Comprehension of Numbers Challenging Global Civilization (Part #7)
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The World Cup process highlights the extent to which there are dimensions missing from the representation of governance. These include:
In this light, the challenge for the future of governance might be usefully framed in terms of the fundamental lack of:
These factors "play out" in terms of :
Catastrophe theory: One speculative exploration of this is through correlating the generic form of such a cup with the insights of catastrophe theory. Given the transformative significance of the cup as variously understood in different traditions, it is appropriate to note the specific concerns with "transformation" articulated by René Thom (Structural Stability and Morphogenesis: an outline of a general theory of models, 1994; Peeter Müürsepp, Structural Stability as the Core of René Thom's Philosophy: from Aristotle to contemporary science, 2010), as discussed separately in relation to the so-called elementary catastrophes (In-forming the Chalice as an Integrative Cognitive Dynamic: sustaining the Holy Grail of global governance, 2011). The latter suggests a relationship depicted as follows
The challenge of governing sustainably might be fruitfully explored in terms of the set of catastrophes identified. This is suggestive of how different catastrophes, to which an integrative form is potentially vulnerable, may be "contained" by the form of the Chalice itself. This was a focus of a separate exploration (Interrelating Cognitive Catastrophes in a Grail-chalice Proto-model, 2006) which included the following presentation:
| Relating elementary catastrophes to fundamental questions | ||||
| why? | parabola | ![]() | ![]() | typical deep cup |
| who? | ellipse | ![]() | minimal stem with a knob (nodus or pommellum) | |
| what? | hyperbola | ![]() | wide base | |
2-D Cross-section | Example of a chalice | |||
The potential of such exploration is discussed separately (Embodiment of Identity in Conscious Creativity, 2011).
Quest for cognitively relevant design elements: The argument above regarding the cognitive gap -- as embodied into both cup imagery and the United Nations symbolism of global governance -- can be taken further. The question is what connotations it is useful to attempt to build into the design of a "cup". How to complexify the existing imagery of the globe (in the UN case), the ball (in the FIFA cup case), or the emptiness (of any sacred cup). It is that emptiness which implies the potential of emergent significance, as in the traditional Buddhist parable regarding the empty cup. The punch line regarding the process of acquiring knowledge of Zen might be adapted to "global governance". Perhaps: Like this cup, the world is full of particular opinions and speculations. How can global governance be comprehended without first emptying the cup?
The images below suggest ways in which the cup might be filled and emptied. The animation on the left offers a variety of centro-symmetric symbols and schematics suggesting facets of insight. The central image embeds the football -- as the acknowledged global focus transcending politically opinion -- within a matrix of receptive attention. The third image uses the geometrical design of the football ball to present a framing of emptiness, without filling it -- emphasizing (through an animation) the dynamic, so valued in potential movement of the ball.
It might be considered a supreme irony that the ball, kicked with such pleasure around the globe, derives from a design which is of considerable potential significance to global governance, as argued separately (Metaphorical Geometry in Quest of Globality -- in response to global governance challenges, 2009; Towards Polyhedral Global Governance: complexifying oversimplistic strategic metaphors, 2008). The standard football pattern is that of a truncated icosahedron (presented dynamically below with the aid of Stella Polyhedron Navigator).
| Possible clues to schematic "stemmed cup" design elements understood dynamically (distinguishing cup, stem and base alternatives) | ||
| Symbol animation | Football implication | Animation framing emptiness |
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| Simplified schematic axial view of DNA (see schematic articulation and complex variant) | Transition between a toroidal base and rising ball (from Wikipedia) |
| Alternative base design possibilities to cup stem above (an animation of DNA segment from Wikipedia) | |
The design of the FIFA Cup (reproduced above) incorporates a spiral swirl in the lower portion -- as does that of the FIFA Women's World Cup. A more significant complex form for the stem might reflect the spiral structure of DNA enabling life on the globe (as above), possibly understood as incorporating the 2D vesica piscis used in the earlier composite schematic above (DNA Supercoiling as a Pattern for Understanding Psycho-social Twistedness, 2004).
The DNA pattern could also figure in the base design (as above left). The more complex renderings, on which the schematic is based, reveal patterning reminiscent of that to be found in the tracery on the base of sacred cups (see images of DNA axial view). Together these design elements would stress the point that, presented symbolically as cut, the leafy branches above require connection to a living base to be sustainable -- and to represent viability. The metaphor can be developed with respect to the use of cut flowers in plenary gatherings (Flowering of Civilization -- Deflowering of Culture: flow as a complex experiential dynamic, 2014).
For the base, the animation alternating between the toroidal and spherical forms is also suggestive (above right). Through what form of "uterine peristalsis" do strategic outcomes get engendered from a global matrix, as may be speculatively explored (Complexification of Globalization and Toroidal Transformation: topological implications of invagination and gastrulation in embryogenesis, 2010)? Some recognition is offered by the sense in which significance is perceived to "bubble up" when peering appropriately into a cup, as suggested to some degree by another speculative animation (Dynamic Exploration of Value Configurations: interrelating traditional cultural symbols through animation, 2008).
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