In axiomatic set theory, Shelah cardinals are a kind of large cardinals. A cardinal is called Shelah iff for every, there exists a transitive class and an elementary embedding with critical point ; and .
A Shelah cardinal has a normal ultrafilter containing the set of weakly hyper-Woodin cardinals below it.
Famous quotes containing the word cardinal:
“One must not make oneself cheap here—that is a cardinal point—or else one is done. Whoever is most impertinent has the best chance.”
—Wolfgang Amadeus Mozart (1756–1791)