Don’t worry, you can never be put in a room with an infinite number, only an arbitrarily large one. That’s the idea of the hotel; it has an infinite number of rooms, but every room has a finite number, since you can count forever without reaching infinity.
The only issue is that if I have to travel to an infinite distance to the lobby, I’ll never check out.
Don’t worry, you can never be put in a room with an infinite number, only an arbitrarily large one. That’s the idea of the hotel; it has an infinite number of rooms, but every room has a finite number, since you can count forever without reaching infinity.