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 - Concept and Vocabulary Check - Page 190: 3

Answer

The argument \[\frac{\begin{align} & p\to q \\ & \sim q \\ \end{align}}{\therefore \ \ \ \underline{\sim p}}\] Is called direct reasoning and is valid because\[\left[ \left( p\to q \right)\wedge \sim q \right]\to \sim p\] is a tautology
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