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 we consider the vast distance of the known and visible parts of the world, and the reasons we have to think, that what lies within our ken is but a small part of the universe, we shall then discover an huge abyss of ignorance.”
—John Locke (1632–1704)
“To this war of every man against every man, this also is consequent; that nothing can be Unjust. The notions of Right and Wrong, Justice and Injustice have there no place. Where there is no common Power, there is no Law; where no Law, no Injustice. Force, and Fraud, are in war the two Cardinal virtues.”
—Thomas Hobbes (1579–1688)