trick question, the hotel is infinite, so you can move guest 1 to room 2, guest 2 to room 3 and so on and have room 1 leftover for Sisyphus and his boulder, therefore he is indeed happy
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.
trick question, the hotel is infinite, so you can move guest 1 to room 2, guest 2 to room 3 and so on and have room 1 leftover for Sisyphus and his boulder, therefore he is indeed happy
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