Hijacking Analysis with Dismemberment--- The Root Cause of Reductionist Generalization

Abstract

The reductionist method has achieved immense success in modern science, but its generalized form---the claim that the whole is nothing but the mechanical sum of its parts---has become a dogma obstructing cognitive breakthroughs. Within the rigorous framework of the Zhu--Liang holism axiomatic system, this paper provides, for the first time, a precise mathematical diagnosis of the root cause of reductionist generalization: \textbf{Reductionist generalization hijacks analysis with dismemberment}. Analysis is the legitimate restriction of a whole function to a local domain (taking the subfunction $F|_P$), always subject to the enforcement of the global compatibility constraint $f_Q|_P = f_P$; dismemberment is the illegitimate operation that negates the compatibility constraint and ontologizes subfunctions as independent entities. We further reveal, from the perspective of metabolic dynamics, that reductionist generalization is an entropy-increasing process of a cognitive metabolon under excessive incentive and deficient constraint, which eventually condenses into a tribulation object. The holism theorems simultaneously falsify reductionist generalization while preserving the authentic status of the analytical method. This paper provides a unified meta-methodological foundation for understanding crises of scientific paradigms, failures of interdisciplinary dialogue, and academic involution.

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