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Phi (Integrated Information)

The mathematical quantity at the heart of IIT — measuring the information a system generates as a whole above and beyond the information generated by its parts in isolation, and claimed by Tononi to be consciousness itself.
Phi (Φ) is the single number IIT uses to quantify consciousness. It measures integrated information: the amount of cause-effect information a system generates as an irreducible whole, above and beyond what its parts generate independently. Computed by partitioning the system and measuring information loss across the minimum information partition, phi equals zero when a system can be cleanly decomposed into independent components and grows as the system becomes more densely interdependent. A system with high phi has vivid, unified, differentiated experience. A system with zero phi is dark inside, no matter how sophisticated its behavior. Phi is substrate-independent — it depends on causal structure, not material composition.
Phi (Integrated Information)
Phi (Integrated Information)

In The You On AI Field Guide

Phi operationalizes two concepts that are simple in isolation and revolutionary in combination: differentiation and integration. Differentiation refers to the specificity of a system's states — the size of the repertoire of possible configurations it can occupy. A million-pixel camera sensor

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