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MENTAL FURNITURE #10
The Fechner Weber Principle
©1997 Dennis Leri
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WEBER-FECHNER PRINCIPLE: An approximate psychological law relating
the degree of response or sensation of a sense organ and the intensity
of the stimulus. The law asserts that equal increments of sensation are
associated with equal increments of the logarithm of the stimulus, or
that the just noticeable difference in any sensation results from a
change in the stimulus which bears a constant ratio to the value of the
stimulus.
In the bright midday sun you light a candle. Does anyone notice it
getting brighter? Will you identify my voice if I call you on your
cellular phone at a rock concert? You're carrying the downside of a
refrigerator up a flight of stairs and someone puts a hammer on the
fridge, do you sense the difference? Mostly, the Fechner Weber
Principle or Law holds that you won't notice a difference. Moshe
Feldenkrais invoked the Fechner Weber Law in discussing the necessity
of reducing effort while learning. The Fechner Weber principle marked
the beginning of the science of psychophysiology and yet all its
implications have not been played out in that field.
Ernst Heinrich Weber (1795-1878) was the German anatomist and
physiologist who first introduced the concept of the just-noticeable
difference, that is, the smallest difference perceivable between two
similar stimuli. Weber was a professor at the University of Leipzig
from 1818 until 1871. He is known chiefly for his work on sensory
response to weight, temperature, and pressure; he described a number of
his experiments in this area in De
Tactu (1834;"Concerning Touch"). Weber determined that there
was a threshold of sensation that must be passed before an increase in
the intensity of any stimulus could be detected; the amount of increase
necessary to create sensation was the just-noticeable difference. He
further observed that the difference was a ratio of the total intensity
of sensation, rather than an absolute figure; thus, a greater weight
must be added to a 100-pound load than to a 10-pound load for a man
carrying the load to notice the change. Similar observations were made
on other senses, including sight and hearing. Weber also described a
terminal threshold for all senses, the maximum stimulus beyond which no
further sensation could be registered.
Weber's findings were elaborated in Der
Tastsinn und das Gemeingefühl (1851; "The Sense of Touch
and the Common Sensibility"), which was considered to be "the
foundation stone of experimental psychology." Weber's empirical
observations were expressed mathematically by Gustav Theodor Fechner,
who called his formulation Weber's law.
Gustav Theodor Fechner (1801-1887) was a German physicist and
philosopher and a key figure in the founding of psychophysics, the
science concerned with quantitative relations between sensations and
the stimuli producing them. At the age of 16 he enrolled in medicine at
the University of Leipzig where he studied anatomy under
Weber. No sooner had he received his medical degree, however, than his
interest began to shift toward physics and mathematics.
Fechner's psychological interests began to manifest themselves toward
the end of the 1830's in papers on the perception of complementary and
subjective colors. In 1840, the year in which an article on subjective
afterimages appeared, Fechner suffered a nervous collapse. Exacerbated
by a painful injury to the eyes sustained while gazing at the sun
during his research, Fechner's ailment manifested itself in temporary
blindness and prostration. He resigned his position at Leipzig and went
into a lengthy period of virtual seclusion during which his interests
turned increasingly toward metaphysics. In 1848, the year of his return
to the University as Professor of Philosophy, he completed Nanna, a
metaphysical treatise that contains his first explicit, philosophical
treatment of the problem of the relationship of mind to body.
In Nanna, and in the more
important Zend-Avesta (1851),
Fechner sketched out a dual-aspect, monistic, pan-psychical mind/body
view. In a famous metaphor Fechner likened the universe, which is at
one and the same time both active consciousness and inert matter, to a
curve that can be regarded from one point of view as convex and from
another as concave yet still retains its essential integrity. In line
with this approach to mind/body, Fechner laid out a future program for
psychophysics -- to demonstrate the unity of mind and body empirically
by relating increase in bodily energy to corresponding increase in
mental intensity.
Between 1851 and 1860, Fechner worked out the rationale for measuring
sensation indirectly in terms of the unit of just noticeable difference
between two sensations, developed his three basic psychophysical
methods (just noticeable differences, right and wrong cases, and
average error) and carried out the classical experiments on tactual and
visual distance, visual brightness, and lifted weights that formed a
large part of the first of the two volumes of the Elemente der Psychophysik.
Fechner's aim in the Elemente
was to establish an exact science of the functional relationship
between physical and mental phenomena. Distinguishing between inner
(the relation between sensation and nerve excitation) and outer (the
relation between sensation and physical stimulation) psychophysics,
Fechner formulated his famous principle that the intensity of a
sensation increases as the log of the stimulus (S = k log R) to
characterize outer psychophysical relations. In doing so, he believed
that he had arrived at a way of demonstrating a fundamental
philosophical truth: mind and matter are simply different ways of
conceiving of one and the same reality.
