Theorems in propositional logic | Rules of inference | Classical logic
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. Therefore, not P." It is an application of the general truth that if a statement is true, then so is its contrapositive. The form shows that inference from P implies Q to the negation of Q implies the negation of P is a valid argument. The history of the inference rule modus tollens goes back to antiquity. The first to explicitly describe the argument form modus tollens was Theophrastus. Modus tollens is closely related to modus ponens. There are two similar, but invalid, forms of argument: affirming the consequent and denying the antecedent. See also contraposition and proof by contrapositive. (Wikipedia).
Relationships Between Moduli & Arguments in Products of Complex Numbers
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From playlist UC San Diego: PHIL 10 - Introduction to Logic | CosmoLearning.org Philosophy
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8b. Ch. 3, Section 3.4. Introduction to Logic, Philosophy 10, UC San Diego - BSLIF
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From playlist UC San Diego: PHIL 10 - Introduction to Logic | CosmoLearning.org Philosophy
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From playlist Logic in Philosophy and Mathematics