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 194: 77

Answer

The original argument in words for the direct reasoning form is if I know English then I can go abroad.

Work Step by Step

Let p and q represent two simple statements. p : I know English. q : I can go abroad. Therefore, It is a conditional statement going abroad dependent on a condition when I know English. Direct reasoning form contains “if p then q”. Its direct reasoning form is: \[\begin{align} & \underline{\begin{align} & p\to q \\ & p \\ \end{align}} \\ & \therefore q \\ \end{align}\] Therefore, the original argument in words for the direct reasoning form is if I know English then I can go abroad. Hence, the assumed arguments in the direct reasoning form is: “if I know English then I can go abroad”.
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