The Continuum Hypothesis

The Continuum Hypothesis (CH) is a mathematical concept concerning the sizes of infinite sets. It asserts that there is no set whose size (cardinality) is strictly between that of the integers and the real numbers. In simpler terms, it suggests that if you have an infinite quantity that’s larger than all whole numbers (like real numbers), there aren't any infinite sizes in between these two types of infinities. The hypothesis has been shown to be independent of standard mathematical axioms, meaning that it can neither be proven nor disproven using them, leaving its truth undecided within conventional set theory.