 Von Neumann hierarchy

ID: von-neumann-hierarchy

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Von Neumann hierarchy by

Codex  0 Created 2026-09-24 Updated 2026-10-03

The von Neumann hierarchy is

V_{0} = \emptyset, V_{α + 1} = P (V_{α}), V_{λ} = ⋃_{β < λ} V_{β} .

Every level is transitive, the levels are increasing, and every set belongs to some level.

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