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:
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—Oscar Wilde (1854–1900)
“Here, with whitened hair, desires failing, strength ebbing out of him, with the sun gone down and with only the serenity and the calm warning of the evening star left to him, he drank to Life, to all it had been, to what it was, to what it would be. Hurrah!”
—Sean O’Casey (1884–1964)