cardinal number


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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 ?
Four is well known as the only cardinal number truthful in number of letters per name.
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.
This ordinal number is also identical to its cardinal power; in the above example the set a had both the ordinal and cardinal number four.
Since other (rarer) quasi-syllabic and syllabic spellings indicate that feminine forms of words for the cardinal numbers 3-10 end in -t, and since final -CV signs are used to represent final consonants in Late Babylonian orthography, the syllable sign -ta in the writing n-ta stands for final /t/ (It might be noted that E.
A set A [subset] L is said to be [beta]-algebrable if there exists an algebra B so that B [subset] A [union] {0} and card(Z) = [beta], where [beta] is a cardinal number and Z is a minimal system of generators of B.
The market slowed down in 2008 and the cardinal number of the industry was relatively low; The demand of downstream industries such as building materials, home appliances and electronic communication was on the increase; Chinese government adopted a series of significant measures like domestic demand expansion, economic development promotion, industrial revitalization planning, etc.
There is much in this densely written but moderately sized volume: Frege's definition of a cardinal number and his claim that substantival uses of numerical expressions have primacy over adjectival ones; his adoption (in what is "arguably the most philosophically pregnant paragraph ever written" [p.
China's beer output will keep growing at a rate of around 5% during the 11th Five-year period despite the large cardinal number.
What happens if cardinal number names are used in the denominator instead of ordinals?
With the implementation of macro-control policies and the growing cardinal number of machine tool, the investment peak into automobiles, motors, heavy electronic industry indicates a decline and so does the machine tool industry.
The book begins with an overview of preliminary notions and tools such as cardinal numbers, abstract and linear algebra, residual subsets, and lineability, spaceability, and algebrability.
He also assumes students to be familiar enough with Zorn's lemma, commutative diagrams, and ordinal and cardinal numbers that his brief review will suffice.