RULES OF INTERFERENCE

What is the definition of the "Modus Ponens" rule of inference?

• If A is false, then B is false.

• If A is true, then B is true.

• If A implies B, and A is true, then B is true.

• If A implies B, and B is true, then A is true.

Which rule of inference enables us to deduce the
falsehood of a statement from the falsity of its consequent?

• Hypothetical Syllogism

• Modus Tollens

• Disjunctive Syllogism

• Simplification

If we have two conditional statements "if A, then B" and "if B, then C,"
which rule of inference allows us to infer "if A, then C"?

• Modus Ponens

• Disjunctive Syllogism

• Modus Tollens

• Hypothetical Syllogism

Which rule of inference asserts that if we have a disjunction "A or B" and we know one of
the disjuncts (either A or B) is false, then we can infer the truth of the other disjunct?

• Simplification

• Addition

• Conjunction

• Disjunctive Syllogism

If A implies B and B implies C, which rule of inference allows us to deduce that A implies C?

• Modus Tollens

• Hypothetical Syllogism

• Modus Ponens

• Constructive Dilemma

If P implies Q and Q implies R, which rule of inference allows us to conclude that P implies R?

• Modus Tollens

• Hypothetical Syllogism

• Modus Ponens

• Constructive Dilemma

What is the rule of inference that states if we have a conjunction "P and Q" and we know one of the conjuncts (either P or Q) is true, then we can infer the truth of the other conjunct?

• Simplification

• Addition

• Conjunction

• Disjunctive Syllogism