Encyclopedia > Totally indescribable cardinal

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Totally indescribable cardinal

A cardinal number κ is called totally indescribable iff for every proposition φ and every A ⊆ Vκ with (Vκ, ∈, A) ⊧ φ there exists an α < κ with (Vα, ∈, A ∩ Vα) ⊧ φ.



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