Editing Integrated Information Theory and the Mathematics of Mind (section)

== <span style="color: #FFFFFF;">Applying</span> ==
'''Modeling 'The Phi Calculation' (A Simplified Model of Integrated Information):'''
<syntaxhighlight lang="python">
def calculate_phi_simple(node_connections):
    """
    A simplified model showing how 'Integration' creates Phi.
    """
    # In a truly integrated system, removing any partition destroys information
    # Phi ~ how much information is shared across the 'minimum information partition'
    total_connections = sum(node_connections)
    nodes = len(node_connections)
    
    # If all nodes connect only to themselves, Phi = 0 (no integration)
    max_connections = nodes * (nodes - 1)
    phi_score = total_connections / max_connections if max_connections > 0 else 0
    
    if phi_score > 0.7:
        return f"PHI: HIGH ({round(phi_score, 2)}). System is likely Conscious by IIT."
    elif phi_score > 0.1:
        return f"PHI: MODERATE ({round(phi_score, 2)}). Some integrated experience exists."
    else:
        return f"PHI: ZERO ({round(phi_score, 2)}). No integration. No consciousness (like a feed-forward AI)."

# Case: A small brain-like network with dense cross-connections
print(calculate_phi_simple([3, 4, 3, 4, 2]))
</syntaxhighlight>

; Theory Landmarks
: '''Tononi (2004)''' → The "Original" **IIT 1.0** "Paper": "Mapping" "Consciousness" to "Information Integration."
: '''IIT 3.0 (2014)''' → "The Refined" "Axiomatic Framework" with "Formal Definitions" of **Phi** and "Qualia Space."
: '''The 'Crick-Koch' Bet (2023)''' → A 25-year "Wager" between "Two Neuroscientists" on "Whether" **IIT** or **GWT** (see Article 711) would "Prove Correct": "The First" "Formal Empirical Test" of "Theories of Consciousness."
: '''Neuropixels Phi Mapping''' → "The Current" "Frontier": "Computing" **Phi** "Across" "Millions of Neurons" to "Find" "The Source" of "Human Consciousness."
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