   # Use a truth table to determine whether the given statement is a self-contradiction. ∼ ( p ∨ ∼ p ) ### Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584

#### Solutions

Chapter
Section ### Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584
Chapter 3.2, Problem 50ES
Textbook Problem
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## Use a truth table to determine whether the given statement is a self-contradiction. ∼ ( p ∨ ∼ p )

To determine

To determine whether the given statement is a self-contradiction.

### Explanation of Solution

Given information:

Given statement is ~(p ~p)

Calculation:

The standard truth table for one statements is given by,

 p T F

Then the negations are calculated,

 p ~p T F F T

Now the statement p ~p is calculated. The statements contain 'or', so the statement will be false when both the statements are false. Else the statement will always be true.

 p ~p p ∨

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