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25 March 2024
4 September 2023
3 September 2023
RhubarbJayde
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RhubarbJayde
Created page with "The continuum hypothesis (CH) is the assertion that there are \(\aleph_1\) many real numbers, or, equivalently, that \(2^{\aleph_0} = \aleph_1\). This is formulated in the context of the axiom of choice, and \(\aleph_1\) is the smallest uncountable cardinal. It is equivalent to the following assertion: "for every \(A \subseteq \mathbb{N}\), either \(A\) and \(\mathbb{N}\) have the same size, or \(A\) and \(\mathbb{R}\) have the same size". In the con..."
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