Jean Piaget discovers such key phenomena of children’s thinking as syncretic statements, egocentrism, transductive logic and irreversibility of judgments (including many other phenomena), and also makes two attempts to conceptually explain the genesis of children’s pre-logical and adult logical human thinking in his main works: “The Speech and Thought of the Child” (early period) and “The Psychology of Intelligence” (late period).The dyadic structure of the cognitive concept of both early and late Jean Piaget confuses implicit and conditioned reflex competencies at the prelogical stage of cognition. The absence of such a distinction inevitably characterizes association as monosyllabic, which does not allow for a conceptual explanation of such phenomena of children’s thinking as multi-stage associations of syncretic statements and precausal juxtaposition.In this article, we will demonstrate that the phenomena of children’s thinking discovered by Jean Piaget are more effectively explained by Charles Peirce’s triadic epistemology. Specifically, we will demonstrate the following: Irreversibility of judgments and transductive logic pertain to the Primary level of cognition (implicit cognition), syncretic statements and juxtaposition pertain to the Secondary level of cognition (conditioned reflex/partially explicit cognition), and the abstract functional invariant of Tertiary is equivalent to operational groupings (explicit cognition).