## Contrapositive

### If not q, then not p.

The contrapositive is a type of logical statement that is formed by negating both the hypothesis and the conclusion of a conditional statement, and then switching the negations of the two parts. For example, if the original statement is If it rains, then the ground is wet, the contrapositive would be If the ground is not wet, then it did not rain.

The contrapositive is logically equivalent to the original conditional statement. This means that if the original statement is true, then the contrapositive must also be true.

The contrapositive can be useful in logical reasoning and proof-writing, as it often makes it easier to identify equivalent statements and to prove or disprove a conditional statement.

##### More Answers:

Building Strong Arguments: The Importance Of Chains Of Reason In Academic Writing And DebatesReversible Processes In Thermodynamics: An Overview

Conditional Statements: The Relationship Between Antecedents And Consequents.

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