759255528226899398031271474259176472311138130302909797370563984143657840869015723623128208458564711932390036470899999940399003451938771468124775412134017692556582989981820657376622292117781429636251681663364133246565240603802421309871873386179061056683850002592550658912005406539073633368208169912295100765107813056035892005304712416817301893705332191267615274619407764899319819287315641053762034009508858938727147166108668063720886082155921552955435591503022900749768195878181491707144967461286550140023171580051111358071521188926359524314904062599527129957121490685127011258936786658012354838528. It's on the 2252166618673981071601712986354647424792581398518630638348039575925552822689939803127147425917647231113813030290979737056398414365784086901572362312820845856471193239003647089999994039900345193877146812477541213401769255658298998182065737662229211778142963625168166336413324656524060380242130987187338617906105668385000259255065891200540653907363336820816991229510076510781305603589200530471241681730189370533219126761527461940776489931981928731564105376203400950885893872714716610866806372088608215592155295543559150302290074976819587818149170714496746128655014002317158005111135807152118892635952431490406259952712995712149068512701125893678665801235483853rd floor.

    • @tto0508
      @tto0508 Рік тому

      FAX 🤣🤣

  • @segul2309
    @segul2309 3 роки тому +2910

    "The infinite hotel got full"
    Me: Hold up, somethin ain't right

    • @Ambersworstenemy
      @Ambersworstenemy 3 роки тому +153

      Something's wrong, I can feel it.

    • @shintyty
      @shintyty 3 роки тому +190

      Infinite confusion

    • @arslanakram043
      @arslanakram043 3 роки тому +82

      this theory is wrong the hotel is already FULL with infinite numbers of guest which are = to infinite numbers of rooms he said

    • @moisesggomes
      @moisesggomes 3 роки тому +43

      @@arslanakram043 Yes, but just if you are considering only the countable infinity. But according to absolute infinity, not.

    • @sigoy
      @sigoy 3 роки тому +21

      @@moisesggomes Ahhhhhh right, just clicked, of course, should have spotted it *frantically googles 'countable infinity'*

  • @SomewhatDapperExtraterrestrial
    @SomewhatDapperExtraterrestrial 4 роки тому +2263

    Teacher: "The homework isn't that complicated"
    The homework:

    • @afaresfors
      @afaresfors 4 роки тому +11

      underrated

    • @DaDerpyCarrot
      @DaDerpyCarrot 4 роки тому +7

      i'd rather drop out

    • @JPL454
      @JPL454 4 роки тому +5

      This is not complicated 😅

    • @mish4272
      @mish4272 4 роки тому +11

      No caps, this is actually my homework.

    • @marcnassif2822
      @marcnassif2822 4 роки тому +3

      @@mish4272 Same, BA1 MT at EPFL and this is part of my Computer Science homework

  • @modus3493
    @modus3493 5 років тому +3282

    The real paradox is how there’s still some sort of economy after this single man gained infinite money

    • @petegrusky2715
      @petegrusky2715 5 років тому +50

      Because everyone works for the manager .

    • @CC-hx8gj
      @CC-hx8gj 5 років тому +50

      Donovan Reynolds whatever country this is both has a GDP of infinity, a GDP per capita of infinity, and a GINI of 100.

    • @abrahampowell6792
      @abrahampowell6792 5 років тому +37

      Because he has cheats on

    • @therealfredang
      @therealfredang 5 років тому

      Manager

    • @fldsfmfr8277
      @fldsfmfr8277 5 років тому +3

      @@abrahampowell6792 HESOYAM

  • @RobloxKid123
    @RobloxKid123 Рік тому +8

    “Banking an infinite amount of dollars”
    Inflation: “Do I look like a joke to you”

  • @TheRealGuywithoutaMustache
    @TheRealGuywithoutaMustache 4 роки тому +4947

    So basically the hotel guests are simply getting kicked out for an infinite amount of times ( ͠° ͟ʖ ͡°)
    Yeah, this hotel deserves a rating of 1/∞

    • @raynerfr
      @raynerfr 4 роки тому +48

      Ali Raza why not Negative Infinity?

    • @kato3415
      @kato3415 4 роки тому +26

      @@raynerfr How to losing your braincell

    • @raynerfr
      @raynerfr 4 роки тому +5

      Ice Pumpkin I’m sorry, what?

    • @kato3415
      @kato3415 4 роки тому +6

      @@raynerfr can u count negative in finity to infinity?

