As a poet and as a mathematician, he would reason well; as a mere mathematician, he could not have reasoned at all.
In Edgar Allan Poe's "The Purloined Letter," the quote emphasizes the relationship between creativity and logic. It suggests that the skills of a poet, which involve imagination and insight, enhance a mathematician's ability to solve problems. Without this creative aspect, a mathematician might struggle to arrive at conclusions or could become overly rigid in their reasoning.
The statement highlights the value of combining artistic sensibilities with analytical thinking. This synergy allows for a more holistic approach to understanding complex issues, suggesting that true reasoning requires both structured logic and the flexibility of creative thought. Thus, it celebrates the interconnectedness of different modes of thought in achieving clarity and understanding.