# Ordinals question

## Main Question or Discussion Point

If $$\Omega$$ is the set of all ordinals, what is the order type of $$\Omega$$?

Related Set Theory, Logic, Probability, Statistics News on Phys.org
Hurkyl
Staff Emeritus
Hurkyl is right, no set contains all the ordinals. But the notation $$\Omega$$ is often used to denote the set of all countable ordinals. That's probably what you mean...