Lexic.us

Definition of Cardinal number

1. Noun. The number of elements in a mathematical set; denotes a quantity but not the order.

Definition of Cardinal number

1. Noun. A number used to denote quantity; a counting number. ¹

2. Noun. (mathematics) A generalized kind of number used to denote the size of a set, including infinite sets. ¹

3. Noun. (context: grammar) A word that expresses a countable quantity; a cardinal numeral. ¹

¹ Source: wiktionary.com

Lexicographical Neighbors of Cardinal Number

Literary usage of Cardinal number

Below you will find example usage of this term as found in modern and/or classical literature:

1. The Theory of Functions of a Real Variable and the Theory of Fourier's Series by Ernest William Hobson (1907)
"THE cardinal number OF THE CONTINUUM. 147. The arithmetic continuum has been defined as an aggregate of the order-type 6 (see § 128), and it is thus not ..."

2. Science by American Association for the Advancement of Science (1909)
"And I shall begin with the concept of cardinal number. Before defining cardinal number of a class, we define what is meant by sameness of cardinal number, ..."

3. The Encyclopedia Americana: A Library of Universal Knowledge (1918)
"cardinal number.— The cardinal number, then, of an assemblage " is something that is common to all the assemblages similar to a, or as we shall say, ..."

4. Encyclopaedia Britannica, a Dictionary of Arts, Sciences, Literature and edited by Hugh Chisholm (1910)
"Where a number is expressed in terms of various denominations, a cardinal number usually begins with the largest denomination, and an ordinal number with ..."

5. Lectures on the Theory of Functions of Real Variables by James Pierpont (1912)
"We attach now to each aggregate 31 an attribute called its cardinal number, which is defined as follows : 1° Equivalent aggregates have the same cardinal ..."

6. Lectures on Fundamental Concepts of Algebra and Geometry by John Wesley Young (1911)
"A New cardinal number. — Before leaving the notion of function, it may be well to make use of it to show the existence of a new cardinal number. ..."

7. The Monist by Hegeler Institute (1917)
""the cardinal number" of the series just referred to. Hence, by a tacit use of an axiom afterwards stated explicitly by Zermelo, I concluded that every ..."

Other Resources: