In Edgar Allan Poe's "The Murders in the Rue Morgue," the quote highlights the distinction between creativity and analytical thinking. It suggests that those who possess ingenuity often display fanciful ideas or concepts, while those with true imagination engage in a deeper analytical process. This dichotomy emphasizes the importance of both creativity and critical thinking in problem-solving.

Poe's work focuses on the methodical approach taken by his detective, who exemplifies this analytical imagination. It indicates that the most profound insights often come from a blend of imaginative thinking and a rigorous, methodical examination of evidence, suggesting that to solve complex mysteries, one must harness both creative and logical skills.