Library / First Principles Framework (FPF) - Core Conceptual Specification
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Source changed 2026-10-03 11:52:20 UTC · snapshot created 2026-10-03 11:53:41 UTC · last check 2026-10-03 13:00:08 UTC

A.6.0:4.1 - Admit and identify U.Signature

U.Signature is a same-individual dependent durable U-kind under U.Episteme. C.2.1 first identifies one episteme through one EpistemeConstitutionRelation by its complete claim content, exact independently governed EntityOfConcern, and effective U.ReferenceScheme. The claim graph and reference scheme are epistemic constituents; the EntityOfConcern is not. A.6.0 adds a stable membership condition and practitioner-facing declaration use to that already identified individual. It adds no second constitution relation, identity discriminator, assembly, composition rule, or holon test.

An already identified episteme is a U.Signature exactly when, under its effective U.ReferenceScheme, its complete identity-bearing claim content carries a reusable law-governed declaration about its exact EntityOfConcern and includes all of the following with substantive meaning:

  • direct SubjectKind and RangedValueKind declarations that identify the declared subject and value range;
  • Vocabulary that supplies the designators needed to reuse the declaration;
  • Laws that state the reusable predicates, equations, invariants, closure conditions, or other declared regularities;
  • Applicability that bounds where those claims are used;
  • ResultKind, SliceSet, ExtentRule, and dependency, import, or provided-name declarations only when those distinctions are current for the declaration.

Judge the complete claim content, not a selected subset or the presence of field names. A minimal directly authored signature may carry the declaration content required by the A.6.0 membership predicate in one claim graph without citing any smaller episteme. A signature may instead cite separately identified source or dependency epistemes, provided its own claim graph names the dependency relation and the declaration meaning thereby reused. Those source epistemes remain separate individuals connected through their governing dependency, source-use, edition, or other direct relations; they are not components assembled into the signature, and their citation alone does not establish signature membership.

E.24.UK governs the one-time public admission of the dependent kind. In project work, authoring a new declaration candidate, or revising a declaration so that its claim content, exact EntityOfConcern, or effective U.ReferenceScheme changes, yields a resulting C.2.1 discriminator triple. When the one EpistemeConstitutionRelation for that triple obtains, C.2.1 identifies the resulting episteme; A.6.0 then judges whether that already identified individual satisfies the U.Signature membership predicate, without adding a second constitution occurrence or identity discriminator. An optional separately reviewable membership judgment is another classification-assertion episteme whose exact EntityOfConcern is the candidate. For citation, comparison, reuse, or membership judgment with unchanged C.2.1 discriminators, the candidate episteme and its constitution occurrence remain the same.

The signature keeps the C.2.1 identity of the same episteme. Two designations resolve to that same individual only while the complete claim content, exact EntityOfConcern, and effective U.ReferenceScheme are unchanged. Changing any discriminator identifies another U.Episteme; call that new individual a U.Signature only if it independently satisfies the membership predicate above. State an edition, refinement, or supersession relation only when its own direct predicate obtains.

The declared subject remains the independently governed EntityOfConcern, not the signature. A realization of the declaration remains under its direct pattern. A description whose EntityOfConcern is the signature is another episteme. Publication occurrence, publication form, U.PresentationCarrier, and representations remain separate objects and relations under their direct patterns; publication or visible form establishes neither identity nor membership. G.11 currentness and every later work or use likewise remain neighboring judgments and relations rather than signature identity components.