The Deductive Architecture of Life: From Boundary Mechanics to Objective Normativity

Abstract Biological sciences have historically defined life a posteriori, relying on observational abstractions and evolutionary contingency (e.g., the capacity for Darwinian selection). This reliance results in definitions that fail basic edge cases—such as the sterile mule—and structurally preclude any bridge to objective value. This paper abandons observational abstraction in favor of a priori logi- cal deduction. By starting with the minimal physical precondition for identity—the maintenance of a boundary against continuous disruptive interaction—we derive the exact operational mechan- ics of life, agency, and value. Through an eleven-step logical deduction, we demonstrate that life is the constitutively necessary cybernetic loop of comparison and action required for a bounded system to persist. This framework proves that life and minimal agency are isomorphic, deduces Darwinian evolution as a deep-time navigational strategy rather than a defining parameter, and formally dissolves Hume’s Is-Ought gap by embedding normativity within the operational re- quirements of persistence. Ultimately, this deductive framework provides a universal, falsifiable diagnostic tool capable of distinctly categorizing living agents, natural physical processes, and artificial intelligence. Keywords: Theoretical Biology, Agency, Cybernetics, Normativity, Derivation of Life