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Retrieving "Cantors Theorem" from the archives

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  1. Cardinality

    Linked via "Cantor's Theorem"

    Higher Powers
    The set of all subsets of a set $A$ (its power set, $\mathcal{P}(A)$) always has a strictly greater cardinality than $A$. This relationship is formalized by Cantor's Theorem:
    $$|A| < |\mathcal{P}(A)|$$