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)
“Time and I against any two.”
—Spanish proverb.
Quoted by Cardinal Mazarin during the minority of Louis XIV.