Emulations - Note No. 1

Petitot explains that the schematization of the square reveals "there exists a "temporality" internal to the structure, a temporality which, without paradox, can be qualified as "synchronic".  Linked to the dimensionality of the structural space in question, it accounts for the canonical linking of the sequences proposed by Greimas (the "figure eight" trajectory of the object of value at the level of the anthropomorphic syntax).  Consequently, in the catastrophe schematism, axiology is polarized in the external space of the dual butterfly, a polarization which governs its "synchronic" temporality" [original emphasis] ("Catastrophe Theory" 195-196).