Completeness of the real numbers
= Completeness of the real numbers
{wiki=Completeness_of_the_real_numbers}
The completeness of the real numbers is a fundamental property that distinguishes the real numbers \\(\\mathbb\{R\}\\) from the rational numbers \\(\\mathbb\{Q\}\\). Completeness refers to the idea that every non-empty set of real numbers that is bounded above has a least upper bound (also known as the supremum).