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Every political philosopher of the early twentieth century who was either a socialist or a communist was influenced by Rosa Luxemburg. No one who was influenced by Rosa Luxemburg advocated a totalitarian state.

If the statements above are true, which one of the following must on the basis of them also be true?

Let's say RL had influenced 100 PP. Out of that 30 were early 20th-century PP. Each of them was either a socialist or a communist. Now, none of the those 100 PP advocated a totalitarian state.

(A) No early-twentieth-century socialist political philosopher advocated a totalitarian state. - CORRECT. This is true.

(B) Every early-twentieth-century political philosopher who did not advocate a totalitarian state was influenced by Rosa Luxemburg. - WRONG. There still can be PP who were not influenced by RL but advocated totalitarian state. Make a Venn diagram where one circle is RL influencers and the other is Early 20th-century PP, and only a small part of them overlap to understand.

(C) Rosa Luxemburg was the only person to influence every early-twentieth-century political philosopher who was either socialist or communist. - WRONG. An absolute claim that is not true.

(D) Every early-twentieth-century political philosopher who was influenced by Rosa Luxemburg and was not a socialist was a communist. - WRONG. Out of scope at best. But it can't be said clearly whether PPs were either socialist or communist or both.

(E) Every early-twentieth-century political philosopher who did not advocate a totalitarian state was either socialist or communist. - WRONG. Goes out of the context w.r.t. passage.

Answer A.
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