Thinking Mathematically (6th Edition)

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

Chapter 3 - Logic - 3.8 Arguments and Euler Diagrams - Exercise Set 3.8 - Page 204: 43


The statement makes sense.

Work Step by Step

Euler diagrams are used to determine whether an argument is invalid or not with the help of circles. The circles are used to indicate the relationships of premises to conclusions. Euler diagrams for the premises are made and the argument is valid if and only if every possible diagram illustrates the conclusion of the diagram. If there is even one possible diagram that contradicts the conclusion, this indicates that the conclusion is not true in every case and the argument is invalid.
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