well-orderedadj.

Brit.

/ˌwɛlˈɔːdəd/, U.S.

/ˌwɛlˈɔrdərd/

Forms: see well adv. and n.⁴ and ordered adj.¹

Origin: Formed within English, by compounding. Etymons: well adv., ordered adj.¹

Etymology: < well adv. + ordered adj.¹ In sense 2 after German wohlgeordnet (G. Cantor in Math. Ann. (1883) 21 548, (1898) 49 207).

1. Exhibiting good order; rightly regulated; properly or carefully arranged or organized.

ΘΚΠ

the world > relative properties > order > [adjective] > (well-)ordered or regulated

ordinee1340

well-correctedc1405

well-ordered1489

well-regulated1579

well-adjusted1657

the world > relative properties > order > [adjective] > ordered or systematically arranged > well-ordered or well-arranged

well-disposeda1398

arrayedc1405

well-laid1577

methodical1650

well-digested1708

well-ordered1712

well-arranged1823

well-structured1837

1489 W. Caxton tr. C. de Pisan Bk. Fayttes of Armes i. xxiii. sig. Eiiij Yf eny quantyte of comons be there men oughte to fortyfye wyth suche manere of men the wingys of bothe sydes by fayre rowes wel ordred at the bak syde of the shot.

1517 W. Atkinson tr. Full Deuoute & Gostely Treatyse Imytacyon Cryste i. xxiv. sig. C.v Nowe thy welle ordered laboure is frutefull.

1547 J. Hooper Answer Detection Deuyls Sophistrye Ded. sig. A ij^v It is not ignoraunt unto youe what may be done by the vertue of a fere and well orderyd oracion.

1609 W. Shakespeare Troilus & Cressida ii. ii. 179 There is a lawe in each well-orderd nation, To curbe those raging appetites that are Most disobedient and refracturie.

?1615 G. Chapman tr. Homer Odysses (new ed.) xix. 158 Nothing else, the cause Of all these blessings, but well order'd Lawes.

1668 R. Steele Husbandmans Calling v. 96 Well-ordered charity makes no man poor.

1712 J. Addison Spectator No. 417. ¶5 The Æneid is like a well ordered Garden.

a1774 A. Tucker Light of Nature Pursued (1777) III. i. 57 It is of the utmost importance to have a well ordered imagination.

1841 C. Dickens Barnaby Rudge xl. 165 White, well-ordered teeth.

1885 C. E. Pascoe London of To-day xv. 147 ‘To church’ or ‘to chapel’ in the morning, at least, is the custom of most well-ordered persons in London.

1914 Boys' Life June 40/1 The daily routine is a well ordered combination of work and play.

1971 J. Rawls Theory of Justice i. i. 14 The idea of reciprocity implicit in the notion of a well-ordered society.

2011 Brattleboro (Vermont) Reformer (Nexis) 10 June She keeps the kitchen..clean and well-ordered.

2. Mathematics. Of an ordered set: having the property that every non-empty subset of the set has a first or least element.

ΘΚΠ

the world > relative properties > number > mathematical number or quantity > numerical arrangement > [adjective] > of sets

tantipartite1858

connected1893

measurable1901

ordered1901

well-ordered1901

null1903

empty1905

closed1909

orthonormal1928

matroid1935

recursively enumerable1936

simple1936

disjoint1937

partially ordered1941

1901 Trans. Amer. Math. Soc. 2 474 Well ordered sets..are for the purposes of the definition equivalent.

1931 P. Dienes Taylor Series iii. 95 All these definitions..extend to every type of transfinite sequence (well-ordered set) of numbers.

1975 R. A. Silverman tr. A. N. Kolmogorov & S. V. Formin Introd. Real Anal. (rev. ed.) i. 23 The set M of rational numbers in the interval [0, 1] is ordered but not well-ordered.

2004 M. Potter Set Theory & its Philos. p. vi The class of all ordinals is well-ordered.

This entry has been updated (OED Third Edition, December 2014; most recently modified version published online December 2021).

