Γ_epist — Knowledge-Specific Aggregation
About this pattern
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How to use this pattern
Read the ID, status, type, and normativity first. Use the content for exact wording, the relations for adjacent concepts, and citations to keep active work grounded without pasting the whole specification.
At a glance. Use B.1.3 to compose exact U.Episteme inputs into one knowledge aggregate while preserving provenance, conceptual fit, context, and conservative assurance bounds.
Use this when. Use this pattern when a named synthesis or compilation use depends on how claims, models, datasets, or arguments are combined, and the aggregation must keep source, mapping, conflict, order, and temporal qualifications inspectable.
Not this pattern when. Use C.2.1 for episteme identity and edition continuity, A.14 for a proper temporal restriction of one unchanged episteme, A.15.1 for Work parts or occurrences, B.1.4 for a bounded aggregation of already recovered order or temporal relations, and B.3 for the assurance claim that consumes the aggregate.
What changes in practice. Identify every input episteme and mapping before folding; preserve provenance and conflicts; and return identity, edition, temporal restriction, Work, publication, and assurance questions to their subject patterns.
► decided‑by: A.14 Advanced Mereology A.14/C.2.1 compliance — Use ConstituentOf for semantic parts and PortionOf only for quantitative splits of texts/data with declared μ. Use
PhaseOfonly for a proper interval of one unchanged C.2.1 episteme. When a MethodDescription or document episteme's claim content, EntityOfConcern, or effective ReferenceScheme changes, identify another episteme and assertEpistemeEditionRelationonly when its historical-continuation predicate obtains. Work segmentation uses A.15.1; no ComponentOf is used here.
Plain‑English headline. Γ_epist composes epistemic holons (claims, models, datasets, arguments) into a single episteme while preserving provenance, applying conservative trust bounds (B.3 F/G/R), and penalizing poor conceptual fit via congruence levels (CL). It is not a physical sum; it is a semantic and evidential fold.
- Holonic foundation. In the FPF, a
U.Epistemeis a holon whose identity is knowledge-bearing (A.1). It can be a statement/claim, a model, a theory, a specification, a dataset with semantics, or a compiled claim-bearing synthesis. - Strict Distinction (A.15). We separate: structure (what the episteme comprises), order (argument flow), identity and history (C.2.1 identities and edition relations), proper temporal restriction (A.14), work (what was spent to produce/validate it), and values (objectives/criteria). Γ_epist stays in the structure/semantics lane and calls out to Γ_ctx/Γ_time/Γ_work only after their direct inputs are recovered.
- Mereology (A.14). For knowledge composition we primarily use ConstituentOf (logical or semantic parts), UsageOf or ReferenceTo (external reliance), and each collection's own belongs-to rule for collections such as anthologies or corpora. We do not use ComponentOf (physical) in Γ_epist.
PhaseOfmay restrict the same unchanged episteme to a proper interval when its complete C.2.1 identity triple remains fixed. Distinct labelled versions or revisions require distinct C.2.1 identities when a discriminator changes and an independently obtainingEpistemeEditionRelationfor any claimed historical continuation. Knowledge does not act and acquires neither a work-facing local system-role kind nor an assignment. Ordinary prose may say, for example, "the researcher synthesized the sources". If the receiving use does not identify that action as one particular datedU.Workoccurrence, stop with the ordinary sentence. If it does, recover each actual performer's A.13 core and independently admit the occurrence under A.15.1. Add F.6 only when the receiving use also needs precise assignment-bound attribution; a short local projection may omit an unused assignment identifier only when every consumed relation remains recoverable. - Assurance (B.3). Knowledge carries F, G, R (Formality, ClaimScope, Reliability). Integration edges carry CL (congruence level) that penalizes poor fit. Γ_epist must preserve provenance and apply conservative bounds: no “truth averaging,” no silent context hops. Obligations here are mode/assurance‑gated per C.2.1. # [M‑0]
- Order/time flavours. Argument sequences may need Γ_ctx (non-commutative ordering of premises to conclusion). Knowledge evolution first uses C.2.1 to identify exact epistemes and any obtaining edition relations; B.1.4/Γ_time may then aggregate already recovered temporal restrictions, relation order, deprecation, or update windows for a bounded use. The aggregation creates neither identity nor continuity. Open B.2 only if the synthesis leaves a genuine whole-reidentification question after the existing-whole explanation check and identifies an exact candidate new whole; new wording or explanatory gain alone is not MHT.
