Admissibility Beyond Ontology
For centuries, three dominant schools have shaped how we understand mathematical truth: Platonism (mathematics exists eternally), Formalism (mathematics is symbol manipulation), and Structuralism (mathematics studies relations). Each captures something profound—yet each stops short of explaining why certain structures exist at all.
UNNS introduces the missing concept: mathematical structures are not assumed, discovered, or merely described—they are generated and survive only if they remain admissible under recursive collapse and regeneration.