# 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
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005

## 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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

## 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.
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References in periodicals archive ?
He demonstrated (Mises, 1953) in 1912 how ordinal ranks are transformed into cardinal numbers suitable for economic calculation in a market economy Buyers and sellers have preferences for a good they intend to exchange relative to money They exchange to acquire the mutual benefit latent in the reverse ordering of their preferences Competitive bidding by the buyers and competitive offering by the sellers results in a market-clearing price.
With what number of letters are the most cardinal number names spelt?
[c.sup.B.sub.k] (X) = [infinity]) where infinity] is assumed to be greater than any cardinal number. It follows from the definition that [c.sup.B.sub.k] (X) [less than or equal to] [c.sub.k] (X).
Recall that [alpha],[beta] being cardinal numbers, [alpha] = [absolute value of A], [beta] = [absolute value of B] where, A,B are disjoint sets, the sum [alpha] + [beta] is the cardinal number [gamma] = [absolute value of A [union] B] Y Concerning an infinite sum, if the sets [A.sub.i](i [member of] I) are pairwise disjoint and, [k.sub.i] = [absolute value of [A.sub.i]] then [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (, p.
Cantor called this abstract extensional presentation of a set its power or its cardinal number, but it is also possible to think of a set in terms of its intrinsic order, thus defining the sets ordinal type.
Songs originally written to include cardinal numbers (one, two, three, four), such as "Five Little Chickadees," can be adapted to include ordinal numbers.
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.
Furthermore, even if the question involves ordinal numbers (e.g., "Who catches the fourth ball?"), the program always recites cardinal numbers. Toward the end, some of the addition and subtraction number problems are illustrated as pictorial and numerical equations.

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