Editing Number (section)

===Transfinite numbers===
{{main|transfinite number}}
For dealing with infinite [[set (mathematics)|sets]], the natural numbers have been generalized to the [[ordinal number]]s and to the [[cardinal number]]s. The former gives the ordering of the set, while the latter gives its size. For finite sets, both ordinal and cardinal numbers are identified with the natural numbers. In the infinite case, many ordinal numbers correspond to the same cardinal number.