Discrete Mathematics with Applications 4th Edition

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

Chapter 3 - The Logic of Quantified Statements - Exercise Set 3.4 - Page 143: 22

Answer

Invalid. The major and minor premises are diagrammed. Composing the premises together results in 5 possible cases. Only two of the cases (a, e) result in the conclusion being true. All the other cases result in the conclusion being false.

Work Step by Step

Because the conclusion does not necessarily follow from the premises, the argument is invalid.
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