Assuming that statements (1) and (2) are true, which conclusion completes the Law of Negative Inference? (1) P Q
(2) ∼ Q
A) Q
B) ∼Q
C) P
D) ∼P

Question

Assuming that statements (1) and (2) are true, which conclusion completes the Law of Negative Inference? (1) P  Q
(2) ∼ Q
A) Q 
B) ∼Q 
C) P 
D) ∼P

Quizplus · Accepted Answer

The Law of Negative Inference states that if P implies Q and Q is false, then P must be false as well. In this case, we have P implies Q (statement 1) and ¬Q (statement 2), so we can conclude that P must be false (¬P), which is answer choice D.

Assuming That Statements (1) and (2) Are True, Which Conclusion