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Meaning of "cardinal number" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF CARDINAL NUMBER

cardinal number play
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GRAMMATICAL CATEGORY OF CARDINAL NUMBER

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Cardinal number is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES CARDINAL NUMBER MEAN IN ENGLISH?

Cardinal number

In mathematics, cardinal numbers, or cardinals for short, are a generalization of the natural numbers used to measure the cardinality of sets. The cardinality of a finite set is a natural number – the number of elements in the set. The transfinite cardinal numbers describe the sizes of infinite sets. Cardinality is defined in terms of bijective functions. Two sets have the same cardinality if and only if there is a bijection between them. In the case of finite sets, this agrees with the intuitive notion of size. In the case of infinite sets, the behavior is more complex. A fundamental theorem due to Georg Cantor shows that it is possible for infinite sets to have different cardinalities, and in particular the cardinality of the set of real numbers is greater than the cardinality of the set of natural numbers. It is also possible for a proper subset of an infinite set to have the same cardinality as the original set, something that cannot happen with proper subsets of finite sets. There is a transfinite sequence of cardinal numbers: This sequence starts with the natural numbers including zero, which are followed by the aleph numbers.

Definition of cardinal number in the English dictionary

The definition of cardinal number in the dictionary is a number denoting quantity but not order in a set Sometimes shortened to: cardinal. Other definition of cardinal number is a particular number having this function.

WORDS THAT BEGIN LIKE CARDINAL NUMBER

cardinal
cardinal beetle
cardinal fish
cardinal flower
cardinal grosbeak
cardinal humour
cardinal numeral
cardinal points
cardinal red
cardinal sin
cardinal spider
cardinal virtues
cardinal vowels
cardinalate
cardinalatial
cardinalitial
cardinality
cardinally
cardinalship
carding

WORDS THAT END LIKE CARDINAL NUMBER

accession number
call number
climber
cool as a cucumber
cucumber
house number
Humber
lumber
mobile number
number
outnumber
phone number
plumber
reference number
registration number
serial number
slumber
social security number
street number
telephone number
VAT number

Synonyms and antonyms of cardinal number in the English dictionary of synonyms

SYNONYMS

Translation of «cardinal number» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF CARDINAL NUMBER

Find out the translation of cardinal number to 25 languages with our English multilingual translator.
The translations of cardinal number from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «cardinal number» in English.

Translator English - Chinese

基数
1,325 millions of speakers

Translator English - Spanish

número cardinal
570 millions of speakers

English

cardinal number
510 millions of speakers

Translator English - Hindi

कार्डिनल संख्या
380 millions of speakers
ar

Translator English - Arabic

الكاردينال عدد
280 millions of speakers

Translator English - Russian

количественное числительное
278 millions of speakers

Translator English - Portuguese

número cardinal
270 millions of speakers

Translator English - Bengali

অঙ্কবাচক সংখ্যা
260 millions of speakers

Translator English - French

nombre cardinal
220 millions of speakers

Translator English - Malay

Nombor kardinal
190 millions of speakers

Translator English - German

Kardinalzahl
180 millions of speakers

Translator English - Japanese

基数
130 millions of speakers

Translator English - Korean

기수
85 millions of speakers

Translator English - Javanese

Nomer kardinal
85 millions of speakers
vi

Translator English - Vietnamese

bảng số
80 millions of speakers

Translator English - Tamil

கார்டினல் எண்
75 millions of speakers

Translator English - Marathi

मुख्य क्रमांक
75 millions of speakers

Translator English - Turkish

asıl sayı
70 millions of speakers

Translator English - Italian

numero cardinale
65 millions of speakers

Translator English - Polish

Numer kardynał
50 millions of speakers

Translator English - Ukrainian

кількісний числівник
40 millions of speakers

Translator English - Romanian

număr cardinal
30 millions of speakers
el

Translator English - Greek

απόλυτος αριθμός
15 millions of speakers
af

Translator English - Afrikaans

kardinale getal
14 millions of speakers
sv

Translator English - Swedish

kardinalnummer
10 millions of speakers
no

Translator English - Norwegian

kardinaltall
5 millions of speakers

Trends of use of cardinal number

TRENDS

TENDENCIES OF USE OF THE TERM «CARDINAL NUMBER»

The term «cardinal number» is regularly used and occupies the 92.145 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
57
/100
The map shown above gives the frequency of use of the term «cardinal number» in the different countries.
Principal search tendencies and common uses of cardinal number
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «cardinal number».

FREQUENCY OF USE OF THE TERM «CARDINAL NUMBER» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «cardinal number» during the past 500 years. Its implementation is based on analysing how often the term «cardinal number» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about cardinal number

