A set is uncountable if it contains so many elements that they cannot be put in one-to-one correspondence with the set of natural numbers. ... Uncountable is in contrast to countably infinite or countable. For example, the set of real numbers in the interval [0,1] is uncountable.
What are examples of uncountable sets?
Examples of uncountable set include:
- Rational Numbers.
- Irrational Numbers.
- Real Numbers.
- Complex Numbers.
- Imaginary Numbers, etc. Data.
How do you write an uncountable number?
The most common way that uncountable sets are introduced is in considering the interval (0, 1) of real numbers. From this fact, and the one-to-one function f( x ) = bx + a. it is a straightforward corollary to show that any interval (a, b) of real numbers is uncountably infinite.
