Aleph null

Aleph Null, represented as \aleph_0, is the smallest infinite cardinal number. It contains all natural numbers, and is followed by Aleph 1 - \aleph_1. Due to this, Aleph Null is a benchmark in size. It is also weakly inaccessible and most its ordinal counterpart is omega - \omega. Applying mathematical notations on \omegadoesn't change its size, as it doesn't actually change the size of the set, but merely incorporates it with other sets in a different set. Meanwhile \aleph_0and \aleph_1have an actual cardinal size difference. 
Some of the Omniverse's properties have a value of \aleph_0
== Examples of using notations ==
\aleph_0+1=\aleph_0meanwhile \omega+1=\omega+1
2^{\aleph_0}=\aleph_1, if the continuum hypothesis is proven to be correct
 
Category:Number