Minimal Structural Requirements for Consistent Ontology
Abstract
What minimal structure must ontology have to be describable at all? This paper argues that once pure absolute nothingness is excluded as an admissible foundational candidate, non-empty structure alone is still not enough. Any ontology admissible for nontrivial ontological description must realize three irreducible structural roles: stable reference, differentiation, and closure across differentiated referents. Stable reference is required because otherwise no description can remain about the same target across attribution or comparison. Differentiation is required because otherwise no contrastive content can arise. Closure is required because stable reference plus differentiation still yield only disconnected plurality unless differentiated referents can enter a jointly constrained content-bearing structure. The paper then argues that, in the present framework, these three forced role-types are expressed as identity, distinction, and relation. It further establishes that triadic minimality is to be understood relative to the paper’s stated admissibility burden: any proposed fourth foundational role must either refine one of the three burdens, contribute to a richer admissibility burden, or introduce an additional burden beyond the paper’s scope. The result is deliberately limited. It does not yet derive transition, time, causation, dynamics, information, geometry, or physics. It establishes a narrower necessity result: any consistent ontology must minimally realize the three irreducible structural roles required for nontrivial ontological description.
Fields of Study & Subjects
Semantic Web and Ontologies
Philosophy and Theoretical Science
Biomedical Text Mining and Ontologies
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 18 January 2026
- Document type
- Preprint