--- title: "Selection without optimization: navigation aids and glossary" author: "Équipe 4NK" date: "2026-02-18" scope: - v0/livre_jeune_adulte.md - v1/livre.md --- ## Objective Integrate the following editorial evolutions into the manuscript, without changing the underlying mathematical claims: - expand the formal framing of **selection without optimization** (Chapter 14) by making explicit what is (and is not) assumed when one talks about “optimization”; - improve navigation across layers and chapters using **dependency maps** at the beginning of each chapter; - clarify, in Chapter 11, the distinction between **signal** (what circulates) and **structure** (what constrains), and define a minimal criterion for “information support”; - add a **glossary** for redefined technical terms used in a precise sense. ## Impacts - Readers can identify, at chapter entry, what prerequisites are used and which layer(s) are activated ([E]/[M]/[P]/[D]). - Chapter 14 makes the separation explicit between: - elimination/filtration under constraints, - conditioning / renormalization under a declared probabilistic layer, - and decision/optimization when an objective and a choice rule are introduced. - Chapter 11 states, in-model, when a stable/transmissible structure becomes an information-bearing variable relative to an horizon \(\tau\) (ensemblist or probabilistic). - A glossary is available as a reference point for terms such as “futur accessible”, “verrouillage”, “compatibilité”, “signal”, “structure”. ## Changes - **Chapter 14** - add a “Critique formelle des modèles d’optimisation” subsection (separating comparability, objective, and choice rule); - add a “Persistance par nécessité structurelle” subsection (persistence defined as existence of compatible continuations, not as maximization). - **Navigation** - add a “Carte de dépendances” (Mermaid diagram) at the beginning of chapters 1–16. - **Chapter 11** - add a “Signal, support et structure” section with minimal definitions and an explicit criterion (stability/transmissibility + discriminative power on futures). - **Glossary** - add a `## Glossaire {#glossaire}` section before the annexes; - update the table of contents to include a “Glossaire” entry. ## Deployment notes - No runtime deployment. This is a documentation/manuscript change. - Ensure Mermaid rendering is available in the target Markdown renderer; otherwise, keep the diagrams as plain text blocks. ## Analysis / verification - Search for anchors and ensure the table of contents includes `#glossaire` and the corresponding `## Glossaire {#glossaire}` anchor exists. - Ensure each chapter contains exactly one “Carte de dépendances — Ch. N”. - Validate that Chapter 14 still uses the declared-layer discipline: - ensemblist statements do not assume a probabilistic kernel, - probabilistic statements are indexed by a declared \(P\).