Who Gave Reductionist Generalization Its Power?

Abstract

Reductionist generalization---the illegitimate usurpation of the methodological principle ``understand the whole by analyzing its parts'' into the worldview ``the whole is nothing but the sum of its parts''---has formed a robust illusion of power within the modern academic system. This paper dismantles that illusion with the weapon of rigorous mathematical proof. We first expose that the power of reductionist generalization is not granted by reason but is a product of conceptual sleight-of-hand and academic alienation. We then present the complete proofs of the foundational holism theorems (the Truth Function Theorem, the Whole--Part Correspondence Theorem, and the Paradigm Invariance Theorem), demonstrating that the core claims of reductionist generalization stand in direct contradiction to these theorems. We further dissect its three principal conceptual substitutions and, from the three dimensions of academic value, ecological impact, and cognitive boundaries, adjudicate its status as academic waste. The verdict declares: reductionist generalization never possessed any legitimate cognitive power---its so-called ``rule'' was never mathematically valid and is now permanently revoked. True power belongs to truth, and truth, as the holism theorems demonstrate, is an indivisible functional whole.

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