The third circle with which Anna had ties was preeminently the fashionable world—the world of balls, of dinners, of sumptuous dresses, the world that hung on to the court with one hand, so as to avoid sinking to the level of the demi-monde.
I see no distinct grounds for classical studies being given a preeminence over scientific studies.
There are no more uses of "preeminent" in the book.
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To remain a preeminent military power, a nation must be a preeminent economic power
made a fortune as a preeminent computer game designer