One needs the correct tool for the job of cutting into the fabric of conceptualization.
Toward the end of Formal, Transcendental, & Dialectical Thinking Errol E. Harris, writes:
(2) The ultimate character of the universal whole
Development of the last topic would naturally lead into reflection upon the second question raised for discussion. Is the universal totality merely a logical schema? Is it a spatiotemporal or a taxonomic structure? Or is it at once all these things and more besides – a living, self-conscious, special being? Of course the first two descriptions must be readily admitted, but they cannot be exhaustive. No dialectical system such as I’ve posited can be limited to a mere logical schema, or even to an evolutionary series extended in space and time. The dialectical relations require that the prior phases be retained sublated in their successors, even though they are superseded by them. Equally, the only complete, the only full reality which the prior phases enjoy is the realized actuality of their potentialities in the higher forms. (Harris, 1987)
Harris identifies at least two pairs in this paragraph. His intention is not to pair the aspects, rather he is working toward the inherent self-specification of the universal reality. Yet, the pairs are specified once the cutter operates on the conception.
There are two ‘matrical’ operations that enable two four-fold relationships.
How would you characterize the crucial differences, or otherwise differentiate the effects, of the two forms?
Also see: The Quadralectic Archtecture, The Theory of Quadralectic Architecture Marten Kuilman, 2013
The “squaring of the circle” is one of the many archetypal motifs which form the basic patterns of our dreams and fantasies. But it is distinguished by the fact that it is one of the most important of them from the functional point of view. Indeed, it could even be called the archetype of wholeness. (C. G. Jung. Mandalas, 1955)
Kufic Azif – The meeting of the Old Ones and the Hidden Ones