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- Rule_of_inference abstract "In logic, a rule of inference, inference rule, or transformation rule is a logical form consisting of a function which takes premises, analyzes their syntax, and returns a conclusion (or conclusions). For example, the rule of inference called modus ponens takes two premises, one in the form "If p then q" and another in the form "p", and returns the conclusion "q". The rule is valid with respect to the semantics of classical logic (as well as the semantics of many other non-classical logics), in the sense that if the premises are true (under an interpretation), then so is the conclusion.Typically, a rule of inference preserves truth, a semantic property. In many-valued logic, it preserves a general designation. But a rule of inference's action is purely syntactic, and does not need to preserve any semantic property: any function from sets of formulae to formulae counts as a rule of inference. Usually only rules that are recursive are important; i.e. rules such that there is an effective procedure for determining whether any given formula is the conclusion of a given set of formulae according to the rule. An example of a rule that is not effective in this sense is the infinitary ω-rule.Popular rules of inference in propositional logic include modus ponens, modus tollens, and contraposition. First-order predicate logic uses rules of inference to deal with logical quantifiers.".
- Rule_of_inference wikiPageID "252311".
- Rule_of_inference wikiPageRevisionID "597223356".
- Rule_of_inference hasPhotoCollection Rule_of_inference.
- Rule_of_inference subject Category:Formal_systems.
- Rule_of_inference subject Category:Inference.
- Rule_of_inference subject Category:Logical_expressions.
- Rule_of_inference subject Category:Logical_truth.
- Rule_of_inference subject Category:Propositional_calculus.
- Rule_of_inference subject Category:Rules_of_inference.
- Rule_of_inference subject Category:Syntax_(logic).
- Rule_of_inference type Abstraction100002137.
- Rule_of_inference type Appearance104673965.
- Rule_of_inference type Attribute100024264.
- Rule_of_inference type Cognition100023271.
- Rule_of_inference type Concept105835747.
- Rule_of_inference type Content105809192.
- Rule_of_inference type Countenance104679549.
- Rule_of_inference type Expression104679738.
- Rule_of_inference type Idea105833840.
- Rule_of_inference type LogicalExpressions.
- Rule_of_inference type PsychologicalFeature100023100.
- Rule_of_inference type Quality104723816.
- Rule_of_inference type Rule105846054.
- Rule_of_inference type RulesOfInference.
- Rule_of_inference comment "In logic, a rule of inference, inference rule, or transformation rule is a logical form consisting of a function which takes premises, analyzes their syntax, and returns a conclusion (or conclusions). For example, the rule of inference called modus ponens takes two premises, one in the form "If p then q" and another in the form "p", and returns the conclusion "q".".
- Rule_of_inference label "Afleidingsregel".
- Rule_of_inference label "Regla de inferencia".
- Rule_of_inference label "Regola di inferenza".
- Rule_of_inference label "Reguła dedukcyjna".
- Rule_of_inference label "Rule of inference".
- Rule_of_inference label "Règle d'inférence".
- Rule_of_inference label "Schlussregel".
- Rule_of_inference label "推理规则".
- Rule_of_inference label "推論規則".
- Rule_of_inference sameAs Schlussregel.
- Rule_of_inference sameAs Συμπερασματικός_κανόνας.
- Rule_of_inference sameAs Regla_de_inferencia.
- Rule_of_inference sameAs Règle_d'inférence.
- Rule_of_inference sameAs Regola_di_inferenza.
- Rule_of_inference sameAs 推論規則.
- Rule_of_inference sameAs 추론_규칙.
- Rule_of_inference sameAs Afleidingsregel.
- Rule_of_inference sameAs Reguła_dedukcyjna.
- Rule_of_inference sameAs m.01lfkh.
- Rule_of_inference sameAs Q1068763.
- Rule_of_inference sameAs Q1068763.
- Rule_of_inference sameAs Rule_of_inference.
- Rule_of_inference wasDerivedFrom Rule_of_inference?oldid=597223356.
- Rule_of_inference isPrimaryTopicOf Rule_of_inference.