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+  From: RICHARD COCHRANE <SENRC@xxxxxxxxxxxxx>
+  Date: Fri, 8 Jul 1994 15:50:32 GMT
> If intensities may be thought of as states (which i see not touble >
> doing),

I'm not so sure. An intensity is D's work is a kind of amalgam of a
Spinozan attribute with a Bergsonian intensity. They are to do with
affects, not total states. Thus, "moving through an intensity" (note that
intensities are predicated of the plane, not the moving "object") does
not necessarily map onto "changing state"...

> then the speed and direction in which they are changing is the
> conjugate to those states and so, together, this pairing constitutes a
> phase.

Speeds are not the same as rates of change in intensity. Intensities
*are* becomings, granted, but they are thus *already* speeds... I
think your application of the word "speed" here means "acceleration",
which is a different matter.

> Each intensity and its conjugate is one pair of dimensions
> in the phase space of your schizo- dynamcial system, yes.

Point of clarification request: what's the conjugate of an intensity? Do
D&G ever refer to this? It's not s/thing I've come across

> So the
> attractor you see emerging for your system undergoes catastrophe
> after
> catastrophe in a long chain of bifurcations. The two-dimensional
> space of each conjugate pair shows a trajectory for that intensity,
> but
> this trajectory is but a cross-sectional view of the high-dimensional
> attractor. The nice thing about this kind of Poincare perspective is
> that any structural similarities between each trajectory refects
> something about the whole attractor and therefore represents
>related, stable features of the whole.

This all sounds ingenious, but my maths isn't up to it. Also, I'm not
sure how well it really squares with Deleuze, as my comments point
out. Can you give me a reference for this stuff? Is it connected with
the stuff on Boulez in *Thousand Plateaus* about directed spaces
and fractals? I just wrote a paper on Deleuze and Boulez (also Cage)
and it would be nice to see how far our readings coincide/diverge.

Richard Cochrane
Dept of Philosophy
UWCC
Cardiff
Wales

email: senrc@xxxxxxxx


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