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Let = "Claghorn has wide support", = "Claghorn will be asked to run for the senate", = "Claghorn yells “Eureka” in Iowa". Then the premises are and conclusion .
Using to the premises and the rule of inference Modus Ponens, we conclude . Then using to and the rule of inference Modus Tollens, we have the conclusion . Therefore, the conclusion follows logically from the premises.