Keywords
- knowledge aggregation
- epistemic
- provenance
- trust
- KD-CAL.
Relations
Content
Problem frame
- Holonic foundation. In the FPF, a
U.Epistemeis a holon whose identity is knowledge-bearing (A.1). It can be a statement/claim, a model, a theory, a specification, a dataset with semantics, or a compiled claim-bearing synthesis. - Strict Distinction (A.15). We separate: structure (what the episteme comprises), order (argument flow), identity and history (C.2.1 identities and edition relations), proper temporal restriction (A.14), work (what was spent to produce/validate it), and values (objectives/criteria). Γ_epist stays in the structure/semantics lane and calls out to Γ_ctx/Γ_time/Γ_work only after their direct inputs are recovered.
- Mereology (A.14). For knowledge composition we primarily use ConstituentOf (logical or semantic parts), UsageOf or ReferenceTo (external reliance), and each collection's own belongs-to rule for collections such as anthologies or corpora. We do not use ComponentOf (physical) in Γ_epist.
PhaseOfmay restrict the same unchanged episteme to a proper interval when its complete C.2.1 identity triple remains fixed. Distinct labelled versions or revisions require distinct C.2.1 identities when a discriminator changes and an independently obtainingEpistemeEditionRelationfor any claimed historical continuation. Knowledge does not act and acquires neither a work-facing local system-role kind nor an assignment. Ordinary prose may say, for example, "the researcher synthesized the sources". If the receiving use does not identify that action as one particular datedU.Workoccurrence, stop with the ordinary sentence. If it does, recover each actual performer's A.13 core and independently admit the occurrence under A.15.1. Add F.6 only when the receiving use also needs precise assignment-bound attribution; a short local projection may omit an unused assignment identifier only when every consumed relation remains recoverable. - Assurance (B.3). Knowledge carries F, G, R (Formality, ClaimScope, Reliability). Integration edges carry CL (congruence level) that penalizes poor fit. Γ_epist must preserve provenance and apply conservative bounds: no “truth averaging,” no silent context hops. Obligations here are mode/assurance‑gated per C.2.1. # [M‑0]
- Order/time flavours. Argument sequences may need Γ_ctx (non-commutative ordering of premises to conclusion). Knowledge evolution first uses C.2.1 to identify exact epistemes and any obtaining edition relations; B.1.4/Γ_time may then aggregate already recovered temporal restrictions, relation order, deprecation, or update windows for a bounded use. The aggregation creates neither identity nor continuity. Open B.2 only if the synthesis leaves a genuine whole-reidentification question after the existing-whole explanation check and identifies an exact candidate new whole; new wording or explanatory gain alone is not MHT.
Problem
Naive aggregation of knowledge holons causes recurring failures:
- Trust inflation by averaging. Averaging confidences of conflicting claims creates a falsely “reliable” whole; violates WLNK and B.3 conservatism.
- Provenance erasure. Merges that drop sources, methods, or links break A.10 Evidence Graph Referring and make results unauditable.
- Semantic drift. Folding across mismatched concepts without explicit mappings (and their CL) yields incoherent composites that look formal but mean nothing.
- Order blindness. Arguments with essential dependency order (premise ⇒ lemma ⇒ conclusion) are treated as sets; non‑commutativity is lost and results become non‑reproducible.
- Semantic-context chimeras. Combining claims whose local senses or reference schemes differ, without exact mappings and—when meanings cross—an F.9 Bridge plus a separately warranted bounded-use claim, silently corrupts claims and inflates R.
- Category errors. Importing Γ_sys rules (e.g., “sum truth,” “avg formality”) into knowledge composition produces physically sounding but epistemically nonsensical models.
