cardinal number

A number, such as 3 or 11 or 412, used in counting to indicate quantity but not order.

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

cardinal number

cardinal numeral

1. (Mathematics) a number denoting quantity but not order in a set. Sometimes shortened to: cardinal

2. (Mathematics) maths logic

a. a measure of the size of a set that does not take account of the order of its members. Compare natural number

b. a particular number having this function

3. (Logic) maths logic

a. a measure of the size of a set that does not take account of the order of its members. Compare natural number

b. a particular number having this function

Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

car′dinal num′ber

any of the numbers that express amount, as one, two, three (disting. from ordinal number).

[1585–95]

car·di·nal number

(kär′dn-əl)

A number, such as 3, 11, or 412, used in counting to indicate quantity but not order. Compare ordinal number.

The American Heritage® Student Science Dictionary, Second Edition. Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

ThesaurusAntonymsRelated WordsSynonymsLegend:

Noun

cardinal number - the number of elements in a mathematical set; denotes a quantity but not the order

cardinal

number - a concept of quantity involving zero and units; "every number has a unique position in the sequence"

absolute frequency, frequency - the number of observations in a given statistical category

googol - a cardinal number represented as 1 followed by 100 zeros (ten raised to the power of a hundred)

googolplex - a cardinal number represented as 1 followed by a googol of zeros (ten raised to the power of a googol)

Translations

kardinální číslo

kardinaltal

Kardinalzahl

número cardinaladjetivo cardinal

hulga võimsuskardinaalarvpõhiarv

kardinaalilukuperusluku

tőszámtőszámnév

numero cardinale

基数集合数

numeral cardinalnúmero cardinal

numeral cardinal

количественное числительное

Mentioned in

References in periodicals archive

So the cardinal number of the set C is equal to the cardinal number of the set of all positive integers [N.sub.0].

The signs of the Stieltjes constants associated with the Dedekind zeta function

Still, one can't help but notice that if spelled out with a cardinal number, the book's title becomes "OK."

Zero K

Hence {[U.sub.i[member of]J] [B.sub.i] : J [subset or equal to] I} forms a collection of closed subsets in [B(H).sub.[parallel]*[parallel][less than or equal to]2] with the cardinal number [2.sup.c].

Operator-valued measurable functions

Count all the cardinal number names spelt with a given number of letters.

Extreme number names

A cardinal number is an answer to the question how many.

The Evolution of Logic

Ordinal numbers are generally formed by adding a suffix of -th to the word for the cardinal number, but there are exceptions.

Jabberwocky: the complexities of mathematical English: there is no doubt that some students find the language of mathematics dense and difficult to understand. Merilyn Carter and Lorna Quinnell explore the complexities of mathematical language and offer some useful suggestions for helping children make sense out the mathematical text

In particular, they argue that, on reasonable assumptions, both David Lewis's modal realism and Timothy Williamson's necessitism are saddled with the remarkable conclusion that there is some cardinal number of the form [TEXT NOT REPRODUCIBLE IN ASCII] such that there could not be more than [TEXT NOT REPRODUCIBLE IN ASCII]-many angels in existence.

Mind: January 2011, Vol. 120, No. 477

And the production sales have already increased 30% in constantly two years, so if the cardinal number is big, the increment speed will still increase 15%.

Qualitydress.com: 2011 China Automobile Price Trend

How important are talking about numbers and using number words in daily interactions to a child's understanding of the cardinal number principle (i.e., the size of a set of objects is determined by the last number reached when counting the set), an early skill that helps form the basis of mathematical knowledge?

Never too early for number talk

In a similar way, we form the set of all US states, and we say that the cardinal number of this set is 50.

Naming infinity: A True Story of Religious Mysticism and Mathematical Creativity

[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).

Symmetric monochromatic subsets in colorings of the Lobachevsky plane