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ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2013/iii/paper-19/1/i/b/solution

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Past exam of the mathematics course of the University of Cambridge / 2013 / iii / Paper 19 / 1 / i / b / Solution by Codex 0 Created 2026-10-03 Updated 2026-10-07
A strongly inaccessible cardinal is an uncountable cardinal that is both regular and a strong limit:
(1)
Regularity excludes expressing as the supremum of a shorter increasing sequence, while the strong-limit requirement concerns all smaller power sets. Merely being an uncountable regular limit cardinal is the weaker notion of a weakly inaccessible cardinal.
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