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Jul29-10, 04:11 PM
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I'm not saying it's not possible to make it rigorous, or even to just work with it under the assumption of understanding, I'm just pointing out that technically it's as unmathematical as saying such things as 'the infinitieth digit 0.999...'
Just to be clear -- this comment is not aimed at finite strings of chained inequalities, but instead to the infinite string, right?