Owen will be happier if, and only if, he either practices the cello or quits music lessons. It is not that case that Owen quits music lessons only if he'll be happier. So, it is not the case that he both never sleeps and doesn't practice.
-Consider assuming 'N • ∼P' for indirect proof of the given argument. Which of the following propositions is a likely last line of the indented sequence?
A) H • ∼H
B) P • ∼P
C) Q • ∼Q
D) All of the above
E) Options B and C, but not option A

Question

Quizplus · Accepted Answer

The Answer of Owen will be happier if, and only if, he either practices the cello or quits music lessons. It is not that case that Owen quits music lessons only if he'll be happier. So, it is not the case that he both never sleeps and doesn't practice.
-Consider assuming 'N • ∼P' for indirect proof of the given argument. Which of the following propositions is a likely last line of the indented sequence?
A) H • ∼H
B) P • ∼P
C) Q • ∼Q
D) All of the above
E) Options B and C, but not option A

Owen Will Be Happier If, and Only If, He Either