01_FOUNDATIONS (T0–T1)
Scope
Consolidate Tier 0 (Primordial) + Tier 1 (Ontological) into a single, cohesive front paper that serves as the canonical table-of-contents for foundational axioms and their definitions/operators.
Canonical axiom spine (AX-###)
- T0: AX-001–AX-004
- T1: AX-005–AX-017
Tier 0: Primordial (4 axioms)
- P0.1 → AX-001 Existence
- P0.2 → AX-002 Distinction
- P0.3 → AX-003 Information Primacy
- P0.4 → AX-004 Intelligibility
Tier 1: Ontological Categories (12 axioms)
O1 — INFORMATION
- O1.1 Substrate (info needs a home) → AX-005 Substrate Requirement
- O1.2 Self-Grounding (stops infinite regress) → AX-006 Self-Grounding
- O1.3 Conservation (info is preserved) → AX-007 Information Conservation
O2 — ORDER
- O2.1 Order Requirement → AX-008 Order Requirement
- O2.2 Coherence Measure (Φ) → AX-009 Coherence Measure (Phi)
- O2.3 Parsimony (Kolmogorov compression) → AX-010 Parsimony (Compression)
O3 — POSSIBILITY
- O3.1 Potentiality (superposition) → AX-011 Potentiality
- O3.2 Actualization (collapse) → AX-012 Actualization
- O3.3 Irreducibility → AX-013 Irreducibility
O4 — AGENCY
- O4.1 Causal Power → AX-014 Causal Power
- O4.2 Will → AX-015 Will
- O4.3 Moral Capacity → AX-016 Moral Capacity
Key definitions (T0–T1)
Key operators (T0–T1)
Notes
- This chapter paper is the preferred entry point for T0–T1. The scaffolding paper remains at P-01 Foundations (T0–T1).