Negations  Logic
Negations
Lessons
Notes:
The negation of a statement is the opposite of a statement. We denote it with either "not" or the symbol ~. The negation gives the opposite of the truth value. For example,
$p$: A square is a rectangle
~ $p$: A square is not a rectangle
$p$ is true, so ~$p$ is false.

a)
Definition of Negations and Examples


1.
Negation of the Statement
Write the negation of each statement:

2.
Truth Value of a Negation
Write the negation of each statement, and determine the truth value:

4.
Double Negation
Determine the truth value of the statement. Negate it twice, write it in a complete sentence, and determine the new truth value: