The article analyzes the phenomena of a «personal knowledge » in the concept of M. Polanyi, investigating classic problem of object-subject interrelation in the cognition from the point of view of the latter one. It shows that a subject in the cognitive activity is not to be determined by objective regularities, but rather by a personality, as the result of cognitive activity depends on its qualities and abilities. The author fixes the most important levels of subjective organization of cognition: humanity, society, scientific society, personality.