Consider the following premises. For all x_7, x_7 is a writer if and only if x_7 will play tennis. Mary is curious if and only if William is playing tennis. Mary is curious if and only if Linda is listening to a song. Linda is not listening to a song. Can we infer the following from them? William is a writer.
 From the fact that Mary is curious if and only if Linda is listening to a song, and that Linda is not listening to a song we can infer that Mary is not curious. From the fact that for all x_7, x_7 is a writer if and only if x_7 will play tennis we can infer that William is a writer if and only if William is playing tennis. From the fact that Mary is curious if and only if William is playing tennis, and that Mary is not curious we can infer that William is not playing tennis. Finally, from the fact that William is a writer if and only if William is playing tennis, and that William is not playing tennis we can infer that William is not a writer, which contradicts that William is a writer. Therefore, the answer is no.