Dear Neil,
Many thanks for the deep and important comment. On my system, the three fundamental concept: Logos, Eidos, Topos. Briefly, Eidos I understand how the idea presented in the image. In my conception of eidos - the integrative concept: Plato+Aristotle+Losev. I also agree with (1) and (2). Eidos - the semantic generating logical structure of the Universum presented in the image (mathematical) and representing in the unity of the internal and external absolute form of existence of matter. Etos, it is included through the category "justice", (harmony, symmetry). I'll give you some excerpts from the work Alexey Losev , "The Philosophy of the Name" :
«...scheme, topos, eidos and symbol- four necessary faces in which the nominated essence is. The essence shows itself in an eidos
-Logos exists only depending on an eidos and, a trace, from essence; it is essence of an eidos, as an eidos- essence of apophatic X.
The essence doesn't need formal logic and lives besides it, in other logic, in dialectics.
Eidos is something integral
Eidos is something invariable, not submitting to time, eternal, because it -- pure sense
Eidos is sense. It is similarity point between an Eidos and Logos
Eidos is an individual community
Eidos inside -- itself it is mobile, itself it is transparent
Eidos is the shown face
Eidos is as a sculpture, as a face and a sense picture; Logos shows essence as the principle and a method of manifestation of an eidos in "other".»
Semantic depth eidos is that it gives the opportunity to see "coincidence of opposites" of Nature and presented in the form of a simple mathematical object which represents the deep ontology and dialectic of the Universum. It enables visual presentation of the absolute idea, the ontological structure of the Universum.
Fundamental science is not giving essentially grounded eidos of the Universum, which would incorporates all of the ultimate meaning of the world («LifeWorld») and was understood billion people on Earth. Is it possible to safely steer the future based on the hypothesis: "In the beginning was the Big Bang ..."? Need a "guiding star" - eidos of the Universum, she's framework, base and carcas of Knowledge, represent in the symbol as a specific mathematical object.
Many thanks for all links!
Best regards,
Vladimir