In the 3 Standard Stoppages, Duchamp takes the three threads and uses Poincaré's scheme to
verify probabilistic systems of chance. Duchamp writes,
The Idea of the Fabrication
-- if a straight horizontal thread one meter long falls from a height of one meter onto a horizontal
plane distorting itself as it pleases and creates a new shape of the measure of length
-- 3 patterns obtained in more or less the similar conditions: considered in their relation
to one another they are an approximate reconstitution of the measure of length.
-- the 3 standard stoppages are the meter diminished (Bonk, 1989,
p 218). (Emphasis original).
Duchamp emphasizes that it is the relation among the three thread events, in approximate
reconstitution of his measure system, that "diminishes" the authority of the meter.
Duchamp tells us that his new measurement scheme is, like Poincaré's, a qualitative system taking
the approximate relation among events as the measure, instead of the quantitative method of
the meter. Duchamp states:
I'd say the Three Stoppages of 1913 is my most important work. That was really when I tapped
the mainstream of my future. In itself it was not an important work of art, but for me it opened
the way -- the way to escape from those traditional methods of expression long associated with
art ... For me the Three Stoppages was a first gesture liberating me from the
past (Moure, 1984, p 232).
Elsewhere, Duchamp elaborates on this:
This experiment was made in 1913 to imprison and preserve forms obtained
through chance, through my chance, at the same time, the unit of length: one meter was changed
from a straight line to a curved line without actually losing its identity (as) the meter,
and yet casting a pataphysical doubt on the concept of a straight line as being the shortest
route from one point to another (d'Harnoncourt, McShine, 1973A, pp 273-274).
Duchamp's idea seems similar to that of Poincaré (1902/1952)
demonstrating that the curved space of non-Euclidean geometry, and the different convention
of straight lines in Euclidean geometry, yield two worlds that are connected and interchangeable
in the mind, given familiarity with the
rules of both systems and the right geometric method for moving from one system to the other
(Poincaré, 1902, p 43).6
Duchamp states that he captured and froze the three thread
forms -- and that, despite the general laws of chance, and the chance in his individual efforts,
similarity and continuity remained evident across the forms. The line of the meter (Euclidean)
smoothly meets, in continuity, the curves of another new geometry (non-Euclidean). The new geometry
teaches us, as Duchamp stated, that we should doubt any single system, for even though the smooth curves
of the threads meet the lines in continuity, the differences are important. Duchamp gives the key case
that distinguishes the new geometries (with non-Euclidean and Poincaré's new qualitative methods
as examples) from the old, Euclidean, metric quantitative system. Duchamp states that even though
the meter doesn't completely "lose its identity" (meaning that, from the perspective of the
new, we can still see the old), our "doubt" must lead us to give up our belief in
the absoluteness of the old perspective of the meter. The new perspective of non-Euclidean geometry
in Duchamp's experiment, demonstrates (as the discovery of non-Euclidean geometry actually
did) that "the shortest route from one point to another" in curved space is not a line.
Poincaré had argued that, to do empirical science, we must do experiments, and from these experiments
create new measuring systems. Duchamp, in the 3 Standard Stoppages, performs his experiments
and derives a result that makes a qualitative measurement system sensitive to relations among events
of chance despite coexisting differences. Duchamp's measuring sticks, based upon the lines and curves
created by the chance dropping of threads, becomes his new qualitative system (measuring sticks
that he used later in his Large Glass and
Tu m' painting.) His wooden qualitative
meter sticks "measure" by indicating similarities or unities across scales, despite
chance and complex variations or irregularities.
This process of mending similarities among events (individual facts and perspectives) is analogous to
the invisible mending (as in the French word stoppage) of perspectives in the unconscious.
One might say that an invisible mending among events, despite their differences, represents what we must
do to make any generalization. The important thing is to choose an emerging similarity that floats
above apparent differences. The 3 Standard Stoppages is a tool box for making generalizations.
We have both a readymade (from Duchamp's unconscious mind) that he used to test his
Poincaré discovery, and his actual measuring system within the creative process for detecting
new generalizations emerging from facts. Since laws and generalizations come and go, Duchamp has poetically
given us the tools that he or anyone needs for making discoveries -- experiments (three trials
resulting in three facts that allow us to generalize), and new meter sticks (to measure
qualitative similarity needed for making generalizations).
Part II
of Rhonda Roland Shearer's was originally published in
Art & Academe (ISSN: 1040-7812), Vol. 10, No. 2 (Fall 1998): 76-95.
Copyright © 1997 Visual Arts Press Ltd.
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