CH (continuum hypothesis)

The Continuum Hypothesis (CH) is a mathematical idea about the size of infinite sets, specifically the size of the set of real numbers (like all points on a line). It questions whether there is a set whose size is strictly bigger than the smallest infinity (counting numbers) but smaller than the infinity of real numbers. CH states that no such intermediate size exists, meaning the size of real numbers is exactly the next level of infinity after counting numbers. It is a fundamental question about how infinite sets are structured and has deep implications in set theory and mathematics.