this post was submitted on 17 Feb 2025
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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] 8 points 4 days ago

If you have n rooms and n guests there are no empty rooms. Let n go to infinity and there should still be no empty rooms.

The trick of the Hilbert hotel is that if you add a guest to a hotel with countably infinite guests the number of guests does not change.