decidableadj.

Brit.

/dᵻˈsʌɪdəbl/, U.S.

/dəˈsaɪdəbəl/,

/diˈsaɪdəbəl/

Forms: 1500s– decidable, 1500s– decideable.

Origin: Formed within English, by derivation. Etymons: decide v.¹, -able suffix.

Etymology: < decide v.¹ + -able suffix. In sense 1b probably after German entscheidbar (1904 or earlier in this sense).

a. About which a decision can be made; that can be decided, determined, or resolved.

ΘΚΠ

the mind > attention and judgement > judgement or decision > [adjective] > capable of being decided

determinable1485

decidable1594

1594 R. Carew tr. J. Huarte Exam. Mens Wits v. 52 What the vse..of them may be..is not easily decideable [It. non è facile il determinarlo].

1594 Proclam. Priuie Counsel (single sheet) (1595) Petitions and Complaints..: wherof commonly the most part..be such as are depending, or decidable in some of her Maiesties Courtes of Iustice.

1638 W. Chillingworth Relig. Protestants i. ii. §156. 115 Controversies..about Faith, are either not at all decidable..or they may be determined by Scripture.

1708 J. Chamberlayne Magnæ Britanniæ Notitia (ed. 22) ii. ii. xii. 505 All Cases of Trade..are there decidable.

1784 Gentleman's Mag. Mar. 176/1 I pretend not to have any settled opinion on the subject; indeed I rather think it a question scarcely decidable.

1851 T. Carlyle Life J. Sterling ii. viii. 249 The thing not being decidable by that kind of weapon.

1957 G. Ryle in M. Black Importance of Lang. (1962) 161 Questions of whether a rule has been broken or not are decidable without debate.

1973 A. H. Sommerstein Sound Pattern Anc. Greek ii. 26 A question not fully decidable by any evidence we have.

2010 Daily Champion (Lagos) (Nexis) 5 May So, the level of disagreement with his ambition or desire is meaningless in so far as who occupies that exalted office is decidable by votes.

b. Logic and Mathematics. Of a statement, formula, etc.: capable of being proved or disproved within a given logical system; (of a set, logical system, etc.) having the property that there is a decision procedure which unambiguously determines whether or not an arbitrary statement, object, etc., is contained within the set or system. Compare Gödel's theorem n. at Gödel n. 1.

ΘΚΠ

the world > relative properties > number > mathematics > [adjective] > relating to mathematical enquiry > of a proposition

decidable1935

undecidable1937

the mind > mental capacity > philosophy > logic > predicate or propositional logic > [adjective] > decidable or undecidable

decidable1935

undecidable1937

1935 Mind 44 328 For finitists, the problem whether a given alternative is decidable, a given problem solvable (by a constructive method).

1950 W. V. Quine Methods of Logic (1952) 247 Elementary algebra is completable and mechanically decidable while elementary number theory is not.

1988 Philosophy 63 185 Although elementary arithmetic is undecidable, arithmetic with addition but without multiplication is decidable.

2008 Times Lit. Suppl. 8 Feb. 28/3 Since Goldbach's conjecture may not be decidable (there may be neither a proof nor a disproof of it), it may not be determinately true or false.

†2. That has yet to be decided; still open to decision. Obsolete.

ΘΚΠ

the mind > mental capacity > belief > uncertainty, doubt, hesitation > insecure knowledge, uncertainty > questionable state or quality > [adjective]

openlOE

doubtousc1330

uncertain1338

doubtyc1380

brigousa1387

doubtablec1400

doubtfula1425

questionable1443

batable1453

strivablec1456

inquirable1485

litigious1520

doubtsomea1522

disputable1548

dubious1548

doubted?1551

moot1563

problematical1567

discussiblea1578

debatable1581

controversial1583

disputativea1586

debateful1587

decidable1596

controversible1601

controvertible1601

controversal1604

controversable1607

problematic1609

controversary1610

left-handed1610

disputed1611

dubitable1625

quarrellable1642

catchinga1670

non liquet1678

brigose1679

contestable1702

equivocala1797

controversional1807

contradictable1856

discutable1868

hinky1961

1596 T. Lodge Diuel Coniured sig. Eiij A decideable subiect may likewise be raised on this, whether Diuels can cure all diseases?

1611 J. Speed Hist. Great Brit. ix. xv. 628/1 It was a question decideable, whether of the Kingdoms was first to be dealt with.

1776 St. James's Chron. 18 Jan. The Names of some of the greatest..are to be found in the List..; whether proceeding from Humanity.., or a Spirit of Revenge, is decidable in the Breast of all good and reasonable Men.

This entry has been updated (OED Third Edition, June 2015; most recently modified version published online March 2022).

