AXIOMATIC FOUNDATIONS OF DIFFERENTICS v1.0 EN

DESCRIPTION Axiomatic Foundations of Differentics v1.0 is the first formal axiomatic document of the proposed interdisciplinary discipline Differentics. The document establishes the foundational logical framework of Differentics by introducing its primitive concepts, fundamental axioms, postulates, derived principles, and initial theorems. The central proposition of the theory is that Difference constitutes the minimal logical condition necessary for distinction, identification, information, structure, change, and emergence. Building upon the concepts introduced in the Differentics Manifesto and the Differentics Terminological Dictionary (Differedictionary), this publication provides the first systematic attempt to formulate the General Logic of Difference as an independent theoretical framework. The document defines the core concepts DIFFERENTH, NODIFFERENTH, RELATH, INTERACTH, RECURSITH, and CERELATH, and proposes a generative sequence through which structures, dynamics, diversity, and connectivity emerge from Difference. It also introduces the ADP–TRIFORMER interpretation as a methodological model for analyzing transformational processes. This publication is intended as the foundational axiomatic layer of the broader Differentics research program and serves as a basis for future formal, mathematical, informational, computational, physical, biological, cognitive, and philosophical developments of the theory. Author: Giedrius Grebliunas Version: v1.0 Year: 2026 License: CC BY-NC-ND 4.0