    • @raynerfr
      @raynerfr 4 роки тому +6

      Ice Pumpkin uhhhh, no? It’s literally impossible to count to negative/infinity

  • @DJStoneProductions
    @DJStoneProductions 5 років тому +57717

    It’s funny how I thought i might be able to understand this

    • @jessicasuchy6411
      @jessicasuchy6411 5 років тому +407

      DJ Stone Productions Hahahaha sameeeee

    • @geraldjames999
      @geraldjames999 5 років тому +135

      Jessica Suchy freal 😂😂😂💀😭

    • @rockmove3547
      @rockmove3547 5 років тому +293

      Im So Smart so i dont know what is there hard to understand So probably you still understood more than me

    • @Samuel-bw6hg
      @Samuel-bw6hg 5 років тому +18

      😂

    • @PercabethLovernot
      @PercabethLovernot 5 років тому +18

      Same

  • @donbaneado
    @donbaneado 5 років тому +44833

    Infinite hotel? *_Trivag∞_*

  • @stephenhofmann1012
    @stephenhofmann1012 Рік тому +34

    I believe it’s fair to say that in this paradox, we need not worry for the night manager’s predicament because there are infinite ways that he can free up more space giving his seemingly infinitely high level of intelligence and problem solving. One must imagine Sisyphus happy, even if his stone was actually finding vacancy in an infinitely booked hotel.

    • @solanaceous
      @solanaceous 8 місяців тому

      oh wait.. but what if there are infinite nights with infinite buses of infinite people? or what if there are:
      infinite nights, infinite buses of infinite people, infinite rooms, and infinite elevators that only go up to floor n.

  • @sulojanasukumaran2373
    @sulojanasukumaran2373 5 років тому +2991

    Imagine waiting for the elevator of this hotel...

    • @asheekamov
      @asheekamov 5 років тому +41

      Infinity time

    • @ishansharma7909
      @ishansharma7909 5 років тому +108

      No tension! The hotel has infinite numbers of elevators 😉

    • @batoulabbad1755
      @batoulabbad1755 4 роки тому +11

      There should be infinite number of elevators

    • @Mn12074
      @Mn12074 4 роки тому +3

      Its fast as light

    • @nicbentulan
      @nicbentulan 4 роки тому +9

      @Chim Chim Genie maybe it's not a button for each floor but rather one keypad where you input floor numbers?

  • @jonathanlewis6146
    @jonathanlewis6146 4 роки тому +3536

    Mathematician: "All the math works out."
    Hotel Company: "Ok sounds good, let do it!"
    The Architect: *Visible terror*

    • @axlychee3113
      @axlychee3113 4 роки тому +28

      omg this comment is gold why doesn’t it have 10k likes sksksksskskk

    • @chrisplato7392
      @chrisplato7392 4 роки тому +12

      @@axlychee3113 shut up

    • @CJ-ow2ld
      @CJ-ow2ld 4 роки тому +58

      The engineer : had a stroke and died

    • @sopha9191
      @sopha9191 4 роки тому +8

      @@CJ-ow2ld Imagine the elevators!

    • @UsernameHere51
      @UsernameHere51 4 роки тому +21

      Elevator: I can get you to your room in 3-5 business days

  • @lkusa
    @lkusa 5 років тому +3879

    forget about the manager
    THE CLEANER HAS TO CLEAN AN INFINITE AMOUNT OF ROOMS

  • @craz2580
    @craz2580 2 роки тому +10

    I rewatch this video from time to time only bc i like the animations, and hurting my brain

  • @NelsonLAN
    @NelsonLAN 5 років тому +3162

    "The Infinite Hotel Room is full"
    Brain.exe has stopped working.

    • @hidde3508
      @hidde3508 5 років тому +16

      Every room has a guest, so it' s full.

    • @sobervision1049
      @sobervision1049 5 років тому +97

      Its funny how the "infinite" hotel only has one employee

    • @epicgaming7813
      @epicgaming7813 5 років тому +23

      Hidde Lekanne Deprez but then they move to the next room, which apparently didn’t exist

    • @hidde3508
      @hidde3508 5 років тому +32

      @@epicgaming7813 I admit that this video does a terrible job at explaining the problem and is basically one big inside math joke for the people who already know the problem.
      It's a mapping problem, if you map person 1 to room 1, aka n to n then you know every room will be full. but if you map person 1 to room 2, aka n to n + 1 you know that room 1 will be empty (since there is no person 0). Intuitively you would eventually run into a problem: since both sets are infinite, thus equally large, that when the mapping is unequal (n+1) you run out of rooms before you run out of people. But that's where infinity comes in, both sets don't have an ending so this problem can't occur. Thus as long as you can find a mapping which assigns each person an unique room number you're allowed to fill whatever rooms you know won't be mapped to with whatever you want :p
      To give an advanced example: I can say person 1 gets room 2, aka n to n * 2, and I have 1 free room for ever empty room, but the set is still infinite, meaning I have both infinite amount of full rooms and infinite amount of empty rooms. Intuitively I just created a "bigger" infinity with this mapping but mathematicians didn't find this distinction useful so we use other methods to compare infinities in size.

    • @epicgaming7813
      @epicgaming7813 5 років тому +3

      Hidde Lekanne Deprez I’m sorry I’m too lazy to read all that oof

  • @lmSheep
    @lmSheep 5 років тому +3543

    You start off understanding and following the video, and then eventually trail off and end up in the comments

    • @nswij123
      @nswij123 5 років тому +3

      Damn! You a mind reader?

