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:

    Most near, most dear, most loved and most far,
    Under the window where I often found her
    Sitting as huge as Asia, seismic with laughter,
    George Barker (b. 1913)

    The Poles do not know how to hate, thank God.
    Stefan, Cardinal Wyszynski (1901–1981)