If \Omega is the set of all ordinals, what is the order type of \Omega?
Feb 3, 2011 #1 ForMyThunder 149 0 If [tex]\Omega[/tex] is the set of all ordinals, what is the order type of [tex]\Omega[/tex]?
Feb 3, 2011 #2 Hurkyl Staff Emeritus Science Advisor Gold Member 14,950 19 Any answer would suffice, since your question is vacuous -- no set contains all ordinals.
Feb 3, 2011 #3 micromass Staff Emeritus Science Advisor Homework Helper Insights Author 22,129 3,302 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...
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...