Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 3 - Logic - Chapter 3 Test: 24

Answer

argument is invalid

Work Step by Step

RECALL: (1) Modus Ponens states that: $p \longrightarrow q$ $p$ __________________ $\therefore q$ (2) Modus tollens states that: $p \longrightarrow q$ $\neg q$ __________________ $\therefore \neg p$ The given statement does not use modus ponens nor modus tollens. Thus, the argument is invalid. There will be no logical conclusion about $p$ for the conditional $p \longrightarrow q$ when $q$ is known to be true.
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