    • @POOFAYMANN
      @POOFAYMANN 5 років тому +15

      It doesn't make any sense. If it was an infinite hotel it couldn't be full

    • @ares_bluesteel
      @ares_bluesteel 5 років тому +15

      Infinity isn’t a measurable quantity, it’s only a hypothetical idea. To put it simply, infinity does not exist in real life, as everything can be quantified and infinity by definition cannot be quantified. There are extremely large numbers, like the number of atoms in the universe, but no infinity, it only exists in our heads.

    • @youngretireesclub
      @youngretireesclub 5 років тому

      literally

    • @EmilianoCarlito
      @EmilianoCarlito 5 років тому

      Sheepy. Exactly what I done! 😂

  • @Cris69420
    @Cris69420 5 років тому +2907

    TED-Ed : The infinity hotel is full
    Me:
    Excuse me, wtf

    • @tristanhuiperez536
      @tristanhuiperez536 5 років тому +10

      Ahahahaha true

    • @987654321ABC1000
      @987654321ABC1000 5 років тому +15

      because it's countably Infinite

    • @frey8893
      @frey8893 5 років тому +2

      淼淼 8 Billion is countable

    • @HudoFB
      @HudoFB 5 років тому +11

      Yes, i really don't understand the first problem

    • @987654321ABC1000
      @987654321ABC1000 5 років тому +7

      it's one-to-one and onto, so that's why an infinity hotel can be full, one person for one room each

  • @flohwald
    @flohwald 2 роки тому +10

    Note to myself: Always book room number 0. So I won't get kicked out.

    • @Tiqerboy
      @Tiqerboy 2 роки тому +1

      Except it doesn't exist in that hotel because all the rooms are natural numbers, therefore integers 1 and up.

    • @mr.lejend1825
      @mr.lejend1825 2 роки тому +3

      Wouldn’t Room 0 just be the lobby

    • @blackretsu7452
      @blackretsu7452 2 роки тому +1

      u would get kicked out at the n+1 and the cycle continues

    • @anthonybenci9035
      @anthonybenci9035 Рік тому +1

      That’s the lobby!

    • @nothingmuch1039e9
      @nothingmuch1039e9 Рік тому

      Its the lobby!

  • @wyatt7454
    @wyatt7454 5 років тому +1878

    Imagine staying at a hotel and the guys asks you to move to room 2 to 36 power

    • @mrcastravete8220
      @mrcastravete8220 5 років тому +56

      Wyatt you would move to room 68.719.476.736

    • @caiooctavio
      @caiooctavio 5 років тому +78

      maybe the elevator is infinitely fast

    • @orangeapplekiwi6795
      @orangeapplekiwi6795 5 років тому +30

      @@caiooctavio yes, but with infinite floor you could never reach anywhere

    • @thebookless3381
      @thebookless3381 5 років тому +19

      *You could never reach the truth**

    • @Fred_the_1996
      @Fred_the_1996 5 років тому +1

      @@thebookless3381 ohshitthat'sdeep

  • @_uditsingh
    @_uditsingh 5 років тому +2950

    Legend has it, He works for TRIVAGO now.

  • @せい-x6r
    @せい-x6r 4 роки тому +1855

    So this is the only hotel that TRIVAGO can’t show us.

  • @kaitlynsarah2
    @kaitlynsarah2 Рік тому +3

    "Square root rooms, like room radical 2, and room pi, where the guests expect free desert"
    Best line.

  • @definitelynothekjasoldacco5668
    @definitelynothekjasoldacco5668 4 роки тому +642

    Ya know what is the meaning of infinity?
    Manager’s IQ

  • @s1mplysamuel966
    @s1mplysamuel966 3 роки тому +10956

    Someone give that room service maid a raise.

    • @CinnamonRolz240
      @CinnamonRolz240 3 роки тому +427

      I think her normal paycheck may already cover that raise, what she needs is a vacation

    • @yuvalmaharshak5566
      @yuvalmaharshak5566 3 роки тому +95

      She have א0 $ and she need א1 $

    • @MAD-kh2oy
      @MAD-kh2oy 3 роки тому +106

      @@CinnamonRolz240 The hotel gets infinite amount of money so she probably gets a lot

    • @dankstercow
      @dankstercow 3 роки тому +23

      Maid be like: don't talk to me my brain hurts UwU

    • @SweBeach2023
      @SweBeach2023 3 роки тому +32

      If every guest tipped her, if so only a single cent she would have an infinite amount of money.

  • @jellygames6197
    @jellygames6197 6 років тому +1890

    The infinite hotel is completely full.
    Me : Wtf am i doing with my life

    • @themanfromvolantis
      @themanfromvolantis 6 років тому +32

      JellyGames Mostly looking for an alternative hotel. One where they dont keep waking you up to change rooms.

