Material implication

Material implication is a logical connective that is false only when P is true and Q is false, and true otherwise. It is used to express conditional statements in propositional logic, such as 'if P then Q'.

P \rightarrow Q

What the symbols mean

the antecedent proposition
the consequent proposition
the material implication connective

About this formula

  • FieldMathematics
  • TopicPropositional logic
  • LevelUniversity
  • Also calledmaterial conditional, logical implication, implication, if-then, material consequence, P implies Q
  • SourceWikidata Q7881229

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