How to fill up the infinite-room Hilbert Hotel

Retro

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The natural response is "no way!" Yet there is. Watch the video to see how.

Nerd level: hang on, how does that work?

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Arantor

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Infinity doesn’t behave intuitively, not really surprisingly because it’s a pretty abstract concept we’re not really equipped to deal with. Lots of things at that scale behave unintuitively and with often “oh yeah!” moments.
 

Retro

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Indeed and there are certain obscure things about infinity and zero where even mathematicians aren't always 100% clear or in agreement on, if I remember correctly. I'll have a look and see if I can find an article on this.
 
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