Law of Syllogism

GPTKB entity

Statements (21)
Predicate Object
gptkbp:instanceOf logical principle
gptkbp:alsoKnownAs hypothetical syllogism
gptkbp:appearsIn gptkb:logic
gptkb:classical_logic
gptkbp:appliesTo conditional statements
gptkbp:basisFor mathematical proofs
logical arguments
gptkbp:category deductive reasoning
gptkbp:compatibleWith fallacy
gptkbp:describes inference rule
gptkbp:firstDescribed gptkb:Aristotle
gptkbp:form If A → B and B → C, then A → C
https://www.w3.org/2000/01/rdf-schema#label Law of Syllogism
gptkbp:relatedTo gptkb:modus_ponens
transitive property
gptkbp:symbol (p → q) ∧ (q → r) ⇒ (p → r)
gptkbp:usedIn gptkb:logic
gptkb:mathematics
gptkb:philosophy
gptkbp:bfsParent gptkb:Law_of_Detachment
gptkbp:bfsLayer 7