Definition of Cardinal number. Meaning of Cardinal number. Synonyms of Cardinal number

Here you will find one or more explanations in English for the word Cardinal number. Also in the bottom left of the page several parts of wikipedia pages related to the word Cardinal number and, of course, Cardinal number synonyms and on the right images related to the word Cardinal number.

Definition of Cardinal number

Cardinal number
Number Num"ber, n. [OE. nombre, F. nombre, L. numerus; akin to Gr. ? that which is dealt out, fr. ? to deal out, distribute. See Numb, Nomad, and cf. Numerate, Numero, Numerous.] 1. That which admits of being counted or reckoned; a unit, or an aggregate of units; a numerable aggregate or collection of individuals; an assemblage made up of distinct things expressible by figures. 2. A collection of many individuals; a numerous assemblage; a multitude; many. Ladies are always of great use to the party they espouse, and never fail to win over numbers. --Addison. 3. A numeral; a word or character denoting a number; as, to put a number on a door. 4. Numerousness; multitude. Number itself importeth not much in armies where the people are of weak courage. --Bacon. 5. The state or quality of being numerable or countable. Of whom came nations, tribes, people, and kindreds out of number. --2 Esdras iii. 7. 6. Quantity, regarded as made up of an aggregate of separate things. 7. That which is regulated by count; poetic measure, as divisions of time or number of syllables; hence, poetry, verse; -- chiefly used in the plural. I lisped in numbers, for the numbers came. --Pope. 8. (Gram.) The distinction of objects, as one, or more than one (in some languages, as one, or two, or more than two), expressed (usually) by a difference in the form of a word; thus, the singular number and the plural number are the names of the forms of a word indicating the objects denoted or referred to by the word as one, or as more than one. 9. (Math.) The measure of the relation between quantities or things of the same kind; that abstract species of quantity which is capable of being expressed by figures; numerical value. Abstract number, Abundant number, Cardinal number, etc. See under Abstract, Abundant, etc. In numbers, in numbered parts; as, a book published in numbers.

Meaning of Cardinal number from wikipedia

- cardinal number, or cardinal for short, is what is commonly called the number of elements of a set. In the case of a finite set, its cardinal number,...
- into Cardinal and Ordinal Numbers (1958, 2nd ed. 1965). Any finite natural number can be used in at least two ways: as an ordinal and as a cardinal. Cardinal...
- it is possible to define an infinite cardinal number ℵ α {\displaystyle \aleph _{\alpha }} for every ordinal number α , {\displaystyle \alpha ,} as described...
- linguistics, and more precisely in traditional grammar, a cardinal numeral (or cardinal number word) is a part of speech used to count. Examples in English...
- cardinal is inaccessible if it cannot be obtained from smaller cardinals by the usual operations of cardinal arithmetic. More precisely, a cardinal κ...
- In mathematics, the cardinality of a set is the number of its elements. The cardinality of a set may also be called its size, when no confusion with other...
- Member of the College of Cardinals Cardinal Health, a health care services company Cardinal number Large cardinal Cardinal direction, one of the four...
- itself. The total number of cardinals from 1099 to 1986 has been about 2,900 (excluding possible undo****ented 12th-century cardinals and pseudocardinals...
- (five) is a number, numeral and digit. It is the natural number, and cardinal number, following 4 and preceding 6, and is a prime number. Humans, and...
- field of set theory, a large cardinal property is a certain kind of property of transfinite cardinal numbers. Cardinals with such properties are, as the...