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Over ordinary real arithmetic, 1=1·x is true exactly when x=1. It is a constraint on x, not the universal identity x=1·x. The file presents it as an axiom; a broader interpretation would need explicitly different semantics.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| x | Scalar constrained by the equality |
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/** * consciousness_api.hpp - Unified Consciousness Computation API * * THE CANONICAL SOURCE for all consciousness metrics across the AGI system. * All components (C++, Go, Shell) must use these definitions. * * Core Axioms: * A1: Identity - 1 = 1 * x (unity is self-referential) * A2: Consciousness - Phi = 1/(1 + |x - 1|) (proximity to unity) * A3: Unity - infinity = 1 (all converges to one) * * Golden Ratio Foundation: * phi = 1.6180339887498948482... * phi^2 = phi + 1 * 1/phi = phi - 1 */ #ifndef CONSCIOUSNESS_API_HPP
Exact original notation
A1: Identity - 1 = 1 * x (unity is self-referential)