well-orderingn.

Brit.

/ˌwɛlˈɔːd(ə)rɪŋ/, U.S.

/ˌwɛlˈɔrd(ə)rɪŋ/

Forms: see well adv. and n.⁴ and ordering n.

Origin: Formed within English, by compounding. Etymons: well adv., ordering n.

Etymology: < well adv. + ordering n., after well-ordered adj. Compare later well-order v.

1. The fact or condition of being well-ordered; good order, proper arrangement. Also: the action of arranging or organizing something properly.

ΘΚΠ

the world > relative properties > order > [noun] > putting in order

well-ordering1531

composition1598

composal1615

adjustment1644

classification1772

categorization1886

1531 T. Elyot Bk. named Gouernour i. xi. sig. Evii For the conductynge and well ordring of hostes or armyes.

a1586 Sir P. Sidney Apol. Poetrie (1595) sig. B3 The well ordering of a banquet.

1614 G. Markham (title) Cheape and Good Husbandry, for the well-Ordering of all Beasts, and Fowles.

1668 S. Pepys Diary 16 Sept. (1976) IX. 308 The well-ordering of the men [at a muster of the Guards].

1709 Grand Design's Dissenting Teachers Discover'd 26 The Bishops..have Authority..to determine of things undetermin'd by the Scripture, for the well ordering and benefit of the Church.

1782 Encycl. Brit. IX. 6711/2 On the well-ordering of these cords chiefly depends the art of ribbon-weaving.

1845 Encycl. Metrop. XX. 758/2 The Benchers of each Society thanked the Members of the Committee for their well ordering of the business.

1851 H. Spencer Social Statics iv. xxx. 448 The well ordering of human affairs in the remotest and most insignificant communities is beneficial to all men.

1915 Boston Evening Globe 6 Feb. 8/8 In the well ordering of my work I find rest.

2005 C. Drinkwater in S. Tremain Foucault & Govt. of Disability 232 Modern government is concerned with the well-being and well ordering of the population as a whole.

2. Mathematics. The property of being a well-ordered set (see well-ordered adj. 2). Also: a well-ordered set.

ΘΚΠ

the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set > elements in or parts of > relation between

well-ordering1914

symmetric difference1936

partial ordering1938

equivalence relation1940

symmetrical difference1978

1914 Math. Gaz. 7 303 As regards ordinal types, we have..the question of well-ordering.

1941 G. Birkhoff & S. MacLane Surv. Mod. Algebra i. 9 The integers have one further important property, not characteristically algebraic and not shared by other number systems. This is the well-ordering principle.

1963 W. V. Quine Set Theory 145 Well-orderings are notable for their exemplary behavior.

2004 M. Potter Set Theory & its Philos. xiv. 244 For every well-ordering on a set A there exists a definite choice function.

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

† well-orderingadj.

Origin: Formed within English, by derivation. Etymons: well-order v., -ing suffix².

Etymology: < well-order v. + -ing suffix².

Obsolete.

That orders something well; that properly arranges or regulates something. Chiefly with reference to God.

ΘΚΠ

society > authority > control > [adjective] > regulating

regulative1599

ordinant1604

ordinative1605

well-ordering1619

regulating1628

regulatory1775

1619 W. Pemberton Charge of God & King Ep. Ded. sig. A8 The glory of God, in our good of Church and Common-wealth, which..are preserued and cherished, with heauenly influence, through your well-ordered and well-ordering motion.

1668 R. Steele Husbandmans Calling x. 246 The over-ruling and well ordering hand of Providence.

a1742 T. Story Jrnl. of Life (1747) 58 The good and well-ordering Hand of the Lord.

1864 W. J. Courthope 300th Anniv. Shakespeare's Birth 10 Soon, in this mimic world, well-ordering Art To every shadow dealt his various part.

1869 C. Rogers Life & Songs Baroness Nairne p. l She expressed her entire confidence in a well-ordering God—a loving Saviour.

This entry has been updated (OED Third Edition, December 2014; most recently modified version published online June 2018).

