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 191: 20

Answer

Use letters to represent each simple statement in the argument. p: Argument is in the form of the fallacy of the inverse. q:Argument is invalid. Express the premises and conclusion symbolically as: \[\frac{\begin{align} & p\to q \\ & q \\ \end{align}}{\therefore p}\ \ \ \ \ \ \frac{\begin{align} & \text{If an argument is in the form of the fallacy of the inverse, then it is invalid}\text{.} \\ & \text{This argument is invalid}\text{.} \\ \end{align}}{\therefore \text{This argument is in the form of the fallacy of the inverse}\text{.}}\] The argument is in the form of Fallacy of the Converse. So, the argument is invalid.
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