Use the Following Key to Determine Which English Sentence Best

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.
-∼(A • E)

A) It is not the case that Peirce either studied logic or emphasized education.
B) It is not the case that Peirce both studied logic and emphasized education.
C) Peirce neither studied logic nor emphasized education.
D) Peirce did not both not study logic and not emphasize education.
E) Peirce did not study logic and James was not a pluralist.