At the biological level, what is innate is the result of an evolutionary process and is "programed" by natural selection. Natural selection is the "coder" (once linked to the emergence of meaning). This coupled process is indissolubly correlated with the continuous construction of new formats in accordance with the unfolding of ever-new mathematics, a mathematics that necessarily moulds coder's activity. Hence, the necessity of articulating and inventing a mathematics capable of engraving itself in an evolutionary landscape in accordance with the opening up of meaning. In this sense, for instance, the realms of non-standard models and non-standard analysis represent, today, a fruitful perspective in order to point out, in mathematical terms, some of the basic concepts concerning the articulation of an adequate intentional information theory.