Huge Cardinal - Consistency Strength

Consistency Strength

The cardinals are arranged in order of increasing consistency strength as follows:

  • almost n-huge
  • super almost n-huge
  • n-huge
  • super n-huge
  • almost n+1-huge

The consistency of a huge cardinal implies the consistency of a supercompact cardinal, nevertheless, the least huge cardinal is smaller than the least supercompact cardinal (assuming both exist).

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Famous quotes containing the words consistency and/or strength:

    “The lawyer’s truth is not Truth, but consistency or a consistent expediency.”
    —Henry David Thoreau (1817–1862)

    “The days of our years are threescore years and ten; and if by reason of strength they be fourscore years, yet is their strength labour and sorrow; for it is soon cut off, and we fly away.”
    —Bible: Hebrew Psalms 90:10.

    The Book of Common Prayer (1662)