Chapter 13
FECHNER:
PSYCHOPHYSICS
Psychology
would emerge in the 1880's as an independent, scientific and academic
discipline. It claimed philosophy and
physiology as its progenitors, although it has been argued that psychology was
born of phrenology out of wedlock with science. Whatever the origins, before psychology could take the essential
step to stand on its own as an independent, scientific discipline, it had to
demonstrate how the scientific method could be applied to its
subject-matter. Both physiology and
philosophy had demonstrated their own methods for studying what we have defined
as psychological thought. Kant had said
that psychology could not be a natural science because it could not be
mathematical, it could not analyze its data and so could never be
experimental. While Herbart had
demonstrated the possibility of quantitative treatment of psychological
concepts, psychology still lacked a clearly defined set of procedures such as
those followed by physics and physiology that would allow it to be
experimental. Without an experimental
methodology, psychology would likely have remained only a subdivision of
philosophy.
It
is to G. T. Fechner that we owe much credit for laying the basis for the
application of the experimental method to psychology. His establishment of psychophysics through his publication of Elements
of Psychophysics in 1860 is a major landmark in the transition of
psychology from a scattered set of subject-matters found in several disciplines
to a relatively coherent discipline centered on the laboratory. There is some question as to the degree that
Fechner intended such an outcome, however, since his interests were not
particularly in system building or discipline building.
Engrossed
in philosophical and mystical interests, Fechner devoted several periods of his
long life to speculation and to the investigation of what seemed to him the
most fundamental problem of life--psychophysics, or the quantitative
investigation of the functional interrelations of body and mind.[1] In
spite of the arid quality of his psychophysical studies, his writings reveal a
burning enthusiasm for grappling with
the very nature of man.
Life and Careers of
Fechner
Gustav
Theodor Fechner was born in 1801 in a small village in the Wendish country of
southeastern Germany.[2] His
father was a Lutheran preacher, who died when Gustav was five years old, but
not before he had given his son a grounding in Latin. After attending the Gymnasium, Fechner in 1817 matriculated at
the University of Leipzig, an association that was to last for seventy
years. He took his degree in medicine
in 1822, but he decided against going into practice.
Even
early in his career there were some glimmerings of humanistic interests. Under the pseudonym of Dr. Mises, he
employed the weapon of satire against views with which he disagreed. The first of these satirical pieces appeared
in 1821, before his graduation; it was directed against the medical fad at that
time of using iodine for just about any ailment and was called, Proof that
Man is Made of Iodine. Occasional satirical pieces continued to
come from his pen. Earlier in the
century, there had been in Germany a resurgence of interest in materialism or
mechanism. To Fechner, materialism was a theory devoid of
truth, and several of his satires were
devoted to attacking the view that the universe is inert matter--the
"night view," as he called
it--and to a defense of the position that the universe can be regarded from the
point of view of consciousness--the "day view."
This
antimechanist position was to be a fixed point in what otherwise appears to be
a series of shifts of interest during Fechner's life. According to E.G. Boring, between 1817, when Fechner started
medical school, and his death in 1887, Fechner was successively a physiologist,
a physicist, an aestheticist and, throughout most of the later years, a
philosopher.[3]
Following his aim steadfastly through these careers, he founded
psychophysics, which in turn supplied the methodological tools necessary for
the founding of laboratory - oriented experimental psychology.
After
graduation in medicine he began his second career by studying physics. In 1824, after a period without official
appointment, he started to lecture on this subject and to conduct laboratory
investigations in electricity. In 1833
he married and the following year, when only thirty-three years old, he became
a professor of physics. His academic
future seemed secure. During these
years sheer economic necessity had led him into translating various French scientific works that served
to add to his scientific knowledge;
however, some of his means of increasing his income amounted to hack
work, such as editing and writing a considerable share of an encyclopedia of household
knowledge in eight volumes. He broke
under the strain of work and became a "nervous invalid." In general, this could be characterized as a
neurotic depression with pronounced hypochondriacal features.
In
the winter of 1839-40, a painful eye disorder developed, and he resigned his
chair in physics. Fechner had studied
after-images by staring into the sun, which undoubtedly aggravated the
condition, if it did not bring it on.
Years of suffering followed. His
eyes were so hypersensitive to light that he could not leave the house without
bandaging them, and for the rest of his life he had to curtail his
reading. Sometimes for weeks on end he
could not eat at all; he eventually found that fruit, strongly spiced raw ham,
and wine could be tolerated. He could
not talk for long periods and he thought of suicide. Some slight improvement occurred late in 1843, but it was thought
there was no chance of his regaining his health. In 1844, he received a small pension from the university, thus
establishing officially his position as an invalid. However, hardly one of his remaining forty-four years went by
without some serious contribution from his pen. There is no doubt that he really suffered, so it would be unfair
to apply to him that grand phrase, "he enjoyed poor health."
