## Cardinality

In mathematics, the **cardinality** of a set is a measure of the "number of elements of the set". For example, the set A = {2, 4, 6} contains 3 elements, and therefore A has a cardinality of 3. There are two approaches to cardinality – one which compares sets directly using bijections and injections, and another which uses cardinal numbers.

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### Some articles on cardinality:

Paradoxes Of Set Theory - Paradoxes of The Infinite Set -

... proving that the set of points of a square has the same

*Je Le Vois, Mais Je Ne Crois Pas*... proving that the set of points of a square has the same

**cardinality**as that of the points on just an edge of the square the**cardinality**of the continuum ... This demonstrates that the "size" of sets as defined by**cardinality**alone is not the only useful way of comparing sets ...**Cardinality**Of The Continuum

... In set theory, the

**cardinality**of the continuum is the

**cardinality**or “size” of the set of real numbers, sometimes called the continuum ... Symbolically, if the

**cardinality**of is denoted as, the

**cardinality**of the continuum is This was proven by Georg Cantor in his 1874 uncountability proof, part of his ... Cantor defined

**cardinality**in terms of bijective functions two sets have the same

**cardinality**if and only if there exists a bijective function between them ...

Cantor's Paradox - Statements and Proofs

... This fact is a direct consequence of Cantor's theorem on the

... This fact is a direct consequence of Cantor's theorem on the

**cardinality**of the power set of a set ... Then (in the von Neumann formulation of**cardinality**) C is a set and therefore has a power set 2C which, by Cantor's theorem, has**cardinality**strictly larger than ... Demonstrating a**cardinality**(namely that of 2C) larger than C, which was assumed to be the greatest cardinal number, falsifies the definition of C ...**Cardinality**(SQL Statements)

... In SQL (Structured Query Language), the term

**cardinality**refers to the uniqueness of data values contained in a particular column (attribute) of a database table ... The lower the

**cardinality**, the more duplicated elements in a column ... Thus, a column with the lowest possible

**cardinality**would have the same value for every row ...

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