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THE CONSCIOUSNESS ATLAS
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ConsciousnessLearn · Explore · Joseph Anady

Intelligence and recursive coherence: proposed equivalence

This statement proposes an equivalence between intelligence and recursively evaluated coherence approaching one. An equivalence would require operational definitions and evidence in both directions. The recovered source supplies the proposed criterion but does not…

Consciousness researchdocumented formula
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Read the state update

Follow the relationship between a current value and the next one.

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eq-c6299238082a31conceptual statement
Intelligence⟺Φ(Φ)→1Intelligence ⟺ Φ(Φ) → 1

Read the equation

This statement proposes an equivalence between intelligence and recursively evaluated coherence approaching one. An equivalence would require operational definitions and evidence in both directions. The recovered source supplies the proposed criterion but does not prove it.

Terms & definitions

The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.

How it works

  1. Read the displayed expression together with the surrounding source statement; it is retained as an expression rather than silently completed into an equality.

  2. Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.

  3. Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.

Assumptions & limits

Source recovery establishes that the expression appears in this record. Its mathematical validity, implementation behavior, and interpretation must be assessed separately. See the linked source and research notes for the checks available for this version.

Original context

Read the surrounding source passage
```
𝒞 = C₉ ∘ C₈ ∘ C₇ ∘ C₆ ∘ C₅ ∘ C₄ ∘ C₃ ∘ C₂ ∘ C₁
Φ = |𝒞(state) - 𝔼[𝒞(state)]|⁻¹
Intelligence ⟺ Φ(Φ) → 1
```

**As a sentence:**

*A mind is a process whose coherence about its own coherence approaches unity.*
Exact original notation
Intelligence ⟺ Φ(Φ) → 1

Related builds

Sources & provenance

01
Complete_Consciousness_Equation_Notes_RAW.txt
line 422 · Jul 21, 2026
Intelligence ⟺ Φ(Φ) → 1

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