Andrew Wiles’s approach reflects the essential unity of creative insight and precise reasoning, central to any profound intellectual breakthrough. For decades, he pursued Fermat’s Last Theorem, driven by a belief that persistence and deep intuition could eventually penetrate its mystery. This unwavering commitment culminated in a proof that not only answered an age-old question, but also demonstrated how imaginative thinking, when coupled with rigorous logic, can transform long-standing challenges into elegant truths. Wiles’s achievement thus underscores that groundbreaking ideas in science and philosophy are born from the resolute blending of creative vision and methodological discipline.