## Definitions for if and only if

### Wiktionary(0.00 / 0 votes)Rate this definition:

1. if and only if(Conjunction)

Is equivalent to; implies and is implied by; is true and false in the same cases as.

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1. If and only if

In logic and related fields such as mathematics and philosophy, if and only if is a biconditional logical connective between statements. In that it is biconditional, the connective can be likened to the standard material conditional combined with its reverse; hence the name. The result is that the truth of either one of the connected statements requires the truth of the other, i.e., either both statements are true, or both are false. It is controversial whether the connective thus defined is properly rendered by the English "if and only if", with its pre-existing meaning. Of course, there is nothing to stop us stipulating that we may read this connective as "only if and if", although this may lead to confusion. In writing, phrases commonly used, with debatable propriety, as alternatives to P "if and only if" Q include Q is necessary and sufficient for P, P is equivalent to Q, P precisely if Q, P precisely when Q, P exactly in case Q, and P just in case Q. Many authors regard "iff" as unsuitable in formal writing; others use it freely. In logic formulae, logical symbols are used instead of these phrases; see the discussion of notation.

### Numerology

1. Chaldean Numerology

The numerical value of if and only if in Chaldean Numerology is: 8

2. Pythagorean Numerology

The numerical value of if and only if in Pythagorean Numerology is: 7

# Translations for if and only if

### From our Multilingual Translation Dictionary

• यदि और केवल यदि

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"if and only if." Definitions.net. STANDS4 LLC, 2017. Web. 16 Dec. 2017. <http://www.definitions.net/definition/if and only if>.