All dimensions Wiki
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