It is not the case that if aesthetic values are objective, then we must treat them as such. So, aesthetic values are objective just in case it is not the case that we must treat them as such.
-Which of the following is the best translation into PL of this argument?
A) ∼O ⊃ T / ∼(O ≡ ∼T)
B) ∼O ⊃ T / O ≡ ∼T
C) ∼(O ⊃ T) / O ≡ ∼T
D) ∼O ⊃ T / O ⊃ ∼T
E) ∼(O ⊃ T) / O ⊃ ∼T

Question

Quizplus · Accepted Answer

The argument structure is a negation of a conditional statement followed by an equivalence statement. The correct translation captures the structure that it is not the case that if aesthetic values are objective (O), then we must treat them as such (T), leading to the conclusion that aesthetic values are objective just in case it is not the case that we must treat them as such. This is accurately represented by the symbols in choice C, where ∼(O ⊃ T) translates to "it is not the case that if O then T," and O ≡ ∼T translates to "O is the case just in case T is not the case."

It Is Not the Case That If Aesthetic Values Are