单词	decidable
释义	decidableadj. Brit. /dᵻˈsʌɪdəbl/, U.S. /dəˈsaɪdəbəl/, /diˈsaɪdəbəl/ Forms: 1500s– decidable, 1500s– decideable. Origin: Formed within English, by derivation. Etymons: decide v.¹, -able suffix. Etymology: < decide v.¹ + -able suffix. In sense 1b probably after German entscheidbar (1904 or earlier in this sense). 1. a. About which a decision can be made; that can be decided, determined, or resolved. ΘΚΠ the mind > attention and judgement > judgement or decision > [adjective] > capable of being decided determinable1485 decidable1594 1594 R. Carew tr. J. Huarte Exam. Mens Wits v. 52 What the vse..of them may be..is not easily decideable [It. non è facile il determinarlo]. 1594 Proclam. Priuie Counsel (single sheet) (1595) Petitions and Complaints..: wherof commonly the most part..be such as are depending, or decidable in some of her Maiesties Courtes of Iustice. 1638 W. Chillingworth Relig. Protestants i. ii. §156. 115 Controversies..about Faith, are either not at all decidable..or they may be determined by Scripture. 1708 J. Chamberlayne Magnæ Britanniæ Notitia (ed. 22) ii. ii. xii. 505 All Cases of Trade..are there decidable. 1784 Gentleman's Mag. Mar. 176/1 I pretend not to have any settled opinion on the subject; indeed I rather think it a question scarcely decidable. 1851 T. Carlyle Life J. Sterling ii. viii. 249 The thing not being decidable by that kind of weapon. 1957 G. Ryle in M. Black Importance of Lang. (1962) 161 Questions of whether a rule has been broken or not are decidable without debate. 1973 A. H. Sommerstein Sound Pattern Anc. Greek ii. 26 A question not fully decidable by any evidence we have. 2010 Daily Champion (Lagos) (Nexis) 5 May So, the level of disagreement with his ambition or desire is meaningless in so far as who occupies that exalted office is decidable by votes. b. Logic and Mathematics. Of a statement, formula, etc.: capable of being proved or disproved within a given logical system; (of a set, logical system, etc.) having the property that there is a decision procedure which unambiguously determines whether or not an arbitrary statement, object, etc., is contained within the set or system. Compare Gödel's theorem n. at Gödel n. 1. ΘΚΠ the world > relative properties > number > mathematics > [adjective] > relating to mathematical enquiry > of a proposition decidable1935 undecidable1937 the mind > mental capacity > philosophy > logic > predicate or propositional logic > [adjective] > decidable or undecidable decidable1935 undecidable1937 1935 Mind 44 328 For finitists, the problem whether a given alternative is decidable, a given problem solvable (by a constructive method). 1950 W. V. Quine Methods of Logic (1952) 247 Elementary algebra is completable and mechanically decidable while elementary number theory is not. 1988 Philosophy 63 185 Although elementary arithmetic is undecidable, arithmetic with addition but without multiplication is decidable. 2008 Times Lit. Suppl. 8 Feb. 28/3 Since Goldbach's conjecture may not be decidable (there may be neither a proof nor a disproof of it), it may not be determinately true or false. †2. That has yet to be decided; still open to decision. Obsolete. ΘΚΠ the mind > mental capacity > belief > uncertainty, doubt, hesitation > insecure knowledge, uncertainty > questionable state or quality > [adjective] openlOE doubtousc1330 uncertain1338 doubtyc1380 brigousa1387 doubtablec1400 doubtfula1425 questionable1443 batable1453 strivablec1456 inquirable1485 litigious1520 doubtsomea1522 disputable1548 dubious1548 doubted?1551 moot1563 problematical1567 discussiblea1578 debatable1581 controversial1583 disputativea1586 debateful1587 decidable1596 controversible1601 controvertible1601 controversal1604 controversable1607 problematic1609 controversary1610 left-handed1610 disputed1611 dubitable1625 quarrellable1642 catchinga1670 non liquet1678 brigose1679 contestable1702 equivocala1797 controversional1807 contradictable1856 discutable1868 hinky1961 1596 T. Lodge Diuel Coniured sig. Eiij A decideable subiect may likewise be raised on this, whether Diuels can cure all diseases? 1611 J. Speed Hist. Great Brit. ix. xv. 628/1 It was a question decideable, whether of the Kingdoms was first to be dealt with. 1776 St. James's Chron. 18 Jan. The Names of some of the greatest..are to be found in the List..; whether proceeding from Humanity.., or a Spirit of Revenge, is decidable in the Breast of all good and reasonable Men. This entry has been updated (OED Third Edition, June 2015; most recently modified version published online March 2022). < adj.1594
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