Forces
Solution — Terms, operator family, invariant Standard, core rules
Terms (didactic recap)
- U.Episteme — a claim-bearing knowledge holon. C.2.1 identifies it through the participant-determined
EpistemeConstitutionRelationover<claim content, exact EntityOfConcern, effective ReferenceScheme>.ClaimGraphSlot,EntityOfConcernSlot, andReferenceSchemeSlotname participant meanings only inside that relation's reusable declaration; they are not internal slots of the episteme. Empirical grounding uses the separateEpistemeEmpiricalGroundingRelation, while text, code, figures, datasets, SCR/RSCR references, publication forms, and presentation carriers remain separately governed provenance, representation, publication, or carrier material. - Evidence/Provenance Graph — edges like evidences, derivesFrom, usesMethod, isMeasuredBy with anchors (A.10).
- Semantic mapping — the exact correspondence rule used by this fold. When it crosses semantic contexts, identify the source and receiving F.17
SchemeSenseCellvalues and an obtaining F.9Bridge; keep the proposed use, direction, use-specific rule, permitted loss, reliance, and CL evidence summary separate. F.9 does not require CL for every Bridge, but B.1.3 admits a mapping into its reliability fold only when that summary is present. CL can lower the estimate and never grants the use. - SCR — a
U.SCRthat lists all symbol carriers included in the aggregate; never dropped. - Semantic context — Plain shorthand for the local interpretation basis recovered from one exact F.17
SchemeSenseCellas<ReferenceScheme, LocalSenseClaim>. It is not another operation argument or entity. Crossing between two such contexts uses F.9 and the separate bounded-use and reliance steps above.
Didactic reminders. • Knowledge does not act. A researcher or engineer may use it while performing Work. Recover the exact System and Work only when the receiving claim consumes them; use A.12 only when the acting-side distinction is itself current. • A collection's own rule establishes which epistemes belong to it; belonging is not a semantic argument link and does not by itself make a holon. Use ConstituentOf for logical or evidential composition. •
PhaseOfis only a proper temporal restriction of one unchanged episteme. Changed C.2.1 discriminators identify another episteme; testEpistemeEditionRelationseparately. Use MHT only for a remaining whole-reidentification question, not as a substitute for C.2.1 identity.
The operator family (companion flavours)
To keep design vs run clean (A.15), Γ_epist has two companion flavours that share the same algebra but answer different semantic questions. Their declarations contain only the values on which the result depends. A performer, local system-role kind, or assignment is therefore not an operator argument: the same fold can be specified before staffing and can be applied in Work performed by different Systems without changing its result semantics.
When one particular operation application matters, use A.6.1 for that application and its argument and result bindings. A practitioner sentence may still say "the engineer compiled the guidance". If no particular dated U.Work claim is current, that ordinary sentence needs no classification or assignment apparatus. If one is current, recover every actual performer System's A.13 core and independently admit the Work under A.15.1 from its performance history, enacted Method, temporal extent, and containing System. Add F.6 afterward only when precise assignment-bound attribution is current. A short B.1.3 projection may omit an assignment identifier unused by its receiver only when every relation it consumes remains recoverable. An operation result binding says which value the application returned; it establishes neither production nor first existence of that value, publication, release, acceptance, nor a carrier. Open A.15.PROD or the publication patterns only when one of those separate questions is current.
Synthesis (design-time semantic fold). Compose exact input epistemes into a draft aggregate.
- Domain.
D_knowdesignates exact source epistemes and the governed ConstituentOf, UsageOf, ReferenceTo, evidences, derivesFrom, and collection-specific belongs-to relations that obtain among them, together with the mappings used by the fold. The graph represents those objects and relations; it does not make them obtain. - Result. One synthesized episteme whose claim content, exact EntityOfConcern, and effective reference scheme satisfy C.2.1. Its ClaimGraph integrates the retained conceptual and symbolic content; its provenance and SCR keep every contributing source and carrier traceable; and its provisional F/G/R values use the declared CL inputs. Gating: at M-mode only tuple placeholders are required; numeric scoring may be omitted (
[M-0/M-1]). At F-mode the tuple MUST be computable under the result's effective reference scheme ([F-*,L1+]). # [M/F]
Compilation (target-scheme fold). Map one synthesized episteme into one exact target reference scheme.
