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:
“It’s a great huge game of chess that’s being played—all over the world—if this is the world at all, you know. Oh, what fun it is! How I wish I was one of them! I wouldn’t mind being a Pawn, if only I might join—though of course I should like to be a Queen, best.”
—Lewis Carroll [Charles Lutwidge Dodgson] (1832–1898)
“What people don’t realize is that intimacy has its conventions as well as ordinary social intercourse. There are three cardinal rules—don’t take somebody else’s boyfriend unless you’ve been specifically invited to do so, don’t take a drink without being asked, and keep a scrupulous accounting in financial matters.”
—W.H. (Wystan Hugh)