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 $\omega$ doesn'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 $\aleph_0$ and $\aleph_1$ have an actual cardinal size difference.

Some of the Omniverse's properties have a value of $\aleph_0$

Examples of using notations[]

$\aleph_0 + 1 = \aleph_0$ meanwhile $\omega +1=\omega +1$

$2^{\aleph_0}=\aleph_1$ , if the continuum hypothesis is proven to be correct