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).
Read more about this topic: Huge Cardinal
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 wise and just man will always feel that he stands on his own feet; that he imparts strength to the state, not receives security from it; and if all went down, he and such as he would quite easily combine in a new and better constitution.”
—Ralph Waldo Emerson (1803–1882)