The Infinite Hotel Paradox  Jeff Dekofsky
 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:
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COMMENTS: 40

Vivek S 44 minuts ago
Instead of changing the rooms of the old guests,he could have put new guests in new rooms🤷♂️

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 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 ''

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

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

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

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.

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 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 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 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 2 days ago
Imagine having to go to room 99999999999999999999999999999999999999999999999999999999

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.

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