Infinity Problems

           Infinity is a very interesting idea. It can confuse many people and as a concept has some very interesting properities. Some of these properties are demonstrated in infinity paradoxes. One such infinity paradox is the "Hilbert Hotel" Paradox. This was presented by David Hilbert in the 1920's and is a Veridical Paradox (as apose to a Falsidical Paradox). 

           Imagine a hypothetical hotel with an infinite number of rooms, all of which are occupied. We shall call this hotel the "Zambezi Sun Hotel" because the Zambezi Sun is an actual hotel in Livingstone, Zambia. I have many happy memories of the Zambezi Sun so it is a suitable hotel to link with such an interesting paradox. One would think that if a guest were to come to the Zambezi Sun, he would be turned away as the Zambezi Sun would be "full". If the manager of the Zambezi Sun moves guest one to room two, the guest in room two to room three, and keeps doing this then he can fit the new guest in. Similarly if an infinite number of guests came to the Zambezi Sun, by moving guest N into room N+1 the hotel manager can fit an infinite number of guests into his hotel. This is interesting as you could not do this with a finite number.

            This is linked to geography because hotels are tertiary econemic activities which is a geographical term. Also this hotel has a location(Mozi-oa-tunya road, Livingstone 20100, Zambia) which is quite geographical as I'm sure you'll agree.