    • @LuftUberSoldat
      @LuftUberSoldat 5 років тому +2

      JellyGames
      U R learning alchemist which makes single stone into the gold

    • @hawk18513
      @hawk18513 5 років тому

      YOUR DR T

    • @hawk18513
      @hawk18513 5 років тому

      GET HIM

    • @hawk18513
      @hawk18513 5 років тому

      HES DR T

  • @pragyanpranay3681
    @pragyanpranay3681 9 місяців тому +3

    I remember watching this video like 4-5 years ago, I had no background in math... Today when I was trying to show Q is countable, I used one of the ideas from the video! Never really realized or understood how important this video was and what kinda technicalities it had!

  • @uwucult
    @uwucult 5 років тому +490

    Imagine having to change rooms everyday and some dude telling you to go to room 2^7 id just give a bad review and leave

    • @CodecrafterArtemis
      @CodecrafterArtemis 5 років тому +45

      Imagine if you made a friend on your trip.
      "Hello Mr Manager, this is my friend and we'd like to have neighboring rooms"
      "Oh, I'm afraid it isn't possible Ma'am, you'll have to take the room number 7^14 = 678223072849 and your friend here will have to take the room 7^15 = 4747561509943".

    • @cleocielo
      @cleocielo 5 років тому

      Exactly!!!

    • @j5803
      @j5803 5 років тому +1

      @@CodecrafterArtemis OMG this made me laugh so hard

    • @alieninwonderworld
      @alieninwonderworld 5 років тому

      @@j5803 Me too xD

    • @Khang-kw6od
      @Khang-kw6od 5 років тому +1

      @@CodecrafterArtemis just ask the person next door to 7^14 to move the room 7^15 since they're always moving rooms it seems

  • @rafabdc04
    @rafabdc04 4 роки тому +1385

    "room pi, where the guests expect free desert"
    ok I see what you did there

  • @Cyranek
    @Cyranek 6 років тому +4612

    Can somebody tell the manager that room sqrt(42) is being noisy? I don't want to climb down an infinite set of stairs to go tell him. Also, as expected this hotel is no exception to the norm and does not have infinite free wifi.

  • @studyhelp9724
    @studyhelp9724 7 місяців тому +2

    me throughout the video:
    experiencing extremely high confusion ever

  • @linadoesrandomstuff4414
    @linadoesrandomstuff4414 4 роки тому +946

    "The hotel manager decides to find a room for him. How?"
    7th grade me: infinity plus one.

    • @blueblaze27
      @blueblaze27 4 роки тому +5

      @@flammableflame5056 hootel

    • @viraj5079
      @viraj5079 4 роки тому +11

      I don't know why i found this cute😅

    • @real-mars-art
      @real-mars-art 4 роки тому +21

      Infinity plus one is actually a legitimate answer

    • @DonCorleone4
      @DonCorleone4 4 роки тому +3

      im in 7grade

    • @mercame
      @mercame 4 роки тому

      Actually infinity + 1 makes sense!

  • @drrandom2639
    @drrandom2639 4 роки тому +1513

    The hotel is full, with infinite guests.
    Manager: *STONKS*

  • @87xfyx7
    @87xfyx7 5 років тому +813

    things taught in class: a+b whole square
    things asked in exams: infinity hotel paradox

    • @KamoreeLove
      @KamoreeLove 5 років тому

      Vishal Thale lmaoooo

    • @nicbentulan
      @nicbentulan 4 роки тому +2

      wait is the term for (a+b)^2 really 'whole' square and not like 'quantity' squared? Maybe it's an american vs british thing?

  • @90schilllofi
    @90schilllofi Рік тому +4

    Relax and unwind with this soothing lofi track. Perfect for studying, reading, or just chilling out. 📚🎶

  • @ViceCityExtra
    @ViceCityExtra 4 роки тому +1553

    ”So your room will be 2n+6^8-46^n”
    Me: visible confusion

    • @alecc2335
      @alecc2335 4 роки тому +3

      your*

    • @expertgaming
      @expertgaming 4 роки тому +24

      Me: *∞ confusion*

    • @BonesYouTube
      @BonesYouTube 4 роки тому +26

      if n = 3, then it will be
      2 * 3 + 6 ^ 8 - 46 ^ 3
      now shrink it until you find the answer
      6 + 1679616 - 97336
      1679622 - 97336
      1582286
      so, if someone is on room 3, he'll be on room 1,582,286

    • @thejennagames8843
      @thejennagames8843 4 роки тому +3

      BonesYT whoa-

    • @irlbocchi
      @irlbocchi 4 роки тому +12

      @@BonesUA-cam Damn my legs are gonna hurt by the time I go to sleep

  • @sqilz
    @sqilz 4 роки тому +797

    “One night the infinite hotel is full”
    Logic: adios

    • @remainincognito6303
      @remainincognito6303 4 роки тому +8

      Infinite - infinite = 0 :)

    • @sciencedoneright
      @sciencedoneright 4 роки тому +7

      @@remainincognito6303 no infinite-infinite = infinite

    • @kishangajera1411
      @kishangajera1411 4 роки тому +7

      Duhh Trueee
      The hotel with the infinite rooms and infinite stories can't be full you're right 👌👍
      Cause then it will not be actual infinite, it'll br finite if it's full, right??