His
inability to use his eyes resulted in many hours spent in contemplation. This reinforced his speculative turn of
mind, which came to the fore as soon as he was able to resume working. He now entered the third phase of his career
and became a psychophysicist with philosophical leanings.
The
reason for his inclusion among the great psychologists lies in his connection
with psychophysics. Reserving details for later systematic and
methodological discussion, it suffices to say that he became interested to the
point of obsession in demonstrating that mind and body are aspects of a unity.[4]
Since matter (body) is not to be
denied any more than consciousness (mind), the two must be reconciled and made
one. Fundamentally, to Fechner, the
difference between mind and body, the dualism that some find, is nothing more
than a difference in point of view concerning the psychophysical entity. The mind is related to the body as the inside
of a circle is related to the outside. This makes his view a double-aspect theory, or a
psychophysical monism -- mind and body are but two aspects of a fundamental
unity. Since the two aspects are
identical, the view is also referred to as the "identity hypothesis."
The
solution, he tells us, came with dramatic suddenness on the morning of October 22, 1850.[5] In
bed, "before getting up," he realized that the law of the connection between body and mind is to be
found in a statement of the quantitative relations between mental sensation and
bodily stimulus, not in simple
proportion, but such that increases in the former correspond to proportional changes in the latter.
Ten
years later, his Elemente der Psychophysik appeared. Here he discusses the functional relations
of mind and body and reported investigations of his own and others on the
various senses--sight, sound, and the cutaneous and muscular senses.
Some
conception of Fechner's intent to measure psychological functions can be gained
by turning to his next undertaking, the study of experimental esthetics,
another field he founded. Fechner had a
deep and long-standing interest in art.
His first paper in this new career appeared in 1865 and dealt with the
"golden section," the most aesthetically pleasing relation of length
to breadth in an object. Here again, Fechner applied his exact method
to a global goal. He rebelled against
the attempt to develop an esthetics "from above down" by formulating
abstract principles of beauty by which to judge the concrete object, in the manner of the
Romanticists. Instead, he believed one
must start with simple figures. In
order to find the linear proportions an artist used, he patiently measured the
dimensions of pictures, cards, books, snuff boxes, writing paper, windows--in
fact, any object that was purported to have esthetic appeal. Thus he sought to develop an experimental
esthetics "from below."
Fechner
also became very much involved in a cause celebre of his day
concerning the authenticity of two paintings of the Madonna, each attributed
to Holbein. Although very similar, they differed in detail, and the
authenticity of each was in
dispute. Fechner inclined to the
opinion that both were authentic. There
was also a dispute over which was the more beautiful. Taking advantage of an
exhibition in which both were exhibited together, he launched what may have
been the first public opinion poll. He
made arrangements for the public to be
invited to record comments in a book placed alongside the paintings. Sparseness of returns with a
disproportionate number from art critics, who had already formed opinions, made
this particular venture a failure.
His
major book on esthetics, Vorschule der Aesthetik,[6] appeared in 1876. Its appearance also served to close his participation in esthetics. Experimental psychology as represented by
Wilhelm Wundt, now also at Leipzig, and the
intense interest of many others, protagonists as well as antagonists,
would not leave Fechner in peace to pursue his still strong philosophical
interests. He was drawn back to a
second career in psychophysics, which lasted until his death in 1887.
The Aim of Fechner
The
careers through which Gustav Fechner moved did not reflect a change in
fundamental interest. His guiding aim
was a search for an answer to an all-consuming question--the nature of the
relationship between the spiritual and material worlds. He sought a unified conception of body and
soul that, while based on mystical
speculation, also had a scientific basis.
In
the spirit of Plotinus, his spiritual ancestor of seventeen centuries before,
Fechner saw the world as a system of souls appearing to each other as
bodies. His mystical strain was
reflected in the very title of one of his
works, Zend-Avesta,
On the Things of Heaven and the
Hereafter.[7] In
this book, Fechner endowed all things with personal souls. The world is made up of external manifestations, bodies that are
correlated with internal animate realities, souls. This is panpsychism,
a theory of the world that endows plants as well as animals with some
rudimentary kind of soul. Its relation
to primitive animism is direct and obvious.
But Fechner was no simple throwback to primitive views. He argued these and related problems with subtlety
and enthusiasm.
Consonant
with the two major influences that affected him, Fechner sought precise
confirmation of these speculations. His
was a nature that asked for a relation between poetical and speculative
world-views, to be demonstrated by means of precise measurement. He made the mystical aspect his goal, to
find the relationship between body and soul and the scientific aspect his
method.[8]
Psychophysics was one way to approach the relationship.
The
starting-point for measurement of physical stimulus and mental sensation
Fechner found in the research of E. H. Weber, who was also at Leipzig.
