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)
“Few serve truth in truth because only few have the pure will to be just, and of those again very few have the strength to be just.”
—Friedrich Nietzsche (1844–1900)