    • @jayateesrivastava3172
      @jayateesrivastava3172 4 роки тому +3

      @@remainincognito6303 lmao no infinite is a concept, not a predictable number. That is false by so many aspects.

    • @aleksandarj5286
      @aleksandarj5286 4 роки тому +2

      @@sciencedoneright infinite - infinite isn't defined actually

  • @Luis29292
    @Luis29292 4 роки тому +899

    Imaging being settled in a room and then the manager is like: “you need to move oops”

    • @Rupakmallick1991
      @Rupakmallick1991 4 роки тому +25

      And that too will happen Infinitly

    • @064chilukuriaditya3
      @064chilukuriaditya3 4 роки тому +1

      Nice onee

    • @joe.falchetto
      @joe.falchetto 4 роки тому +3

      "we need you to go to room 1943937^1837 "

    • @jackhopkins9337
      @jackhopkins9337 4 роки тому +1

      Actually happened to me once, except we were kicked out cuz they had overbooked the entire place and didn't realise until it was too late 😂 Still loved New Zealand tho

    • @iasminadobre4412
      @iasminadobre4412 4 роки тому

      I'll say "ok, I'm going home and never coming again."

  • @thahorinhasankhan2630
    @thahorinhasankhan2630 9 місяців тому +3

    "the infinite hotel is full"
    math: moye moye

    • @_icscata_
      @_icscata_ 9 місяців тому

      I think that it’s only relatively full. From that initial perspective. When there comes more than one infinite of people that are already booked the space is automatically generated to fit the people that arrived. If that infinity that is full cannot fit more people it wouldn’t be infinite.
      (I will contradict myself: if you have an infinite big water bottle that is filled, can there be added more water to it? Can that water bottle be stretched to be able to contain more water? If it’s full then that means that there shouldn’t be more space without deforming the first reference system……) This is how I’d imagine a closed infinity system…..

    • @lakshya4876
      @lakshya4876 9 місяців тому

      😭😭😭I can't

  • @personmanthing
    @personmanthing 4 роки тому +2020

    I feel bad for the people walking on the infinite staircase to get to the infinite room

    • @puffcatco
      @puffcatco 4 роки тому +50

      well since everything is infinite, they could get there in 0 seconds.

    • @lynzcan0n_
      @lynzcan0n_ 4 роки тому +12

      And all so the maiden

    • @aeiou9344
      @aeiou9344 3 роки тому +5

      And the cleaning lady

    • @g.n.855
      @g.n.855 3 роки тому +4

      Infinitely tiring.

    • @chairmanxina2338
      @chairmanxina2338 3 роки тому

      SCP

  • @gordon1545
    @gordon1545 3 роки тому +1010

    Not sure the guest in room 0.5 should be worried about his "neighbour" in room 1 when there is infinite rooms between them.

    • @edwardbrandon3170
      @edwardbrandon3170 3 роки тому +43

      This got me thinking, is there the same amount of space between room 1/2 and room 1, as there is between room 100 and room 1?

    • @Namezzzzzzz
      @Namezzzzzzz 3 роки тому +17

      @@edwardbrandon3170 There are both infinite rooms between them if you meant that. That is why there is a very big difference if you have n ∈ ℕ or n ∈ ℝ

    • @anjhindul
      @anjhindul 3 роки тому +13

      @@edwardbrandon3170 You would be correct, there is infinite space between rooms 1/2 and room 1, just as there is infinite space between 100 and 1. Hence the reasoning of the paradox. Infinite just means "to much or to big for our measly human brains to understand"

    • @eBrunoro
      @eBrunoro 3 роки тому

      @@edwardbrandon3170 It is possible to mathematically prove that there is the exact same "distance" (amount of numbers) in the intervals [1/2; 1](A) and [1; 100](B). Simply assign one number from interval A to each number from interval B through a bijective function

    • @EHMM
      @EHMM 3 роки тому +1

      and 0.1928 reccuring would have to go to room 0.3856 recurring

  • @corue
    @corue 5 років тому +3026

    Worker: Sir, you have to go to room 1,605,546,491,106,999,545,694,136,742,623,645,786,434,205,316,1405,000,000,000,000.
    Me: *say sike right now*

  • @wehitextracellularidiombit4907
    @wehitextracellularidiombit4907 2 роки тому +5

    Where mathematics meet poetry. I still come back to this video once in a while for the sole purpose of taking a small hike in some high altitude vale of wonderment.

  • @lemlemwoldemichael7693
    @lemlemwoldemichael7693 4 роки тому +2416

    Builder: how many floors would you like manager: yes

    • @drippinbroomy4830
      @drippinbroomy4830 4 роки тому +4

      Yes

    • @oscarmichel8893
      @oscarmichel8893 4 роки тому +8

      Builder : how many floors would you like ?
      Manager : how many bread did you eat in your life

    • @kerwwyngonzales9547
      @kerwwyngonzales9547 4 роки тому +3

      666 likes

    • @tevoi8057
      @tevoi8057 4 роки тому +5

      Legend says they are still building to this day

    • @Staeve64
      @Staeve64 4 роки тому +1

      minus 111 likes please

  • @kingvideogames
    @kingvideogames 4 роки тому +926

    *Room 6 is empty*
    *The cleaning lady:* “This, does put a smile on my face...”

