lin-0012

The foundations trail

The foundational chapters form a dependency graph rather than a list of independent topics.

One recommended route through the foundations. Causality and decision making are distinct interpretations of tangent structure; their chapters communicate without being identified.
Figure 3 One recommended route through the foundations. Causality and decision making are distinct interpretations of tangent structure; their chapters communicate without being identified.

Chapters

Main object introduced

Question answered

Reader should retain

0–1

categorical language and universal obstruction

what is declared before a loss is chosen?

structure, observer, and scalarization have different types

2–3

six-stage workflow and learning sketch

how does a failed declaration become an operational signal?

factorization failure precedes diagnosis and repair

4

tangent learning sketch

how does a failure change under an admitted local probe?

infinitesimal non-compositionality is directional and typed

5–7

infinitesimal causality, databases, and decisions

when does tangent structure acquire causal, persistent, or decision semantics?

grounding, bracket enrichment, and decision relevance are additional declarations

8

differentiable realization

how can typed diagrams be compiled into layered learners?

architecture, differentiation, and optimization remain distinct

9

quotient, localization, repair, and admission

how is a structural change governed?

null variation, diagnosis, authority, and validation must be separated

10

CoLT reasoning state and transition record

how does governed repair become an auditable reasoning process?

only certified admission changes the maintained state