/ Dictionary / Index W well-ordered set: Meaning and Definition of Find definitions for: well'-ordered set' Pronunciation: [key] — Math. Math. a totally ordered set in which every nonempty subset has a smallest element with the property that there is no element in the subset less than this smallest element. Cf. Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease. well-ordered well-ordering theorem Related Content Daily Word Quiz: perspicacious Analogy of the Day: Today’s Analogy Spelling Bee: Today’s Spelling Bee Frequently Misspelled Words Frequently Mispronounced Words Easily Confused Words Writing & Language