Tag Archives: Richard McKeon

Plato’s Divided Line

How to display Plato’s Divided Line? Instead of a continuous line going from low to high as it is usually shown, I’ve shown it as two continuous crossed lines, a fourfold or double dual. Eikasia (imagining) and Pistis (belief) together are Doxa, the phenomenal. Dianoia (understanding) and Noesis (knowledge) together are Episteme, the intelligible. Doxa should indeed be horizontal, corresponding to the phenomenal of Richard McKeon’s Aspects of Knowing, and the subjective or content of other double duals. I believe Eikasia should come before Pistis, as the substance and form of content in Hjelmslev’s Net. Considering the vertical axis, Episteme as Dianoia and Noesis should surely be there for Plato, corresponding to McKeon’s ontic. But how do Dianoia and Noesis relate?

By the measure of the Aspects of Knowing or the Archic Matrix, Dianoia could be considered the method/knowledge and Noesis the reality/knowable of Plato’s Divided Line. Thus Dianoia should be above Noesis, as method/knowledge is above reality/knowable. Yet by other measures, that of the Here and Now or Hjelmslev’s Net, Noesis should be above and Dianoia below. Noesis is the form to the substance of Dianoia. Dianoia can also be thought of as meroscopic, reducing all to number and quantity, and Noesis can be thought of as holoscopic, combining all thing into the hierarchy of forms that culminate in that ultimate form, “The Good”.

The difficulty may be because the lower position, here Noesis, serves both as the position of the real in some fourfolds, as well as the position of earth and matter in others. This is a bias that I would like to avoid, but a resolution will need to come later.

References:

http://en.wikipedia.org/wiki/Analogy_of_the_Divided_Line

[*6.158-*6.165, *6.186]

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Archic Matrix: Principles

Creative cause functioning by virtue of (indeterminate) potentiality transcend what is given, functioning caused is without limit different for different things, indeterminate in kind of functioning caused
Elemental cause functioning by virtue of (determinate) potentiality immanent in what is given, from which the functioning emerges same for all things, all things are the same in their being
Comprehensive cause functioning by virtue of actuality (of totality) transcend what is given, functioning of all things transcends any given thing same for all things, all things are differentiated parts of same whole
Reflexive cause functioning by virtue of actuality (of functionality) immanent in what is given, as the functioning itself different for different things, determinate in kind of functioning caused

Since the Archic Matrix can be thought of as the union of four separate fourfolds, each of the fourfolds of perspective, reality, method, principle can be considered on its own. Here is the fourfold of principles consisting of creative, elemental, comprehensive, and reflexive principles. The content of the table and the bottom figure is derived from Walter Watson’s Architectonics of Meaning.

[*6.146-*6.148]

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