Chapter 1, Problem 1RQ

a) Define the negation of a proposition.

b) What is the negation of "This is a boring course"?

To determine

(i)

The definition of the negation of the proposition

Answer to Problem 1RQ

In mathematical logic, negation, is an operation that negates the given proposition. It is a unary logical connective.

Explanation of Solution

If P is a statement, the negation of P is the statement not P.

It is denoted by ~P

1- If P is true then ~P is false

2- If P is false then ~P is true

Conclusion:

The negation of proposition is the action or logical operation of negating or making negative.

To determine

(ii)

Negation of the statement “This is a boring course”

Answer to Problem 1RQ

This is not a boring course.

Explanation of Solution

Given:

The statement “This is a boring course”

Concept used:

Let’s P : This is a boring course

Then, ~P : This is not a boring course

Conclusion:

Negation of the statement “This is a boring course” is “This is not a boring course”