Fpf problem solving

First Principles Framework (FPF)

An "Operating System for Thought" — a transdisciplinary architecture for reasoning, written in human- and machine-readable pseudo-code. FPF turns raw intelligence (human or machine) into organisationally usable reasoning: explicit bounded contexts, auditable artefacts, multi-view descriptions, and disciplined hand-offs between specialised actors.

Use cases

Use FPF whenever you need to think more rigorously than the situation's default.

• Decompose a messy, cross-domain problem into parts that can be reasoned about independently
• Make a high-stakes decision with incomplete evidence — and know what evidence is still missing
• Get a mixed team to reason together without vocabulary collisions or hidden assumptions
• Audit whether a conclusion is well-founded or just plausible
• Transfer an insight across domains without losing precision or introducing category errors
• Structure a proposal that must survive scrutiny from multiple expert perspectives
• Generate alternatives systematically instead of anchoring on the first idea
• Define what "better" means before comparing options
• Classify what kind of problem you're facing before searching for solutions
• Plan how an AI agent should select and sequence its tools under budget and trust constraints
• Make a decision under uncertainty — identify options, weigh evidence, and commit with an auditable rationale
• Establish whether X causes Y — or just correlates — and determine what intervention would work
• Publish a stable multi-view artifact without changing the source semantics
• Refresh a SoTA pack, benchmark, or evidence trail when evidence decays or telemetry changes
• Synthesize architecture candidates, compare structural options, or repair modularity/reuse claims
• Detect an ontic candidate, decide its first-use disposition, and govern whether a new concept or U-kind should be introduced instead of just renamed
• Identify the exact system that acts or is intended to change, then trace a lost path from outside use to architecture, production, and recursive builders
• Apply one selected FPF pattern to a current question and stop at the first useful result

How to navigate

The use cases above help decide WHETHER to invoke FPF. The router below decides WHERE to go once invoked.

