Logical Vulnerability from the Lack of Awareness of Prerequisites: Discourse on the Arrow of Time, the Law of Increasing Entropy, and Heat Death

This paper identifies the logical fragility within the academic community by examining the discourse surrounding the "arrow of time" and the Law of Increasing Entropy. We contend that dynamical equations and inclusion relations are not concepts that exclude the arrow of time; rather, they fundamentally require it as a prerequisite rooted in causality. Furthermore, the Law of Increasing Entropy is merely a statistical tendency within statistical mechanics, far more limited in scope than the First Law of Thermodynamics. It is a logical leap to apply this law to the universe as a universal principle. Moreover, we demonstrate that the Law of Increasing Entropy itself cannot logically derive the "Heat Death" of the universe. Finally, we argue that the persistent lack of definitive rejection for these theories—despite being refutable through elementary logical analysis—leads to a significant waste of human resources and time. This underscores an urgent need for the academic community to strictly adhere to the principle of causality.