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as a whole. In this case, the art is self-defeating in the short run, since the viewers do |
ponder about its meaning, but it achieves its aim with a few people in the long run, by |
introducing them to its sources. But in either case, it is not true that there is no code by |
which ideas are conveyed to the viewer. Actually, the code is a much more complex |
thing, involving statements about the absence of codes and so forth-that is, it is part code, |
part metacode, and so on. There is a Tangled Hierarchy of messages being transmitted by |
the most Zen-like art objects, which is perhaps why so many find modern art so |
inscrutable. |
Ism Once Again |
Cage has led a movement to break the boundaries between art and nature. In music, the |
theme is that all sounds are equal-a sort of acoustical democracy. Thus silence is just as |
important as sound, and random sound is just as important as organized sound. Leonard |
B. Meyer, in his book Music, the Arts, and Ideas , has called this movement in music |
"transcendentalism", and states: |
If the distinction between art and nature is mistaken, aesthetic valuation is |
irrelevant. One should no more judge the value of a piano sonata than one should |
judge the value of a stone, a thunderstorm, or a starfish. "Categorical statements, |
such as right and wrong, beautiful or ugly, typical of the rationalistic thinking of |
tonal aesthetics," writes Luciano Berio [a contemporary composer, "are no longer |
useful in understanding why and how a composer today works on audible forms |
and musical action." |
Later, Meyer continues in describing the philosophical position of transcendentalism: |
... all things in all of time and space are inextricably connected with one |
another. Any divisions, classifications, or organizations discovered in the universe |
are arbitrary. The world is a complex, continuous, single event .2 [Shades of Zeno!] |
I find "transcendentalism" too bulky a name for this movement. In its place, I use |
"ism". Being a suffix without a prefix, it suggests an ideology |
without ideas-which, however you interpret it, is probably the case. And since."ism" |
embraces whatever is, its name is quite fitting. In "ism" thL- word "is" is half mentioned, |
half used; what could be more appropriate? Ism is the spirit of Zen in art. And just as the |
central problem of Zen is to unmask the self, the central problem of art in this century |
seems to be to figure out what art is. All these thrashings-about are part of its identity |
crisis. |
We have seen that the use-mention dichotomy, when pushed, turns into the |
philosophical problem of symbol-object dualism, which links it to the mystery of mind. |
Magritte wrote about his painting The Human Condition I (Fig. 141): |
I placed in front of a window, seen from a room, a painting representing exactly |
that part of the landscape which was hidden from view by the painting. Therefore, |
the tree represented in the painting hid from view the tree situated behind it, outside |
the room. It existed for the spectator, as it were, simultaneously in his mind, as both |
inside the room in the painting, and outside in the real landscape. Which is how we |
see the world: we see it as being outside ourselves even though it is only a mental |
representation of it that we |
experience inside ourselves.' |
Understanding the Mind |
First through the pregnant images of his painting, and then in direct words, Magritte |
expresses the link between the two questions "How do symbols work?" and "How do our |
minds work?" And so he leads us back to the question posed earlier: "Can we ever hope |
to understand our minds! brains?" |
Or does some marvelous diabolical Godelian proposition preclude our ever |
unraveling our minds? Provided you do not adopt a totally unreasonable definition of |
"understanding", I see no Godelian obstacle in the way of the eventual understanding of |
our minds. For instance, it seems to me quite reasonable to desire to understand the |
working principles of brains in general, much the same way as we understand the |
working principles of car engines in general. It is quite different from trying to |
understand any single brain in every last detail-let alone trying to do this for one's own |
brain! I don't see how Godel’s Theorem, even if construed in the sloppiest way, has |
anything to say about the feasibility of this prospect. I see no reason that Godel’s |
Theorem imposes any limitations on our ability to formulate and verify the general |
mechanisms by which thought processes take place in the medium of nerve cells. I see no |
barrier imposed by Godel’s Theorem to the implementation on computers (or their |
successors) of types of symbol manipulation that achieve roughly the same results as |
brains do. It is entirely another question to try and duplicate in a program some particular |
human's mind-but to produce an intelligent program at all is a more limited goal. Godel's |
Theorem doesn't ban our reproducing our own level of intelligence via programs any |
more than it bans our reproducing our own level of intelligence via transmission of |
hereditary information in |
DNA, followed by education. Indeed, we have seen, in Chapter XVI, how a remarkable |
'Godelian mechanism-the Strange Loop of proteins and DNA-is precisely what allows |
transmission of intelligence! |
Does Godel’s Theorem, then, have absolutely nothing to offer us in thinking |
about our own minds? I think it does, although not in the mystical and [imitative way |
which some people think it ought to. I think that the process of coming to understand |
Godel’s proof, with its construction involving arbitrary codes, complex isomorphisms, |
high and low levels of interpretation, and the capacity for self-mirroring, may inject some |
rich undercurrents and flavors into one's set of images about symbols and symbol |
processing, which may deepen one's intuition for the relationship, between mental |
structures on different levels. |
Accidental Inexplicability of Intelligence? |
Before suggesting a philosophically intriguing "application" of Godel's proof. I would |
like to bring up the idea of "accidental inexplicability" of intelligence. Here is what that |
involves. It could be that our brains, unlike car engines, are stubborn and intractable |
systems which we cannot neatly decompose in any way. At present, we have no idea |
whether our brains will yield to repeated attempts to cleave them into clean layers, each |
of which can be explained in terms of lower layers-or whether our brains will foil all our |
attempts at decomposition. |