Abstract
This study analyzes the mathematical structure of the Fararo-kosaka model (1991) and attempts to explain the dynamic mechanisms concerning image of stratification. Kosaka & Fararo (1991) and Shirakura & Yosano (1992) try to grasp the structure of how the image of stratification is distributed, using combination theory or models of wave composition. In this article, the F-K model is formalized using probability theory, and the structure is explained as a problem of convolution. Using central limit theory, this analysis proves that the distribution of image of stratification approximates normal distribution in a large number of class dimensions. From this finding, two axioms are postulated. First, the image of stratification is distributed symmetrically and opens downwards generally. Second, under general conditions, the distribution curve concentrates as dimensions increase. From these axioms, a paradoxical mechanism that homogenizes class identification can be inferred. The second of these axioms the dynamics of Japanese identification in the middle class for the last four decades.