Aleph Null, represented as , is the smallest infinite cardinal number. It contains all natural numbers, and is followed by Aleph 1 - . Due to this, Aleph Null is a benchmark in size. It is also weakly inaccessible and most its ordinal counterpart is omega - . Applying mathematical notations on 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 and have an actual cardinal size difference.
Some of the Omniverse's properties have a value of
Examples of using notations
, if the continuum hypothesis is proven to be correct