/ Dictionary / Index T totally ordered set: Meaning and Definition of Find definitions for: to'tally or'dered set' Pronunciation: [key] — Math. Math. a set in which a relation, as “less than or equal to,” holds for all pairs of elements of the set. Also called chain, linearly ordered set, simply ordered set. Cf. partially ordered set, well-ordered set. Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease. totally total parenteral nutrition Related Content Daily Word Quiz: vertigo Analogy of the Day: Today’s Analogy Spelling Bee: Today’s Spelling Bee Frequently Misspelled Words Frequently Mispronounced Words Easily Confused Words Writing & Language