An uncountable set is, informally, an infinite set that contains too many elements to be countable, meaning its elements cannot be placed in a one to one correspondence with the natural numbers. Its uncountability is tied to its cardinal number: a set is uncountable when its cardinality is larger than aleph null, the cardinality of the natural numbers. The real numbers and the set of all subsets of the natural numbers are both standard examples of uncountable sets.
Facts
Finite or Infinite Connections
In Branch
Source Uncountable Set (Wikipedia)
Is Kind Of Object
Sources
1. Uncountable Set (Wikipedia)
Lead section
In mathematics, an uncountable set, informally, is an infinite set that contains too many elements to be countable.
Lead section, finite or infinite
an infinite set that contains too many elements to be countable
View the SourceReader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.
Sign in to dispute this or suggest a correction.