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:

    And each of the huge white creatures was huger than fourscore men;
    The tops of their ears were feathered, their hands were the claws of birds,
    And, shaking the plumes of the grasses and the leaves of the mural glen,
    The breathing came from those bodies, long warless, grown whiter than curds.
    William Butler Yeats (1865–1939)

    Time and I against any two.
    —Spanish proverb.

    Quoted by Cardinal Mazarin during the minority of Louis XIV.