Exploratory Experimentation: Goethe, Land, and Color Theory

The style of investigation exemplified by Goethe’s experiments with color
is often undervalued, but has repeatedly proved its worth.
July 2002

https://physicstoday.scitation.org/doi/10.1063/1.1506750

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<<Contrasting research strategies

Newton’s and Goethe’s respective approaches to color illustrate two very
different approaches to experimental research. We call them theory-oriented
and exploratory experimentation. Theory-oriented experimentation is often
regarded as the only relevant kind: It corresponds roughly to the
“standard” view in the philosophy of science that experiments are designed
with previously formulated theories in mind and serve primarily to test or
demonstrate them. Such a view was stated forcefully by Karl Popper, who
wrote, “The theoretician puts certain definite questions to the
experimenter, and the latter, by his experiments, tries to elicit a
decisive answer to these questions, and to no others. … Theory dominates
the experimental work from its initial planning up to the finishing touches
in the laboratory.” According to this view, it makes sense to perform an
isolated experiment, and in particular an experimentum crucis, designed to
judge between competing hypotheses. Newton largely followed such an
approach in his experiments on color.

By contrast, exploratory experimentation has been relatively neglected by
historians and philosophers of science. Its defining characteristic is the
systematic and extensive variation of experimental conditions to discover
which of them influence or are necessary to the phenomena under study. The
focus is less on the connection between isolated experiments and an
overarching theory, and more on the links among related experiments.
Exploratory experimentation aims to open up the full variety and complexity
of a field, and simultaneously to develop new concepts and categories that
allow a basic ordering of that multiplicity. Exploratory experimentation
typically comes to the fore in situations in which no well-formed
conceptual framework for the phenomena being investigated is yet available;
instead, experiments and concepts co-develop, reinforcing or weakening each
other in concert.

Exploratory experimentation often results in the establishment of a
hierarchy within a realm of phenomena. At the pinnacle are those
phenomena—Goethe calls them primordial—that involve only the essential
conditions and that are therefore attributed a special status. All other
effects can be deduced or explained from those elementary ones by
progressively complicating the experimental arrangement and adding new
conditions. The connection between a particular effect and an elementary
phenomenon is revealed by establishing a chain of intermediate effects. In
his methodological essay The Experiment as Mediator Between Object and
Subject, Goethe described the result of such an approach as a “series of
experiments that border on one another closely and touch each other
directly; and which indeed, if one knows them all exactly and surveys them,
constitute as it were a single experiment….” He regarded this care to
connect the “closest to the closest” as an experimental analog of
mathematical deduction, which “on account of its deliberateness and purity
reveals every leap into assertion.” In that context, isolated experiments
are not very informative, let alone demonstrative, as they well might be in
theory-oriented work. The difference is nicely illustrated by the exchange
between Newton and an early critic, the Liège Jesuit Anthony Lucas, who
brought forward many new experiments (including variations of Newton’s
own), which he claimed could not be accounted for by Newton’s theory.
Newton’s response was to insist that one “try only the experimentum crucis
[Opticks, book 1, part 1, experiment 6],” for “where one will do, what need
of many?” >>

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