Psychopedagogy focuses its interest in studying and understanding the learning of human beings, from its various manifestations and subjectivities. Human learning is linked to a complex perspective, as a chaotic system, so the ways of approaching it can be from different lines of knowledge. The objective of this work was, from a meta-scientific analysis, to establish the subject-object relationship around human learning and to build an algebraic model that would allow the recognition of a logical structure, its manifestations, trajectories, possibilities and impossibilities of mathematical determination, based on the proposals of Piaget, Ebbinghaus and Spearman. The models built allowed establishing subject-object relationships recognizing their complexities and properties, challenging the psycho-pedagogical analysis to a new understanding of the scope of logic in the modeling of learning and the concept of threshold.