单词	well-ordered
释义	well-orderedadj. Brit. /ˌwɛlˈɔːdəd/, U.S. /ˌwɛlˈɔrdərd/ Forms: see well adv. and n.⁴ and ordered adj.¹ Origin: Formed within English, by compounding. Etymons: well adv., ordered adj.¹ Etymology: < well adv. + ordered adj.¹ In sense 2 after German wohlgeordnet (G. Cantor in Math. Ann. (1883) 21 548, (1898) 49 207). 1. Exhibiting good order; rightly regulated; properly or carefully arranged or organized. ΘΚΠ the world > relative properties > order > [adjective] > (well-)ordered or regulated ordinee1340 well-correctedc1405 well-ordered1489 well-regulated1579 well-adjusted1657 the world > relative properties > order > [adjective] > ordered or systematically arranged > well-ordered or well-arranged well-disposeda1398 arrayedc1405 well-laid1577 methodical1650 well-digested1708 well-ordered1712 well-arranged1823 well-structured1837 1489 W. Caxton tr. C. de Pisan Bk. Fayttes of Armes i. xxiii. sig. Eiiij Yf eny quantyte of comons be there men oughte to fortyfye wyth suche manere of men the wingys of bothe sydes by fayre rowes wel ordred at the bak syde of the shot. 1517 W. Atkinson tr. Full Deuoute & Gostely Treatyse Imytacyon Cryste i. xxiv. sig. C.v Nowe thy welle ordered laboure is frutefull. 1547 J. Hooper Answer Detection Deuyls Sophistrye Ded. sig. A ij^v It is not ignoraunt unto youe what may be done by the vertue of a fere and well orderyd oracion. 1609 W. Shakespeare Troilus & Cressida ii. ii. 179 There is a lawe in each well-orderd nation, To curbe those raging appetites that are Most disobedient and refracturie. View more context for this quotation ?1615 G. Chapman tr. Homer Odysses (new ed.) xix. 158 Nothing else, the cause Of all these blessings, but well order'd Lawes. 1668 R. Steele Husbandmans Calling v. 96 Well-ordered charity makes no man poor. 1712 J. Addison Spectator No. 417. ¶5 The Æneid is like a well ordered Garden. a1774 A. Tucker Light of Nature Pursued (1777) III. i. 57 It is of the utmost importance to have a well ordered imagination. 1841 C. Dickens Barnaby Rudge xl. 165 White, well-ordered teeth. 1885 C. E. Pascoe London of To-day xv. 147 ‘To church’ or ‘to chapel’ in the morning, at least, is the custom of most well-ordered persons in London. 1914 Boys' Life June 40/1 The daily routine is a well ordered combination of work and play. 1971 J. Rawls Theory of Justice i. i. 14 The idea of reciprocity implicit in the notion of a well-ordered society. 2011 Brattleboro (Vermont) Reformer (Nexis) 10 June She keeps the kitchen..clean and well-ordered. 2. Mathematics. Of an ordered set: having the property that every non-empty subset of the set has a first or least element. ΘΚΠ the world > relative properties > number > mathematical number or quantity > numerical arrangement > [adjective] > of sets tantipartite1858 connected1893 measurable1901 ordered1901 well-ordered1901 null1903 empty1905 closed1909 orthonormal1928 matroid1935 recursively enumerable1936 simple1936 disjoint1937 partially ordered1941 1901 Trans. Amer. Math. Soc. 2 474 Well ordered sets..are for the purposes of the definition equivalent. 1931 P. Dienes Taylor Series iii. 95 All these definitions..extend to every type of transfinite sequence (well-ordered set) of numbers. 1975 R. A. Silverman tr. A. N. Kolmogorov & S. V. Formin Introd. Real Anal. (rev. ed.) i. 23 The set M of rational numbers in the interval [0, 1] is ordered but not well-ordered. 2004 M. Potter Set Theory & its Philos. p. vi The class of all ordinals is well-ordered. This entry has been updated (OED Third Edition, December 2014; most recently modified version published online December 2021). < adj.1489
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