Zermelo's Well-Ordering Theorem/Also known as
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Zermelo's Well-Ordering Theorem: Also known as
Zermelo's Well-Ordering Theorem is also known just as the well-ordering theorem.
Some sources omit the hyphen: (Zermelo's) well ordering theorem.
It is also known just as Zermelo's Theorem.
Under this name it can often be seen worded:
- Every set of cardinals is well-ordered with respect to $\le$.
This is called by some authors the Trichotomy Problem.
It is also referred to as the well-ordering principle, but this causes confusion with the result that states that the natural numbers are well-ordered.