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Infinite Hotel Paradox (lemmy.world)

submitted 2 months ago by livbon@lemmy.world to c/comicstrips@lemmy.world

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https://en.wikipedia.org/wiki/Hilbert%27s_paradox_of_the_Grand_Hotel

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[-] Nougat@fedia.io 40 points 2 months ago

Ask all the guests in rooms >= 2 to move over one, then move into room 2.

There is always a vacancy.

[-] tigeruppercut@lemmy.zip 33 points 2 months ago

Then housekeeping has to re-clean infinite rooms before everyone can resettle, which only works if you have infinite cleaners. Just walk down to the infinite + 1 room and no one has to move ;)

[-] marcos@lemmy.world 11 points 2 months ago

You will eventually reach a room with a worse situation than that one, and then your entire edifice falls apart again.

[-] tetris11@lemmy.ml 9 points 2 months ago* (last edited 2 months ago)

I once brought infinite* baggage to the infinite hotel. I was told to leave an infinite** amount of times, but I have an infinite** amount of time to wait in at the hotel lobby bar, drinking infinite** beers, until the infinite* taxi's arrive.

* = levels of infinity

[-] kambusha@sh.itjust.works 7 points 2 months ago

In finite we trust.

[-] Gloria@sh.itjust.works 3 points 2 months ago

Did you tip infinite?

[-] jonc211@programming.dev 7 points 2 months ago

If they just have the guests stay in even numbered rooms, then they’ll always have an infinite number of rooms free.

[-] palordrolap@fedia.io 13 points 2 months ago

Are they free if you can't put people in them?

[-] General_Effort@lemmy.world 5 points 2 months ago

I wonder if the world would be any different if Hilbert had never lived.

this post was submitted on 17 Feb 2025

266 points (100.0% liked)

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