- Domain. One synthesized episteme and the exact target reference scheme used to read the compiled claims—for example, the scheme used by a journal, standard, or program specification. For every meaning that crosses semantic contexts, the fold also relies on exact source and receiving
SchemeSenseCellvalues, an obtaining F.9 Bridge, and a separately stated bounded-use claim; any relied-on use must pass A.10 or B.3. - Result. One compiled, target-scheme episteme with explicit mapping and loss information and a C.2.1 identity determined by its claim content, exact EntityOfConcern, and effective reference scheme. The result is not thereby a publication, release, carrier, or accepted artifact.
Relationship to Γ_ctx / Γ_time. If the knowledge fold explicitly depends on argument order (for example, a derivation), the internal fold uses Γ_ctx for the sequence. If a temporal storyline matters, first identify each exact episteme and any obtaining C.2.1 edition relation; then use B.1.4/Γ_time to aggregate only the recovered temporal restrictions, relation order, or applicability windows required by the use. Γ_epist composes exact selected episteme inputs, not a label-defined current slice. If the result changes claim content, EntityOfConcern, or effective reference scheme, C.2.1 identifies another episteme. Use B.2 only when exact construction facts leave a separate existing-whole versus candidate-new-whole question.
Invariant Standard (how the Quintet applies; math by level)
- IDEM (Idempotence). Folding a single episteme returns itself; no accidental “upgrade.”
- COMM/LOC (Local commutativity / locality). For independent subgraphs (no logical/evidential dependency), fold order/location is irrelevant; when dependencies exist, Γ_ctx controls order explicitly.
- WLNK (Weakest‑link bound). Aggregate Reliability (R) is bounded by the weakest supported link along any justification path, after considering the lowest CL on mappings used by that path.
- MONO (Monotonicity). Strengthening a part (raising R with valid evidence or raising CL on a needed mapping) cannot lower aggregate R. Adding contradictory evidence is not an improvement; it triggers conflict handling (below), not MONO.
Reliability fold. Along any support spine, R_raw = min_i R_i; apply congruence penalty Φ(CL_min) → R_eff = max(0, R_raw − Φ(CL_min)). No averaging; weakest-link. Math by level:
[M‑0/M‑1]allow ordinal comparisons only (no arithmetic on R); Φ may be stated qualitatively (“low/med/high”).[M‑2/L1]require a numeric Φ table (default in §4.4) and a reproducibility tag on empirical edges.[F‑*,L1/L2]require formal derivability of the fold rules from LOG‑CAL; constructive mode annotatesproof.kind=constructive. # [M/F]
Core rules for epistemic aggregation (design‑time synthesis)
When computing Γ_epist^synth(D_know):
1. Provenance preservation. The provenance/evidence graph is unioned with de‑duplication; every claim in the aggregate remains traceable to its sources and methods. No source, method, or dataset that supports a retained claim may be dropped.
2. SCR construction. Build a U.SCR that lists all symbol carriers (texts, code, figures, datasets) that materially participate in the aggregate. Provenance nodes must be mappable to SCR entries.
3. Object alignment. Identify the result's one exact EntityOfConcern. Reuse the same already identified entity when the inputs concern it. A governed least common ancestor in a domain taxonomy may support that identification, but the calculation does not create the entity. If the claim requires a collection, relation occurrence, or other joint subject, identify that entity under its direct pattern and show that its identity rule obtains. A list, dependency graph, shared label, or mapping cannot create a joint subject; if none is governed, stop with the missing composition governor instead of inventing a generic composite entity. Record the semantic mappings and their CL evidence summaries without silently merging homonyms.
4. Concept integration with CL penalty. Compute provisional F/G/R of the aggregate:
- F_eff = min(F_i) (formality is as strong as the least formal constituent actually used).
- G_eff = function of coverage; typically monotone in included scope, capped by weakest definitional fit.
