In addition to converses are two other conditional statements derived from a given conditional statement. Using logic symbols, the converse of a conditional statement “$P \rightarrow Q$ is “$Q \rightarrow P$. That is, whatever initially followed “if” should follow “then.” Likewise, whatever followed “then” should follow “if.” Converse Statement DefinitionĪ converse statement is a conditional statement in which the antecedent and consequence are reversed relative to a given conditional statement. Then, simply reverse the antecedent and the consequence. To write a converse statement, first, identify the antecedent and the consequence of the original statement. When a statement and its converse are both true, it is called a “biconditional statement.” How to Write a Converse Statement Likewise, a true statement can have a false converse or a true converse. Indeed, it is possible to have a false statement with a true converse and a false statement with a false converse. Likewise, the truth value of the converse implies nothing about the truth value of the original statement. The truth value of the original statement implies nothing about the truth value of the converse. The antecedent of a conditional statement is the part that follows the word “if.” Similarly, the consequence is the part that follows the word “then.” Truth Value of a Converse Statement Recall that a conditional statement is one that is in the format “if…, then…” They can be true or false. It is only a converse insofar as it references an initial statement.īefore moving on with this section, make sure to review conditional statements.Ī converse statement is a conditional statement in which the antecedent and consequence of a given conditional statement are reversed. Converse Statement – Definition and ExamplesĪ converse statement is a conditional statement with the antecedent and consequence reversed.Ī converse statement will itself be a conditional statement.
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