KnowraDedekind cutLinked fromLinked fromThe 10 pages that link to Dedekind cut, each with the reason it gives.All 10Broader topic 1Related 9Real numberRelated: Dedekind cuts construct real numbers by locating boundaries among rationals.Rational numberRelated: Cuts expose gaps in the rationals that the real numbers fill.Irrational numberRelated: Cuts construct irrational numbers as precise gaps among rational numbers.SupremumRelated: A missing rational supremum can be represented as a cut defining an irrational real number.InfimumRelated: The boundary of a cut captures a real number as a least upper or greatest lower bound.Upper boundRelated: Cuts encode real numbers through order boundaries that act like least upper bounds.Completeness of the real numbersRelated: The absence of gaps between cuts provides a construction of a complete ordered field.Cantor–Dedekind axiomRelated: Cuts give a precise construction of the numerical continuum identified with the line.Infimum and supremumRelated: Dedekind cuts explain how real numbers fill gaps measured by rational suprema.