From a Fields Medal Breakthrough to the Direction of Time – A Dialogue on the Micro–Macro Link, Entropy, and the Kantian Framework

数学是否反映了世界的本质？

“主义”是一种理论吗？

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.

熵增会不会是理性推进时遇到的自然阻力？ ——从菲尔兹奖得主邓煜的研究成果说起

The discussion following the Fields Medals focused on Yu Deng’s proof linking reversible microscopic motion to irreversible macroscopic behavior, illuminating entropy’s complexity. His research, while mathematically intricate, provides a philosophical framework that suggests entropy represents structural resistance in reason, enhancing our understanding of the relationship between mathematics and natural phenomena.

被终结的垄断：当“信念”不再是知识的入场券

The book Justification and Knowledge addresses the “Gettier problem,” proposing a framework that emphasizes the dynamic interplay of belief, logic, and knowledge, including AI’s role in redefining truth.