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Show that the argument form with premises and conclusion
Chapter 7, Problem 11E(choose chapter or problem)
QUESTION:
Show that the argument form with premises and conclusion is valid if the argument form with premises and conclusion r is valid.
Questions & Answers
QUESTION:
Show that the argument form with premises and conclusion is valid if the argument form with premises and conclusion r is valid.
ANSWER:SolutionStep 1It is given that the premises are p1 , p2 ,p3 ,.............pn and conclusion q r. So, the conclusion q r is false only when q is true and r is false.So, apply the rule of inference of conjunctions because at least one of the premises must be true.( p1 p2 p3 ............ pn) Now, ( p1 p2 p3 ............ pn) (q r)Here, the condition is only false when premises are false