p. 109
Transaction between the consciousness and the perception is shortly discussed, assuming a three-storied hierarchical structure of cognition, consciousness the top, perception the middle, sensation the bottom. Perception of a circle, fer example, expressed in the homogeneous eq. (2) is diversified into the complex formula zz°=0. Hence the complex vector z must be absolutly zero; that meams the circle in the perception spce is mapped out an point in the two-dimensional complex space (hyper surface). After above, it will be inferable that the point firmly symbolizes the consciousness of the circle.