Thinking Mathematically (6th Edition)

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

Chapter 3 - Logic - Chapter 3 Test - Page 209: 26

Answer

An argument consists of two parts which are called the premises and a conclusion. An argument is called valid argument if conclusion is true whenever the premises are assumed to be true. Consider the simple statements in the argument with a letter: \[p\]: I am going. \[q\]: You are going. Express the premises and the conclusion symbolically as I am going if and only if you are not: \[p\leftrightarrow \tilde{\ }q\] \[\frac{\text{ You are going}\text{.}}{\therefore \text{Im going}\text{.}}\]: \[\frac{q}{\therefore p}\] Write a symbolic statement of the form: \[\left[ \left( \text{premise}\ \text{1} \right)\wedge \left( \text{premise}\ \text{2} \right) \right]\to \text{conclusion}\] The symbolic statement is \[\left( p\leftrightarrow q \right)\wedge \left( q \right)\to p\]

Work Step by Step

.The argument is not valid.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.