# Dictionary Definition

suffice v : be sufficient; be adequate, either in
quality or quantity; "A few words would answer"; "This car suits my
purpose well"; "Will $100 do?"; "A 'B' grade doesn't suffice to get
me into medical school"; "Nothing else will serve" [syn: do, answer, serve]

# User Contributed Dictionary

## English

### Pronunciation

- /səˈfaɪs/

### Etymology

From suffisen, from souffire, from sufficio. Cognate with French suffire### Verb

#### Related terms

#### Translations

be enough, sufficient, adequate

- Chinese: 足够, 使满足, 满足需要
- Dutch: genoeg zijn, volstaan, voldoen
- French: suffire
- German: ausreichen
- Portuguese: ser suficiente, atender, satisfazer

satisfy

- Dutch: voldoen (aan)

furnish

- Dutch: voorzien (van)

# 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

suffice in Czech: Nutná a postačující
podmínka

suffice in German: Notwendige und hinreichende
Bedingung

suffice in Spanish: Condición necesaria y
suficiente

suffice in Finnish: Välttämättömyys

suffice in Hebrew: תנאי שקול

suffice in Simple English: Necessary

suffice in Italian: Condizione necessaria e
sufficiente

suffice in Japanese: 必要十分条件

suffice in Korean: 필요충분조건

suffice in Portuguese: Condições necessárias e
suficientes

suffice in Russian: Необходимое и достаточное
условие

suffice in Swedish: Nödvändiga och tillräckliga
villkor

suffice in Chinese: 充分必要条件

# Synonyms, Antonyms and Related Words

advantage, answer, avail, be equal to, be handy, be
of use, be satisfactory, bear, benefit, bestead, do, do it, do the trick, fill the
bill, fulfill, get by,
give good returns, go around, hack it, hold, just do, make the grade,
meet, meet requirements,
pass, pass muster, pay, pay off, profit, qualify, quench, reach, sate, satiate, satisfy, serve, serve the purpose, stand, stand up, stretch, suit, take it, work, yield a
profit