The ancient Greek writer Herodotus was inordinately as historical facts. blithely accepting wildly improbable legends

This term refers to someone who is domineering or commanding. Although Herodotus may have had strong opinions, the context of the statement focuses on his tendency to accept legends as facts rather than exerting authority or control over others. Thus, "imperious" does not accurately describe his approach to historical narratives.

"Prolific" means producing many works or results, often used to describe an artist or writer with a large output. While Herodotus was indeed a significant figure in history writing, the question specifically addresses his belief in historical facts and legends, making "prolific" irrelevant to the context of his credulity.

"Derisive" indicates a mocking or contemptuous attitude. This choice contradicts the idea presented in the statement, as it implies that Herodotus would dismiss legends rather than accept them as historical facts. Therefore, "derisive" does not fit the context of how he viewed improbable legends.