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- Universal_instantiation abstract "In predicate logic universal instantiation (UI, also called universal specification, and sometimes confused with Dictum de omni) is a valid rule of inference from a truth about each member of a class of individuals to the truth about a particular individual of that class. It is generally given as a quantification rule for the universal quantifier but it can also be encoded in an axiom. It is one of the basic principles used in quantification theory.Example: "All dogs are mammals. Fido is a dog. Therefore Fido is a mammal."In symbols the rule as an axiom schema is for some term a and where is the result of substituting a for all occurrences of x in A.And as a rule of inference it isfrom ⊢ ∀x A infer ⊢ A(a/x),with A(a/x) the same as above.Irving Copi noted that universal instantiation "...follows from variants of rules for 'natural deduction', which were devised independently by Gerhard Gentzen and Stanislaw Jaskowski in 1934."".
- Universal_instantiation wikiPageID "1564194".
- Universal_instantiation wikiPageRevisionID "590038426".
- Universal_instantiation hasPhotoCollection Universal_instantiation.
- Universal_instantiation subject Category:Predicate_logic.
- Universal_instantiation subject Category:Rules_of_inference.
- Universal_instantiation type Abstraction100002137.
- Universal_instantiation type Cognition100023271.
- Universal_instantiation type Concept105835747.
- Universal_instantiation type Content105809192.
- Universal_instantiation type Idea105833840.
- Universal_instantiation type PsychologicalFeature100023100.
- Universal_instantiation type Rule105846054.
- Universal_instantiation type RulesOfInference.
- Universal_instantiation comment "In predicate logic universal instantiation (UI, also called universal specification, and sometimes confused with Dictum de omni) is a valid rule of inference from a truth about each member of a class of individuals to the truth about a particular individual of that class. It is generally given as a quantification rule for the universal quantifier but it can also be encoded in an axiom. It is one of the basic principles used in quantification theory.Example: "All dogs are mammals. Fido is a dog.".
- Universal_instantiation label "Instanciation universelle".
- Universal_instantiation label "Universal instantiation".
- Universal_instantiation label "Universele instantiatie".
- Universal_instantiation label "全称实例化".
- Universal_instantiation label "普遍例化".
- Universal_instantiation sameAs Instanciation_universelle.
- Universal_instantiation sameAs 普遍例化.
- Universal_instantiation sameAs Universele_instantiatie.
- Universal_instantiation sameAs m.05bryr.
- Universal_instantiation sameAs Q784645.
- Universal_instantiation sameAs Q784645.
- Universal_instantiation sameAs Universal_instantiation.
- Universal_instantiation wasDerivedFrom Universal_instantiation?oldid=590038426.
- Universal_instantiation isPrimaryTopicOf Universal_instantiation.