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In this house we believe: Sets exist Sets with the same elements are equal For any two sets, there’s a set containing both Filtering a set makes a subset A set of sets can be union’d into a set The set of all subsets of a set, the powerset, exists Sets can be infinite, like <b>ℕ</b> Applying a function to the elements of a set makes a set No set contains itself A set’s elements can be put in order There is no <b>∞</b> between the sizes of <b>ℕ</b> and the powerset of <b>ℕ</b>
version 2026.07.22