The Infinite Hotel Paradox - Jeff Dekofsky

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  • Published on: 16 January 2014
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    The Infinite Hotel, a thought experiment created by German mathematician David Hilbert, is a hotel with an infinite number of rooms. Easy to comprehend, right? Wrong. What if it's completely booked but one person wants to check in? What about 40? Or an infinitely full bus of people? Jeff Dekofsky solves these heady lodging issues using Hilbert's paradox.

    Lesson by Jeff Dekofsky, animation by The Moving Company Animation Studio.
  • Runtime : 6:
  • Jeff Dekofsky Nadav Arbel Moving Company Animation Studio Infinite Hotel Infinity Hotel Infinite Hotel Paradox Infinity Hotel Paradox Hilbert's Hotel Grand Hotel Hilbert's Grand Hotel infinity what is infinity how big is infinity how to understand infinity TED TED-Ed TED Ed TEDEducation math paradox math problem mathematics thought experiment

COMMENTS: 40

  • Shweta K V
    Shweta K V   9 minuts ago

    I really lost some of my brain cells trying to to understand the video . Everything was a bouncer for me🤦🤦🤦

  • Vivek S
    Vivek S   44 minuts ago

    Instead of changing the rooms of the old guests,he could have put new guests in new rooms🤷‍♂️

  • Dhanu
    Dhanu   3 hours ago

    Amazing videoThis video deserve infinite views.I have never watched such a mind blowing video ever in my life. I don't have words to appreciate this video, I was lost in imagination and feeling of infinity hotel while watching this video.

  • joannes blache
    joannes blache   11 hours ago

    So the hotel is not realy infinite, because it's literaly been full as you said, that must be a language abuse. I assume what you meant is "the hotel may be extended infinitly" which is slightly better '-'

  • さくら
    さくら   12 hours ago

    Am I the only person who actually understands this? Lol

  • Nikita Karamov
    Nikita Karamov   12 hours ago

    This video just helped me get a good grade in my uni classes. This stuff turned out to be more useful than all of my lectures combined xD

  • Ashik Jayan
    Ashik Jayan   15 hours ago

    everything is infinite - no worries !

  • M.Z. Fakir
    M.Z. Fakir   16 hours ago

    Hit like for Mr. David hilbert , Who created this experiment.👇👇

  • Gaming Zone
    Gaming Zone   16 hours ago

    Dude cmon, u already occupied all the numbers while dividing the rooms into odd and even ones. Alloting room no's of prime number'power doesnt make sense as all of them are either odd or even!

  • Harsh BORICHA
    Harsh BORICHA   16 hours ago

    Mean while person at the 2^7384748838477482+83784928466483846638383 floor and 6^3737826482929743829×74838374+73728847289858 room is shouting for dinner

  • Kush Patel
    Kush Patel   19 hours ago

    If the hotel had infinite number of rooms then why do all of this? Just move the new customer to the next room. Would save the manager from such brainstorming and the customers from disturbed sleep

  • CT-638
    CT-638   22 hours ago

    "Hey manager! Can i get room service in room 8275882737848873848727837628?"

  • Narendra Singh
    Narendra Singh   22 hours ago

    I will take my infinite amount of salary and leave this job for infinite amount of time, And I lost infinite amount of my brain on this.

  • Pratik Nagpure
    Pratik Nagpure   1 days ago

    "The guest in the π room expects a free desert"Lol🤣

  • Edward Zamora
    Edward Zamora   1 days ago

    WHY AM I WATCHING THIS AT 2AM?!? My head aches🤦‍♂️

  • neoncan
    neoncan   1 days ago

    When the intro starts the is something glithy

  • The Laughing Wizard
    The Laughing Wizard   1 days ago

    If your shift your so called paid guest, they will leave you hotel, and the loss will be infinite since then, and you might get bankrupt

  • Scratch Robotics
    Scratch Robotics   2 days ago

    It would take an infinite amount of time to move all those guests. Reason: The manager cannot knock all the doors to move the guests (or he will have to do it infinity times). He also cannot send a signal, because the hotel is infinitely high, and light is travelling at a finite speed. Infinity/Finite Number = Infinity.

  • Menna Alashker
    Menna Alashker   2 days ago

    well, I wouldn't be a happy customer at this hotel, if you kept me moving me from one room to another

  • Cabal Paxiarch
    Cabal Paxiarch   2 days ago

    What is the point of all this? Infinity is a theoretical concept, you'll never use it. Why do mathematicians always try to find meaning in what they do? Like there's a deeper level waiting to be uncovered. Just make sure buildings don't fall and cars don't crash and stop obsessing over pointless nonsense.

  • Brady Hoang
    Brady Hoang   2 days ago

    Imagine having to go to room 99999999999999999999999999999999999999999999999999999999

  • Mārtiņš
    Mārtiņš   2 days ago

    Cannot strech infinite, if this is maximum what we have. This is like someone in stone age count distances to moon, when in real life he dont know nothing about it.

  • NOOB-KING
    NOOB-KING   2 days ago

    My brain stop working after waching this

  • Eagle Fly
    Eagle Fly   2 days ago

    ummm 16 is 4^2 and 2^4 uh funny just now i noticed that they need eachother to do that

  • Eternal 85
    Eternal 85   2 days ago

    Try wrapping this whole video around ur head u would get lost completely

  • MINH DUC PHAM
    MINH DUC PHAM   2 days ago

    the fact that it is full is mathically impossible

  • Ye Nah
    Ye Nah   3 days ago

    Lol if I was the manager I would take the infinite amount of money and quit.

  • João Vitor
    João Vitor   3 days ago

    Manager i need more toilet paper in room 52737460807521

  • Cardiepie
    Cardiepie   3 days ago

    Imagine if there were infinite of these Hotels