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letamp;#39;s state it and negate it to master the art of logical argument itamp;#39;s not enough to be able to state a definition or a theorem affirmative Li we also need to know how to state them negatively and this can be tricky when the statements are quantified letamp;#39;s start with a logical implication an if-then statement like if x squared is equal to 2 then X is not a rational number we can form related statements by reversing the truth value of its pieces by reversing the order of its pieces or by reversing both and just like when double negatives make a positive each of the single reversals known respectively as the inverse and the converse is not equivalent to the original statement but the double reversal the contrapositive is equivalent to the original quantifiers can make things more powerful but also more tricky when 60s folk group of the birds sang to everything there is a season they were using two logical quantifiers the universal for all followed by the existent