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Strongly inaccessible cardinal
A cardinal number κ > א0 is called strongly inaccessible iff the following conditions hold:
- κ is weakly inaccessible; that is, cf(κ) = κ.
- κ is a strong limit[?], that is, 2λ < κ for all λ < κ.
Assuming that ZFC is consistent, the existence of strongly inaccessible cardinals provably cannot be proved in ZFC.
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