I put forward an alternative to the language-of-thought hypothesis for geometry, the Wanderers Hypothesis for Geometry: Human geometry may originate from the interaction between ancient, navigation-like mental processes that approximate Euclidean geometry and our human capacity for natural language.
Moira (Molly) Dillon
Online Now: The cognitive origins of geometry
Geometry is often considered the paradigmatic model of abstract thought, with thinkers since at least Plato exploring its origins. A dominant hypothesis posits that a specialized, modular language of thought underpins our species’ unique geometric abilities. Challenging this view, I propose the Wanderers Hypothesis for Geometry, which suggests that human geometry is primarily rooted in navigation-like mental processes shared by humans and nonhuman animals and that these processes approximate Euclidean geometry. Drawing on infant studies, cross-cultural experiments, and cognitive modeling, I argue that humans access these primitive processes through natural language, enabling flexible application and supporting our capacity for formal learning. This perspective broadens our understanding of geometric cognition and the nature of the human mind.
