this post was submitted on 15 Jul 2023
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Not entirely true.
There are conditions where an infinite hotel can "run out" of rooms. Veritasium has a great video on this. Here's the link because there's no earthly way a dumbass like me can explain it intelligibly with just words.
https://youtu.be/OxGsU8oIWjY?t=194
This would be the case if we tried to fit an uncountable infinity into the hotel. But there is only one Sisyphos and one boulder, so we can use the above trick