Step 1 — Match the thinking need to a starting point

What you need to do	Start here
Decompose a complex whole into bounded parts	05 Part A → A.1 Holons, A.1.1 Bounded Contexts, A.14 Mereology
Identify and trace the acting or changed system, then find the first unsupported dependency from outside use through recursive builders	05 Part A → A.1.SCR System Recognition, A.1.STM System-Thinking Long Mantra; 03 FPF Readme → Recover a Lost Path
Assign roles and responsibilities, check permission, or distinguish production work from the identity and completion of its product	05 Part A → A.2 Roles, A.2.8.PER Permission; 07 A.V → A.15 Role-Method-Work Alignment, A.15.PROD Production Work
Recover what project, process, or case language directly refers to before modeling it	07 A.V → A.15.6 Project, Process, and Case Recovery
Set boundaries on what statements mean, distinguish relations from their individuated occurrences, or derive a missing relation claim	06 Signature Stack → A.6.B boundary norms, A.6.REL relation obtaining and occurrences, A.6.RCD relation-claim derivation, declarations, gates, duties, and evidence
Prevent category errors or reconcile ontology premises before extending the framework	07 Constitutional Principles → A.7 Strict Distinction, A.7.1 Consequence-Guided Ontological Problem Solving, A.7.2 Premise Reconciliation, A.7.CP Constructive Premise Compact
Evaluate confidence in a claim or artifact — including formality, scope, and reliability of the underlying knowledge	08 Part B → B.3 Trust & Assurance; 09 Part C → C.2 KD-CAL / F-G-R scoring, C.2.2 Reliability, C.2.3 Formality
Compose parts into wholes preserving properties	08 Part B → B.1 Gamma algebra; 09 Part C → C.13 Compose-CAL, C.20 Discipline-CAL
Reason through a problem systematically	08 Part B → B.5 Reasoning Cycle, B.5.2 Abductive Loop
Apply one selected FPF pattern to a working situation and obtain the first useful result	11 Part E → E.11.PUA Pattern Use in a Working Situation and First Useful Result
Generate alternatives / explore solution space and keep apparatus use bounded	09 Part C → C.17 Creativity-CHR, C.18 Open-Ended Search, C.19 Explore-Exploit, C.19.2 Use-Bounded Apparatus Application
Measure and compare options rigorously	07 A.V → A.17-A.19 Characteristics, CSLC & SelectorMechanism; 09 Part C → C.16 MM-CHR; 13 Part G → G.9 Parity / Benchmark Harness
Resolve conflicts across stakeholders or values	10 Part D → Ethics, bias audit, conflict optimization
Unify vocabulary across teams or domains	12 Part F → concept sets, bridges, UTS, lexical continuity
Document for multiple audiences, render structure into narrative, or stabilize a publication unit	06 A.IV.A → A.6.3.NAR Structure-to-Narrative Rendering; 11 Part E → E.17 Multi-View Publication Kit, E.17.EFP Explanation Faithfulness, E.17.AUD PublicationUnit Stability
Sharpen expression — repair vague wording, recover exact method/work relations hidden by input-result-handoff language, surface ambiguity, or restore precision of epistemic / measurement / architecture terms	06 A.IV.A → A.6.P.WMR Exact Relation Recovery, A.6.H Wholeness Unpacking; 11 Part E → E.10.ARCH, E.17.EFP; 09 Part C → C.2.P, C.16.P, C.30.P
Decide under uncertainty — structure options, weigh evidence, commit with auditable rationale	09 Part C → C.11 Decsn-CAL
Reason about time and change — distinguish state readings, trends, currentness, and intervention-sensitive change	09 Part C → C.27 Temporal Claim Adequacy, C.27.TA Temporal Aspect
Establish causality — climb the causality ladder, identify causal structure, check realizability	09 Part C → C.28 CausalUse-CAL
Check mathematical or modeling fit — assess whether a formal lens / math model is adequate for the problem	09 Part C → C.29 Mathematical Lens Use
Describe architecture or structural views — characterize structure, unfold constraint-governed structure, produce adequate architectural descriptions and view types, triage cross-scope architectural residuals	07 A.V → A.22 STRUCT-CAL, A.22.CGUS; 09 Part C → C.30, C.30.AD, C.30.ASV, C.30.LCA, C.30.ILC, C.30.TFS-REL
Connect transformation flows without collapsing independent structures into one flow or project	11 Part E → E.18.NET Network of Transformation-Flow Structures
Synthesize architecture candidates or decisions — move from problem to structure, assess modularity/reuse, and publish ADR-style projections	09 Part C → C.31 Modularity, C.32 Architecture Candidate Synthesis, C.32.P2S, C.32.PAD, C.32.ADR, C.32.ADA
Assess structural information — check architecture capture, source return, equivalence, morphisms, or discovery adequacy	09 Part C → C.33, C.34, C.35
Model context-dependent or indeterminate states — represent superposed, probe-coupled, or viability-bounded behaviour	09 Part C → C.26 Quantum-Like Modeling Lens, C.26.1 Probe-Coupled Boundary, C.26.2 Enacted Distributed State, C.26.3 Viability-Envelope
Survey a discipline and build, ship, or refresh a reusable toolkit	13 Part G → G.1-G.13 SoTA kit, CG-Frame, dispatcher, benchmarks, shipping, telemetry refresh, dashboards, external interop; 09 Part C → C.21 Discipline-CHR
Classify a problem type or state exactly what is problematic for whom before solving	09 Part C → C.22 Problem-CHR, C.22.PFR Problematic-For Relation, C.3 Kind-CAL (typed reasoning)
Define quality attributes ("-ilities") as structured bundles	09 Part C → C.25 Q-Bundle; 07 A.V → A.17-A.19 Characteristics
Govern ontology — detect an ontic candidate, decide its first-use disposition, and determine whether a new concept or U-kind is warranted	11 Part E → E.24 Ontic Introduction Discipline, E.24.CD Ontic Candidate Detection and First-Use Disposition, E.24.UK U-kind Admission and Ontic Settlement
Reason about cultural evolution — describe cultural-evolution engineering or repair cultural-evolution wording	09 Part C → C.36 Cultural Evolution, C.36.P Precision Restoration
Orchestrate agentic tool use under budgets and trust gates	09 Part C → C.24 Agent-Tools-CAL
Trace provenance of a claim or detect refresh debt	07 A.V → A.10 Evidence Graph; 13 Part G → G.6 Provenance Ledger, G.11 Telemetry-Driven Refresh & Decay

For complex problems, follow paths across multiple sections — the router shows where to start, not where to stop.

