Uncountable set
set with cardinal number larger than that of the set of all natural numbers From Wikipedia, the free encyclopedia
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 ,[1] is an uncountable set.[2] There are many other uncountable sets, such as the interval .[3] 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.
![{\displaystyle [0,1]}](http://wikimedia.org/api/rest_v1/media/math/render/svg/738f7d23bb2d9642bab520020873cccbef49768d)
Wikiwand in your browser!
Seamless Wikipedia browsing. On steroids.
Every time you click a link to Wikipedia, Wiktionary or Wikiquote in your browser's search results, it will show the modern Wikiwand interface.
Wikiwand extension is a five stars, simple, with minimum permission required to keep your browsing private, safe and transparent.
