If Sheldon writes a paper, then using the copier is a necessary condition for Yessenia reading it. Yessenia doesn't read it only if Sheldon doesn't write it. So, if Sheldon writes a paper, then he uses the copier.
-Which of the following is the best translation into PL of this argument?
A) S ⊃ (Y ⊃ C) ∼S ⊃ ∼Y / S ⊃ C
B) S ⊃ (Y ⊃ C) ∼Y ⊃ ∼S / S ⊃ C
C) S ⊃ (C ⊃ Y) ∼Y ⊃ ∼S / S ⊃ C
D) S ⊃ (C ⊃ Y) ∼S ⊃ ∼Y / S ⊃ C
E) S ⊃ (Y ≡ C) ∼Y ≡ ∼S / S ⊃ C

Question

Quizplus · Accepted Answer

The correct translation reflects the logical structure of the argument: "If Sheldon writes a paper (S), then using the copier (C) is necessary for Yessenia reading it (Y)" translates to S ⊃ (Y ⊃ C). "Yessenia doesn't read it only if Sheldon doesn't write it" translates to ∼Y ⊃ ∼S, indicating that if Yessenia doesn't read it, then Sheldon didn't write it. The conclusion "So, if Sheldon writes a paper, then he uses the copier" is correctly represented as S ⊃ C. This structure is accurately captured in option B.

If Sheldon Writes a Paper, Then Using the Copier Is