Question

Denial of a statement is

A) Negation
B) Converse
C) Inverse
D) Truth value

Answer 1

Hint: Using the general concept of a mathematical statement, that denial means not agreeing to the statement and hence not agreeing to leads to the negative of the statement which will lead to the negation of the statement. Which can also be denoted as$${}^{\prime }{\sim }^{\prime }$$.

Complete step by step solution: As we have to go with the denial of the statement.

People deny a statement when they find the statement utterly false or when they find the statement true but do not want to approve it.

Denial is defined as refusing to accept or believe something, or a statement to contradict someone or something else.

An example of denial is the rejection of the existence of God.

An example of denial is the statement that you don't agree with what has been said about your actions.

In short, denial means not agreeing to the statement and hence not agreeing to leads to the negative of the statement which will lead to the negation of the statement.

Thus, as per the given option (A) is the correct answer.

Note: Truth Value: the property of a statement of being either true or false. All statements (by definition of "statements") have truth value; we are often interested in determining truth value, in other words in determining whether a statement is true or false.

The inverse of a conditional statement is when both the hypothesis and conclusion are negated; the “If” part or p is negated and the “then” part or q is negated.

In logic and mathematics, the converse of a categorical or implicational statement is the result of reversing its two constituent statements.