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 ≡ B) ⊃ C

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

Correct Answer:

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