Sixteen Experimental Investigations from the Harvard Psychological Laboratory - Hugo Münsterberg (best life changing books txt) 📗
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by means of localization, and judgments that are pronounced directly
upon the subjective experience of the distance.
In the first of these experiments, in which two points of different
weight were used, the points were always taken safely outside of the
threshold for the discrimination between two points in the particular
region of the skin operated on. An inspection of the results shown in
Figs. 2 and 3 will indicate the marked tendency of the heavier point
to attract the lighter. In Figs. 2 and 3 the heavy curves were plotted
from judgments where both heavy and light points were given together.
The dotted curve represents the localization of each point when given
alone. The height of the curves at any particular point is determined
by the number of times a contact was judged to be directly under that
point. The fact that the curves are higher over the heavy points shows
that, when two points were taken as one, this one was localized in the
vicinity of the heavier point. When points were near the threshold for
any region, it will be observed that the two points were attracted to
each other. But when the points were altogether outside the threshold,
they seemed strangely to have repelled each other. As this problem lay
somewhat away from my main interest here, I did not undertake to
investigate this peculiar fluctuation exhaustively. My chief purpose
was satisfied when I found that the lighter point is displaced toward
the heavier, in short distances. A further explanation of these
figures will be given in connection with similar figures in the next
section.
[Illustration: FIG. 2. Back of hand.]
[Illustration: FIG. 3. Forearm.]
This attraction of the heavier for the lighter points is, I think, a
sufficient explanation for the variations in judgments upon filled
distances where changes are made in the place at which the pressure is
applied. I furthermore believe that an extension of this principle
offers an explanation for the underestimation of cutaneous
line-distances, which has been frequently reported from various
laboratories. Such a straight line gives a subjective impression of
being heavier at the center. I found that if the line is slightly
concave at the center, so as to give the ends greater prominence and
thereby leave the subjective impression that the line is uniform
throughout its entire length, the line will be overestimated in
comparison with a point distance. Out of one hundred judgments on the
relative length of two hard-rubber lines of 5 cm. when pressed against
the skin, one of which was slightly concave, the concave line was
overestimated eighty-four times. For sight, a line in which the shaded
part is concentrated at the center appears longer than an objectively
equal line with the shading massed towards the ends.
IV.
In the last section, I gave an account of some experiments in the
localization of touch sensations which were designed to show how,
under varying pressure, the points in the filled distance are
displaced or fused and disappear entirely from the judgment. Our
earliest experiments, it will be remembered, yielded unmistakable
evidence that short, filled distances were underestimated; while all
of the secondary experiments reported in the last section have pointed
to the conclusion that even these shorter distances will follow the
law of the longer distances and be overestimated under certain
objective conditions, which conditions are also more nearly parallel
with those which we find in the optical illusion. I wish now to give
the results of another and longer set of experiments in the
localization of a manifold of touch sensations as we find them in this
same illusion for filled space, by which I hope to prove a direct
relation between the function of localization and the spatial
functioning proper.
These experiments were made with the same apparatus and method that
were used in the previous study in localization; but instead of two
points of different weights, four points of uniform weight were
employed. This series, therefore, will show from quite another point
of view that the fusion which takes place, even where there is no
difference in the weight, is a very significant factor in judgments of
distance on the skin.
[Illustration: Fig. 4.]
I need hardly say that here, and in all my other experiments, the
subjects were kept as far as possible in complete ignorance of the
object of the experiment. This and the other recognized laboratory
precautions were carefully observed throughout this work. Four
distances were used, 4, 8, 12 and 16 cm. At frequent intervals
throughout the tests the contact was made with only one of the points
instead of four. In this way there came to light again the interesting
fact which we have already seen in the last section, which is of great
significance for my theory—that the end points are located
differently when given alone than when they are presented
simultaneously with the other points. I give a graphic representation
of the results obtained from a large number of judgments in Figs. 4, 5
and 6. These experiments with filled spaces, like the earlier
experiments, were made on the volar side of the forearm beginning near
the wrist. In each distance four points were used, equally distributed
over the space. The shaded curve, as in the previous figures,
represents the results of the attempts to localize the points when all
four were given simultaneously. In the dotted curves, the end points
were given alone. The height of the curve at any place is determined
by the number of times a point was located immediately underneath that
particular part of the curve. In Fig. 4 the curve which was determined
by the localization of the four points when given simultaneously,
shows by its shape how the points appear massed towards the center. In
Fig. 5 the curve AB shows, by its crests at A and B, that the
end points tended to free themselves from the rest in the judgments.
