What question did this study set out to answer?

To mathematically formalize consciousness through integrated information theory and evaluate potential non-computable properties using algorithmic information theory.

August 19, 2026Open Access

IIT Formalizes Consciousness as Non-Computable Integrated Information (Φ) — E8 Intelligence Research

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Authors

ACAndrew Stewart Caldin

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Implication

Theoretical analysis formalizes consciousness through irreducible cause-effect power in complex systems, suggesting non-computable algorithmic properties without universal geometric constants.

Key Points

To mathematically formalize consciousness through integrated information theory and evaluate potential non-computable properties using algorithmic information theory.
Formulated integrated information (Φ) using effective information across minimum information partitions.
Applied Kullback-Leibler divergence to quantify irreducible cause-effect power between whole and partitioned probability distributions.
Integrated Kolmogorov complexity to assess non-computable properties via algorithmic integrated information.
Integrated information values remain strictly system-dependent without exhibiting universal fundamental constants, crystallographic symmetries, or geometric ratios.
Algorithmic information complexity formulations indicate that integrated cause-effect structures possess non-computable mathematical characteristics.

Cite This Study

Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a8563eb03308d306e2d7582 https://doi.org/10.5281/zenodo.21974059

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Implication

Theoretical analysis formalizes consciousness through irreducible cause-effect power in complex systems, suggesting non-computable algorithmic properties without universal geometric constants.

IIT Formalizes Consciousness as Non-Computable Integrated Information (Φ) — E8 Intelligence Research

Discussion

Member takes

Implication

Key Points

Cite This Study

IIT Formalizes Consciousness as Non-Computable Integrated Information (Φ) — E8 Intelligence Research

Discussion

Member takes

Implication

Key Points

Cite This Study

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