Is infinity represented only by Cantor’s full hierarchy of
transfinite numbers (Alephs), since no Aleph is...
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Is infinity represented only by Cantor’s full hierarchy oftransfinite numbers (Alephs), since no Aleph is large enough tonumber all the Alephs in the hierarchy? Has Cantor has notcaptured, mathematically, “genuine” infinity?
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The notion of infinity gets refracted into a spectrum of different transfinite cardinalities when it is passed through the prism of CantorsSet Theory Using the criterion that countably infinite sets are the ones that can be put into an infinite sequence or placed in onetoone correspondence with N we were able to prove several results about such sets The familiar sets of numbers Z Q and were all shown to be countably infinite and the
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