Explore a categorical formulation of Predictive Processing (PP) and Active Inference in this 23-minute conference talk from the Models of Consciousness Conferences. Delve into how category theory can be applied to provide a principled framework for understanding cognition at both organism and neuronal levels. Discover how monoidal categories and string diagrams are used to graphically represent key concepts of PP, including generative models, predictions, inference, and free energy. Learn about the connections between this approach and previous work on the Integrated Information Theory (IIT) of consciousness, enabling a comparative analysis of both theories. Gain insights into how this categorical formulation clarifies and potentially generalizes the core ideas of Predictive Processing and Active Inference.