Enriched Categories Applied to Qualia Spaces

Explore the application of enriched category theory to consciousness studies in this Oxford seminar that critically examines Tsuchiya and Saigo's categorical approach to modeling qualia structure. Delve into how category theory can formalize relationships between experiences, particularly focusing on their use of enriched categories to model qualia structure based on similarity judgments in color perception. Investigate the controversial claim that Yoneda's Lemma can characterize a quale through its relationships to all other qualia, and evaluate whether this categorical consciousness framework holds theoretical validity. Address three fundamental questions: what types of relations can form an enriched category, whether the categorical approach to consciousness is sound, and what other applications enriched category theory might have in consciousness research. Gain insights into the intersection of advanced mathematical structures and phenomenological experience, examining both the potential and limitations of using category theory as a foundation for understanding consciousness and subjective experience.