Definitions

from Wiktionary, Creative Commons Attribution/Share-Alike License

  • adj. Having a precise arrangement.
  • adj. Having a well-order.
  • v. Simple past tense and past participle of well-order.

from The Century Dictionary and Cyclopedia

  • In mathematics, in the theory of assemblages, said of an aggregate or set when and only when its elements have been so disposed in fact or in thought, that: of any two elements a and b, one, as a, precedes (that is, is of lower rank) and the other, as b, comes after (that is, is of higher rank);
  • of any triplet of elements a, b, c, if a is of lower rank than b, and b is lower than c, then a is lower than c;
  • the set has an element of lowest rank, a first term, and the same is true of every part of the set, that is, of every set whose elements are elements of the given set or series;
  • every element, unless it be the last, has an immediate successor;
  • the series satisfies Dedekind's postulate.
  • Rightly or correctly ordered, regulated, or governed.

from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.

  • adj. ordered well

Etymologies

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