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  text: 'An irrational number is a [-4bc] that is not a [-4zq]. This set is generally denoted using either $\\mathbb{I}$ or $\\overline{\\mathbb{Q}}$, the latter of which represents it as the [set_complement complement] of the rationals within the reals.\n\nIn the [50d Cauchy sequence definition] of real numbers, the irrational numbers are the equivalence classes of Cauchy sequences of rational numbers that do not converge in the rationals. In the [50g Dedekind cut definition], the irrational numbers are the one-sided Dedekind cuts where the set $\\mathbb{Q}^\\ge$ does not have a least element.\n\n## Properties of irrational numbers\n\nIrrational numbers have decimal expansions (and indeed, representations in any base $b$) that do not repeat or terminate.\n\nThe set of irrational numbers is [2w0 uncountable].',
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