Abstract

This paper proposes The theory of the Pivot of the Dao (Daoshulun,DSL), aiming to investigate certain issues through the lens of recursivity and non-recursivity. The paper is divided into two main sections: The first section systematically expounds the theoretical foundation of the D-P framework, defining the dialectical relationship between recursivity (P) and non-recursivity (D). Through five core propositions, DSL asserts that the essence of hierarchical evolution lies in the eternal game of recursive chains. The second section explores DSL’s division of rationality, the ethics of artificial intelligence (AI) under DSL, and an interpretation of the latent laws governing scientific development. The D-P framework offers a unified explanation for the hierarchical interactions, limitations, and evolutionary patterns of complex systems. Its methodological discussions encompass AI ethics, philosophy of science, and social governance. © 蒋柯帆 2025. This is a preprint version licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This version supersedes all previous versions uploaded prior to March 13, 2025, which did not carry an explicit license. You are free to share and adapt this material for non-commercial purposes, provided you give appropriate credit to the author. For commercial use, please contact the author. If you need to make any adjustments to the existing categories, please notify me by email in advance so we can coordinate accordingly.