Thinking Mathematically (6th Edition)

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

Chapter 3 - Logic - 3.4 Truth Tables for the Conditional and the Biconditional - Exercise Set 3.4 - Page 161: 93

Answer

A compound statement that is always true is called a tautology. A compound statement that is always false is called a self-contradiction. Example: For example, consider the truth table for \[\left( p\wedge q \right)\to \left( p\vee q \right)\] as shown below: The last column of the truth table is always true, hence the statement \[\left( p\wedge q \right)\to \left( p\vee q \right)\] is a tautology.
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