The Influence of
Weber
Ernst
Heinrich Weber (1795-1878) had been appointed Dozent in physiology at the University of Leipzig in 1817, the
same year Fechner arrived as a medical student.[9] The
next year he was appointed Professor of Anatomy, and later in his career was
made Professor of Physiology. For many
years Weber and Fechner moved in the same academic circles and lived in the
same community.
As
a physiologist, Weber was particularly interested in touch and in the muscle
sense, hitherto relatively neglected fields of research.[10] He
wished to find smallest discriminable difference between weights, the so-called
just noticeable difference. Their task was simple. On each trial subjects lifted two weights,
one a standard weight, the other a comparison weight. On each subsequent trial the comparison weight was increased in
small gradations. The subjects reported
when the comparison weight felt heavier.
For a standard weight of, say, forty ounces, it would take a comparison
weight of forty-one ounces to be discriminated as heavier. This would produce a just noticeable
difference (JND) of one ounce. If the
standard weight were eighty ounces, however, it would take not eighty-one
ounces to be noticed as heavier as the JND would indicate but eighty-two, a JND
of two ounces. Weber found that it was
not the absolute difference in weight that led to the discrimination, but the
ratio of the JND to the standard weight.
In this case, the ratio was one-fortieth. So, if the standard weight were set to twenty ounces, one would
expect a twenty and one-half ounce weight to be discriminated as heavier, a JND
of half an ounce but still a ratio of 1/40.
This was the case.
Weber
found that the same phenomenon was found with passive weights, weights placed
on the skin rather than being lifted as in the previous experiment. The increase required for a weight to be
discriminated as different was not absolute but was in a ratio. This time it was one-thirtieth instead of
one-fortieth. The ratio of the change
required to be discriminated to the standard stimulus was found to differ from
one sense-department to another, but remained constant within a given sensory
situation. Weber also tested capacity
to discriminate length of lines and marshalled evidence on differences in the
pitch of tones. He again found constant
ratios. These ratios were found to hold
except for extremes. The ratio's broke
down for very small standard stimuli or very intense.
Fechner
reformulated Weber's ratio into the equation:
dR/R = K
in which dR is the just noticeable stimulus
increment, K is a constant, and R is the standard stimulus magnitude. In other words, when divided by the
magnitude of the standard stimulus, a stimulus increment required to give a
just noticeable difference gives a constant value. As the standard increases,
the stimulus required for a JND increases proportionately. This relationship is called Weber's law or Weber's fraction. This
fraction and Weber's measurement of just noticeable differences, the JND, is
arguably the first quantitatively determined measurement of a mental event.
Fechner's
Psychophysics
Fechner
construed Weber's results to mean that one could measure sensation as well as
the sensory stimulus and state the relation between the two in the form of an
equation.12 Fechner went on to devise more generalized
formula which he also tried to give Weber's name. This more generalized final equation, given below, has since been
called Fechner's law.
Fechner's law states the relationship
between the growth of a physical stimulus and the psychological experience of
its growth. The result of Fechner's
manipulation of Weber's law was the equation S = K log R in which S is the perceived
magnitude of the sensation, K is a constant, and R is the physical magnitude of
the stimulus. Fechner's law infers a
logarithmic relationship between the growth of physical and psychological
magnitudes.
Sensation
had been measured, and the identity hypothesis, his mind-body parallelism, so
Fechner thought, had been demonstrated.
He had found the proof for his identity hypothesis in a table of
logarithms!
Fechner's
work on discrimination was what psychophysicists called the difference threshold, which, along
with the absolute threshold (the
lowest stimulus magnitude that can be detected) and the terminal threshold (the highest level of a stimulus, such as
frequency) that can be detected) are the three fundamental measures of
classical psychophysics. In the course of
his research, Fechner developed one and systematized two other of the three
major methods of classical psychophysics.
These three are the method of limits, the method of average error, and
the method of constant stimuli. The method of average error that Fechner
developed along with his brother-in-law is the most fundamental and will be
used as an illustration. The subject
himself adjusts a variable stimulus so as to fulfill the instructions given
him--for example, to make one line appear equal to the length of a standard
line. Before him he sees a length of
line, the standard. Another line is to
be adjusted by him to be as close to the
standard in length as he can make it.
No matter how closely he approximates the line, however, an error, large
or small, will be made. Sometimes he
makes the line too long, sometimes too short, but he always makes some
error. After many trials, the average
of his errors is found, the so-called average error.
After
publication of the Elemente in 1860, interest was immediate, intense,
and widespread. Many others, seeing the
value of Fechner's work, proceeded to
carry out similar experiments.
Various controversies raged over one aspect or the other of Fechner's
formulations, but the use of psychophysical methods would be fundamental to the
creation of experimental psychology.
Ironically, with all the excitement his findings engendered, little
attention was paid to Fechner's goal for psychophysics, that is, his attempt to
find the relationship between body and soul.
