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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 ijv 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).
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adj.1489
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