What Is the Order Type of Countable Ordinals?

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If \Omega is the set of all ordinals, what is the order type of \Omega?
 
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Any answer would suffice, since your question is vacuous -- no set contains all ordinals.
 


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...
 

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