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Thank you, thank you, thank you . . . (ad infinitum), Anonymous, for some common sense rather than the abundant sophistry thrown out about infinity. I do not exclude Cantor!!! There are no infinities larger than any other, because no matter what 'sophist...icated' and clever scheme you may contrive to create the illusion of differing orders of magnitude, the fact remains that infinity, by the very nature of the concept, is NOT A NUMBER and an infinity of anything is not (by definition) an amount, and is NOT A MAGNITUDE. Comparisons and distinctions of quantity or magnitudes cannot be made of 'things' (concepts or otherwise) that are NOT quantities or magnitudes! Every type of 'infinity', by definition, goes on forever, it never concludes. Demonstrating that a counting system can be set up for some and not for others says nothing about the magnitude, or relative magnitude of either. Each goes on forever regardless of whether we can conceive one-for-one relationships between or among them.