Huge Cardinal

Huge Cardinal

In mathematics, a cardinal number κ is called huge if there exists an elementary embedding j : VM 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:

    Only one ship is seeking us a black- Sailed unfamiliar, towing at her back
    A huge and birdless silence. In her wake
    No waters breed or break.
    Philip Larkin (1922–1986)

    The Cardinal is at his wit’s end—it is true that he had not far to go.
    George Gordon Noel Byron (1788–1824)