Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 3 - Logic - 3.7 Arguments and Truth Tables - Exercise Set 3.7 - Page 191: 24

Answer

Use letters to represent each simple statement in the argument. p: He is intelligent. q: He is an overachiever. Express the premises and conclusion symbolically as: \[\frac{\begin{align} & p\vee q \\ & \tilde{\ }p \\ \end{align}}{\therefore q}\ \ \ \ \ \frac{\begin{align} & \text{He is intelligent or an overachiever}\text{.} \\ & \text{He is not intelligent}\text{.} \\ \end{align}}{\therefore \text{He is an overachiever}\text{.}}\] The argument is in the form of Disjunctive Reasoning. Thus, the argument is valid.
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