In 1891, he published a paper containing his elegant "diagonal argument" for the existence of an uncountable set.
But if a set has the same cardinality as the real numbers, it is called an uncountable set.
The set of all such sequences form an uncountable set.
Let X be an uncountable set of points, of which P is one.
The distinction is made between a countable set and an uncountable set.
That is, the function's domain is an uncountable set.
An uncountable set is an infinite set that is impossible to count.
The set of real numbers is an uncountable set.
An uncountable set is bigger than an infinite countable set.
One line of inquiry questions whether it is accurate to claim that any first-order sentence actually states "there are uncountable sets".