Library / First Principles Framework (FPF) - Core Conceptual Specification
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A.14:14 - SoTA-Echoing

This edition’s collection-belonging rule follows the current constructional line: first identify what is being constructed and what gives it identity, then state the relation that actually obtains. It does not import a ready-made universal membership predicate.

Source lineUseful contributionLimitA.14 decision and destination
Partridge et al., the constructional turn, and BORO C-FORS 2025Set, sum, tuple, and assembly constructors have different outputs, dependence, and identity conditions.BORO’s extensional, 4D, and unrestricted-composition commitments are not FPF defaults.Adapt. Solution item 5 and CC-MEM-1 distinguish a collection’s own belongs-to rule from a C.13 sum; CC-MEM-2/3 require a separate constructive-part claim rather than deriving or prohibiting it from belonging.
Florio and Linnebo, constructional ontology, and Borgo and Righetti, applied constructional ontologyGivens, constructors, inputs, and construction processes must be distinguished; set, sum, and ordered-pair constructions are not interchangeable.The applied work is exploratory and does not supply FPF’s domain-facing identity, admission, use, or history rules. Its plural membership is not a world-side belongs-to predicate.Adopt the explicit-choice obligation; reject predicate import. The decision table and Step 5 ask for the entity, collection, and its own beginning, ending, recurrence, and history conditions.
Kit Fine, Towards a Theory of PartComposition comes before derived part claims, and different operations have different application, identity, presence, and character principles.Fine’s broad use of part can also cover set elements or sequence places; that umbrella is too broad for a practitioner-facing FPF relation.Adopt operational priority; narrow the public result. CC-MEM-2 blocks both the inference from belonging to parthood and the inference that parthood is impossible; CC-MEM-3 admits the second claim only after all six A.1 matters pass.
Kit Fine, The Identity of Social GroupsStructured groups can persist through changing manifestations, and the same participants need not identify the same group.An identity-through-change rule does not make a register, corpus, product series, or Suite a structured whole.Adopt the identity questions, not automatic embodiment. CC-MEM-1 requires the collection’s identity and belonging history; the A.1 gate remains separate.

Aspect branch application

For AspectOf, the BORO and CCO rows above supply the constructor-sensitive question: which bearer, facet rule, dependent aspect, and identity conditions make this structural part? Fine’s composition-first pressure blocks a bare aspect label from deciding parthood. A.14 adapts that line in A.14:5.3, the decision procedure, and CC-ASP-1 through CC-ASP-4; C.13 slice remains an optional report, not the constructor of the aspect. The serious alternatives are routed rather than renamed: measured Characteristic (C.16/A.19), viewpoint or view (E.17), representation or projection (C.29 or its direct pattern), selected partition, and temporal restriction (PhaseOf/C.27.TA). The author must identify the actual relation before reusing the word aspect.

The resulting collection alternatives are deliberately distinct:

  • Selected: an ordinary subject-specific belongs-to sentence plus the collection’s own rule.
  • Rejected: one generic MemberOf, because it collapses formal inclusion, classification, participation, collection belonging, and constructive parthood.
  • Rejected for present public use: one qualified generic collection-belonging predicate, because its qualifiers must recreate every subject rule.
  • Retained as a separate possible claim: constructive parthood, but only when its direct relation obtains and all six A.1 matters pass.

A.14 supplies no immediate cross-domain query key for all belongs-to relations; use F.18 to name a narrower relation when repeated query, comparison, or declaration use justifies that extra vocabulary.

The rest of the catalogue retains its own governing source lines:

  • Metrical mereology advances motivate PortionOf with explicit μ and Σ-laws, preventing the classic “stuff as components” fallacy.
  • Temporal parts and identity through change motivate PhaseOf as transitive proper temporal parthood, with nesting and overlap allowed, partition-specific coverage and non-overlap, and escalation when identity criteria fail.
  • Engineering product models, including the ISO 15926 family, pressure authors to keep functional classification, physical product breakdown, and stocks or consumables distinct; A.14 routes those claims to their direct relations instead of one part tree.
  • Knowledge-episteme edition histories in contemporary MBSE and open-science practice motivate explicit endpoint identities and provenance-preserving composition. FPF uses the C.2.1 identity triple and independently obtaining EpistemeEditionRelation for distinct editions; A.14 retains PhaseOf only for a proper temporal restriction of one unchanged episteme.

The catalogue keeps direct component, constituent, portion, bearer-dependent aspect, phase, and collection-belonging claims distinct, while a separately grounded constructive part claim remains possible without another universal relation vocabulary.