PFUSRC-144B The Four Cognitive Modalities and Hierarchical Reassignment: Rigorous Demarcation of Fuzzy Logic, Interval Theory, Valuation Theory and the Uncertainty Principle — A Workshop Model for Rectifying Eastern and Western Cognitive Misalignment

PFUSRC-00 established the 45° triple coaxial double-cone topological unified system. During the dissemination of its cognitive framework, four core concepts—Fuzzy Logic, Interval Theory, Valuation Theory, and the Uncertainty Principle—have long been conflated indiscriminately. Drawing on the L4–L7 hierarchical division of the PFUSRC seven-layer ontology, this paper delivers rigorous conceptual demarcation and hierarchical positioning: Fuzzy Logic is not an independent cognitive apparatus, but a misplaced L5–L7 operational strategy derived from pre-linguistic L4 intuitions of Interval Theory, Valuation Theory and the Uncertainty Principle. The research originates from the conflicting cognitive judgments of two representative scholars: Zeng Shiqiang’s life philosophy centered on fuzzy reasoning holds valid intuitive insight into L4 ontological flow yet misapplies L4 ontological reverence to L5–L7 practical governance; Yang Zhenning’s critique of the I Ching’s lack of deductive logic is accurate at the receiving layer (L5–L7) but improperly judges the illuminating function of the dispatching layer (L4). Both controversies stem from universal hierarchical misalignment between two civilizational cognitive paradigms. This paper proposes the core methodological “Workshop Model”: L4 functions solely as the dispatching layer dominated by systemic valuation and interval constraint; L5–L7 constitute the receiving layer requiring strict determinacy and deductive precision. Western cognitive tradition fully masters receiving-layer methodology yet overextends deterministic logic to constrain the fluid ontology of L4; Eastern indigenous thought captures the complete topological logic of the dispatching layer yet downgrades ontological intuition to substitute rigorous deduction within the receiving layer. This two-millennia cross-paradigm misalignment originates from mutual paradigm overreach. This work forms part of the PFUSRC Cognitive Trilogy alongside PFUSRC-140 and PFUSRC-143, offering a foundational framework for hierarchical reassignment of human cognition.