In mathematical set theory, a worldly cardinal is a cardinal κ such that the rank Vκ is a model of Zermelo–Fraenkel set theory. A strong limit cardinal κ is worldly if and only if for every natural n, there are unboundedly many ordinals θ < κ such that Vθ ≺Σn Vκ.
In mathematical set theory, a worldly cardinal is a cardinal κ such that the rank Vκ is a model of Zermelo–Fraenkel set theory. A strong limit cardinal κ is worldly if and only if for every natural n, there are unboundedly many ordinals θ < κ such that Vθ ≺Σn Vκ.
Source: Wikipedia "Worldly cardinal" · CC BY-SA 4.0
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