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THE CONSCIOUSNESS ATLAS
Read. Experiment. Follow the evidence.

ConsciousnessLearn · Explore · Joseph Anady

Unity-centered proximity score

Assign a score of one at z=1 and decrease it as the absolute distance from one increases. For finite real z the score lies in (0,1]. It is a simple proximity function rather than a causal integrated-information calculation.

Cross-project equation postersource graphic; not an execution result
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Start with the symbols, follow the operations, and check what the result means.

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poster-eq-b2c3ffb7484163mathematical expression
Φ(z)=11+∣z−1∣\Phi(z)=\frac{1}{1+|z-1|}

Read the equation

Assign a score of one at z=1 and decrease it as the absolute distance from one increases. For finite real z the score lies in (0,1]. It is a simple proximity function rather than a causal integrated-information calculation.

Its role in the build

The Megamind Equation Atlas

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 Φ(z) as the quantity being defined or updated by this relation.

  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

  • The source uses Φ for several different concepts. Equal notation alone does not make this scalar score the integrated information in another equation.

Original context

Read the surrounding source passage
The Megamind Equation Atlas: Assign a score of one at z=1 and decrease it as the absolute distance from one increases. For finite real z the score lies in (0,1]. It is a simple proximity function rather than a causal integrated-information calculation.
Exact original notation
Φ(z) = 1 / (1 + |z − 1|)

Related builds

Sources & provenance

01
Megamind equation atlas infographic.png
Supporting formulas: unity-score box; verified transcript lines 305–311 · Jul 10, 2026
Φ(z) = 1 / (1 + |z − 1|)

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