It seems that one of Plato’s main concerns, was how to embed mathematical thinking into the future political agents. Since mathematical language is abstract and not referring to everyday matters, one would find great difficulty in convincing people to study it. Storytelling on the other hand is much more an attractive way to get the listener‘s attention. The content of the story, is not just following mathematical reasoning though. It’s rather the mode of the narrative, the way it is articulated geometrically that embeds the mathematical ability to the listener, the voice of its nature. «Το δ’ αυτό εστίν η κατ’ενέργειαν επιστήμη τω πράγματι» as Aristotle said.The conjuction of intellectus materialis and intellectus agens leads to the identification of the process of thinking to the thing thought.
There is enough evidence today that memorability shapes intelligibity, that thinking follows patterns.To break these patterns and form new ones (or rather free the deeper abstract logical forms from the debris of temporality) mnemonotecnics were used. Plato probably organized his narratives using his elements to construct a mental image (that might also explain his dislike of painted images as mere imitations of nature) , he constructed a topos for his logos. A sign to this hypothesis might be the abillity of the text to be translated, its translatability as W.Benjamin put it. [The task of the translator, Illuminations]. Another yet example of arranging a composition(θεωρία) using Plato’s elements, is Theotokopoulos paintings (that generated intuitively what took the name of «cubism» three hundred years later).