well-orderv.

Brit.

/ˌwɛlˈɔːdə/, U.S.

/ˌwɛlˈɔrdər/

Origin: Formed within English, by compounding. Etymons: well adv., order v.

Etymology: < well adv. + order v., after well-ordered adj.

1. transitive. To order (something) properly or carefully; to arrange well. Now rare.

ΘΚΠ

the world > relative properties > number > mathematical number or quantity > numerical arrangement > manipulate set [verb (transitive)]

well-order1618

interpole1677

sum1740

interpolate1796

represent1897

truncate1955

intrapolate1956

partition1959

convolve1969

1618 T. Adams Happines of Church i. 93 If wee well order the booke of our conscience,..if we can write our selues holy in earth.

1644 C. Grantham Godly Mans Choice 80 You must be helpfull one to another, in over-seeing, guiding, governing, and well-ordering the wayes of your family.

1738 A. Cruden Compl. Concordance Holy Script. II. Apocrypha at Crown Receive a c. for well ordering the feast.

1815 E. Boudinot Second Advent 495 To well order the world in the kingdom of the Almighty.

2007 M. Kosch tr. T. Pogge J. Rawls vii. 153 To be able to well-order a society, a political conception of justice..should suffice transparently to support definite answers to all or nearly all questions regarding the design of the basic structure.

2. transitive. Mathematics. To arrange the elements of (a set) in such an order as to generate a well-ordered set. Cf. well-ordered adj. 2.

ΚΠ

1913 A. N. Whitehead & B. Russell Principia Mathematica III. 2 If every class can be well-ordered, the multiplicative axiom holds.

1966 McGraw-Hill Encycl. Sci. & Technol. (rev. ed.) XII. 206/1 One considers the collection Z of all subsets of X, selects a point x_α = f(z_α) from each element z_α of Z, and well orders X so that [etc.].

2001 Jrnl. Symbolic Logic 66 1121 Every choice set can be well-ordered.

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

单词	well-order
释义	well-orderv. Brit. /ˌwɛlˈɔːdə/, U.S. /ˌwɛlˈɔrdər/ Origin: Formed within English, by compounding. Etymons: well adv., order v. Etymology: < well adv. + order v., after well-ordered adj. 1. transitive. To order (something) properly or carefully; to arrange well. Now rare. ΘΚΠ the world > relative properties > number > mathematical number or quantity > numerical arrangement > manipulate set [verb (transitive)] well-order1618 interpole1677 sum1740 interpolate1796 represent1897 truncate1955 intrapolate1956 partition1959 convolve1969 1618 T. Adams Happines of Church i. 93 If wee well order the booke of our conscience,..if we can write our selues holy in earth. 1644 C. Grantham Godly Mans Choice 80 You must be helpfull one to another, in over-seeing, guiding, governing, and well-ordering the wayes of your family. 1738 A. Cruden Compl. Concordance Holy Script. II. Apocrypha at Crown Receive a c. for well ordering the feast. 1815 E. Boudinot Second Advent 495 To well order the world in the kingdom of the Almighty. 2007 M. Kosch tr. T. Pogge J. Rawls vii. 153 To be able to well-order a society, a political conception of justice..should suffice transparently to support definite answers to all or nearly all questions regarding the design of the basic structure. 2. transitive. Mathematics. To arrange the elements of (a set) in such an order as to generate a well-ordered set. Cf. well-ordered adj. 2. ΚΠ 1913 A. N. Whitehead & B. Russell Principia Mathematica III. 2 If every class can be well-ordered, the multiplicative axiom holds. 1966 McGraw-Hill Encycl. Sci. & Technol. (rev. ed.) XII. 206/1 One considers the collection Z of all subsets of X, selects a point x_α = f(z_α) from each element z_α of Z, and well orders X so that [etc.]. 2001 Jrnl. Symbolic Logic 66 1121 Every choice set can be well-ordered. This entry has been updated (OED Third Edition, December 2014; most recently modified version published online December 2021). < v.1618
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