Additivity of Measures of Consciousness on Sigma-Algebras of Independent Systems - An Example from Expected Float Entropy Minimisation

Explore a 20-minute conference talk from the Models of Consciousness Conferences examining the mathematical properties of formal measures of consciousness, particularly focusing on their behavior with independent subsystems. Delve into the application of Measure Theory principles to consciousness science, analyzing how measures like Integrated Information Theory's structure integrated information relate to mathematical measure definitions. Learn how formal consciousness measures should handle finite systems with independent components, such as ant colonies, using sigma-algebra and power set concepts. Discover how the Expected Float Entropy Minimisation (EFE) model's Mu function can be adapted to create a mathematically valid measure, while considering its validity as a consciousness metric. Gain insights into the intersection of mathematical rigor and consciousness quantification through this theoretical exploration of measure additivity in consciousness science.