Ask all the guests in rooms >= 2 to move over one, then move into room 2.
There is always a vacancy.
You will eventually reach a room with a worse situation than that one, and then your entire edifice falls apart again.
I once brought infinite* baggage to the infinite hotel. I was told to leave an infinite** amount of times, but I have an infinite** amount of time to wait in at the hotel lobby bar, drinking infinite** beers, until the infinite* taxi’s arrive.
* = levels of infinity
In finite we trust.
Did you tip infinite?
If they just have the guests stay in even numbered rooms, then they’ll always have an infinite number of rooms free.
Are they free if you can’t put people in them?
Asking the real questions here.
I wonder if the world would be any different if Hilbert had never lived.
