Explanations are good just in case understanding is increased. Understanding is not increased if, and only if, explanations are empirical deductions. So, explanations are good if, and only if, they are not logical deductions.
-Which of the following is the best translation into PL of this argument?
A) E ⊃ U
∼U ≡ D / E ≡ ∼D
B) E ⊃ U
∼(U ≡ D) / E ≡ ∼D
C) U ≡ E
∼U ≡ D / E ≡ ∼D
D) U ⊃ E
∼(U ≡ D) / E ≡ ∼D
E) E ≡ U
∼U ≡ D / E ≡ ∼D

Question

Quizplus · Accepted Answer

The argument states that explanations are good if and only if they are not logical deductions, which is best represented by the equivalence relation in option E, where E represents explanations being good, U represents understanding being increased, and D represents empirical deductions. The argument also implies that understanding is not increased if and only if explanations are empirical deductions, which is translated as ∼U ≡ D, leading to the conclusion E ≡ ∼D.

Explanations Are Good Just in Case Understanding Is Increased