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 re(3): But...
Yes, I suppose it would be unreasonable in the first place. However, nobody forced him to sign into your hotel. If he knowingly rents room #1000000000, it's really his problem. On the other hand, if you're making him move rooms without his consent, that's not fair to him.
However, I've already conceded this point, so you're beating a dead horse. ^_^
Posted by TamTam
on 2007-02-03 12:33:09