Recursive Continuity, Dynamical Form and the Generative Opening of Determination: Semiotics, hierarchy and relational ontology in physics, biology and formal logic

This paper develops a hierarchical relational ontology in which determination emerges through recursively organized continuity rather than through the interaction of pregiven objects, substances, or representations. Bringing together relational, semiotic, and process-oriented approaches to organization — including Spencer-Brown’s logic of distinction, Rosen’s relational ontology, and Bohm’s notion of ordering — the paper develops a recursive logic of determination operating across physics, biology, and formal logic. By distinguishing continuity-preserving operators from distinction-enacting sign-processes, the paper develops a relational account of synchronization, signaling, hierarchical organization, and dynamical form as an evolving interpretive organization through which open systems progressively bring their worlds into determination. Recursive determination is argued to remain constitutively open: every achieved order of organization encounters signs whose implications exceed its existing interpretive continuity, giving rise to rupture, return, transformation, and transcendence as intrinsic features of recursive organization itself. The resulting ontology is relational, hierarchical, interpretive, and permanently incomplete.