In the universe Roomeron, there are infinitely many planets. Each planet has an infinite number of hotels, and each hotel has an infinite number of rooms. Since the business is so great, you decide to build a hotel of your own, also with an infinite number of rooms. To keep track of the rooms, each is numbered starting at 1. The hotels and planets are similarly numbered.
During the current tourist season, every room of every hotel, (including yours) on every planet is full. A freak catastrophe occurs in every other hotel besides yours and their rooms become trashed. The guests from those hotels ask to stay in your unwrecked hotel.
How can you put the infinitely many guests from infinitely many hotels from infinitely many planets in your already full hotel?
(In reply to But...
Heh that would be hard on them... but fortunately you made sure they pre-paid.
Though I think every guest has a finite room number, so every guest will only have to walk a finite distance (equal to their room number) to get to their new room. They will have to do it at the same time though, or the hallways will get clogged.
Posted by Gamer
on 2007-01-28 01:20:20