What Is the Order Type of Countable Ordinals?

[ForMyThunder]

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

 

[Hurkyl]

Any answer would suffice, since your question is vacuous -- no set contains all ordinals.

 

[micromass]

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...