# Ordinals question

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

## Answers and Replies

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...