Conditions of Describability: A Dependency Audit of Relation, Distinction, Identity, Comparison, and Equivalence

This note investigates the minimum conceptual and structural conditions required for description. Five candidate concepts—Relation, Distinction, Identity, Comparison, and Equivalence—were audited under a frozen methodological protocol. None of the five terminated in a simpler conceptual primitive. Instead, each exposed dependencies on a recurring layer of structural commitments involving admissible positions or terms, multiplicity of roles, a provisional domain of admissibility, and criteria or structural bases governing admissibility, discrimination, or classification. The inquiry therefore shifted from a search for the most primitive concept to an examination of the minimum irreducible structural commitments required for describability. The note documents the methodology, the individual audits, the cumulative result, and the open questions that remain.