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The Axiom of Regularity, also known as the Axiom of Foundation, is one of the axioms of set theory, specifically within the context of Zermelo-Fraenkel set theory (ZF). This axiom can be stated informally as follows: Every non-empty set \( A \) contains an element that is disjoint from \( A \).

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  1. Wellfoundedness
  2. Order theory
  3. Fields of mathematics
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