Imagining order and pattern re-cognition

Imagining Order as Hypercomputing (Part #8)

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• Creatively exploring web associations: This experience is an extension of web browsing, namely when creative imagination in the moment "lays down the path in walking" through cyberspace. The user is then a kind of traveller (perhaps framed in exaggerated terms as "spider man")
• Creatively exploring aesthetic associations: This is most notably associated with music and poetry and what they may engender. Hofstadter explores this process through the highly rated set of 30 Goldberg variations of Bach,
• Enhancing creativity through meta-analogy: This process is suggested by the arguments of Hofstadter and Sander with respect to imagining analogies of analogies
• Imaginative ordering and "re-cognition": This might be understood as exploring correspondences and complementary metaphors -- even systematically -- namely through imagining alternative modes of framing anything (Theories of Correspondences -- and potential equivalences between them in correlative thinking, 2006). This could include possibilities suggested by sets of geometrical or topological forms

Of particular interest in this respect is the comprehensive study of order by Christopher Alexander, following his seminal elaboration of a pattern language. This can be used as a template for imagining other applications, as discussed separately (5-fold Pattern Language, 1984).

The work on order resulted in further developments by Alexander (New Concepts in Complexity Theory: an overview of the four books of the Nature of Order with emphasis on the scientific problems which are raised, 2003; Harmony-Seeking Computations: a science of non-classical dynamics based on the progressive evolution of the larger whole, International Journal for Unconventional Computing (IJUC), 2009). The latter can in turn be explored for further implications of relevance to any understanding of hypercomputing (Harmony-Comprehension and Wholeness-Engendering: eliciting psychosocial transformational principles from design, 2010).

In contrast to the variety of order recognized by Alexander, it is appropriate to note the necessarily unimaginative "order" currently emphasized in the widely used phrase "law and order" -- and with respect to the "forces" mandated to maintain it. Ironically, a subtler and more imaginative sense of the variety of forms of order is associated with "lore", as discussed separately (Law and Order vs. Lore and Orders? Imagining otherwise the forceful engagement of singularity with plurality, 2013).

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