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- If_and_only_if abstract "In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements.In that it is biconditional, the connective can be likened to the standard material conditional ("only if", equal to "if ... then") combined with its reverse ("if"); 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. There is nothing to stop one from 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 (or materially equivalent) to Q (compare material implication), P precisely if Q, P precisely (or exactly) 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.[citation needed]In logic formulae, logical symbols are used instead of these phrases; see the discussion of notation.".
- If_and_only_if wikiPageExternalLink just-in-case.
- If_and_only_if wikiPageExternalLink 003470.html.
- If_and_only_if wikiPageID "14922".
- If_and_only_if wikiPageRevisionID "606438966".
- If_and_only_if hasPhotoCollection If_and_only_if.
- If_and_only_if subject Category:Logical_connectives.
- If_and_only_if subject Category:Mathematical_terminology.
- If_and_only_if subject Category:Necessity_and_sufficiency.
- If_and_only_if comment "In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements.In that it is biconditional, the connective can be likened to the standard material conditional ("only if", equal to "if ... then") combined with its reverse ("if"); 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.".
- If_and_only_if label "Bicondicional".
- If_and_only_if label "Dan en slechts dan als".
- If_and_only_if label "If and only if".
- If_and_only_if label "Równoważność".
- If_and_only_if label "Se e solo se".
- If_and_only_if label "Se e somente se".
- If_and_only_if label "Тогда и только тогда".
- If_and_only_if label "إذا وفقط إذا".
- If_and_only_if label "同値".
- If_and_only_if label "当且仅当".
- If_and_only_if sameAs Αν_και_μόνο_αν.
- If_and_only_if sameAs Bicondicional.
- If_and_only_if sameAs Se_e_solo_se.
- If_and_only_if sameAs 同値.
- If_and_only_if sameAs Dan_en_slechts_dan_als.
- If_and_only_if sameAs Równoważność.
- If_and_only_if sameAs Se_e_somente_se.
- If_and_only_if sameAs m.03vn7.
- If_and_only_if sameAs Q949972.
- If_and_only_if sameAs Q949972.
- If_and_only_if wasDerivedFrom If_and_only_if?oldid=606438966.
- If_and_only_if isPrimaryTopicOf If_and_only_if.