Anaximander and the Zero Principle: The Relational Ontology of the _Apeiron_

This paper reinterprets Anaximander of Miletus (c. 610–546 BCE) through the lens of the Neo‐Pre‐Platonic Naturalist (NPN) framework, particularly its Zero Principle (ZP): that any determinate system requires an indeterminate complement. Against Aristotle’s sub- stance‐oriented reading—which systematically recast the Apeiron as hylē aoristos (indefinite matter)—I argue that Anaximander’s Apeiron is not an indefinite material substrate but the nec- essary indeterminate ground for the emergence of determinate entities. His single preserved fragment (Simplicius, Commentary on Aristotle’s Physics, 24.13) outlines a four‐step cycle of iden- tity: (1) the boundless ground (Apeiron), (2) the cut of individuation (adikia), (3) the measure of distinction (Time), and (4) the re‐cut of dissolution (dikē). A rigorous etymological analysis reveals that Anaximander’s specific lexical choices—contrasted with the substance‐based vocabu- lary available to him—point decisively toward a relational ontology in which identity is tempo- rary and maintained through contrast with an unbounded background. The striking structural parallels with modern thermodynamics are not anachronistic but demonstrate that Anaximan- der intuited the logical architecture of identity that physics would later formalize—what the NPN framework terms the General Zero Principle (GZP). By recovering Anaximander’s original insight through the NPN lens, we correct a longstanding Aristotelian misreading and establish the Zero Principle as a foundational metaphysical concept with enduring relevance for process philosophy, systems theory, and the philosophy of science.