Category:Aleph Numbers

This category contains results about Aleph Numbers.
Definitions specific to this category can be found in Definitions/Aleph Numbers.

The aleph numbers are a sequence of numbers used to represent the cardinality (or size) of infinite sets that can be well-ordered.

The cardinality of the natural numbers is $\aleph_0$.

The next larger cardinality is $\aleph_1$.

Then $\aleph_2$ and so on.

Aleph-Null: $\aleph_0$

Aleph-null is the cardinal number of a set which is in one-to-one correspondence with the natural numbers $\N$.