Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/If_and_only_if> ?p ?o }
- 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.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 wikiPageLength "9221".
- If_and_only_if wikiPageOutDegree "39".
- If_and_only_if wikiPageRevisionID "675920363".
- If_and_only_if wikiPageWikiLink Biconditional.
- If_and_only_if wikiPageWikiLink Category:Logical_connectives.
- If_and_only_if wikiPageWikiLink Category:Mathematical_terminology.
- If_and_only_if wikiPageWikiLink Category:Necessity_and_sufficiency.
- If_and_only_if wikiPageWikiLink Covariance.
- If_and_only_if wikiPageWikiLink Disjunction.
- If_and_only_if wikiPageWikiLink Domain_of_discourse.
- If_and_only_if wikiPageWikiLink Exclusive_nor.
- If_and_only_if wikiPageWikiLink First-order_logic.
- If_and_only_if wikiPageWikiLink Formal_system.
- If_and_only_if wikiPageWikiLink Formula_(mathematical_logic).
- If_and_only_if wikiPageWikiLink Jan_Łukasiewicz.
- If_and_only_if wikiPageWikiLink John_L._Kelley.
- If_and_only_if wikiPageWikiLink List_of_mathematical_jargon.
- If_and_only_if wikiPageWikiLink Logic.
- If_and_only_if wikiPageWikiLink Logical_biconditional.
- If_and_only_if wikiPageWikiLink Logical_connective.
- If_and_only_if wikiPageWikiLink Logical_disjunction.
- If_and_only_if wikiPageWikiLink Logical_equality.
- If_and_only_if wikiPageWikiLink Logical_system.
- If_and_only_if wikiPageWikiLink Material_conditional.
- If_and_only_if wikiPageWikiLink Mathematical_jargon.
- If_and_only_if wikiPageWikiLink Mathematical_logic.
- If_and_only_if wikiPageWikiLink Mathematics.
- If_and_only_if wikiPageWikiLink Metalogic.
- If_and_only_if wikiPageWikiLink Necessary_and_sufficient_condition.
- If_and_only_if wikiPageWikiLink Necessary_and_sufficient_conditions.
- If_and_only_if wikiPageWikiLink Necessity_and_sufficiency.
- If_and_only_if wikiPageWikiLink Paul_Halmos.
- If_and_only_if wikiPageWikiLink Philosophy.
- If_and_only_if wikiPageWikiLink Polysyllogism.
- If_and_only_if wikiPageWikiLink Proof_theory.
- If_and_only_if wikiPageWikiLink Propositional_calculus.
- If_and_only_if wikiPageWikiLink Propositional_logic.
- If_and_only_if wikiPageWikiLink Triple_bar.
- If_and_only_if wikiPageWikiLink Truth-function.
- If_and_only_if wikiPageWikiLink Truth_function.
- If_and_only_if wikiPageWikiLink Truth_table.
- If_and_only_if wikiPageWikiLink Well-formed_formula.
- If_and_only_if wikiPageWikiLink XNOR_gate.
- If_and_only_if wikiPageWikiLink XOR_gate.
- If_and_only_if wikiPageWikiLinkText "".
- If_and_only_if wikiPageWikiLinkText ""if, and only if".
- If_and_only_if wikiPageWikiLinkText "IFF".
- If_and_only_if wikiPageWikiLinkText "If and only if".
- If_and_only_if wikiPageWikiLinkText "biconditional or "if-and-only-if"".
- If_and_only_if wikiPageWikiLinkText "if and only if".
- If_and_only_if wikiPageWikiLinkText "if and only if#More general usage".
- If_and_only_if wikiPageWikiLinkText "if".
- If_and_only_if wikiPageWikiLinkText "if, and only if".
- If_and_only_if wikiPageWikiLinkText "iff".
- If_and_only_if wikiPageWikiLinkText "just in case".
- If_and_only_if wikiPageWikiLinkText "material equivalence".
- If_and_only_if wikiPageWikiLinkText "precisely when".
- If_and_only_if wikiPageWikiLinkText "universal equivalency".
- If_and_only_if hasPhotoCollection If_and_only_if.
- If_and_only_if wikiPageUsesTemplate Template:Portal.
- If_and_only_if wikiPageUsesTemplate Template:Quote_box.
- If_and_only_if wikiPageUsesTemplate Template:Redirect.
- If_and_only_if wikiPageUsesTemplate Template:Redirect-distinguish.
- If_and_only_if wikiPageUsesTemplate Template:Refimprove.
- If_and_only_if wikiPageUsesTemplate Template:Reflist.
- If_and_only_if wikiPageUsesTemplate Template:Transformation_rules.
- If_and_only_if wikiPageUsesTemplate Template:Unreferenced_section.
- If_and_only_if wikiPageUsesTemplate Template:Use_dmy_dates.
- 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 hypernym Biconditional.
- If_and_only_if type Article.
- If_and_only_if type Article.
- If_and_only_if type Thing.
- 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 "If and only if".
- If_and_only_if differentFrom Bidirectional_traffic.
- If_and_only_if sameAs إذا_وفقط_إذا.
- If_and_only_if sameAs Тогава_и_само_тогава,_когато.
- If_and_only_if sameAs Si_i_només_si.
- If_and_only_if sameAs Biimplikation.
- If_and_only_if sameAs Αν_και_μόνο_αν.
- If_and_only_if sameAs Se_kaj_nur_se.
- If_and_only_if sameAs Bicondicional.
- If_and_only_if sameAs Parajasti_siis,_kui.
- If_and_only_if sameAs اگر_و_تنها_اگر.
- If_and_only_if sameAs Jos_ja_vain_jos.
- If_and_only_if sameAs אם_ורק_אם.
- If_and_only_if sameAs यदि_और_केवल_यदि.
- If_and_only_if sameAs Akko.
- If_and_only_if sameAs Bikondicionális.
- If_and_only_if sameAs Jika_dan_hanya_jika.
- If_and_only_if sameAs Eff.
- If_and_only_if sameAs Se_e_solo_se.
- If_and_only_if sameAs 同値.