# Cardinal number

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In mathematics, a **cardinal number** is a set that represents a generalization of the number of elements of the set.

In set theory, the usual counting numbers are represented by sets.

For example, *10* is a set. There are many ways to represent *10* as a set, but the most widespread ^{[1]}, but the reverse is not true</ref> takes *10 = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }*.

## References

- ↑ Von Neumann Integers,
*site*planetmath.org