The main problem in the general problem of knowledge manipulation is the problem of determining the composition and content of the subject area for which this problem is being solved. It has been established that there are two fundamentally different approaches to solving knowledge manipulation problems. The first approach consists in the application of methods of automatic data processing using computers and corresponding algorithms based on the rules of formal logic to obtain new knowledge about objects in the subject area. For the first approach, the objects of the domain are precisely the physical objects of animate and inanimate nature in their existence, which have their characteristics and between which the corresponding relations are established. The second approach is to use the ability of the human intellect to measure things and their properties based on the laws of dialectical logic. The second approach is characterized by the cognition of knowledge about the activity of objects of living nature, primarily humans. In this case, computers are used, as a rule, to represent already established knowledge in an appropriate form. One such form of knowledge representation is a logical model of a Cartesian coordinate system. The analysis of this model has shown that the logical principle of its formation is the principle of the dialectical unity of the concepts of “general” and “unit”, which is used to form the composition and content of diametrically opposite coordinate axes from numerical sets. On the other hand, there are a significant number of logical models in which the composition and content of the elements of the sets that form the coordinate axes correspond to certain knowledge about human activity. These models also implement the principle of their formation in the form of a dialectical unity of the concepts of “general” “unit”, which is used to form the composition and content of diametrically opposite coordinate axes from the sets of which certain knowledge is. It should be noted that in each of the studied approaches to knowledge manipulation, the concept of “measure” is not applied. On the other hand, this concept is decisive in the formation of knowledge about human activities and their manipulation. The research of the properties of the logical model of the meta-knowledge measure has been carried out. For this model, the content of the concepts “measure of meta-knowledge”, “unit of measure of meta-knowledge” and “unit of measure of knowledge” is established. The graphical representation of the logical model of knowledge representation about human activity in the logical model of the meta-knowledge measure is the architecture of the matrix representation. The main advantage of this view is that it implements a many-to-many (M: N) relationship, which is prohibited in relational databases. The analysis of the level of compliance of the proposed logical model of the meta-knowledge measure with certain requirements for knowledge manipulation models is carried out. A high level of compliance with these requirements has been established. Taking into account the established properties of the architecture of the logical model of meta-knowledge, it is proposed to define this model in the form of a post-Descartes representation of meta-knowledge about the activity.