What Is Modus Tollens Rule

In propositional logic, modus tollens (/ˈmoʊdəs ˈtɒlɛnz/) (MT), also known as modus tollendo tollens (Latin for “method of removing by taking away”) and denying the consequent, is a deductive argument form and a rule of inference. Modus tollens takes the form of “If P, then Q. Not Q.

What is modus tollens with examples?

Therefore, B is true.” Modus Tollens: “If A is true, then B is true. B is not true. Therefore, A is not true.“

Why is modus tollens important?

Modus tollens is a Latin term meaning “mode that denies by denying” or denying the consequent and is a valid argument form / rule of inference. … Modus tollens is important in causal inference and frequentist inference (model-based induction) in particular since it describes the logic of hypothesis testing.