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Infinite Hotel Paradox (lemmy.world)
submitted 5 days ago by cyrano@lemmy.dbzer0.com to c/science_memes@mander.xyz
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cross-posted from: https://lemmy.world/post/25703033

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

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[-] psud@aussie.zone 3 points 4 days ago

The hotel should really just fill its even numbers rooms first, then if another person turned up after you already have an infinity of guests, you just house this start of a new Infinity in room 1 etc

[-] mexicancartel@lemmy.dbzer0.com 1 points 4 days ago

What if they filled in multiples of 3? They get vacant space for infinitr people twice. Well just fill people as multiple of infinity, so that infinite times infinite people can fill it in

[-] psud@aussie.zone 1 points 4 days ago

Let's leave some space for all the types of infinities and only fill every hundredth room

[-] mexicancartel@lemmy.dbzer0.com 2 points 4 days ago

Well every infiniteth room is better

[-] Robust_Mirror@aussie.zone 1 points 3 days ago

There are infinite types of infinity. Crazy right?

this post was submitted on 17 Feb 2025
456 points (98.1% liked)

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