disjunctive syllogism

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf logical argument form
rule of inference
gptkbp:alsoKnownAs gptkb:modus_tollendo_ponens
gptkbp:contrastsWith affirming the disjunct
constructive dilemma
gptkbp:example Either it is raining or it is snowing. It is not raining. Therefore, it is snowing.
https://www.w3.org/2000/01/rdf-schema#label disjunctive syllogism
gptkbp:involves disjunction
negation
gptkbp:plotSummary one disjunct is true if the other is false
gptkbp:relatedTo gptkb:modus_ponens
modus tollens
gptkbp:symbol (A ∨ B), ¬A ⊢ B
(A ∨ B), ¬B ⊢ A
gptkbp:usedIn gptkb:logic
gptkbp:validOn gptkb:classical_logic
intuitionistic logic
gptkbp:bfsParent gptkb:classical_logic
gptkbp:bfsLayer 6