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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 wikiPageLength "11696".
- Rule_of_inference wikiPageOutDegree "62".
- Rule_of_inference wikiPageRevisionID "683500754".
- Rule_of_inference wikiPageWikiLink Axiom.
- Rule_of_inference wikiPageWikiLink Axiom_schema.
- Rule_of_inference wikiPageWikiLink Category:Formal_systems.
- Rule_of_inference wikiPageWikiLink Category:Inference.
- Rule_of_inference wikiPageWikiLink Category:Logical_expressions.
- Rule_of_inference wikiPageWikiLink Category:Logical_truth.
- Rule_of_inference wikiPageWikiLink Category:Propositional_calculus.
- Rule_of_inference wikiPageWikiLink Category:Rules_of_inference.
- Rule_of_inference wikiPageWikiLink Category:Syntax_(logic).
- Rule_of_inference wikiPageWikiLink Classical_logic.
- Rule_of_inference wikiPageWikiLink Contraposition.
- Rule_of_inference wikiPageWikiLink Cut-elimination_theorem.
- Rule_of_inference wikiPageWikiLink Cut_elimination.
- Rule_of_inference wikiPageWikiLink Deduction_theorem.
- Rule_of_inference wikiPageWikiLink Deductive_reasoning.
- Rule_of_inference wikiPageWikiLink Effective_method.
- Rule_of_inference wikiPageWikiLink Effective_procedure.
- Rule_of_inference wikiPageWikiLink Formal_logic.
- Rule_of_inference wikiPageWikiLink Formal_system.
- Rule_of_inference wikiPageWikiLink Hilbert_system.
- Rule_of_inference wikiPageWikiLink Immediate_inference.
- Rule_of_inference wikiPageWikiLink Inference_objection.
- Rule_of_inference wikiPageWikiLink Infinite_set.
- Rule_of_inference wikiPageWikiLink Law_of_thought.
- Rule_of_inference wikiPageWikiLink Lewis_Carroll.
- Rule_of_inference wikiPageWikiLink List_of_rules_of_inference.
- Rule_of_inference wikiPageWikiLink Logic.
- Rule_of_inference wikiPageWikiLink Logical_connective.
- Rule_of_inference wikiPageWikiLink Logical_consequence.
- Rule_of_inference wikiPageWikiLink Logical_form.
- Rule_of_inference wikiPageWikiLink Logical_quantifier.
- Rule_of_inference wikiPageWikiLink Logical_truth.
- Rule_of_inference wikiPageWikiLink Many-valued_logic.
- Rule_of_inference wikiPageWikiLink Mathematical_induction.
- Rule_of_inference wikiPageWikiLink Metavariable.
- Rule_of_inference wikiPageWikiLink Modus_ponens.
- Rule_of_inference wikiPageWikiLink Modus_tollens.
- Rule_of_inference wikiPageWikiLink Multiple-conclusion_logic.
- Rule_of_inference wikiPageWikiLink Natural_deduction.
- Rule_of_inference wikiPageWikiLink Natural_number.
- Rule_of_inference wikiPageWikiLink Non-classical_logic.
- Rule_of_inference wikiPageWikiLink Peano_arithmetic.
- Rule_of_inference wikiPageWikiLink Peano_axioms.
- Rule_of_inference wikiPageWikiLink Predicate_logic.
- Rule_of_inference wikiPageWikiLink Proof_theory.
- Rule_of_inference wikiPageWikiLink Proposition.
- Rule_of_inference wikiPageWikiLink Propositional_calculus.
- Rule_of_inference wikiPageWikiLink Propositional_logic.
- Rule_of_inference wikiPageWikiLink Quantifier_(logic).
- Rule_of_inference wikiPageWikiLink Recursion.
- Rule_of_inference wikiPageWikiLink Schema_(logic).
- Rule_of_inference wikiPageWikiLink Sequent_calculus.
- Rule_of_inference wikiPageWikiLink Structural_rule.
- Rule_of_inference wikiPageWikiLink Syntax_(logic).
- Rule_of_inference wikiPageWikiLink Theorem.
- Rule_of_inference wikiPageWikiLink Three-valued_logic.
- Rule_of_inference wikiPageWikiLink Turnstile_(symbol).
- Rule_of_inference wikiPageWikiLink What_the_Tortoise_Said_to_Achilles.
- Rule_of_inference wikiPageWikiLink Ω-consistent_theory.
- Rule_of_inference wikiPageWikiLink Ω-rule.
- Rule_of_inference wikiPageWikiLinkText "Rule of inference".
- Rule_of_inference wikiPageWikiLinkText "Rule_of_inference".
- Rule_of_inference wikiPageWikiLinkText "Rules of inference".
- Rule_of_inference wikiPageWikiLinkText "inference rule".
- Rule_of_inference wikiPageWikiLinkText "inference rules".
- Rule_of_inference wikiPageWikiLinkText "inference step".
- Rule_of_inference wikiPageWikiLinkText "infers".
- Rule_of_inference wikiPageWikiLinkText "laws of valid inference".
- Rule_of_inference wikiPageWikiLinkText "logical inference".
- Rule_of_inference wikiPageWikiLinkText "manipulation rules".
- Rule_of_inference wikiPageWikiLinkText "principle".
- Rule_of_inference wikiPageWikiLinkText "rule form".
- Rule_of_inference wikiPageWikiLinkText "rule of inference".
- Rule_of_inference wikiPageWikiLinkText "rule".
- Rule_of_inference wikiPageWikiLinkText "rules of inference".
- Rule_of_inference wikiPageWikiLinkText "rules of transformation".
- Rule_of_inference wikiPageWikiLinkText "rules".
- Rule_of_inference wikiPageWikiLinkText "transformation rule".
- Rule_of_inference wikiPageWikiLinkText "transformation rules".
- Rule_of_inference hasPhotoCollection Rule_of_inference.
- Rule_of_inference wikiPageUsesTemplate Template:Main.
- Rule_of_inference wikiPageUsesTemplate Template:Mathematical_logic.
- Rule_of_inference wikiPageUsesTemplate Template:Original_research.
- Rule_of_inference wikiPageUsesTemplate Template:Reflist.
- Rule_of_inference wikiPageUsesTemplate Template:Transformation_rules.
- 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 hypernym Form.
- Rule_of_inference type Article.
- Rule_of_inference type Article.