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The definition of implication

3 Definitions of: implication

    1. noun, the act of implicating or the state of being implicated
    2. noun, something that is implied; suggestion
    3. noun, logic a) the operator that forms a sentence from two given sentences and corresponds to the English ifthen … 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
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    5. Show me the etymology of the word: implication

From Collins