Huge Cardinal
In mathematics, a cardinal number κ is called huge if there exists an elementary embedding j : V → M from V into a transitive inner model M with critical point κ and
Here, αM is the class of all sequences of length α whose elements are in M.
Huge cardinals were introduced by Kenneth Kunen (1978).
Read more about Huge Cardinal: Variants, Consistency Strength, ω-huge Cardinals
Famous quotes containing the words huge and/or cardinal:
“When you think of the huge uninterrupted success of a book like Don Quixote, you’re bound to realize that if humankind have not yet finished being revenged, by sheer laughter, for being let down in their greatest hope, it is because that hope was cherished so long and lay so deep!”
—Georges Bernanos (1888–1948)
“In nothing was slavery so savage and relentless as in its attempted destruction of the family instincts of the Negro race in America. Individuals, not families; shelters, not homes; herding, not marriages, were the cardinal sins in that system of horrors.”
—Fannie Barrier Williams (1855–1944)