G4.3 — Common Ground
[o0k7m95n-i03p-0k08-jmm1-4l8o7k5n9p03] | P1 | Axiom | Common Ground
Mathematical and moral truth share a common ground.
Ring 2 — Canonical Grounding
Ring 3 — Framework Connections
1. Formal Statement
The “Rightness” of a mathematical equation (accuracy) and the “Rightness” of a moral act (justice) are manifestations of the same underlying principle of Coherence. “Math is Moral.” The source of reality does not distinguish between logic and ethics; both are expressions of its perfect integrity.
2. Type Classification
🟢 Primitive — It asserts the unity of the transcendental properties (Truth, Goodness, Beauty).
3. Justification
The “Cupcake Proof” (Paper 0) demonstrates that children recognize mathematical inequality and moral injustice simultaneously. They are not using two different faculties; they are using a single faculty of Coherence Recognition. The common source ensures that logical truth and moral goodness never contradict each other.
4. The Logic Chain
- Deception Wrong (G4.2)
- Common Ground (G4.3) (this axiom)
- The common ground is identified.
- Logos (G5.1)
Canonical Hub: CANONICAL_INDEX