All dimensions Wiki

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