Does Mathematics Reflect the Essence of the World?

Is an “-ism” a Theory?

The term “-ism” often misleads people into thinking it signifies a complete theory. Instead, it indicates a stable intellectual position or value orientation. The distinctions between -ism, theory, and philosophical systems clarify Western and Chinese philosophical traditions, highlighting practical living over abstract theorization in the latter.

Mathematical News, Modern Mathematical Research, and Their Philosophical Significance: Complete Dialogue Record

The conversation covers recent mathematical achievements by Fields Medal winners, focusing on their individual research contributions. It highlights the importance of collaboration, the educational and research environments influencing their success, and the philosophical implications of their work. Additionally, it discusses the immediate and long-term applications of their findings in mathematics and related fields.