Material nonimplication is a logical connective that expresses a relationship between two propositions, usually denoted as \( P \) and \( Q \). It is the negation of material implication (also known as material conditional), which is typically represented as \( P \rightarrow Q \) (meaning "if P, then Q"). In formal logic, material implication \( P \rightarrow Q \) is true in all cases except when \( P \) is true and \( Q \) is false.
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