You are here

Integrative thinking


Triangulation of Incommensurable Concepts for Global Configuration (Part #8)


[Parts: First | Prev | Next | Last | All | PDF] [Links: To-K | From-K | From-Kx | Refs ]


What might be considered an exercise in triadic integration is offered by the implicit relationship between three integrative thinkers as carefully documented by Jennifer Gidley (A Macrohistorical Planetary Tapestry: the fascinating integral narratives of Steiner, Gebser and Wilber, 2007) as part of her exploration of The Evolution of Consciousness as a Planetary Imperative: an integration of integral views (Integral Review, 2007, 5).

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
Colour triangle indicating challenges to comprehension

0-dimension vision:

  • Red, Green or Blue

1-dimension vision:

  • Yellow (=Red/Green)
  • Purple (=Red/Blue); or
  • Turquoise (=Blue/Green)

2-dimension vision:

  • White (=Red/Green/Blue)


[Parts: First | Prev | Next | Last | All | PDF] [Links: To-K | From-K | From-Kx | Refs ]