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:

    I don’t think life is absurd. I think we are all here for a huge purpose. I think we shrink from the immensity of the purpose we are here for.
    Norman Mailer (b. 1923)

    Distrust all those who love you extremely upon a very slight acquaintance, and without any visible reason. Be upon your guard, too, against those who confess, as their weaknesses, all the cardinal virtues.
    Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)