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

  1. Von Neumann Integers, site planetmath.org