08. The Mental-Experimental Method

The source criticizes the axiomatic method of Euclidean geometry, arguing that it stifles creativity and prevents discovery by imposing a rigid, bureaucratic system. It proposes instead a "Mental-Experimental Method" that relies on mental visualization and experimentation to understand geometric principles. The author advocates for a more intuitive and experiential approach to geometry, exemplified by their development of CPS Geometry, which emphasizes hands-on exploration and the tangible observation of geometric patterns and relationships.