Effective Logical Competence for People Centered Education and Creativity

According to Piaget, human adults normally know how to use properly classical propositional logic. Piaget also showed that the integration of algebraic composition and relational ordering in formal logic is realized via the mathematical Klein group structure. The Klein group structure generates squares of opposition, and an important component of human rationality resides in the diagram of the squares of opposition. But the formal rationality provided by the squares is not spontaneous and therefore, should not be easy to learn for adults. This is the main reason why we need reliable and effective training tools to achieve full logic proficiency and predicative competence, like the Elementary Pragmatic Model (EPM). Since the new millennium EPM application areas have been extended even to engineering problems like user modeling, constraint requirements elicitation, software system development, etc. EPM extension as "Evolutive Elementary Pragmatic Model" (E2PM) represents the latest contribution to traditional EPM modeling and simulation, offering an example of new forms of interactive and evolutive behavior by inter and trans-disciplinarity modeling (e.g. strategic foresight, uncertainty management, embracing the unknown, creativity, etc.) for the children of the Anthropocene. In this paper we describe their main properties and features. They can be even considered the basic, conceptual and architectural blocks to build intelligent tutoring system (ITS).