An uncountable set is an infinite set that is impossible to count.
If we try to count the elements, we will always skip some. It does not matter what size step we take. The set of real numbers, often written as , is an uncountable set. There are many other uncountable sets, such as the interval . An uncountable set is bigger than an infinite countable set. We know that because Georg Cantor proved it. He showed that any list of numbers is not complete. This is true even if the list is infinite.
This article uses material from the Wikipedia Simple English article Uncountable set, which is released under the Creative Commons Attribution-ShareAlike 3.0 license ("CC BY-SA 3.0"); additional terms may apply (view authors). Content is available under CC BY-SA 4.0 unless otherwise noted. Images, videos and audio are available under their respective licenses.
®Wikipedia is a registered trademark of the Wiki Foundation, Inc. Wiki Simple English (DUHOCTRUNGQUOC.VN) is an independent company and has no affiliation with Wiki Foundation.