Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

Uncountable

Revision as of 01:02, 29 June 2006 by ComplexZeta (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

A set $S$ is said to be uncountable if there is no injection $f:S\to\mathbb{Z}$. A well-known example of an uncountable set is the set of real numbers $\mathbb{R}$.

(Someone should give the proof that $\mathbb{R}$ is uncountable.)

This article is a stub. Help us out by expanding it.

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=Uncountable&oldid=5264"