Step 2 — Read the _index.md, then the sub-section

1. Open the _index.md of the target section folder — it lists all sub-sections with line counts and descriptions.
2. Read only the specific sub-section file you need.
3. Do NOT load entire sections. Pick the narrowest file that serves the user's question.

Step 3 — Apply in plain language

Use plain language for the user. Introduce FPF-internal names (U.Holon, Gamma, F-G-R) only when they add precision the user needs.

Step 4 — Compose findings across sections

When a problem draws from multiple sections:

1. State each pattern's contribution in one line (e.g., "Bounded Contexts gives us the parts; Trust Calculus scores our confidence in each").
2. If patterns from different sections appear to conflict, check for category errors via A.7 Strict Distinction — the conflict is usually a level confusion (role vs. function, method vs. work), not a real contradiction.
3. Synthesize in natural order: decomposition first (what are the parts?), then evaluation (how confident are we?), then resolution (what do we do about gaps?).
4. Do not just list FPF patterns — weave them into a coherent answer to the user's actual question.

Starter prompt (example — adapt to the user's actual role and need)

You have the FPF specification loaded. Help me structure my project / problem / programme. Use plain language for an engineer-manager. Propose: (1) bounded contexts / specialisations, (2) decision criteria, (3) key alternatives, (4) hand-offs, and (5) missing evidence or tests before commitment. Introduce internal FPF names only when they add precision.

Section INDEX

Structural reference. Each entry is a folder — read its _index.md first, then pick the sub-section.

#	Section	Sub	When to use
01	Title page	0	Identify: title, authorship, version date, top-level identity.
02	Table of Content	0	Navigate: locate a pattern, keyword, query cue, dependency, or neighboring section.
03	FPF Readme	9	Onboard and recover: understand what each part contributes, when several transformation flows form one network, and how to recover a lost path from outside use to recursive builders.
04	Preface	21	Orient: read philosophy, adoption storylines, uncertainty posture, and purpose/non-goals.
05	Part A — Kernel	24	Decompose, identify, trace, assign, and authorize: holons, bounded contexts, acting/changed-system recognition, outside-use dependency tracing, roles, permission distinctions, transformers, method/work separation.
06	A.IV.A — Signatures	27	Set boundaries, derive relations, and render: distinguish relations from occurrences; recover exact method/work and under-specified service/access relations; derive needed relation claims; classify statements as definitions, gates, duties, evidence, signatures, semantic repairs, or faithful structure-to-narrative transformations.
07	A.V — Principles	42	Prevent confusion and recover direct subjects: category errors, ontology premises, project/process/case language, production-work identity and completion, measuring, comparing, evidence graphs, mechanism suites, flow constraints, gate profiles, constraint-governed unfolding.
08	Part B — Reasoning	25	Compose and evaluate: structural views (STRUCT-CAL), aggregation (Gamma), trust scores, emergence, reasoning cycles.
09	Part C — Extensions	75	Score, search, and architect: epistemic quality, typed reasoning, problem-for relations, measurement, decisions, bounded apparatus use, agentic tool-use, quality bundles, temporal/causal/math lenses, architecture synthesis, structural adequacy, cultural evolution.
10	Part D — Ethics	5	Resolve conflicts: ethical trade-offs, bias auditing, safety overrides, conflict optimization.
11	Part E — Constitution and Authoring	58	Apply, govern, and publish: practical-use guidance, first-useful-result pattern application, framework forms and carriers, lexical discipline, multi-view publication, transformation-flow structures and networks, pattern quality, ontic/U-kind governance.
12	Part F — Unification	21	Align vocabulary: concept sets, sense cells, bridges, role descriptions, UTS, lexical continuity.
13	Part G — SoTA Kit	15	Harvest and refresh disciplines: SoTA Packs, CG-Frames, dispatchers, provenance ledgers, benchmark harnesses, shipping, telemetry refresh, dashboards, external interop.
14	Part H — Reserved	0	Reserve: preserve the upstream Part H position for future specification content.
15	Part I — Annexes	1	Walk through: expanded entry disambiguation cases for high-risk or repeatedly misclassified first-pattern choices.