Use the Following Key to Determine Which English Sentence Best

Multiple Choice

use the following key to determine which English sentence best represents the given formula of PL.
A: Peirce studied logic.
B: James was a pluralist.
C: Dewey wrote about thirdness.
D: Dewey denigrated the quest for certainty.
E: Peirce emphasized education.
-∼C ⊃ (A ≡ B)

A) If Dewey wrote about thirdness, then Peirce studied logic just in case James was a pluralist.
B) If Dewey did not write about thirdness, then Peirce studying logic is a necessary condition for James to be a pluralist.
C) Dewey did not write about thirdness provided that Peirce studied logic if, and only if, James was a pluralist.
D) Dewey not writing about thirdness entails Pierce studying logic and James being a pluralist.
E) If Dewey did not write about thirdness, then Peirce studied logic if, and only if, James was a pluralist.