• synonyms

Dedekind cut

noun Mathematics.

two nonempty subsets of an ordered field, as the rational numbers, such that one subset is the collection of upper bounds of the second and the second is the collection of lower bounds of the first: can be used to define the real numbers in terms of the rational numbers.


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Origin of Dedekind cut

named after J.W.R. Dedekind Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019

British Dictionary definitions for dedekind cut

Dedekind cut

/ (German ˈdedəˌkɪnt) /


a method of according the same status to irrational and rational numbers, devised by Julius Wilhelm Dedekind (1831–1916)
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012