Does any formal system exist built upon the mechanics of Additive Colour Theory?
Additive Colour Theory is the description of the behaviour of the visible spectrum of light as it combines-the ""primarys" red, blue and green combining to form the "composites" yellow, cyan and magenta, and these combining to form the "universal" white.
Such a system would be a generalisation of such interactions. Starting at one end with the universal "set" (that corresponds to White in this case), descending with different levels of distinct "sets" of composite elements and ending with the basic element that correspond to red/blue/green. (Disregarding the "colour" black from considerations.)
They can't seem to be modelled for example as sets, as one set can't have two distinct parent sets, unlike the primary, composites and white colour sets in Additive Colour Theory.
The formal definition would involve. 1. a base set of primitive elements 2. increasing levels of layers of elements made from combinations of more basic elements 3. a final universal element that contains all other elements