Triangulation of Incommensurable Concepts for Global Configuration (Part #8)
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The challenge of integration beyond any binary clash is admirably clarified using the mathematics of q-analysis as developed by Ron Atkin (Multidimensional Man; can man live in 3-dimensional space?, 1981), as separately summarized (Comprehension: Social organization determined by incommunicability of insights). Atkin illustrates the challenge of comprehension in relation to experience "within" the geometry of a triangle -- especially with regard to the perspective necessary to comprehend the geometry of the triangle as a whole. The perceptual significance of this approach is well-illustrated by visual sensitivity to colours resulting from the three primary hues (red, green and blue). These may be represented on a simple triangle. Here the vertices (O-simplexes) represent the primary hues, the sides are twofold combinations (1-simplexes), and the combination of the three hues makes the central white (2-simplex).
| Schematic used by Ron Atkin to illustrate the challenge of recognizing a higher-order perspective | |
![]() | 0-dimension vision:
1-dimension vision:
2-dimension vision:
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