2021/08/03 by Sophie Alyx Taylor, Taylor, Sophie Alyx, Son Cao Tran +4
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · Neuroscience · Physics and Astronomy · #Artificial Intelligence (cs.AI) #Biological Physics (physics.bio-ph) #Category Theory (math.CT) #Cognitive Science and Education Research #FOS: Biological sciences #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Neurons and Cognition (q-bio.NC) #cs.AI #math.CT #physics.bio-ph #q-bio.NC
paper · pdf · doi:10.48550/arxiv.2108.01229
arxiv created 2021/08/03 · openalex publication_date 2021/08/03 · arxiv updated 2021/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The study of complex systems through the lens of category theory consistently proves to be a powerful approach. We propose that cognition deserves the same category-theoretic treatment. We show that by considering a highly-compact cognitive system, there are fundamental physical trade-offs resulting in a utility problem. We then examine how to do this systematically, and propose some requirements for "cognitive categories", before investigating the phenomenona of topological defects in gauge fields over conceptual spaces.