Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 1 - Section 1.6 - Rules of Inference - Exercises - Page 78: 8

Answer

P→Q,P⊨Q

Work Step by Step

Let us assume, P="Socrate is a men" q="All men are mortal" Then we can write the given argument by using the Rule of Modus Ponens p→q (premise 1) p (premise 2 of 1) _____ q (Modus Ponen ) Using universal instantiation and Modus Ponen proved that Socrate is a moral . Universal Instantiation (UI): This rule allows you to instantiate a universally quantified statement (an "All" statement) by replacing the variable with a specific instance.
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