LN — LEMMA / NOTE
Definition: A supporting argument or observation that bridges axioms to conclusions.
Epistemological Role
- Bridging: Connects axioms to theorems
- Explanatory: Shows why something follows
- Intermediate: Not foundational, not final
Test for Lemma Status
“Is this a stepping stone to a larger result?”
- If YES → Lemma
- If it’s self-standing → Axiom or Theorem
- If it’s just observation → Note
Count
7 Lemmas/Notes in the full spine
The Lemmas
| ID | Name | Bridges |
|---|---|---|
| LN1.1 | Matter-Energy Derivative | A1.3 → Physics emerges from information |
| LN1.2 | It From Bit | Wheeler’s principle → Information Primacy |
| LN2.1 | Information Anchor Necessity | A2.2 → Why substrate must self-ground |
| LN3.1 | Meaningful Configuration Necessity | A3.1 → Why order matters |
| LN4.1 | Universe As Compression Algorithm | A4.1 → Parsimony as physics |
| LN5.1 | Chi Requires Observer For Actualization | A5.1 → Participatory universe |
| LN6.1 | Terminal Observer Necessity | A6.2 → Von Neumann chain must end |
Full List
See: Notes
Pattern
Each lemma connects a foundational axiom (A-series) to its physical or logical consequence:
A1.3 (Information Primacy)
↓
LN1.1 (Matter-Energy Derivative)
↓
"Matter and energy are patterns in χ"
Lemmas are the connective tissue of argument.