The cardinality of the natural numbers is {\displaystyle \,\aleph _{0}\,}{\displaystyle \,\aleph _{0}\,} (read aleph-nought or aleph-zero; the term aleph-null is also sometimes used), the next larger cardinality of a well-orderable set is aleph-one {\displaystyle \,\aleph _{1}\;,}{\displaystyle \,\aleph _{1}\;,} then {\displaystyle \,\aleph _{2}\,}{\displaystyle \,\aleph _{2}\,} and so on. Continuing in this manner, it is possible to define a cardinal number {\displaystyle \,\aleph _{\alpha }\,}{\displaystyle \,\aleph _{\alpha }\,} for every ordinal number {\displaystyle \,\alpha \;,}{\displaystyle \,\alpha \;,} as described below; Don't