Minimal Structural Requirements for Consistent Ontology

Read full text
Authors: Kenneth L. Searcy
Cited by: 6

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