if and only if(Conjunction)
Is equivalent to; implies and is implied by; is true and false in the same cases as.
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.
The numerical value of if and only if in Chaldean Numerology is: 8
The numerical value of if and only if in Pythagorean Numerology is: 7
Images & Illustrations of if and only if
Translations for if and only if
From our Multilingual Translation Dictionary
- यदि और केवल यदिHindi
Get even more translations for if and only if »
Find a translation for the if and only if definition in other languages:
Select another language:
Discuss these if and only if definitions with the community:
Word of the Day
Would you like us to send you a FREE new word definition delivered to your inbox daily?
Use the citation below to add this definition to your bibliography:
"if and only if." Definitions.net. STANDS4 LLC, 2017. Web. 16 Dec. 2017. <http://www.definitions.net/definition/if and only if>.