When and Where Conceptual Maths Equals to Conceptual Modeling: Reasons for Using in Cognitive Modeling

The means and constructions of conceptual mathematics that are most closely related to conceptual modeling are selected. This selection is made in full accordance with the doctrine of computational thinking. An example of a construction representing the processability of individuals and concepts is given. It is shown that functors and natural transformations can serve as a basis for the subsequent construction of non-standard conceptual modeling based on variable domains. On the basis of conceptual mathematics, a conceptual framework of cognitive modeling has been laid, which allows taking into account the stages of knowledge and the transitions between them. It turns out that using conceptual mathematics, one can express cognitive maps.