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:
“A hidden strength
Which if Heav’n gave it, may be term’d her own:
‘Tis chastity, my brother, chastity:
She that has that, is clad in compleat steel,
And like a quiver’d Nymph with Arrows keen
May trace huge Forests, and unharbour’d Heaths,
Infamous Hills, and sandy perilous wildes,
Where through the sacred rayes of Chastity,
No savage fierce, Bandite, or mountaneer
Will dare to soyl her Virgin purity,”
—John Milton (1608–1674)
“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)