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: 23


Use letters to represent each simple statement in the argument. p: We criminalize drugs. q: We damage the future of young people. Express the premises and conclusion symbolically as: \[\frac{\begin{align} & p\vee q \\ & \sim q \\ \end{align}}{\therefore p}\ \ \ \ \ \frac{\begin{align} & \text{We criminalize drugs or we damage the future of young people}\text{.} \\ & \text{We will not damage the future of young people}\text{.} \\ \end{align}}{\therefore \text{We criminalize drugs}\text{.}}\] The argument is in the form of Disjunctive Reasoning. Thus, the argument is valid.
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