    • @helios007
      @helios007 4 роки тому +29

      It doesn't matter how many rooms are empty since there are still infinite rooms to clean up! ^^

    • @dontguessnoname3042
      @dontguessnoname3042 4 роки тому +20

      Don't worry. There's infinite number of cleaning people in this building

  • @nomadx3313
    @nomadx3313 4 роки тому +4418

    day 10 of quarentine : I don't know what i am watching anymore ....

  • @trusevich
    @trusevich 10 місяців тому +3

    -Hello! So the hotel is completely full?
    -yes
    -may be room 7 available?
    -nope!
    -room 1876544?
    -occupied!
    -room 7262545277272722727?
    -no luck!
    -room n?
    -you wish!
    -room n to the n power
    -nope.
    -THAN WHAT IS ALL THAN NONCENCE ABOUT MOVING PEOPLE INTO THOSE OCCUPIED ROOMS?

    • @sola2943
      @sola2943 9 місяців тому

      Congratulations. That is why this thought experiment is for people who can't tie the shoelaces on both of their shoes.

  • @memekasagar4314
    @memekasagar4314 5 років тому +813

    I feel that the hotel manager is a tad overqualified for this job.

    • @ExplosiveBrohoof
      @ExplosiveBrohoof 5 років тому +16

      Doesn't matter, the pay's good.

    • @phattestass7530
      @phattestass7530 5 років тому

      just a tad 😂😁😂

    • @TheShadowVixeona
      @TheShadowVixeona 5 років тому +3

      True, but most anyone else would be terribly under qualified I think...

    • @EmeraldSpencer
      @EmeraldSpencer 5 років тому +13

      Actually, he's infinitely qualified.

    • @rolandcaters7258
      @rolandcaters7258 5 років тому +1

      Arbitrary Renaissance actually, the pay is infinite

  • @somazwolf5714
    @somazwolf5714 5 років тому +1647

    Imagine chilling in room 2 and then having to move to room infinity

    • @ExplosiveBrohoof
      @ExplosiveBrohoof 5 років тому +25

      Fortunately, if you're in room 2, you'll never be asked to move to room infinity!

    • @ccharistaa
      @ccharistaa 5 років тому +1

      @@ExplosiveBrohoof ß9

    • @ExplosiveBrohoof
      @ExplosiveBrohoof 5 років тому +1

      @hames stanfield none of the described instances maps 2 to 2^infty

    • @Suuupi1
      @Suuupi1 5 років тому +17

      There is no room infinity, cause infinity is no number and all the rooms have a number.

    • @mostazezo
      @mostazezo 5 років тому +1

      Is room ifinity an upgrade though thats the real questoion

  • @majorplatypus2091
    @majorplatypus2091 3 роки тому +2201

    I remember watching this video a few years ago and by the end of it, I hadn’t understood a single second of the solutions. I remember simply dazing on the video even after it was done - perplexed by how complex it felt. Over the years I have learnt more, explored more and applied more. Though I won’t go as far as saying this video has been haunting me through these years, I will say that the thought of its existence would occasionally spring up in mind, puzzle it and eventually disappear, only to come back later. But today this video finally appeared in my suggestion page and well I understood it this time. I know it’s trivial but it’s another something that I have learnt, and I am happy about it, especially because how simple I found it as compared to the first time I was faced with it. Well I guess now that all is said for no absolute reason, I’ll just tell you - have a good day.

    • @vrindatheresa9645
      @vrindatheresa9645 3 роки тому +77

      I feel you. Sometimes we just don't understand somethings no matter how we try... But then one day, out of nowhere, we clearly see through it... It is amazing...
      BTW, I still haven't figuted out this video yet.. But I am so happy for you 😊

    • @praj8058
      @praj8058 3 роки тому +6

      well suggest us, the confused viewers something about how will we understand

    • @THEMATT222
      @THEMATT222 3 роки тому +17

      Wholesome 100

    • @mar98co1
      @mar98co1 3 роки тому +22

      Gotta respect taking the patience and humility to understand unlike half the comments being like " this is wrong, i know better after a 10 minutes UA-cam video, than a 100 years of mathematicians. My intuitions are just that good" lol

    • @yohank7767
      @yohank7767 3 роки тому +2

      What grade are you in?

  • @shreyaskulkarni526
    @shreyaskulkarni526 2 роки тому +7

    Imagine coming to this hotel with infinite rooms and still not getting a room

    • @gwainexe9065
      @gwainexe9065 2 роки тому

      When you come in with an infinite amount of others, each with a infinitely long name consisting of a and b.

