I know that there are several models of the real numbers, some where the Continuum Hypothesis holds, others where it does not. I would like to understand why the usual definition of the reals, limits of Cauchy sequences of rational numbers under the usual absolute value norm, isn't one of these models and why then one can not decide the Continuum Hypothesis for it in particular.(adsbygoogle = window.adsbygoogle || []).push({});

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# A Models of the Real Numbers

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