Paradox: how to fill up the infinite-room Hilbert Hotel

[Retro]

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]

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]

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.