Which of These Is an Uncountable Set?

The set of all points on a line segment

Explanation

The sets \(\mathbb{N}\), even numbers, and perfect squares are all countably infinite (each can be bijected with \(\mathbb{N}\)). The set of all points on a line segment is uncountable — it cannot be put into bijection with \(\mathbb{N}\). Its cardinality is \(c\), the cardinal number of \(\mathbb{R}\).