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"Creating Chaos" by: Danette Paul (Research/Penn State,
Vol. 16, no. 1 (March, 1995))
How did an obscure article in a 1960s atmospheric science journal
become part of the plot of a 1990s box office hit?
In 1963, Edward Lorenz claimed that the extreme sensitivity of
complex systems to initial conditions seemed to make long-term
weather forecasting impossible, that is, that sensitivity to
initial conditions created unpredictability. In 1993, Michael
Crichton used this same notion of unpredictability, now known as
chaos theory, to create a bio-technological disaster. The journey
from scientific journal to Jurassic Park was long and complex, but
clearly demonstrates society's fascination with this new science.
James Gleick's popular 1987 book, Chaos: Making a New Science,
traces chaos theory from obscurity to its establishment as a new
discipline, looking at the main American players in the scientific
community and their important results. Gleick shapes his historical
account into an argument: He contends that chaos theory is a
revolutionary way of looking at and doing science.
True or not, the scientists studying chaos theory often
deliberately invoke the language of revolution. Having noticed this
consistent use of language, Davida Charney, an associate professor
in the Penn State English department, and I determined to retrace
chaos' journey from obscurity, looking at the rhetorical issues of
creating a scientific revolution.
By rhetorical issues, we mean the strategies scientists use in
their writing to convince others that their findings are not only
valid but also important or, in this case, revolutionary. Along
with writing style, these strategies include such things as the use
of jargon and the coining of new terms, the use of citations, and
the creation of a context for their work by shaping their own
historical account of the field.
The introductions of journal articles offer a natural place
for scientists to shape their story. Generally, scientists use a
"create-a-research-space" pattern in these introductions, as
documented by John Swales, a linguist who specializes in advanced
writing. According to Swales, scientists use four standard
rhetorical moves to create a context for their work. First, they
demonstrate the interest or importance of the research topic.
Second, they selectively review and summarize the previously
published research literature. Third, they show that the research
is not complete, creating a gap in the previous research. And
fourth, the current research is presented as a timely and
appropriate "filler."
This model provides a useful pattern for established sciences;
yet how do scientists doing "revolutionary" work tie their research
to a non-existent past? When we analyzed the introductions to
journal articles by two key chaos theory players, Mitchell J.
Feigenbaum and James A. Yorke, we found that as the field became
more established Feigenbaum and Yorke seemed to follow these
standard rhetorical moves closely; in their early articles,
however, they came up with a few moves of their own.
Perhaps the most interesting move in both articles is the
first, in which writers usually attempt to demonstrate the
scientific community's interest in their project by citing previous
research. Both scientists in our study used an equation to create
interest, but differed in how far they were willing to follow this
unusual approach.
For example, in Yorke's earliest article, "Period Three
Implies Chaos," from 1975, Yorke used the unusual first move, then
returned to the conventional pattern. Since there was no
established field, Yorke found very little past research to draw
from to show interest in his project. Of the 17 articles he cited
after the equation, six had not yet been published, and four were
self-citations. So rather than demonstrate interest, Yorke created
it. The lure of Yorke's provocative title, which eventually gave
the phenomenon its name, is reinforced by a mathematical puzzle:
Yorke presented what seemed to be a relatively simple differential
equation, which, after several iterations, became chaotic. Yorke
then shifted to a traditional second move, establishing some ties
to his community.
Feigenbaum had a different approach. He made no attempt to
attach his research to an as-yet-insignificant past. In "Universal
Behavior" (1983), he made a bold move. In almost a reversal of the
Biblical account, he simply created chaos out of order, firmly
attaching his article to the other side of the entire enterprise of
western science since Newton. "There exist in nature processes
that can be described as complex or chaotic and processes that are
simple or orderly," he wrote. In the first move of "Quantitative
Universality" (1978), his best-known article, he set up a
fictitious population as an example of a recursion equation and
continued to use it throughout his introduction. Consequentially,
his introduction looks like a long mathematical proof rather than
a series of rhetorical moves. With the relentless logic of
mathematics and without citations, he established his claim for a
universal function. Feigenbaum's rhetorical message is clear. His
research is something completely different from what had come
before.
How well do these rhetorical moves work? From the perspective
of a straight citation count, they both work very well. Yorke's
paper has been cited over 400 times and Feigenbaum's "Quantitative
Universality" a whopping 1,100 times. (To give you an idea of how
rare that count is, the average scientific paper is cited only once
or twice per year and only two in 10,000 scientific papers are
cited more than 500 times in their lifetimes.)
Naturally, how the story is told is only one of many factors
that account for the success of an article. To determine a reader's
response to the individual rhetorical moves, we had 12 scientists
from two large state universities read aloud and comment on various
combinations of these two early articles and two more-recent
articles by the same authors.
For readers 20 years after the fact, Feigenbaum's brash
approach seemed more appropriate. One reader of the article
stated: "It reads like an announcement." Another commented: "You
rarely see papers that are constructed of raw ideas." On the other
hand, Yorke's shift back to a traditional approach seems to
backfire. For our readers, seeing the form they expected but little
new information led many of them to classify the article as
"simple," "generic," or containing "textbook information." Finally,
even the claim made in Yorke's provocative title that "Period Three
Implies Chaos" was challenged. One reader familiar with the article
noted some problems with its content, explaining: "So [Yorke's
claim] is [actually] 'Period Three Implies something,' but it's not
'Period Three Implies what-is-generally-taken-as-the-current-definition-of Chaos.'"
Perhaps this comment explains our interest in the intricate
negotiation between science and language in chaos theory. Even as
theory changes and develops, language, with its fluctuating meaning
is a constant. Yorke named the phenomenon "chaos" to attract
attention for the new enterprise. And, despite the dethroning of
Yorke's "Period Three" phenomenon, and despite some researchers who
gruffly say, "We don't call it chaos theory," chaos it remains.
So in making that journey from journal articles to Jurassic
monsters, our findings-to-date indicate that, along with presenting
interesting science, how one tells the story does seem to matter.
And a provocative name doesn't hurt.
Danette Paul is a Ph.D. candidate in English, 103 Burrowes
Building, University Park, PA 16802. This essay was prepared from
papers she presented at the 1991 Penn State Rhetoric Conference,
and the 1993 Conference on College Communications and Composition.
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