EXAMPLES

10 ENGLISH BOOKS RELATING TO «CARDINAL NUMBER»

Discover the use of cardinal number in the following bibliographical selection. Books relating to cardinal number and brief extracts from same to provide context of its use in English literature.
1
Set Theory and Metric Spaces
We are ready for the general definition. DEFINITION. Let d and e be nonzero cardinal numbers. Let D and E be sets with o(/>) = d, o(E) = e. We define d* to be the cardinal number of the set of all functions from E to D. Remark: We have ...
Irving Kaplansky, 2001
2
Introduction to Cardinal Arithmetic
Therefore we get Since obviously the cardinality of the index set is at most the supremum of the summands, Lemma 1.6.3 says that ^<5>^=suP{K^:£</?}<K^. €</ 3 Definition Assume that k is an infinite and A is an uncountable cardinal number.
Michael Holz, Karsten Steffens, E. Weitz, 2009
3
An Introduction to Analysis
For this reason, and for others to be elucidated shortly (see Problem D), it is customary to write 2card* for the cardinal number of the power class on an arbitrary set X. Thus, in particular, 2N° is the cardinal number of the power class on N. This ...
Arlen Brown, Carl M. Pearcy, 1995
4
Algebra
The cardinal number (or cardinality) of a set A, denoted |A|, is the equivalence class of A under the equivalence relation of equipollence. \A\ is an infinite or finite cardinal according as A is an infinite or finite set. Cardinal numbers will also be ...
Thomas W. Hungerford, 1974
5
The Child's Understanding of Number
Nor do we assume that a child who uses the counting procedure to establish such a representation has a full appreciation of all the properties of cardinal number. There are several set-theoretic definitions of cardinal number, which we will ...
Rochel GELMAN, C. R. Gallistel, Rochel Gelman, 2009
6
Mathematical Logic
Every finite class has a finite cardinal number, which may be identified with the number of elements in the class in the ordinary sense; and the finite cardinal numbers may accordingly be denoted by the symbols 1, 2, . . . . If a finite class is ...
G. T. Kneebone
7
Matrix - 6
Cardinal number of a set The number of elements in a finite set is called the cardinal number of the set. The cardinal number is used to denote the size of a set. If A is any finite set, then its cardinal number is denoted by n(A). For example: If A= ...
Khurana Rohit, 2007
8
Foundations and Fundamental Concepts of Mathematics
FIGURE 8.5 Definition 3 Two sets that are equivalent are said to have the same cardinal number. All sets that have the same cardinal number as the set {a} are said to have cardinal number one (or to contain one element); all sets having the  ...
Howard Eves, 2012
9
Elements of the Theory of Functions and Functional Analysis
finite sets the concept of cardinal number coincides simply with the concept of number of elements in the set. The cardinal number of the set of natural numbers (i.e. of any denumerable set) is denoted by the symbol Ki (read "aleph xero").
A. N. Kolmogorov, Sergeĭ Vasilʹevich Fomin, S. V. Fomin, 1999
10
Georg Cantor: His Mathematics and Philosophy of the Infinite
managed to establish that the cardinality of Z(K0) was greater than NO, and that any infinite set of numbers of the second number class was either denumerable , or had the cardinal number (a) . The final step was a short one , but he still had to  ...
Joseph Warren Dauben, 1990

10 NEWS ITEMS WHICH INCLUDE THE TERM «CARDINAL NUMBER»

Find out what the national and international press are talking about and how the term cardinal number is used in the context of the following news items.
1
Baseball Recap: Louisville 7 Carolina 4
The Cardinal number 9 hitter, short stop Devin Hairston, then grounded out to second base to bring up Whiting who struck out to end the inning. «Tar Heel Blog, May 15»
2
ANSYS' (ANSS) CEO Jim Cashman on Q1 2015 Results - Earnings …
So, the fact is we're going to have a revenue ramp up from that; it just won't count as that to be very cardinal number of numbers in there. «Seeking Alpha, May 15»
3
Brazilian Actor Wagner Moura Joins “O Magnífico Sete” (The …
Hollywood is continuing the trend of coming up with movie titles using the formula: Definite Article + Adjective + Cardinal Number. This year we ... «2paragraphs.com, Apr 15»
4
All Hail Sam: SFA's Record Against Their Piney Woods Rival
O-N-E. Definition: “the lowest cardinal number; half of two; 1.” Alright, alright, calm yourselves. Back down Lumberjacks, it's just one sport – and surely its a fluke. «The Sawmill, Mar 15»
5
How to Count the Defensive Use of Guns
To the people involved in these incidents, no number of DGUs is more important than the cardinal number representing them. Kleck rose to his ... «Reason, Mar 15»
6
4 Tips for Small Businesses to Decide on a Memorable Brand Name
A few rounds of discussions later at their Stanford University office, they zeroed in on Googol, which is a cardinal number represented as 1 ... «Business 2 Community, Feb 15»
7
No Man's Sky - The Game We'll Be Showing Our Grandkids!
Let's take a look at what that means: A cardinal number represented in the U.S. by 1 followed by 18 zeros, and in Great Britain by 1 followed by ... «moviepilot.com, Jan 15»
8
11 words that mean something completely different at The University …
What is means everywhere else: a cardinal number. What it means at the University of Alabama: Number of national college football ... «AL.com, Sep 14»
9
5 Annual award for American journalism, literature or music (8,5)
... 14 Brave guy (4); 15 Plan (6); 16 Roman goddess of the dawn (6); 17 French city on the Loire (6); 19 Illumination (5); 20 Cardinal number (5) ... «The Guardian, May 14»
10
China Spectacles Industry Report, 2013-2015
Nevertheless, given the large cardinal number of Chinese population, there are three to four million Chinese people in need for corrective ... «MarketWatch, Feb 14»

REFERENCE
« EDUCALINGO. Cardinal number [online]. Available <https://educalingo.com/en/dic-en/cardinal-number>. Apr 2024 ».
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