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:

    At my nativity
    The front of heaven was full of fiery shapes
    Of burning cressets, and at my birth
    The frame and huge foundation of the earth
    Shaked like a coward.
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    The Cardinal is at his wit’s end—it is true that he had not far to go.
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