The discussion centers on the distinctions between great mathematicians and ordinary ones, with a focus on factors such as influence, problem-solving ability, and recognition in the field. Key points include the notion that having an unsolved math problem named after a mathematician can signify greatness. The conversation also touches on the loss of passion for mathematics and questions how to rekindle that enthusiasm. Additionally, there is exploration of what "greatness" entails—whether it refers to fame, popularity, or significant competence—and how such qualities are measured in the context of a mathematician's impact on their subject.