If the number of guests is countable (which is the usual assumption in Hilbert’s setup), then every guest will only have to travel a finite (albeit unboundedly long) distance before they reach their room.
Yes a very very long distance which I suppose means anyone who is booking in must not be planning on going anywhere else. This hotel could be the final destination, I hope they have a good room service.
But if an infinite number of guests show up, then they might have to travel an infinite distance to their hotel room.
If the number of guests is countable (which is the usual assumption in Hilbert’s setup), then every guest will only have to travel a finite (albeit unboundedly long) distance before they reach their room.
Yes a very very long distance which I suppose means anyone who is booking in must not be planning on going anywhere else. This hotel could be the final destination, I hope they have a good room service.