- R_eff = min over justification paths of { R_i along the path } penalized by the lowest CL used by that path:
R_eff := max(0, min_path( min_claimR(path) − Φ(CL_min(path)) )), where Φ is the normative penalty function defined below. If a mapping with CL < threshold is essential to a path, mark the claim provisional. 5. Normative Penalty Function Φ (v1.0). The penalty functionΦquantifies the loss of reliability due to poor conceptual alignment between parts.
A domain profile MAY provide an alternative table but MUST preserve monotonic decrease (a lower CL cannot have a smaller penalty). The default values are derived from empirical fits in KD-CAL Bench 0.3.
6. Conflict detection (no averaging).
Detect contradictions (for example, p and ¬p with overlapping scope). Do not average. Either (i) separate them by exact claim scope or interpretation basis, (ii) mark the affected claim provisional with explicit conflict edges, or (iii) if exact construction facts leave a whole-reidentification question after the existing-whole explanation check, open B.2 for that separate question.
7. Handling of Axiomatic vs. Postulative Epistemes.
In alignment with ADR-028, the computation of R_eff depends on the episteme's declared mode.
- For an input episteme
E_iwithmode: axiomatic, empiricalRis N/A; takeR_i_eff = F_i. Tag:line=formal. #[F‑*] - For
mode: postulative, use declaredR_iwith decay; Tag:line=empirical. # [M‑1/M‑2/F] - The aggregate
E_effMUST also declare a mode. If all inputs areaxiomatic, the output isaxiomatic. If any input ispostulative, the output MUST bepostulative. - Constructive note. Under F‑constructive, equivalence claims use isomorphism/equivalence in the chosen UF library; CL=2 means proof‑reconstructed alignment, not mere model‑theoretic appeal. # [F‑constructive]
8. Order-aware arguments (optional). If the argument requires premise ordering, embed a Γ_ctx fold inside Γ_epist; record the OrderSpec for reproducibility (NC‑1..3). Gating: OrderSpec is recommended at M‑1 and required at M‑2/F. # [M‑1→F]
9. No costs here. Any compute/collection effort is Γ_work; attach references but do not mix costs into epistemic aggregation.
Core rules for target-scheme compilation
When computing Γ_epist^compile(E_synth, TargetScheme):
1. Reference-scheme bindings. # [M-1+]
Map every operative concept, unit, and claim into TargetScheme and record the exact mapping and its CL evidence summary. For a meaning that crosses semantic contexts, name the source and receiving SchemeSenseCell values, the obtaining F.9 Bridge, the proposed use, direction, use-specific rule, and permitted loss; establish reliance separately. C.2.1 identifies the compiled episteme from its resulting claims, exact EntityOfConcern, and target scheme. A changed identity discriminator identifies another episteme; it does not by itself open a whole-reidentification question.
2. Assurance baseline (gated). Recalculate the assurance tuple (B.3) under TargetScheme: F and R may change with formalization, mapping evidence, and loss; G is re-expressed in the target scheme's scope. Gating:
- [M‑0] narrative justification only;
- [M‑1] qualitative tuples allowed;
- [M‑2/L1] numeric tuple required;
[F‑*/L2]tuple and proof obligations on weight/penalty model selection. # [M/F]
3. Compilation trace. Produce the compiled episteme's SCR and the carrier hashes needed to reconstruct this application; at L2 require independent re-hash verification. This trace establishes neither publication nor release. # [M-1/L2] 4. Order/time hooks. If the compiled episteme includes an internal derivation, carry the OrderSpec. If it selects knowledge for a time-bounded use, name the exact C.2.1 episteme identity and link to the already recovered proper temporal restriction, edition relation order, applicability window, or B.1.4/Γ_time aggregation actually used.
Archetypal grounding (worked, didactic)
Episteme — Meta‑analysis into a guidance statement
-
Inputs (U.Episteme):
E₁randomized trial (R=0.84, F=3, G=medium),E₂observational study (R=0.55, F=2, G=wide),E₃mechanistic model (R=0.60, F=3, G=narrow). Mappings: dosage units (mg ↔ IU), outcome definitions (pain scale variants), each with declared CL (e.g., unit mapping CL=3, outcome alignment CL=2). -
Γ_epist^synth:
- Provenance preservation: all study protocols, datasets, analysis scripts listed in the SCR.
