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"Hilbert's Hotel," by Ian Stewart. New Scientist, 19/26 December 1998 -2 January 1999, pages 59-61.
It was supposed to be a relaxing holiday for the Smiths, but stuck onthe Viagran Islands with nowhere to stay, they find the onlyhotel completely full. But have no fear -- this is the Hilbert Hotel,where there is always room for one more! At the Hilbert Hotel, youwill find infinitely many rooms, and uncountably many laughs!
--- Benjamin Stein