Cantor's Absolute Infinity

Cantor's Absolute Infinity was an infinity proposed by Cantor that made up the collection of all ordinals. Due to the requirement of ordinals to be well-ordered, this is not itself an ordinal.
It is commonly denoted with the symbol \Omega.
==Proof \Omega is not an Ordinal==
Suppose \Omega is an ordinal. Then \Omega has an ordinal successor \Omega^+ and \Omega \in \Omega^+. But \Omega^+ is an ordinal, so \Omega^+ \in \Omega. Since ordinals are well-ordered by \in, \Omega^+ \in \Omega^+, but this violates the requirement for a well-ordering to be well-founded, so, by contradiction, \Omega is not an ordinal.
== Other uses ==
Voidsecond - Is the time equivalent to the reciprocal of Cantor's Absolute Infinity. Too short to be useful in any practical cases.
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Category:Number