- Object alignment: “acute low‑back pain within 6 weeks” via taxonomy LCA; non‑aligned chronic cohorts excluded or mapped with low CL and flagged.
- Concept integration: compute provisional
R_effalong each justification path, penalized by Φ(CL_min(path)); aggregateR_effas the minimum over paths. - Conflict handling:
E₂contradictsE₁in a subgroup; kept as provisional with explicit conflict edge and scope note (different baseline severity).
-
Γ_epist^compile (target journal scheme): Map outcomes to the journal's required scheme through the exact sense mappings used by the fold, recalculate F/G/R with mapping penalties, and produce the compilation SCR and hashes. The result is the target-scheme episteme "Guidance Statement v1.0" with conservative
R; any later journal publication is a separate publication occurrence. -
Why not averaging? Averaging would inflate
Rand hide low‑CL outcome mappings; Γ_epist enforces pathwise min + CL penalty.
Episteme — Safety case from heterogeneous evidence
-
Inputs: requirement spec (F=3, R=0.7), hazard analysis (F=2, R=0.6), test logs (F=1, R=0.8), formal proof of controller property (F=3, R=0.9).
-
Γ_epist^synth:
- Provenance union; SCR includes requirements, proof carrier, test datasets.
- Concept integration: controller proof applies only under assumptions A; test logs violate A in edge case → CL low for mapping “test scenario ≡ proof assumption.”
R_effbounded by the weakest justification path after Φ(CL_min); claim on “system‑level safety” marked provisional until assumption alignment is demonstrated.
-
Γ_epist^compile (target certification scheme): Map the claims to the regulatory vocabulary. Where local meanings differ, identify exact source and receiving
SchemeSenseCellvalues, test the F.9 Bridge, state the bounded certification use and permitted loss, and establish any relied-on use separately. C.2.1 identifies the resulting target-scheme episteme; a certification publication occurrence or acceptance verdict remains separate.
Contrast (didactic)
Proof obligations (normative)
At synthesis (Γ_epist^synth):
- PO‑SYN‑PROV. The provenance/evidence graph MUST be preserved (union with de‑duplication); every retained claim is traceable to sources/methods in the SCR.
- PO-SYN-OBJ. The result MUST name one exact EntityOfConcern already identified under its direct pattern. If the synthesis depends on several inputs as a joint subject, its collection, relation, or whole identity MUST be independently governed; a list, graph, label, or mapping is insufficient. Every semantic mapping used by the fold MUST be declared with its CL evidence summary.
- PO-SYN-CL. Every semantic mapping used by the reliability fold MUST have a CL evidence summary; the chosen penalty Φ MUST decrease monotonically as CL rises. Thresholds for marking a claim provisional MUST be stated. The summary neither establishes an F.9 Bridge nor grants the mapped use.
- PO‑SYN‑R.
R_effMUST be computed as min over justification paths of (claim reliabilities along the path minusΦ(CL_min(path))). No arithmetic mean is allowed for reliability. - PO-SYN-CONFLICT. Contradictions MUST be separated by exact claim scope or interpretation basis, marked provisional with explicit conflict edges, or—only when exact construction facts leave a separate whole-reidentification question—sent to B.2.
- PO‑SYN‑ORDER. If order matters, the OrderSpec MUST be recorded and Γ_ctx NC‑1..3 (determinism, context hash, partial‑order soundness) MUST hold.
- PO‑SYN‑NOWORK. Resource spending, yields, and dissipation MUST NOT be computed here; instead, attach references to the aligned Γ_work composition.
At compilation (Γ_epist^compile):
- PO-COMP-SCHEME. The exact target reference scheme MUST be declared. Every active concept and unit MUST have an explicit mapping; a cross-context meaning use MUST name the exact F.9 Bridge, separate bounded-use claim, permitted loss, and any relied-on A.10 or B.3 result.
