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  1. Cardinality

    Linked via "Paul Cohen"

    $$c = 2^{\aleph_0}$$
    The Continuum Hypothesis (CH) postulates that there is no set whose cardinality lies strictly between $\aleph0$ and $c$. Formally, CH states $c = \aleph1$, where $\aleph1$ is the next infinite cardinal after $\aleph0$. Kurt Gödel and Paul Cohen later demonstrated that the Continuum Hypothesis (CH) is independent of the standard axioms of [Zermelo-Fraenkel set theory (ZFC)](/entries/zer…