Karl Jones: Created page with "In set theory, an '''infinite set''' is a set that is not a finite set. Infinite sets may be countable or Uncountable set|u..."

2016-09-22T15:35:36Z

Created page with "In set theory, an '''infinite set''' is a set that is not a finite set. Infinite sets may be countable or Uncountable set|u..."

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In [[set theory]], an '''infinite set''' is a [[Set (mathematics)|set]] that is not a [[finite set]].

Infinite sets may be [[Countable set|countable]] or [[Uncountable set|uncountable]].

== Description ==

Some examples are:

* the set of all [[Integer|integers]], {..., -1, 0, 1, 2, ...}, is a countably infinite set; and
* the set of all [[Real number|real number]]s is an uncountably infinite set.

== See also ==

* [[Aleph number]]
* [[Countable set]]
* [[Dedekind-infinite set]]
* [[Finite set]]
* [[Infinity]]
* [[Uncountable set]]

== External links ==

* [https://en.wikipedia.org/wiki/Infinite_set Infinite set] @ Wikipedia

[[Category:Mathematics]]
[[Category:Set theory]]

Infinite set - Revision history

Karl Jones: Created page with "In set theory, an '''infinite set''' is a set that is not a finite set. Infinite sets may be countable or Uncountable set|u..."