Ordinals question

  • #1
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Main Question or Discussion Point

If [tex]\Omega[/tex] is the set of all ordinals, what is the order type of [tex]\Omega[/tex]?
 

Answers and Replies

  • #2
Hurkyl
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Any answer would suffice, since your question is vacuous -- no set contains all ordinals.
 
  • #3
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Hurkyl is right, no set contains all the ordinals. But the notation [tex]\Omega[/tex] is often used to denote the set of all countable ordinals. That's probably what you mean...
 

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