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
.Proof is not an Ordinal
Suppose
is an ordinal. Then has an ordinal successor and . But is an ordinal, so . Since ordinals are well-ordered by , , but this violates the requirement for a well-ordering to be well-founded, so, by contradiction, 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