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: 30

Answer

The argument is invalid by the converse error

Work Step by Step

p: This computer program is correct q: It produces the correct output when run with the given test data If this computer program is correct, then it produces the correct output when run with the test data my teacher gave me. (p → q) This computer program produces the correct output when run with the test data my teacher gave me. (q) ∴ This computer program is correct. (p) The argument flow is like: p → q q ∴ p which follows the faulty reasoning known as the converse error.
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