16 - Mathematics: Quantities and Qualities

Strictly speaking in holistic terms, mathematical symbols express the dynamic complementarity of both quantitative and qualitative aspects.

Put another way holistic symbols now equally express both the structures of the physical spectrum (as stages of reality) and likewise the structures of the psychological spectrum (as stages of self).

And these structures - which can be expressed in a precise holistic mathematical form -  are complementary in both horizontal, vertical and diagonal terms.

In other words within each stage we have complementary horizontal structures relating to the physical and psychological aspects that are - relatively - exterior and interior with respect to each other.

Likewise with respect to corresponding "higher" and "lower" stages we have complementary vertical structures relating to physical and psychological aspects (considered in a relatively independent manner) that are whole and part (and part and whole) with respect to each other.

Finally - through combining horizontal and vertical aspects simultaneously - with respect to the exterior (or interior) aspect of a "higher" stage and the interior (or exterior) aspect of a corresponding "lower" stage we have complementary diagonal polarities (relating to the most fundamental understanding of physical and psychological aspects respectively) that are form and emptiness (and emptiness and form) with respect to each other.

When we look at mathematical symbols in an analytic (absolute) fashion, the physical and psychological aspects are fully separated with a double correspondence relationship assumed to exist between them.

Therefore mathematical symbols can be understood as giving a fully objective interpretation of physical reality; however equally they can be seen as entirely subjective constructs used to interpret such reality.

When a static double correspondence is assumed to exist as between both aspects regarding the absolute nature of its truths, it is irrelevant as to which interpretation is taken.

Thus for example I can look at the Pythagorean theorem as an objective hypothesis with respect to physical reality or equally a subjective hypothesis (the logical consistency of which cannot be challenged). And in the analytical appreciation of mathematical symbols both of these interpretations are assumed to correspond with each other.