Mathematical logic and foundations Large cardinals Concept
Woodin cardinal
Summary
A Woodin cardinal is a large cardinal defined by elementary embeddings that reach high into the universe. It is named after W. Hugh Woodin. Woodin cardinals are the large cardinals behind determinacy: Martin and Steel proved that infinitely many Woodin cardinals imply projective determinacy. A Woodin cardinal is Mahlo, but it need not be weakly compact or measurable.
Further reading
About this page
| Tag | CMC2C1D53W |
|---|---|
| URI | m2://CMC2C1D53W |
| Kind | concept |
| Writing | W0 stub |
| MSC | 03E55, 03E60 |
| Specializes | Large cardinal |
| Same as | |
| Changed | 2 November 2026 |
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