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:: Looks like the list ''S'' already contains all the sequences ''S(i)'', because every index ''i'' corresponds to a position inside the sequences, and no new positions can be added because we have agreed that the sequences are already presented in full (although it is impossible to imagine them being presented so). Still, this all is counter-intuitive (intuition tells we cannot do anything to infinite lists and sequences because infinite lists and sequences do not exist in the real world where it's possible to act).
:: Probably, the article could better go into some detail on why and for what the diagonal argument being applied to natural and real numbers is important in mathematics as well as in the "real world", so that a lay reader like me could really understand there is no life without this argument in this or that important field of human activity or imagination. A layman's view is that generic real numbers correspond to nothing in the world we see and experince, and in this sense do not exist, that they are only idealizations of our real and always finite knowledge, and that infinite lists of numbers (be they real or natural) do not exist in the same way, so any layman and not only me is naturally interested why mathematicians study different kinds of non-existence. [[Special:Contributions/91.122.7.114|91.122.7.114]] ([[User talk:91.122.7.114|talk]]) 00:51, 19 January 2013 (UTC)
==Cantor's Nonsense: Pseudo-mathematics at its best.==
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