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Infinite Hotel Paradox
(lemmy.world)
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this post was submitted on 17 Feb 2025
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Luckily with infinite rooms there are an infinite amount of people checking out so I'll just wait until one comes avail-
Ah, my room is ready.
Now you have to walk infinity to get to your room, which is by an infinite amount of ice machines and elevators.
The closest one that left is not infinite though. It has a set number.
But there's also infinite demand for rooms, otherwise the hotel would have long gone bankrupt.
Nah, tax scheme keeps it open
Good one. lol
But being infinite, would this actually matter...?
Somebody ask Matt Parker real quick.
It would matter in the sense that the time you'd have to wait for a vacant room is between 0 and infinity.
Actually, the time you'd have to wait would be proportional to (rooms / demand), and since both are infinite, that's undefined. You'd be waiting for undefined time, which IMO is worse than waiting infinite time!