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The previous sections clarify the conceptual challenge by which individuals and societies are faced in endeavouring to "ride the tiger" and encompass the development process in which they are immersed. But the very fact that this seems to call for juggling conceptually with seven or more factors simultaneously suggests the need to examine what kind of situation results if this does not prove possible, and what kind of psychosocial structures then emerge. As reviewed in an earlier paper (58), most people have difficulty in juggling with more than three factors, and there is a considerable preference for dealing with one, or at the most two.
The nature of the communication (and organizational) patterns which emerge as the result of conceptual discontinuity and non-comrnunication has been clarified by Q-analysis. This is the theory and application of mathematical relations between finite sets. Ron Atkin has applied this to the analysis of communication patterns within complex organizations (72, 73, 74).
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 piece of geometry as shown in Figure 3. Here the vertices (O-simplexes) represent the primary hues, the sides are twofold combinations (l-sirnplexes), and the combination of the three hues makes the central white (2-sirnplex). The 2-simplex, together with all its faces, forms a simplicial complex KY(X) where X is the vertex set (red, green, blue) and Y is the set of seven perceived colours.
| Triangle model of levels of insight Reproduced from Atkin (73, p.108) | |
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Now to be able to see all the colours, a person's vision needs to have the ability to function in the triangle as 2-dimensional "traffic" on that geometry, moving from location to location adjusting to the complexity of the geometrical structure which carries the visual traffic. If however the person's vision is limited to 1-dimensional traffic, then white could not be perceived because the visual traffic of seeing is then restricted to the edges and vertices. Similarly, if the person's colour vision is only O-dimensional, then it is restricted to the vertices. I
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