A <strongly inaccessible cardinal> is an uncountable <regular cardinal> $\kappa$ that is also a :
$$
\lambda<\kappa\quad\Longrightarrow\quad2^\lambda<\kappa.
$$

Solution

Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 116 / 1 / a / i / Solution

{wiki=Inaccessible_cardinal}

A strongly inaccessible cardinal is an uncountable regular strong limit cardinal.


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