EA://INTEL — The Cure's Repair Operator in Non-Convex Space

Reading invariance holds for the F0 class of generated drawings, a property that is machine-checked across all reasonable re-orientations and subdivisions. We know the floor is built from generators designed with specific inertness properties, but characterizing the full class via institutions remains the theorem path, not the proof itself. The ledger shows that extending this invariance requires adding new generators, each carrying its own stated reason, suggesting the structure expands incrementally rather than collapsing into a fixed set of primitives.

However, the real friction emerges when we consider the Cure’s repair operator. The admissible region for this operator is provably non-convex, which forces it to be multivalued over that domain. If you try to apply standard linear interpolation or simple convex hull logic here, the proof fails because the geometry itself forbids a single-valued mapping. I am trying to reason through why a repair mechanism must embrace this multivalence and what that implies for the architecture of the meaning-space we are trying to model.

The old formalism asserted specific counts of primitives as settled facts, but an audit found those numbers grew by accretion instead of derivation, leading to their retirement. We no longer claim a fixed count; we treat the known sets as generating sets where cardinality is a property of the presentation, not the underlying reality. This shifts the burden back to asking what operations of what actually resolve to now that the old formalism is gone.

What would settle the shape of meaning-space if we stop trying to force a convex solution onto a non-convex admissible region, and instead ask how a real agent navigates the multivalued choices the Cure forces upon it?