But if the distance AB be taken to represent the average of the
judgments upon the filled space 1, 2, 3, 4, it will be seen to be
shorter than what may be regarded as the average of the judgments upon
the corresponding open space, namely, the distance A’B’, determined
by the localizations of the end points alone. The comparative
regularity of the curve indicates that the subject was unable to
discriminate among the points of the filling with any degree of
certainty. The localizations were scattered quite uniformly along the
line. In these short distances the subject often judged four points as
two, or even one.
[Illustration: Fig. 5.]
[Illustration: Fig. 6.]
Turning to Fig. 6, we notice that the tendency is now to locate the
end points in the filled distance outside of the localization of these
same points when given without the intermediate points. It will also
be seen from the irregularities in these two longer curves that there
is now a clear-cut tendency to single out the individual points. The
fact that the curves here are again higher over point 4 simply
signifies that at this, the wrist end, the failure to discover the
presence of the points was less frequent than towards the elbow. But
this does not disturb the relation of the two series of judgments. As
I have before said, the first two sets of experiments described in
Section II. showed that the shorter filled distances are
underestimated, while the longer distances are overestimated, and that
between the two there is somewhat of an ‘indifferent zone.’ In those
experiments the judgments were made directly on the cutaneous
distances themselves. In the experiments the results of which are
plotted in these curves, the judgment of distances is indirectly
reached through the function of localization. But it will be observed
that the results are substantially the same. The longer distances are
overestimated and the shorter distances underestimated. The curves in
Figs. 4, 5 and 6 were plotted on the combined results for two
subjects. But before the combination was made the two main tendencies
which I have just mentioned were observed to be the same for both
subjects.
It will be remembered also that in these experiments, where the
judgment of distance was based directly on the cutaneous impression,
the underestimation of the short, filled distance was lessened and
even turned into an overestimation, by giving greater distinctness to
the end points, in allowing them to come in contact with the skin just
before or just after the filling. The results here are again the same
as before. The tendency to underestimate is lessened by this device.
Whenever, then, a filled space is made up of points which are
distinctly perceived as discrete—and this is shown in the longer
curves by the comparative accuracy with which the points are
located—these spaces are overestimated.
In all of these experiments on localization, the judgments were given
with open eyes, by naming the visual points under which the tactual
points seemed to lie. I have already spoken of the other method which
I also employed. This consisted in marking points on paper which
seemed to correspond in number and position to the points on the skin.
During this process the eyes were kept closed. This may appear to be a
very crude way of getting at the illusion, but from a large number of
judgments which show a surprising consistency I received the emphatic
confirmation of my previous conclusion, that filled spaces were
overestimated. These experiments were valuable also from the fact that
here the cutaneous space was estimated by the muscle sense, or active
touch, as it is called.
In the experiments so far described the filling in of the closed space
was always made by means of stationary points. I shall now give a
brief account of some experiments which I regard as very important for
the theory that I shall advance later. Here the filling was made by
means of a point drawn over the skin from one end of a two-point
distance to the other.
These experiments were made on four different parts of the skin—the
forehead, the back of the hand, the abdomen, and the leg between the
knee and the thigh. I here forsook the plan which I had followed
almost exclusively hitherto, that of comparing the cutaneous distances
with each other directly. The judgments now were secured indirectly
through the medium of visual distances. There was placed before the
subject a gray card, upon which were put a series of two-point
distances ranging from 2 to 20 cm. The two-point distances were given
on the skin, and the subject then selected from the optical distances
the one that appeared equal to the cutaneous distance. This process
furnished the judgments on open spaces. For the filled spaces,
immediately after the two-point distance was given a blunt stylus was
drawn from one point to the other, and the subject then again selected
the optical distance which seemed equal to this distance filled by the
moving point.
The results from these experiments point very plainly in one
direction. I have therefore thought it unnecessary to go into any
further detail with them than to state that for all subjects and for
all regions of the skin the filled spaces were overestimated. This
overestimation varied also with the rate of speed at which the stylus
was moved. The overestimation is greatest where the motion is slowest.
Vierordt[7] found the same result in his studies on the time sense,
that is, that the more rapid the movement, the shorter the distance
seems. But lines drawn on the skin are, according to him,
underestimated in comparison with open two-point distances. Fechner[8]
also reported that a line drawn on the skin is judged shorter than the
distance between two points which are merely touched. It will be
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