Dedekind cut

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Dedekind cut

(German ˈdedəˌkɪnt)
n
1. (Mathematics) a method of according the same status to irrational and rational numbers, devised by Julius Wilhelm Dedekind (1831-1916)
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a) Dedekind cuts whose purpose is to provide a sound logical foundation for the real number system.
We can, moreover, construct other kinds of numbers, for instance, non-rational real numbers with the help of Dedekind cuts.