Huge Cardinal

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:

    “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)

    “One must not make oneself cheap here—that is a cardinal point—or else one is done. Whoever is most impertinent has the best chance.”
    —Wolfgang Amadeus Mozart (1756–1791)