Fechner
was not interested in what psychophysics became. Other researchers such as Wilhelm Wundt and the students of the
Leipzig laboratory, as well as other, developed psychophysics to the study of
changes in the physical world that could be lawfully related to changes in
sensations, perceptions and judgments.
Sensory
psychology was put on a quantitative basis with the introduction of Fechnerian
psychophysics. Psychophysics gave a
quantitative expression to measurement of the mind. No longer could it be argued that mind could not be measured, or
that mathematics could not be applied to its research study. Quantitativism and the refinement of
empiricism as expressed in a positive attitude toward experiment would
hereafter be characteristic of the psychologists to come.
Summary
Fechner's
psychophysics was his attempt to find a scientific relationship between body
and soul. He failed to do that, but in
the attempt, he devised the basic methodology that would allow mental events to
be measured quantitatively. He was
influenced by E. H. Weber, whose work on discriminability of weights led to the
formulation of Weber's law. This law
makes use of the just noticeable difference (JND), the least change in the
physical stimulus that may be detected as difference. This was perhaps the first experimentally determined,
quantitative measure of a mental event.
Fechner extended the idea of Weber's law into a formula concerning the
relationship between the increase of a stimulus magnitude and the growth of the
experience of that magnitude. That
logarithmic relationship would be called Fechner's law.
Fechner's
work led directly to the methodology and psychophysical theory that would allow
Wilhelm Wundt and other experimental psychologists to apply the experimental
method to the study of experience.
References
[1]G. T. Fechner, Elemente der
Psychophysik, 2 vols. (Leipzig:
Breitkopf and Hartel, 1860).
[2]The major source for the details of
Fechner's life was G. S. Hall, Founders of Modern Psychology
(New York: Appleton, 1912), but the
organization of the material about his life and his careers owes much to the
presentation of E. G. Boring, A History of Experimental
Psychology, 2nd ed. (New York: Appleton-Century-Crofts, 1950), pp.
275-283.
[3]Ibid., p. 283.
[4]G. T. Fechner, Elements of
Psychophysics, Vol. 1, trans. H. E. Adler, eds., E. G. Boring and D.
Howes (New York: Holt, Rinehart and
Winston, 1966), Chapter 1 (Herrnstein and Boring, Excerpt No. 107). Unfortunately the more philosophical and
mystical second volume has never been translated into English.
[5]Elemente, II, p. 554. For another view on Fechner's derivation of
his concepts, see Marilyn Marshall, "Physics, Metaphysics, and Fechner's
Psychophysics," in William R. Woodward and Mitchell G. Ash, eds., The
Problematic Science: Psychology in Nineteenth-Century
Thought. (New York: Praeger,
1982), pp. 65-87.
[6]G. T. Fechner, Vorschule der
Aesthetik (Leipzig: Breitkopf
and Hartel, 1876).
[7]G. T. Fechner, Zend-Avesta,
On the Things of Heaven and the
Hereafter (Leipzig: Woss, 1851).
[8]For a treatment of Fechner's more
mystical side, see Fechner, Das Büchlein vom Leben nach
dem Tode, (1835), trans. by Hugo Werneke as On Life After Death,
(Chicago: Open Court), 1906; William James, who thoroughly disliked Fechner's
psychophysics, praised his mystical work.
William James, Pluralistic Universe (New York: Holt, 1909) pp. 133-177.
[9]Lest the emphasis on Weber and
Fechner give a false impression about the initiation of research in the field,
one aspect, that of threshold measurement, had not waited for their work. P. P. Bouguer, Traite dé optique
sur la gradation de la lumiere
(Paris: Guerin & Delatour, 1760),
(Herrnstein and Boring, Excerpt No. 15) had already measured the differential
threshold for brightness; and C. E. J. Delezenne, "Sur les valeurs
numeriques des notes de la gamme" (Recueil des travaux de la Societe des
Sciences, de l' Agriculture et des Arts de Lille, 1827, pp. 4-6) (Herrnstein
and Boring, Excerpt No. 16) had studied the differential threshold for pitch
and was cited by Weber.
[10]E. H. Weber, "Der Tastsinn und
das Gemeingefühl," R. Wagner, ed., Handworterbuch der Physiologie
(Braunschweig: Vieweg, 1846), Vol. III,
pp. 481-588 (Herrnstein and Boring, Excerpt No. 10); E. H. Weber, De pulsu,
resorptione, auditu et tactu: annotationes anatomicae et
physiologicae (Leipzig: Koehler,
1834) (Herrnstein and Boring, Excerpt No. 17).
12G. T. Fechner, "Elements of Psychophysics," trans.
H. S. Langfeld, in B. Rand, ed., The Classical Psychologists
(Boston: Houghton Mifflin, 1912), pp.
562-572 (Herrnstein and Boring, Excerpt No. 18).