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:
“On a huge hill,
Cragged, and steep, Truth stands, and he that will
Reach her, about must, and about must go;
And what the hill’s suddenness resists, win so;
Yet strive so, that before age, death’s twilight,
Thy Soul rest, for none can work in that night.
To will, implies delay, therefore now do:
Hard deeds, the body’s pains; hard knowledge too
The mind’s endeavours reach, and mysteries
Are like the Sun, dazzling, yet plain to all eyes.”
—John Donne (1572–1631)
“Time and I against any two.”
—Spanish proverb.
Quoted by Cardinal Mazarin during the minority of Louis XIV.