While the philosophical message of the Elemente was largely ignored, its
methodological and empirical contributions were not. Fechner may have
set out to counter materialist metaphysics; but he was a well-trained,
systematic experimentalist and a competent mathematician and the impact
of his work on scientists was scientific rather than metaphysical. He
combined methodological innovation in measurement with careful
experimentation. Mental events could, Fechner showed, not only be
measured, but measured in terms of their relationship to physical
events. In achieving this milestone, Fechner demonstrated the potential
for quantitative, experimental exploration of the phenomenology of
sensory experience and established psychophysics as one of the core
methods of the newly emerging scientific psychology. Later research has
shown, however, that Fechner's equation is applicable within the mid
range of stimulus intensity and then holds only approximately true.
He later delved into experimental aesthetics and sought to determine by
actual measurements which shapes and dimensions are most aesthetically
pleasing. He was also a proponent of panpsychism (from Greek pan,
'all'; psyche, 'soul'), a philosophical theory asserting that a
plurality of separate and distinct psychic beings or minds constitute
reality. Panpsychism is distinguished from hylozoism (all matter is
living) and pantheism (everything is God). For Gottfried Wilhelm
Leibniz, the 17th-century German philosopher and a typical panpsychist,
the world is composed of atoms of energy that are psychic. These monads
have different levels of consciousness: in inorganic reality they are
sleeping, in animals they are dreaming, in human beings they are
waking; God is the fully conscious monad.
In 19th-century Germany, Arthur Schopenhauer asserted that the inner
nature of all things is will -- a panpsychistic thesis. And Gustav
Theodor Fechner, the founder of experimental psychology and an ardent
defender of panpsychism, contended that even trees are sentient and
conscious. In the United States, Josiah Royce, an absolute idealist,
not only followed Fechner in affirming that heavenly bodies have souls
but also adopted a unique theory that each species of animal is a
single conscious individual -- incorporating into itself the individual
souls of each of its members.
So, now we are able to place the Fechner Weber Principle in its proper
historical context. While the metaphysical implications of the
principle were important to Fechner, its impact on his contemporaries
was decidedly methodological. We can appreciate it as the first attempt
to scientifically coalesce or imbricate the material and the mental.
Specifying just noticeable differences in any sensation, that is,
heavier, brighter, louder to be the result of a change in a stimulus
bearing a constant ratio to the value of the stimulus the Fechner Weber
Principle relates quantities to qualities. The Feldenkrais Method
raises the question, when contemplating the Fechner Weber principle,
just how is it that we can lower the background stimulation to enable
us to detect just noticeable differences at lower thresholds. While
learning with reduced effort is its own reward, somehow the different
strata of our experience are reconfigured via a Feldenkrais lesson. In
reconfiguring previous configurations we are face to face, so to speak,
with the most intimate dynamical machinations of habit.
We know from our reading of Piaget that as we act so we sense, or even
that action is cognition. Our experience, being grounded in the sensory
motor substrate, is plastic and amenable to great variation. Sensory
motoric operations are grounded in evolutionary processes. The habits
of the species, the so called phylogenetic learnings and learning
processes, make it possible to sequence and stratify our actions so
that we can maintain sentience and participate in acculturation. The
habits of a culture as enacted by each of us are the so called
ontogenetic learnings. All the contingencies of life -- diet, locale,
ancestors, etc. -- impact our personal history. Our personal history is
encoded in the temporalizations and spatializations signified by what
we attend to and what we can attend to. We live in the textures of the
upsurge of phenomenal existence. The generic possibilities of bright or
dark, hot or cold, wet or dry, smooth or rough, sudden or slow and so
on are instantiated in the unexpected reflection of the sun in a
window, the coolness of the morning fog, the dryness of the flour
diminishing as it changes to dough and so on. Sensing differences is a
function of the intensity of a stimulus relative to the intensity of
the ongoing level of stimulation. Interpreting those differences makes
them meaningful. No differences, no meaning.
By design, a Feldenkrais lesson evokes the archaic phylogenetic
dynamics of organic learning. Those species specific processes are, in
our personal history, often poorly integrated and socialized. Lessons
resocialize them. By intelligently reshuffling the phylogenetic and the
ontogenetic we can do more with less effort. We reset the change point
at which we can detect just noticeable differences. New distinctions
can be drawn because of newly differentiated sensory motoric
operations. Our attention is drawn to different differences. Thresholds
below which we perceive nothing and above which perceive something are
shifted.
If philosophers forever ponder the question "Why is there something
rather than nothing?" thinkers and researchers from Weber to Fechner to
Moshe Feldenkrais have begun to ask and answer the question "How there
is something rather than nothing?" In-habiting the world means living
in it. A habitat is a house. The Fechner Weber Principle is a habit our
species uses to live in this world. The various set points of
background stimulation to emergent percept are established by us as
learned habits. As Feldenkrais practitioners we can, through the means
at our disposal, use our species specific set of habits to reorganize
our socially acquired habits. Learning is habit forming.
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