Difference between revisions of "Cardinal number"
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In [[set theory]], the usual [[counting numbers]] are represented by sets. | 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 <ref>[http://planetmath.org/encyclopedia/VonNeumannInteger.html Von Neumann Integers], ''site'' planetmath.org | + | For example, ''10'' is a set. There are many ways to represent ''10'' as a set, but the most widespread <ref>[http://planetmath.org/encyclopedia/VonNeumannInteger.html Von Neumann Integers], ''site'' planetmath.org</ref> takes ''10 = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }''. |
== References == | == References == | ||
Latest revision as of 13:48, April 15, 2010
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] takes 10 = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }.
References
- ↑ Von Neumann Integers, site planetmath.org
