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Ah, dear old Aleph 1: the cardinality of certain uncountably infinite sets. That old chestnut. Georg Cantor played around with this in his so-called continuum hypothesis which claims that there is no set whose size is strictly between that of the integers and that of the real numbers. Now I know what you are thinking: Georg old fella, that is crazy talk: you know as well as I do that there is no way of proving or disproving that sort of nonsense, particularly if you are going to bring in those stupid Zermelo-Frankel axioms. And I’m trying to watch the footy, will you pipe down? Oh, and it is your round, you insufferable long-winded long-dead long-bearded fool. Read the rest of this entry »