# cardinal number

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Related to Cardinal numbers: Ordinal numbers

## cardinal number

, numeral
1. a number denoting quantity but not order in a set
2. Maths Logic
a. a measure of the size of a set that does not take account of the order of its members
b. a particular number having this function

## cardinal number

[′kärd·nəl ′nəm·bər]
(mathematics)
The number of members of a set; usually taken as a particular well-ordered set representative of the class of all sets which are in one-to-one correspondence with one another.

## cardinal number

The cardinality of some set.

## cardinal number

The number that states how much or how many. In "record 43 has 7 fields," the 7 is cardinal. See cardinality. Contrast with ordinal number.
References in periodicals archive ?
k] (X) = [infinity]) where infinity] is assumed to be greater than any cardinal number.
If [alpha],[beta] are infinite cardinal numbers then [alpha] + [beta] = [alpha] x [beta] = max{[alpha],[beta]}.
Then, nouns, cardinal numbers and adjectives are removed from the list.
The method that Cantor introduced to directly generate new infinite cardinal numbers is via the use of the power set function.
In Late Babylonian texts, when the cardinal numbers are not written simply with numeral signs, they are most often written with the numeral followed by the sign TA.
Cleary again defends Aristotle against those who claim he misunderstood Plato's distinction between ordinal (Form Number) and cardinal numbers (mathematical number), and he champions Aristotle's interpretation that Form Numbers consist of units.

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