We remember the historical vicissitudes, during more of thousand years -for simple intolerance and dogmatism- that had to pass until the efficient positional numerical systems could be implemented, but that in only four centuries have made possible the emergence of science and current technology. Three centuries ago LEIBNIZ analyzed these systems, such as the binary positional system for calculating (thus being a precursor of computer science), and was aware of the limitations of human languages, ambiguous and ambiguous, so he proposed the need for a "Characteristica universalis" common and integrative of all languages, which was analogous to the accuracy and intuitiveness of positional number systems. He sensed the difficulty of achieving it, but at the same time its ease of learning and use, as well as its communicative utility. At his death, after several failed attempts -and therefore the erroneous belief that it was not possible- this article explains that yes, it is possible such "Characteristica" and how it has been achieved. It was between 1984 and 1996 I analyzing the intrinsic characteristics of human thought and its languages on the basis of an innovative interdisciplinary methodology, integrating linguistics (semiology and semantics), psychology, neurology, mathematics and computer science. The possibility of defining concepts exactly, even the most virtual ones such as human psychic (i.e. mental) faculties, also makes it possible to bring order to the current ambiguities of psychology and pedagogy. A computer simulator, resulting from the same analysis, unequivocally demonstrates this tricentennial achievement regardless of whether or not its functioning is understood (a computer or a cell phone works, so no one doubts its complex technology and scientific basis). It has been transferred to the article "Children's Knowledge at the age of 2 years" (see Bibliography) several mathematical explanations about the analogy (permitted by the algebraic extension) of the exact positional numerical systems, to the conceptual system (exact and intrinsic) on which the "Characteristica universalis" is based. More than a thousand years had to pass before positional number systems became widely used (7th to 18th centuries). How long will it take to implement the Characteristica universalis (or Conceptual system [exact and intrinsic])?