Relational ontology is the philosophical claim at the foundation of relationality: relations are ontologically prior to entities. Things do not exist first and then enter into relations. Rather, things are constituted through their relations — what something is reduces to how it relates.
This is not merely an alternative philosophical stance adopted for its consequences. The derivation demonstrates it: beginning from the impossibility of nothing, the 18-step forced derivation produces Relating (step 2) before any entity-like structure exists. Closure (step 3) produces self-maintaining units, but those units are constituted by the closure of relational activity, not by substance or property. The “things” of the derivation are Profiles (step 16) — complete relational universes carved out by Filters from the relational field. A Profile is not a substance with properties; it is a structural pattern so thoroughly compatible with the relational dynamics that it constitutes its own self-contained world.
The derivation’s logic is intuitionistic (Heyting algebra, step 12), not classical. This reflects the relational stance: not every question has a determinate answer. Some matters are genuinely indeterminate until relational activity resolves them. The law of excluded middle fails because existence is relational, not substantial — there is no fact of the matter independent of the relations that constitute it.
Relational ontology is grounded in Lakota epistemologies, where the primacy of relations over entities is not a theoretical innovation but a lived understanding. The derivation formalizes what that understanding requires: that relating precedes and constitutes what is related.