    • @nguyennhatnguyen8255
      @nguyennhatnguyen8255 Рік тому

      Binary: Allow me to introduce myself

    • @nguyennhatnguyen8255
      @nguyennhatnguyen8255 Рік тому

      AAAAAAAAAAAAAAAAAAA.................= 11111111111111111111111.............
      BBBBBBBBBBBBBBBBBBBBB..............=0000000000000000000...........

  • @adelmundoppo1485
    @adelmundoppo1485 5 років тому +2172

    "One night, the infinite hotel is FULL"
    Wait what

    • @cuongnguyenviet3417
      @cuongnguyenviet3417 5 років тому +36

      Adelmund Oppo yeah, this doesn’t make any sense

    • @omniscientomnipresent5500
      @omniscientomnipresent5500 5 років тому +13

      @@cuongnguyenviet3417 no, an infinite amount of person came

    • @Somersalsa
      @Somersalsa 5 років тому +27

      It can be infinitely filling up, but not full.
      Or at least I don't get it

    • @alfrednaccarato2359
      @alfrednaccarato2359 5 років тому +60

      @@omniscientomnipresent5500 it doesn't matter, the amount of rooms never end, therefore you can't ever run out of rooms or be full. This entire video makes zero sense.

    • @omniscientomnipresent5500
      @omniscientomnipresent5500 5 років тому +1

      @@alfrednaccarato2359 a 40 peoples hotel can be filled by 40 peoples so why a ∞ peoples hotel couldn't be filled by ∞ peoples ?

  • @socialistrepublicofvietnam1259
    @socialistrepublicofvietnam1259 5 років тому +905

    The Infinite hotel: *Exist*
    The Infinite IKEA Store: *Fnally, a worthy opponent. Our battle will be legendary*

    • @addust
      @addust 5 років тому +16

      SCP foundation: oooooo a new SCP to contain!
      Infinite IKEA store: you better put it right next to my containment
      SCP foundation: no, they're in a different continent

    • @subspace2913
      @subspace2913 5 років тому +2

      Could the stand arrow count as an scp

    •  5 років тому +2

      Then some guest opens room #θ-prime and the hotel collapses.

    • @TapanThakur1964
      @TapanThakur1964 4 роки тому +2

      The kung fu panda line

    • @endorflight3790
      @endorflight3790 4 роки тому +1

      but it was me dio

  • @petervandeventer8331
    @petervandeventer8331 5 років тому +344

    I'm just over here trying to have a nice sleep and the manager keeps telling me to move rooms. Had to give them 0 stars

    • @anymaths
      @anymaths 5 років тому +4

      watch my useful mathematics videos.

    • @DietyOfWind
      @DietyOfWind 5 років тому +1

      I give the hotel infinite bad ratings.

    • @JC_Cali
      @JC_Cali 5 років тому

      *infinity stars

    • @fuyfuy
      @fuyfuy 5 років тому

      Or the manager could simply change the number plates of the rooms assigned.

  • @aaronanderson499
    @aaronanderson499 9 місяців тому +1

    Imagine checking in at 5am and you have to go to room 9 quadrillion.

  • @abhimanyukumar9590
    @abhimanyukumar9590 3 роки тому +10207

    No matter how big the number is, it's always closer to Zero than Infinity!

    • @fajer11
      @fajer11 3 роки тому +315

      Deep

    • @munaimunai6444
      @munaimunai6444 3 роки тому +67

      Yes

    • @jakobbauz
      @jakobbauz 3 роки тому +91

      Love that.

    • @snehadas85
      @snehadas85 3 роки тому +60

      ah well it will also be close to its successive and previous number, if thats a whole number. If its a real number well, its infinitely close to the preceding and succeeding number.

    • @sankalpranjan1863
      @sankalpranjan1863 2 роки тому +20

      Wow ! I'll remember this dude. Also, is God Infinity ?

  • @RIFLQ
    @RIFLQ 3 роки тому +2289

    That manager has infinite brain cells

    • @findystonerush9339
      @findystonerush9339 3 роки тому +24

      And infindently smart!

    • @aryaankhan3725
      @aryaankhan3725 3 роки тому +5

      @@findystonerush9339 infidelity

    • @kylespencer6461
      @kylespencer6461 3 роки тому +8

      @@aryaankhan3725 Maybe you could use your visual prowess to put the infinite guests under genjutsu with your infinite chakra and make them feel accommodated.

    • @kylespencer6461
      @kylespencer6461 3 роки тому +2

      @Sister Supersonic launch the infinite tsukuyomi, problem solved

    • @ishigami5071
      @ishigami5071 3 роки тому

      But to be real it is not possible...

  • @TheMarshmelloSquid
    @TheMarshmelloSquid 3 роки тому +1947

    At the end of the video the word “infinite” doesn’t sound like a word anymore

  • @helloooooo140
    @helloooooo140 Рік тому +4

    After this extraordinary performance, the night manager was given a raise and now makes 7.50/hr from 7.25

  • @notmenotme614
    @notmenotme614 3 роки тому +3891

    Basically if you’re in room pi you can’t move anywhere else.

