Dedekind Cut Definition

noun

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 .

Wiktionary

Other Word Forms of Dedekind Cut

Noun

Singular:
Dedekind cut
Plural:
Dedekind cuts

Origin of Dedekind Cut

  • 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).

    From Wiktionary

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Dedekind cut