Redefining Geometry and Perception

This chapter explores the emergence of non-Euclidean geometries and their impact on mathematical understanding, highlighting the transition from rigid axioms to more flexible geometrical frameworks. It emphasizes how perception of space is influenced by various factors, including individual circumstances and ecological contexts, challenging traditional views of objective spatial relationships. The discussion also connects these ideas to philosophical and neuroscientific insights, showcasing the intricate relationship between geometry, perception, and the processing of visual information.