How An Infinite Hotel Ran Out Of Room
29,074,880
Published 2021-05-10
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References: Ewald, W., & Sieg, W. (2013). David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1917-1933. Springer Berlin Heidelberg. -- ve42.co/Ewald2013
Gamow, G. (1988). One, two, three--infinity: facts and speculations of science. Courier Corporation. -- ve42.co/Gamow1947
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Special thanks to Patreon supporters: Paul Peijzel, Crated Comments, Anna, Mac Malkawi, Michael Schneider, Oleksii Leonov, Jim Osmun, Tyson McDowell, Ludovic Robillard, jim buckmaster, fanime96, Juan Benet, Ruslan Khroma, Robert Blum, Richard Sundvall, Lee Redden, Vincent, Marinus Kuivenhoven, Alfred Wallace, Arjun Chakroborty, Joar Wandborg, Clayton Greenwell, Pindex, Michael Krugman, Cy 'kkm' K'Nelson, Sam Lutfi, Ron Neal
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Animation by JD Pounds and Jonny Hyman
Thumbnail by Ivy Tello
Music by Jonny Hyman and from Epidemic Sound and E's Jammy Jams (Hotel Lavish - Radio Nights, Steps in Time - Golden Age Radio, What Now - Golden Age Radio, Book Bag - E's Jammy Jams, Arabian Sand - E's Jammy Jams, Firefly in a Fairytale - Gareth Coker)
Written By Derek Muller and Alex Kontorovich
Sound Design by Jonny Hyman
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All Comments (21)
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Hotel manager: "You want a room, sir? No problem. The last room at the end of the hall is still free. Just follow the hall and you'll get there. Eventually."
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Imagine disturbing an infinite amount of clients just to fit one more person in the hotel
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"Hey,you need to move to the room 748374896246326423874,and the elevator is broken,sorry for it" "....."
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I like how he explained it in such an understandable way to shield my brain from realizing I actually understood nothing.
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Dude, the people staying in that hotel must be pissed having to move so much.
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Imagine spending the whole holiday just to reach to your room in an infinite hotel
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"Do you know my friend?" "Who?" "Abababababababababababababababababababababababa...."
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Youtube bugged and I watched this with no audio and it was such a mood, I recommend
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"All right, everyone, move to the room number that's twice your current room number." Guy at Room One Billion: "Ugh, fine..."
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“An infinite number of infinite busses.” - “Dear god.” “But now a big bus pulls up” - “No.”
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"Hey honey how was work?" "Rough day. An infinite number of infinite buses showed up."
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I booked 1 night in the Hilbert Hotel and it was horrible! It was 10pm at night when I arrived and the receptionist asked me to move to room 13739 and the elevator is still broken as many comments mentioned here, plus a 30003 seater bus pulled up and the receptionist asked me to shift to room 43742 and I had no time to collect my stuff I brought to the hotel with me. The other guy who took my original room who was on the bus also took my stuff, INCLUDING my laptop. Even when I was sleeping, I was asked to SHIFT to double of my room number and was like "F********** this" and completely checked out at 1 in the morning instead of 12 noon which I promised to the receptionist. Bad hotel, don't go here. Would give 0 stars if there was even an option.
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Dont you hate it when you're working as hotel manager and then infinite amount of busses full of infinite people decided to use your hotel
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Imagine being so unlucky that you don't even get a room in an infinite hotel.
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I can't wrap my head around the concept of infinity.
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You think THAT'S bad? Let's assume 1% of the population is disagreeable. That means an infinite number of customers will refuse to leave their room and move to another one.
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This hotel's manager needs an infinite raise
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Imagine just unpacking and being told to move 100 rooms down
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The logic of the last example is how they proved there are more decimal numbers between 0 and 1 than there are integers from 0 to infinity
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This is the best explanation of countable vs uncountable I have heard so far.
