The “Emperor’s New Clothes” of Fuzzy Logic: From Logical Failure to Paradigm Reconstruction

Traditional Fuzzy Logic has been widely adopted for uncertainty reasoning, yet its foundational architecture violates fundamental logical axioms, including the Law of Non-Contradiction and the Law of Excluded Middle. This paper argues that these inconsistencies are often masked by empirical parameter tuning, which fails in safety-critical edge cases. We propose a transition from “Empirical Alchemy” to “Logical Chemistry” through the Earthling Logic (EL) framework, which restores axiomatic integrity while handling vagueness and randomness.