# Dictionary Definition

sufficient adj : of a quantity that can fulfill a
need or requirement but without being abundant; "sufficient food"
[ant: insufficient]

# User Contributed Dictionary

## English

### Etymology

- From sufficiens, present participle of sufficio.

### Pronunciation

- IPA: /səˈfɪʃənt/

### Adjective

- Equal to the end proposed; adequate to wants; enough; ample; competent; as, provision sufficient for the family; an army sufficient to defend the country.
- Possessing adequate talents or accomplishments; of competent power or ability; qualified; fit.
- Capable of meeting obligations; responsible.
- Self-sufficient; self-satisfied; content.

#### Derived terms

#### Related terms

#### Translations

- Arabic:
- Chinese: 足夠, 足够 (zúgòu)
- Czech: dostatečný
- Dutch: voldoende
- Ewe: nyo
- Finnish: riittävä
- French: suffisant
- German: genügend, ausreichend
- Hungarian: elég, elégséges
- Italian: sufficiente
- Japanese: 充分な (じゅうぶんな, jūbun na)
- Korean: 충분한 (chungbunhan)
- Polish: wystarczający
- Portuguese: suficiente
- Russian: достаточный (dostátočnyj)
- Spanish: suficiente
- Swedish: tillräcklig
- Turkish: yeterli

### Determiner

- the smallest amount needed
- Sufficient of us are against this idea that we should stop now.

# Extensive Definition

- This article discusses only the formal meanings of necessary and sufficient. For the causal meanings see causation.

- A necessary condition of a statement must be satisfied for the statement to be true. Formally, a statement P is a necessary condition of a statement Q if Q implies P. For example, the ability to breathe is necessary to a human's survival. Likewise, for the whole numbers greater than two, being odd is necessary to being prime, since two is the only whole number that is both even and prime.

- A sufficient condition is one that, if satisfied, assures the statement's truth. Formally, a statement P is a sufficient condition of a statement Q if P implies Q. Thus, jumping is sufficient to leave the ground, since an intrinsic element of the concept jumping'' is leaving the ground. A number's being divisible by 2 is sufficient for its being even.

- That a condition is one of necessary and sufficient does not imply the other. For instance, being a mammal is necessary but not sufficient to being human, and that a number q is rational is sufficient but not necessary to q‘s being a real number. A condition can be both necessary and sufficient. For example, at present, "today is the Fourth of July" is a necessary and sufficient condition for "today is Independence Day in the United States." Similarly, a necessary and sufficient condition for invertibility of a matrix M is that M have a nonzero determinant.

## Necessary conditions

### Argument forms involving necessary and sufficient conditions

- Modus ponens
- Modus tollens (both valid)
- Affirming the consequent
- Denying the antecedent (both fallacious)

## External links

- Stanford Encyclopedia of Philosophy: Necessary and Sufficient Conditions
- Critical thinking web tutorial: Necessary and Sufficient Conditions
- Simon Fraser University: Concepts with examples

sufficient in Czech: Nutná a postačující
podmínka

sufficient in German: Notwendige und
hinreichende Bedingung

sufficient in Spanish: Condición necesaria y
suficiente

sufficient in Finnish: Välttämättömyys

sufficient in Hebrew: תנאי שקול

sufficient in Simple English: Necessary

sufficient in Italian: Condizione necessaria e
sufficiente

sufficient in Japanese: 必要十分条件

sufficient in Korean: 필요충분조건

sufficient in Portuguese: Condições necessárias
e suficientes

sufficient in Russian: Необходимое и достаточное
условие

sufficient in Swedish: Nödvändiga och
tillräckliga villkor

sufficient in Chinese: 充分必要条件

# Synonyms, Antonyms and Related Words

OK,
acceptable, adequacy, adequate, admissible, agreeable, all right, ample, authoritative, barely
sufficient, better than nothing, binding, cogent, comfortable, commensurable, commensurate, common, competence, competent, consistent, corresponding, decent, due, enough, equal to, fair, fair to middling, fairish, fit, good, good enough, goodish, just, lawful, legal, legitimate, logical, minimal, minimum, moderate, not amiss, not bad,
not half bad, not so bad, okay, passable, pleasing, plenteous, plentiful, plenty, plenty good enough,
presentable, pretty
good, proportionable, proportionate, respectable, satisfactory, satisfying, self-consistent,
solid, sound, substantial, sufficiency, sufficient for,
sufficing, suitable, tidy, tolerable, unexceptionable,
unexceptional,
unobjectionable,
up to, valid, weighty, well-founded,
well-grounded, workmanlike