E.2:4 - Solution
FPF rests on eleven binding pillars. Every artefact, pattern, and design-rationale record (DRR) must honour the applicable constraints and explain material conflicts. Together the pillars guide evolvability, cross-scale coherence and didactic clarity; their realization must be established for the particular use.
| ID | Pillar | Essence |
|---|---|---|
| P‑1 | Cognitive Elegance | Highlight decisive structure, eliminate ornamental formalism; separate data governance from thinking. |
| P‑2 | Didactic Primacy | Human comprehension outranks theoretical or tooling purity. |
| P‑3 | Scalable Formality | Strengthen formality as the use requires, preserving meaning and traceable grounds. A changed meaning may require an explicit rewrite or branch. |
| P‑4 | Open‑Ended Kernel | The Kernel contains only meta‑concepts; all domain knowledge lives in external patterns. |
| P‑5 | FPF Layering | Patterns are modular, declarative extensions that can be added, replaced, or removed without destabilising the core. |
| P-6 | Lexical Stratification | Every core concept is expressible in four registers: plain name, technical term, admitted U-kind or governed value name, and mathematical symbol. |
| P‑7 | Pragmatic Utility | Proofs, metrics, and models exist to achieve real‑world objectives; falsification is rewarded over confirmation. |
| P‑8 | Cross‑Scale Consistency | Preserve shared distinctions and state what composition preserves or loses across scales and bearers; qualify each algebra for its material-system, knowledge, or Method use. |
| P‑9 | State Explicitness | Make states, editions and transition conditions explicit when they change use or reliance. Keep transitions traceable and assess their cost and risk. |
| P‑10 | Open‑Ended Evolution | Keep justified improvement, revision, replacement and branching possible. Choose continuation under the use’s cost and safety constraints; permit retention, local stopping and retirement with explicit reasons and reopen conditions. |
| P‑11 | State‑of‑the‑Art Alignment | The kernel and extension domain-specific patterns track reliable contemporary knowledge and update when the SoTA advances. |
When a pillar-impact argument relies on mathematical structure, scale behavior, optimization, uncertainty, invariance, obstruction, or other first-principles modeling support, the applicable mathematical-lens use support path is C.29. The pillar claim remains governed by E.2; C.29 only states the mathematical lens, preserved and lost structure, admissible use, neighboring-pattern exits, and stop condition that make the pillar support inspectable.
Any DRR that contradicts a pillar must first amend this constitutional pattern.