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 190: 18

Answer

Use letters to represent each simple statement in the argument. p: You eat well. q: You are healthy. Express the premises and conclusion symbolically as: \[\frac{\begin{align} & p\vee \sim q \\ & p \\ \end{align}}{\therefore q}\ \ \ \ \ \ \frac{\begin{align} & \text{You must eat well or you will not be healthy}\text{.} \\ & \text{I eat well}\text{.} \\ \end{align}}{\therefore \ \text{I am healthy}\text{.}}\] The argument is in the form of Misuse of Disjunctive Reasoning. So, the argument is invalid.
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