If a valid deductive argument has a true conclusion,then it must have all true premises.

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A deductively valid argument may have a true conclusion despite having a false premise. For example, the following valid argument has both a false premise and a true conclusion: "All dogs are smelly. The dog that fell in the sewer is a dog. Therefore, the dog that fell in the sewer is smelly." The interesting characteristic (and defining) characteristic of valid arguments is that the truth of the premises guarantees the truth of the conclusion, not vice versa.

If a Valid Deductive Argument Has a True Conclusion,then It