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Infinite Hotel Paradox
(lemmy.world)
Comic Strips is a community for those who love comic stories.
The rules are simple:
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Ask all the guests in rooms >= 2 to move over one, then move into room 2.
There is always a vacancy.
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 ;)
You will eventually reach a room with a worse situation than that one, and then your entire edifice falls apart again.