Qualia, Consciousness, and Sentience: The Mathematical Turn [3/6]

Episode 3: The Mathematical TurnFocus: Integrated Information Theory (IIT) 4.0From Philosophy to Geometry: Moving beyond intuitions to a mathematical measurement of sentience.The Five Axioms: The self-evident properties of experience: Intrinsic Existence, Composition, Information, Integration, and Exclusion.Calculating Φ (Big Phi): The six-step pipeline for measuring a system's integrated information, including the Transition Probability Matrix (TPM) and the Minimum Information Partition (MIP).Zombies vs. Grids: Why feed-forward AI networks (like LLMs) are "perfect zombies" (Φ=0), whereas an inactive "silent grid" with recurrent feedback loops could be genuinely conscious.Empirical Testing: Reviewing the Cogitate Consortium results and the Perturbational Complexity Index (PCI) used to detect consciousness in clinical settings.