Mediatized semiosis and power: interfaces for thinking about algorithmic means and platforms 207 (“(1) quality, (2) object and (3) mind.”). Each of the categories is placed in dyads with the other two, in addition to being related to each other. But this is, as we argue, the first matrix (a row and a column in relations), part of a chain of derived matrices, which epistemologically places the understanding that meaning is abyssal. The dyad is also a logical reduction (abstraction) of the real. Having this consideration made, let us return to the relationship between the first, second, and third and Lacan’s categories. Let us consider Santaella’s proposition (1999) which converges with our reflection on logic in general and the specific phenomena constructed by specific scientific fields: From this we can conclude that the categories are also logically underlying the three psychoanalytic registers. Given the logical generality of these cat- egories, however, they are not able to specify the content of these records, as this specification can only come from the field of psychoanalysis. Con- sequently, phenomenology and semiotics can only provide the logical substrate, without being able to indicate what are the specific characteristics that firstness, secondness, and thirdness acquire in psychoanalysis” (SANTAELLA, 1999, p. 5). By agreeing, a reverse question arises here. Now, if logic is the logical substrate that the researcher mobilizes to under- stand the psychic phenomenon, as characterized by Lacan, one must ask to what extent Lacan uses chains of [abyssal] matrices to think about his triads. We are not aware if something like this was done by Lacan; that is, the matrices (presented in detail by Walter-Bensen, [2000]) do not appear in Lacan’s explanatory devices. However, in Lacan (2005), there is a diagram form that must be studied to infer this relationship more precisely, includ- ing the form of the diagram, which, in Lacan, is not in a matrix of lines and columns, but of lines, in strings that intersect. Having these considerations made, we can emphasize what we want to retain: in Lacan, the psychic sign is not pure. It is crossed by power. Therefore, analyzing semiosis without con-
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