List of Cardinal Numbers

This is a list of cardinal numbers, sorted by cardinality.

Countable
These cardinals have a cardinality between zero and aleph null, the smallest infinite cardinal and largest countable cardinal.
 * $$0$$ Cardinal zero
 * $$1$$ Cardinal one
 * $$2$$ Cardinal two
 * $$3$$ Cardinal three
 * $$7$$ Cardinal seven
 * $$13$$ Cardinal thirteen
 * $$\aleph_0$$ Cardinal aleph null

Uncountable
These cardinals have a cardinality larger than or equal to aleph one, the smallest uncountable cardinality and the cardinality of the real numbers.
 * $$\aleph_1$$ Cardinal aleph one
 * $$\aleph_2$$ Cardinal aleph two
 * $$\aleph_3$$ Cardinal aleph three
 * $$\aleph_\omega$$ Cardinal aleph omega
 * $$I$$ Cardinal first inaccessible
 * $$M$$ Cardinal first Mahlo
 * $$K$$ Cardinal first weakly compact
 * $$S(3)$$ Cardinal first Pi 1 3 indescribable
 * $$S(4)$$ Cardinal first Pi 1 4 indescribable