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446

Infinite Hotel Paradox (lemmy.world)

submitted 5 days ago by [email protected] to c/[email protected]

39 comments fedilink hide all child comments

cross-posted from: https://lemmy.world/post/25703033

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

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[–] [email protected] 20 points 5 days ago (2 children)

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.

[–] [email protected] 5 points 4 days ago (1 children)

Now you have to walk infinity to get to your room, which is by an infinite amount of ice machines and elevators.

[–] [email protected] 2 points 4 days ago (1 children)

The closest one that left is not infinite though. It has a set number.

[–] [email protected] 1 points 4 days ago (1 children)

Yes it is.

[–] [email protected] 2 points 4 days ago

No it isn't.

Stay tuned for the next episode of internet argument.

[–] [email protected] 6 points 4 days ago (2 children)

But there's also infinite demand for rooms, otherwise the hotel would have long gone bankrupt.

[–] [email protected] 1 points 4 days ago* (last edited 4 days ago) (1 children)

Good one. lol

But being infinite, would this actually matter...?
Somebody ask Matt Parker real quick.

[–] [email protected] 2 points 4 days ago

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!

[–] [email protected] 3 points 4 days ago

Nah, tax scheme keeps it open