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Axiom of constructibility

Definition

The axiom of constructibility is a possible axiom for set theory in mathematics that asserts that every set is constructible. The axiom is usually written as V = L, where represents the von Neumann universe of all well-founded sets, and represents the constructible sets. In Zermelo–Fraenkel set theory (ZF), the property of being constructible is expressible as a single formula , and every set is in , so the axiom can be written in the language of ZF in the form .

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