Set Theory - Cardinality (Finite/Infinite Size)

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Set Theory - Cardinality (Finite/Infinite Size)

About

cardinality in set

The cardinality denotes the number of elements or cardinality of the set. (ie its size or length)

Notation

<MATH>\Large |S|</MATH>

Example

The set

<m>delim{lbrace}{1,2,3,4}{rbrace}</m>

has a cardinality of 4.

Type

Finite

A finite set is a set that you can count.

Rule

If A and B are finite sets then <MATH> \Large |A \times B| = |A| \times |B| </MATH> where x denotes the cross product







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