Guest Post:A Hipbone Approach to Analysis III.

I’m processing this as a theologian / philosopher / poet, and Jonas has just given me a new angle on the theme of the intersection of frames of reference that Arthur Koestler in The Act of Creation takes to be the fundamental element in insights ranging all the way from casual jokes about rabbis to — let me give you a more powerful example — the Taniyama-Shimura Conjecture which, if I’ve understood the layman’s version correctly, began as a hunch that the otherwise entirely distinct mathematical zones known as “elliptic curves” and “modular forms” could be mapped onto each other – and wound up once proven, successfully bridging algebra with analysis.

Now, I am no no no no mathematician — but I am a student of conceptual bridges, so if I’ve phrased myself poorly here, please bear with me. The point is to think freshly about how one idea connects with another.

Koestler’s insight at the intersection between two fields (for this is essentially a matter of multiple-frame, and thus cross-disciplinary, thinking) is, I’d suggest, Jonas’ epiphanic piece of the puzzle.

Awesome.

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But as we are trying to figure out the puzzle pieces — and this applies to “what is the meaning of life?” as much as to “what threat should be uppermost in our concern?” — Jonas has more to throw at us:

There may be more than one puzzle in the box, some puzzles having nothing to do with others. There may be duplicate pieces, pieces that disagree with each other, and missing pieces. Some pieces may have been shredded and are now unusable. Other pieces are mislabeled and/or are exceptionally well crafted lies.

I would like to add that puzzles may not be the only thing in the (universal) box. There’s a quote that originates somewhere in Heidegger, to the effect that “A puzzle is the unknown, to be solved, while a mystery is the unknowable, to be entered into and dwelt within.” As I say, I’ve only just run into Jonas’ thoughts, but I’d like to integrate that piece of the puzzle in with the ideas he’s providing – why not have a go at the mystery too while we’re about it?

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So what happens with ideas? How do they connect?

Hermann Hesse, the Nobel laureate in literature who gave us Siddhartha and Steppenwolf and The Journey to the East, won his Nobel for his most ambitious novel, The Glass Bead Game (Das Glasperlenspiel, also known in English as Magister Ludi). It is an amazing piece of work that inspired at least one other book by another Nobel laureate — Manfred Eigen’s Laws of the Game: How the Principles of Nature Govern Chance — gave John Holland (he of genetic algorithms) the ruling metaphor for his life’s work, was an early and profound influence on Christopher Alexander’s thinking about pattern languages, and in general serves as a catalyst for grand scale creativity among a disparate crowd of very bright minds.

It is about a game — a game on the order of the complete works of JS Bach. And the essence of the game is the juxtaposition of thoughts.

It is about “connecting the dots” and “putting together the pieces of the puzzle” on the grand scale, to create not a single link between ideas, not a small “bigger picture” deploying a half-dozen or so insights, but a vast architecture of ideas that encompasses all “deep” human thought and connects all “beautiful” cognizable patterns. Hesse uses the image of an organist playing an organ to describe the play of ideas that composes his Game, writing:

All the insights, noble thoughts, and works of art that the human race has produced in its creative eras, all that subsequent periods of scholarly study have reduced to concepts and converted into intellectual values the Glass Bead Game player plays like the organist on an organ. And this organ has attained an almost unimaginable perfection; its manuals and pedals range over the entire intellectual cosmos; its stops are almost beyond number.

And in Hesse’s central, musical metaphor, the myriad thoughts that comprise what he terms the “hundred-gated cathedral of Mind” are linked one with another by likeness — by identity, isomorphism, homology, symmetry, parallelism, opposition, analogy, metaphor…

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I’ll have to move us deep into the territory of the arts and humanities here, because Hesse himself was supremely versed in those areas, but in doing so I would remind you that John Holland wrote of his life’s work, “If I could get at all close to producing something like the glass bead game I can’t think of anything that would delight me more.”

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