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<p>[Resent by PCM]</p>
<p>-------- Mensaje reenviado --------</p>
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<th valign="BASELINE" nowrap="nowrap" align="RIGHT">Asunto:
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<td>Re: [Fis] Fis Digest, Vol 113, Issue 14</td>
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<th valign="BASELINE" nowrap="nowrap" align="RIGHT">Fecha: </th>
<td>Sun, 23 Jun 2024 01:47:57 -0500</td>
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<th valign="BASELINE" nowrap="nowrap" align="RIGHT">De: </th>
<td>Louis Kauffman <a class="moz-txt-link-rfc2396E" href="mailto:loukau@gmail.com"><loukau@gmail.com></a></td>
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<th valign="BASELINE" nowrap="nowrap" align="RIGHT">Para: </th>
<td>Mark Johnson <a class="moz-txt-link-rfc2396E" href="mailto:johnsonmwj1@gmail.com"><johnsonmwj1@gmail.com></a></td>
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<th valign="BASELINE" nowrap="nowrap" align="RIGHT">CC: </th>
<td>Krassimir Markov <a class="moz-txt-link-rfc2396E" href="mailto:itheaiss@gmail.com"><itheaiss@gmail.com></a>, fis
<a class="moz-txt-link-rfc2396E" href="mailto:fis@listas.unizar.es"><fis@listas.unizar.es></a>, <a class="moz-txt-link-abbreviated" href="mailto:55mrcs@gmail.com">55mrcs@gmail.com</a></td>
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<div class="">Dear Mark,</div>
It is important to understand context, and such understanding asks
for an understanding of "the whole".
<div class="">There are examples in mathematics that I find
illuminating where we have a structure that can be regarded as a
continuous whole in a certain context, but it can also be
projected into a structure that consists of interacting parts.
This happens in topology quite naturally, and much of the
topological discussion is devoted to a kind of mathematical
metrology of wholes and parts.</div>
<div class=""><br class="">
</div>
<div class="">I include below two pages about this topological
theme, from my essay Sign and Space written in the 1980’s. It is
possible that fis cannot take an inclusion. If anyone wants the
excerpt of the whole paper, I will be happy to send it. This
note is my second letter today to fis. But this is the end of
the week, so I presume that I can “speak” again in a day.</div>
<div class=""><br>
</div>
<div class="">[PCM Note : the mentioned attach. has been dropped
by the server]</div>
<div class=""><br>
</div>
<div class="">
<div class="">I recommend reading this evocation wholes and
parts in relation to knots because it is not so well known in
this light. On the one hand we have a whole form in the shape
of a closed circular knotted rope or mathematical closed
knotted curve. On the other hand, the simple act of projection
divides the knot into an interrelated collection of pieces. We
can study how these pieces interact and how they change when
we move the knot or change the projection. The pieces are
circularly interconnected and so are susceptible to a
self-referential description. Knot theory and algebraic
topology more generally are devoted to understanding wholes as
best we can, either from the wholes as given, or via an
analysis of parts AS CONSTRUCTED relative to the wholes.
Projection is a form of such construction.</div>
<div class="">All of this mathematical work leads to many
thoughts about cybernetics, information theory and the
positions of radical constructivist thought.</div>
<div class=""><br class="">
</div>
<div class="">In regard to playing and performing music, I am
very interested in what goes on in improvisation. For example,
we were performing “Dark Eyes” as Klezmer Group before an
audience yesterday, and I was quietly, off the chart,
accompanying the person singing. And I felt my way into the
key of it and into a low register personal rendition of it on
clarinet. He called on me to solo and put the mike nearby and
I was happily in what I was producing from my own producing.
This sort of experience is beyond parts, but one is very aware
of holding key, melody, intention rhythm and of projecting all
that through the channel of the playing. One does not stand
outside that whole. One is, if one is, an aspect of the
whole. </div>
<div class=""><br class="">
</div>
<div class="">It don’t mean a thing if it ain’t got that swing.</div>
<div class="">Best,</div>
<div class="">Lou</div>
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