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.
-[∼D • (∼E ⊃ ∼C) ]

A) Both Dewey did not denigrate the quest for certainty and Peirce did not emphasize education, given that Dewey did not write about thirdness.
B) Dewey not denigrating the quest for certainty and Peirce not emphasizing education are necessary conditions for Dewey not writing about thirdness.
C) Dewey did not denigrate the quest for certainty just in case if Peirce did not emphasize education then Dewey did not write about thirdness.
D) Dewey did not denigrate the quest for certainty if, and only if, Peirce not emphasizing education entails Dewey not writing about thirdness.
E) Dewey did not denigrate the quest for certainty and Dewey did not write about thirdness given that Peirce did not emphasize education.

Correct Answer:

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