Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 2 - The Logic of Compound Statements - Exercise Set 2.3 - Page 62: 23

Answer

Converse Error (The argument is invalid)

Work Step by Step

Let $p$ be the statement that Jules solved this problem correctly Let $q$ be the statement that Jules obtained the answer 2. If Jules solved this problem correctly, then Jules obtained the answer 2 $(p →q)$ Jules obtained the answer 2 $(q)$ ∴ Jules solved this problem correctly $(p)$ So the argument form is that $p →q$ $q$ ∴ $p$ Thus, the converse error has been made here.
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