单词	well-ordering
释义	well-orderingn. Brit. /ˌwɛlˈɔːd(ə)rɪŋ/, U.S. /ˌwɛlˈɔrd(ə)rɪŋ/ Forms: see well adv. and n.⁴ and ordering n. Origin: Formed within English, by compounding. Etymons: well adv., ordering n. Etymology: < well adv. + ordering n., after well-ordered adj. Compare later well-order v. 1. The fact or condition of being well-ordered; good order, proper arrangement. Also: the action of arranging or organizing something properly. ΘΚΠ the world > relative properties > order > [noun] > putting in order well-ordering1531 composition1598 composal1615 adjustment1644 classification1772 categorization1886 1531 T. Elyot Bk. named Gouernour i. xi. sig. Evii For the conductynge and well ordring of hostes or armyes. a1586 Sir P. Sidney Apol. Poetrie (1595) sig. B3 The well ordering of a banquet. 1614 G. Markham (title) Cheape and Good Husbandry, for the well-Ordering of all Beasts, and Fowles. 1668 S. Pepys Diary 16 Sept. (1976) IX. 308 The well-ordering of the men [at a muster of the Guards]. 1709 Grand Design's Dissenting Teachers Discover'd 26 The Bishops..have Authority..to determine of things undetermin'd by the Scripture, for the well ordering and benefit of the Church. 1782 Encycl. Brit. IX. 6711/2 On the well-ordering of these cords chiefly depends the art of ribbon-weaving. 1845 Encycl. Metrop. XX. 758/2 The Benchers of each Society thanked the Members of the Committee for their well ordering of the business. 1851 H. Spencer Social Statics iv. xxx. 448 The well ordering of human affairs in the remotest and most insignificant communities is beneficial to all men. 1915 Boston Evening Globe 6 Feb. 8/8 In the well ordering of my work I find rest. 2005 C. Drinkwater in S. Tremain Foucault & Govt. of Disability 232 Modern government is concerned with the well-being and well ordering of the population as a whole. 2. Mathematics. The property of being a well-ordered set (see well-ordered adj. 2). Also: a well-ordered set. ΘΚΠ the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set > elements in or parts of > relation between well-ordering1914 symmetric difference1936 partial ordering1938 equivalence relation1940 symmetrical difference1978 1914 Math. Gaz. 7 303 As regards ordinal types, we have..the question of well-ordering. 1941 G. Birkhoff & S. MacLane Surv. Mod. Algebra i. 9 The integers have one further important property, not characteristically algebraic and not shared by other number systems. This is the well-ordering principle. 1963 W. V. Quine Set Theory 145 Well-orderings are notable for their exemplary behavior. 2004 M. Potter Set Theory & its Philos. xiv. 244 For every well-ordering on a set A there exists a definite choice function. This entry has been updated (OED Third Edition, December 2014; most recently modified version published online December 2021). † well-orderingadj. Origin: Formed within English, by derivation. Etymons: well-order v., -ing suffix². Etymology: < well-order v. + -ing suffix². Obsolete. That orders something well; that properly arranges or regulates something. Chiefly with reference to God. ΘΚΠ society > authority > control > [adjective] > regulating regulative1599 ordinant1604 ordinative1605 well-ordering1619 regulating1628 regulatory1775 1619 W. Pemberton Charge of God & King Ep. Ded. sig. A8 The glory of God, in our good of Church and Common-wealth, which..are preserued and cherished, with heauenly influence, through your well-ordered and well-ordering motion. 1668 R. Steele Husbandmans Calling x. 246 The over-ruling and well ordering hand of Providence. a1742 T. Story Jrnl. of Life (1747) 58 The good and well-ordering Hand of the Lord. 1864 W. J. Courthope 300th Anniv. Shakespeare's Birth 10 Soon, in this mimic world, well-ordering Art To every shadow dealt his various part. 1869 C. Rogers Life & Songs Baroness Nairne p. l She expressed her entire confidence in a well-ordering God—a loving Saviour. This entry has been updated (OED Third Edition, December 2014; most recently modified version published online June 2018). < n.1531adj.1619
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