"INTUITION: An unpremeditated awareness of an idea, followed by a second intuitive force, which secures and records the thought for mankind for now and henceforth." John Cage: morphological systems for
scoring Just as Poincaré advocated the use
of intuitive processes to access solutions which would not have
been found in a logical, calculated set of solutions, Cage advocates
the use of chance processes to access solutions located outside
of the sphere of human intellect, personality, experience and
culture. The two differ in the nature of the problems they are
solving. Poincaré is seeking solutions to mathematical
and physical problems which require a single, exact solution.
It is appropriate for him to look beyond his conscious intellect
for solutions and to rely on unconscious, intuitive processes.
It would not be fruitful to rely on a chance process to uncover
a mathematical truth. I wish to point out that Cage was not the
first composer to use chance process, nor is the use of chance
process indicative of a non-deterministic aesthetic. According
to Cage, exact mathematical structure did not lead musical theory
until Beethoven, whom he blames for the stagnation of "modern"
music. Rather than working within the confines of standard scoring,
Cage creates new music by modifying the language of compositional
process. His scores have been derived not only from mathematical
procedures, such as rolling dice, but also from nature. Pieces
of woodgrain, automatic drawing, and photographs of mountain
ranges have served as templates for his scores. Cage not only
creates non-determinestic scores, but also non-deterministic
instruments such as radio receivers or the prepared piano, a
piano with objects such as rubberbands or bones inserted among
its strings. Cage's aesthetic and process seeks to introduce
as much of nature's patterns and rhythms as possible into the
compositions and performances. Chaos dynamics is the mathematical model
for the natural irregularities that Cage is borrowing from rocks
and trees. It follows that the use of chaos dynamics, as a design
generator, will also produce compositions which reflect a natural
aesthetic. The problem for the designer is how to use this natural
aesthetic to achieve a specific goal, to transmit a specific
message. We must also ask ourselves whether or not this natural
aesthetic is an appropriate vehicle for that message. Even if
a natural aesthetic is inappropriate for a specific problem,
we may still look to Cage's chance methodologies for solutions
beyond the usual realm of our intellect and experience. copyright 2006, M. Blair Ligon, all rights reserved worldwide.
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