implication

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implication

Logic
a. the operator that forms a sentence from two given sentences and corresponds to the English if … then …
b. a sentence so formed. Usually written p→q or p⊃q, where p,q are the component sentences, it is true except when p (the antecedent) is true and q (the consequent) is false
c. the relation between such sentences

implication

[‚im·plə′kā·shən]
(mathematics)
The logical relation between two statements p and q, usually expressed as “if p then q.“
A logic operator having the characteristic that if p and q are statements, the implication of p and q is false if p is true and q is false, and is true otherwise. Also known as conditional implication; if-then operation; material implication.