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simon 5 years ago
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<p>I have not made a thorough study of McCulloch. It would take years. I do not know if what follows satisfies that criterion he established for such a calculus. I have maintained a certain organization of ignorance relative to formal cybernetics and formal topology. In fact, what follow would not, it seems, satisfy the kind of discreteness, one-two-three, that McCulloch seemed to want. However, such discreteness may not be necessary.</p>
<p>My approach stems from work with McLuhan that preoccpied me with the problem of how to maintain congruence between our intentions and our extensions. McLuhan talked of orchestration of media and sense ratios. Neither cut it. Orchestras just aren't around and sense ratios or <em>sensus communis </em>is a medieval model, essentially a simile of meta touch. Gibson's book on the senses considered as percetual systems is richer in description of the process. It includes McLuhan's personal probing ability as an active part of the perceptual system.</p>
<p>While the following formulations may not in fact work as a calculus of intention I put them forth both because they have been exciting and useful for me and because the calculus itself seems a critical problem in terms of cybernetic guerilla warfare. Dialogue degenrates and moves to conflict without an understanding of mutual intent and non-intent. While it does not seem that we can work out such a common language of intent with the people pursuing the established entropic way of increasingly dedifferentiated ways of eating bullshit; it is critical we develop such a language with each other. The high variety of self organizing social systems we are working toward will be unable to co-cybernate re each other re the ecology without such a calculus of intent.</p>
<p>This calculus of intention is done in mathematical topology.<b> Topology is a non-metric elastic geometry. It is concerned with transformations of shapes and properties such as nearness, inside and outside.</b><p> Topologists have been able to describe the birth of a baby in terms of topological necessity. There is a feeling among some topologists that while fixed math has failed to describe the world quantitatively, it may be able to describe the world qualitatively. Work is being done on topological description of verbs that seem commmon to all languages. Piaget felt that topology was close to the core of the way children think. Truck drivers have been found to be the people who are most able to learn new jobs. While driving truck for Ballantine one summer, it became apparent to me why. Hand and experienced driver a stack of delivery tickets and he could route in five minutes what would take you an hour. It was a recurring problem of mapping topologically how to get through this network in the shortest amount of time given one way streets etc.</p>
<p>This calculus of intention is done in mathematical topology.<b> Topology is a non-metric elastic geometry. It is concerned with transformations of shapes and properties such as nearness, inside and outside.</b><p> Topologists have been able to describe the birth of a baby in terms of topological necessity. There is a feeling among some topologists that while fixed math has failed to describe the world quantitatively, it may be able to describe the world qualitatively. Work is being done on topological description of verbs that seem commmon to all languages. Piaget felt that topology was close to the core of the way children think. Truck drivers have been found to be the people who are most able to learn new jobs. While driving truck for Ballantine one summer, it became apparent to me why. Hand an experienced driver a stack of delivery tickets and he could route in five minutes what would take you an hour. It was a recurring problem of mapping topologically how to get through this network in the shortest amount of time given one way streets etc.</p>
<p>I should say that my own topological explorations have a lot to do with a personal perspective system that never learned phonetics, can't spell or sing, and took to topology the way many people seem to take to music. The strangest explicit experience with toplogy I've had came via a painter friend, Claude Ponsot, whose handling of complex topological patterns on canvas convinced me that a non-verbal coherent graphic thing was possible. The following transformations on the klein bottle-klein worms, if you will-came in the context of working with Warren Brody on soft control systems using plastic membranes. Behind that are three years of experience infolding videotape. I checked these formulations with a Ph.D topologist. He had not seen them before, questioned whether they were strictly topological. As far as I know, they are original.</p>
<img src="images/klein_worm_01.jpg"><br>
<img src="images/klein_worm_02.jpg"><br>

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