English Explanatory Dictionary

Dedekind cut

English dictionary entry

Meanings

noun
  1. Any partition of the set of rational numbers into non-empty sets A and B such that all elements of A are less than all elements of B and A contains no greatest element; intended as a construction of a real number.

Word forms

Dedekind cut Dedekind cuts

Etymology

Named after German mathematician Richard Dedekind (1831–1916), who introduced the concept (although a similar construction was used in Euclid's Elements to define proportional segments).

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