Infinite set

In set theory, an infinite set is a set that is not a finite set.

Infinite sets may be countable or uncountable.

Description

Some examples are:

• the set of all integers, {..., -1, 0, 1, 2, ...}, is a countably infinite set; and
• the set of all real numbers is an uncountably infinite set.

See also

• Aleph number
• Countable set
• Dedekind-infinite set
• Finite set
• Infinity
• Uncountable set

External links

• Infinite set @ Wikipedia