cardinal number

A cardinal number is an ordinal number $S$ with the property that $S\le X$ for every ordinal number $X$ which has the same cardinality as $S$. Cardinal numbers have the property that for every set $A$, there exists a unique cardinal number having the same number of elements as $A$.

Title	cardinal number
Canonical name	CardinalNumber
Date of creation	2013-03-22 12:07:58
Last modified on	2013-03-22 12:07:58
Owner	djao (24)
Last modified by	djao (24)
Numerical id	8
Author	djao (24)
Entry type	Definition
Classification	msc 03E10
Synonym	cardinal
Related topic	Cardinality
Related topic	CardinalArithmetic