The universal law of invariant transformations in space of contrary and contradictory logical forms

The article describes the features of the human mind in constructing logical categories and his ability to construct reality, which constitutes itself in the form of a network of interrelated logical categories belonging to contrary or contradictory type, based on the concept of constructivism. Consideration of the relationship between grammatical and logical forms leads to the understanding that the latter can manifest itself as combinatorial - topological structures that are well modeled by the trigrams and hexagrams of the ancient Chinese symbolism of the Book of Changes (I Ching). The use of such symbolism allows to identify linkages between structures, hidden in the analytical record through the expressive means of hexagrams. Subsequent application of operations of contrary and contradicting type allowed to identify four types of invariant transformations that are combinations of contrary and contradictory relations in a model space with a basis of two opposite elements, indicating new, previously hidden ontology of reality. In this ontology, invariants are not represented by objects but with transitions between different states, connecting contrary characteristics with contradictory ones. Examples from various fields of knowledge illustrate the fundamental role of a quad-state in a variety of real world processes.