    • @sytrostormlord3275
      @sytrostormlord3275 3 роки тому +157

      You can always go to 2 pi... but after that you'll probably start running between those 2 rooms for infinity, as well as other guest, who were asked to go to room pi... so... everyone would be on corridor- switching rooms

    • @Jay-nh6um
      @Jay-nh6um 3 роки тому +10

      First of all, you can, like you would with any number. And why pi, specificly? There is a number of real numbers equal to Aleph 1, which can all be used in normal operations. Yes, pi has infinite digits, but even 1 has (1,0000000000000000000000000...), so I don't see the problem.

    • @eelueelu9069
      @eelueelu9069 3 роки тому +16

      Man u r right. Pi is having an infinite numbers of digits after decimal, which means that pi will never end and you will never be able to go to the next room but one thing u missed my boy is that all the rooms in hotel are having natural number as their room number.

    • @christophervandehey2614
      @christophervandehey2614 3 роки тому +3

      Also it's shaped like a circle.

    • @rmnc-qf4fp
      @rmnc-qf4fp 3 роки тому +15

      2:36 why worry about ur job when you have an infinite salary??

  • @otherlego
    @otherlego 5 років тому +2596

    “He could lose his job”
    bruh he makes infinity dollars are you on weed

    • @anymaths
      @anymaths 5 років тому +7

      you can watch my maths videos.

    • @yongironi1367
      @yongironi1367 5 років тому +26

      I always hear "on crack" but never "on weed" 😂

    • @boski.creations
      @boski.creations 5 років тому +2

      Hahahaha

    • @lorenzoperrone760
      @lorenzoperrone760 5 років тому +16

      Rincoglionito, if he loses his job, he'd lose an infinite amount of money

    • @SStupendous
      @SStupendous 5 років тому +14

      exactly, he has an infinite amount of money so that doesn't matter it's not like his Boss is going to take his money back if he quits

  • @courtneyflurry2439
    @courtneyflurry2439 5 років тому +2034

    Me: gets settled in room 49
    Manager: move to room 50
    Me: ok no problem
    Manager: now move to room 100
    Me: well this is a bit frustrating, but will do
    Manager: ma'am I'm going to need you to move to room 1,267,650,600,228,229,401,496,703,205,376

    • @callum7081
      @callum7081 5 років тому +46

      Lmao me in the infinite hotel

    • @xXSillyGooseXx
      @xXSillyGooseXx 5 років тому +5

      Lmao

    • @timothy-9995
      @timothy-9995 5 років тому +27

      I like that you actually calculated the numbers instead of putting in random numbers.

    • @Acroflame
      @Acroflame 5 років тому +3

      Well the thing is only if there is infinite people in the hotel

    • @saflovesyou
      @saflovesyou 5 років тому

      Omicron Force who cares

  • @blahajgang
    @blahajgang 2 роки тому +14

    imagine taking an elevator to the final floor 💀

  • @xMogek
    @xMogek 5 років тому +1551

    Wouldn’t it take the manager an infinite amount of time to ask everyone to move rooms?

    • @pietaa1
      @pietaa1 5 років тому +25

      Moge it would take every guest some time adding up to aleph noll

    • @NcKyPmHzPPcrnTEat
      @NcKyPmHzPPcrnTEat 5 років тому +33

      What about an intercom system?

    • @xMogek
      @xMogek 5 років тому +51

      N1cKyP4mH4zP0Pc0rnT0Eat electrical signal to play your voice over the intercom would take an infinite amount of time to reach every speaker

    • @Liessssssssssss
      @Liessssssssssss 5 років тому +67

      The maid does it, that's why she looks so angry all the time

    • @elhamhemat572
      @elhamhemat572 5 років тому +12

      No, because a computer scientist already created algorithms for a computer software which can tell the guests infinite times.

  • @colmm6964
    @colmm6964 5 років тому +1345

    I spent 6 minutes watching a video telling me that infinity is infinite

  • @EvilJimmyPark
    @EvilJimmyPark 5 років тому +1221

    Manager: hi ur gonna have to move to room 42069
    Me: nice

    • @othonielmolinaargueta3442
      @othonielmolinaargueta3442 5 років тому +28

      More like: You'll need to move to room 345,748,838,889,226,728,826,528,282,828,282,629,529,772,628,738,538,729,628,728,827,419,319,420,026,001,519,520,001,510,528,000,000,000,000,729,620,729 to the 639,729,820,829,829,000,629,729th power

    • @Ke.442
      @Ke.442 5 років тому +18

      Othoniel Molina Argueta You really dont get the joke do you

    • @maximtimmermans973
      @maximtimmermans973 5 років тому +7

      @@Ke.442 I cringe reading your comment.

    • @robenkhoury7079
      @robenkhoury7079 5 років тому +2

      @@othonielmolinaargueta3442 dude

    • @ryann6230
      @ryann6230 5 років тому

      Nice

  • @gamerxtreme1354
    @gamerxtreme1354 6 місяців тому +1

    Imagine looking out the window in the morning and seeing an infinite amount of infinite busses with infinite people