¬ p (negation of p)
The negation of a statement p, represented as ¬p, is a logical operation that gives the opposite truth value of p
The negation of a statement p, represented as ¬p, is a logical operation that gives the opposite truth value of p. In other words, if p is true, then ¬p is false, and if p is false, then ¬p is true.
Let’s look at an example to understand this concept better. Suppose we have the statement “It is raining.” If this statement is true, then its negation “It is not raining” is false. Similarly, if the original statement is false (meaning it is not raining), then its negation becomes true (meaning it is not the case that it is raining).
In terms of symbolic logic, we can also denote the negation of p using other notations, such as ~p or -p. The choice of notation may vary depending on the context or the specific logical system being used, but they all represent the negation of the statement p.
It is important to note that the negation of a statement merely indicates the opposite truth value and does not necessarily provide any additional information about the statement itself.
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