- PO-COMP-ASSUR. The assurance tuple (F/G/R) MUST be recomputed under the target scheme with the applied mapping and loss penalties.
- PO-COMP-SCR. The compiled episteme MUST retain an SCR with the hashes, versions, and dates required to reconstruct the application. This obligation does not assert release or publication.
- PO-COMP-ID. The output MUST be identified through its C.2.1 claim content, exact EntityOfConcern, and effective target scheme. A changed discriminator identifies another episteme. B.2 is opened only for an independently current existing-whole versus candidate-new-whole question, never as a substitute for this identity rule.
- PO‑COMP‑ORDER/TIME. If derivational order is essential, the OrderSpec MUST be referenced. If temporal selection is essential, name the exact C.2.1 episteme identity and reference the already recovered proper restriction, edition-relation order, applicability window, and B.1.4/Γ_time aggregation actually consumed.
Conformance Checklist (normative)
Anti‑patterns & repairs
Consequences
Benefits
- Auditability by construction. Every retained claim remains tied to its sources; SCR guarantees reconstructability.
- Safe synthesis. R cannot be inflated; CL penalties make conceptual misfit explicit.
- Target-scheme results. Compiled epistemes are aligned with one declared reference scheme; any release or publication remains separately governed.
- Didactic clarity. Separates semantic folding (Γ_epist) from order (Γ_ctx), time (Γ_time), spend (Γ_work), and emergence (B.2).
Trade‑offs
- Mapping overhead. Declaring mappings and CL costs time; it prevents silent incoherence.
- Conservative stance. Results may look pessimistic; this is deliberate (WLNK). Use B.2 only when exact construction and identity facts leave a genuine whole-reidentification question.
Rationale (informative)
- Epistemic composition is not physical addition. Reliability must be bounded by the weakest justified path, not averaged; conceptual misalignment must reduce confidence, not be ignored.
- Provenance is part of meaning. Dropping sources/methods changes what the episteme is; Γ_epist treats provenance and SCR as first‑class.
- Interpretation matters. Exact reference schemes and local senses prevent quiet reinterpretation. F.9 governs any cross-context Bridge; C.2.1 governs the resulting episteme identity.
- Parsimony with power. A small set of rules (provenance preservation, CL‑penalized pathwise min, order/time hooks, context discipline) is enough to model scientific and engineering knowledge without importing domain‑specific tool jargon.
Relations
- Builds on: C.2.1 (episteme identity and independently obtaining edition relations), A.6.1 (semantic operation declarations and exact application bindings), A.14 (ConstituentOf, collection belonging under each collection's own rule, and proper temporal restriction of one unchanged carrier), and A.15/A.15.1 (Strict Distinction and Work-temporal law). A.12 is used only when an acting-side distinction is current. An ordinary actor sentence needs no classification apparatus. Any particular dated synthesis or compilation
U.Workfirst reuses each performer's A.13 core and is independently admitted under A.15.1; F.6 follows only when the receiving claim also needs precise assignment-bound attribution. A short local projection may omit an assignment identifier unused by the receiver only when every consumed relation remains recoverable. - Coordinates with: B.1.1 dependency-structure and relation-grounding checks, B.1.4 (Γ_ctx/Γ_time inside knowledge folds), B.1.6 (Γ_work for compute/collection spend).
- Coordinates with: F.9 for exact cross-context Bridges and bounded-use claims; A.10 or B.3 for reliance; A.15.PROD when production, first existence, or completion is current; and E.17/E.24.PUB for publication, form, and carrier. B.2 is used only when exact construction facts leave a separate whole-reidentification question after the existing-whole explanation check.
- Used by: B.3 assurance uses
F/G/Rand CL baselines computed here as inputs to trust calculations.
One‑sentence takeaway. Γ_epist preserves provenance, penalizes poor conceptual fit, forbids reliability averaging, and makes context explicit—so that knowledge aggregates are conservative, auditable, and genuinely coherent.
B.1.3:End
Last Updated: 2026-08-30 — upstream FPF commit e400eab3 (github.com/ailev/FPF)