Sixteen Experimental Investigations from the Harvard Psychological Laboratory, Hugo Münsterberg [top fiction books of all time TXT] 📗
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the Vexirfehler. According to this definition, when the
Vexirfehler appears we should have to say that one point is above
the threshold for twoness, which is a queer contradiction, to say the
least. It follows that all of the elaborate and painstaking
experiments to determine a threshold are useless. That is, the
threshold determinations do not lead us beyond the determinations
themselves.
In order to explain the fact that a person sometimes fails to
distinguish between one point and two points near together, it has
been suggested that the sensations fuse. This, I suppose, means either
that the peripheral processes coalesce and go to the center as a
single neural process, or that the process produced by each stimulus
goes separately to the brain and there the two set up a single
activity. Somewhat definite ‘sensory circles,’ even, were once
believed in.
If the only fact we had to explain was that two points are often
thought to be one when they are near together, ‘fusion’ might be a
good hypothesis, but we have other facts to consider. If this one is
explained by fusion, then the mistaking of one point for two must be
due to diffusion of sensations. Even that might be admissible if the
Vexirfehler were the only phenomenon of this class which we met. But
it is also true that several contacts are often judged to be more than
they actually are, and that hypothesis will not explain why certain
arrangements of the stimulating objects are more likely to bring about
that result than others. Still more conclusive evidence against
fusion, it seems to me, is found in the fact that two points, one on
each hand, may be perceived as one when the hands are brought
together. Another argument against fusion is the fact that two points
pressed lightly may be perceived as one, and when the pressure is
increased they are perceived as two. Strong pressures should fuse
better than weak ones, and therefore fusion would imply the opposite
results. Brückner[1] has found that two sensations, each too weak to
be perceived by itself, may be perceived when the two are given
simultaneously and sufficiently near together. This reënforcement of
sensations he attributes to fusion. But we have a similar phenomenon
in vision when a group of small dots is perceived, though each dot by
itself is imperceptible. No one, I think, would say this is due to
fusion. It does not seem to me that we need to regard reënforcement as
an indication of fusion.
[1] Brückner, A.: ‘Die Raumschwelle bei Simultanreizung,’
Zeitschrift für Psychologie, 1901, Bd. 26, S. 33.
My contention is that the effects sometimes attributed to fusion and
diffusion of sensations are not two different kinds of phenomena, but
are identical in character and are to be explained in the same way.
Turning now to the explanation of the special experiments, we may
begin with the Vexirfehler.[2] It seems to me that the Vexirfehler
is a very simple phenomenon. When a person is stimulated with two
objects near together he attends first to one and then to the other
and calls it two; then when he is stimulated with one object he
attends to it, and expecting another one near by he hunts for it and
hits upon the same one he felt before but fails to remember that it is
the same one, and hence thinks it is another and says he has felt two
objects. Observers agree that the expectation of two tends to bring
out the Vexirfehler. This is quite natural. A person who expects two
and receives one immediately looks about for the other without waiting
to fixate the first, and therefore when he finds it again he is less
likely to recognize it and more likely to think it another point and
to call it two. Some observers[3] have found that the apparent
distance of the two points when the Vexirfehler appears never much
exceeds the threshold distance. Furthermore, there being no distinct
line of demarcation between one and two, there must be many sensations
which are just about as much like one as they are like two, and hence
they must be lumped off with one or the other group. To the
mathematician one and two are far apart in the series because he has
fractions in between, but we perceive only in terms of whole numbers;
hence all sensations which might more accurately be represented by
fractions must be classed with the nearest whole number. A sensation
is due to a combination of factors. In case of the Vexirfehler one
of these factors, viz., the stimulating object, is such as to suggest
one, but some of the other conditions—expectation, preceding
sensation, perhaps blood pressure, etc.—suggest two, so that the
sensation as a whole suggests one-plus, if we may describe it that
way, and hence the inference that the sensation was produced by two
objects.
[2] Tawney, Guy A.: ‘Ueber die Wahrnehmung zweier Punkte
mittelst des Tastsinnes mit Rücksicht auf die Frage der Uebung
und die Entstehung der Vexirfehler,’ Philos. Stud., 1897, Bd.
XIII., S. 163.
[3] See Nichols: ‘Number and Space,’ p. 161. Henri, V., and
Tawney, G.: Philos. Stud., Bd. XI., S. 400.
This, it seems to me, may account for the appearance of the
Vexirfehler, but why should not the subject discover his error by
studying the sensation more carefully? He cannot attend to two things
at once, nor can he attend to one thing continuously, even for a few
seconds. What we may call continuous attention is only a succession of
attentive impulses. If he could attend to the one object continuously
and at the same time hunt for the other, I see no reason why he should
not discover that there is only one. But if he can have only one
sensation at a time, then all he can do is to associate that
particular sensation with some idea. In the case before us he
associates it with the idea of the number two. He cannot conceive of
two objects unless he conceives them as located in two different
places. Sometimes a person does find that the two objects of his
perception are both in the same place, and when he does so he
concludes at once that there is but one object. At other times he
cannot locate them so accurately, and he has no way of finding out the
difference, and since he has associated the sensation with the idea of
two he still continues to call it two. If he is asked to locate the
points on paper he fills out the figure just as he fills out the
blind-spot, and he can draw them in just the same way that he can draw
lines which he thinks he sees with the blind-spot, but which really
he only infers.
Any sensation, whether produced by one or by many objects, is one, but
there may be a difference in the quality of a sensation produced by
one object and that of a sensation produced by more than one object.
If this difference is clear and distinct, the person assigns to each
sensation the number he has associated with it. He gives it the name
two when it has the quality he has associated with that idea. But the
qualities of a sensation from which the number of objects producing it
is inferred are not always clear and distinct. The quality of the
sensation must not be confused with any quality of the object. If we
had to depend entirely on the sense of touch and always remained
passive and received sensations only when we were touched by
something, there is no reason why we should not associate the idea of
one with the sensation produced by two objects and the idea of two
with that produced by one object—assuming that we could have any idea
of number under such circumstances. The quality of a sensation from
which number is inferred depends on several factors. The number itself
is determined by the attitude of the subject, but the attitude is
determined largely by association. A number of facts show this. When a
person is being experimented on, it is very easy to confuse him and
make him forget how two feel and how one feels. I have often had a
subject tell me that he had forgotten and ask me to give him two
distinctly that he might see how it felt. In other words, he had
forgotten how to associate his ideas and sensations. In developing the
Vexirfehler I found it much better, after sufficient training had
been given, not to give two at all, for it only helped the subject to
perceive the difference between two and one by contrast. But when one
was given continually he had no such means of contrast, and having
associated the idea of two with a sensation he continued to do so. The
one subject with whom I did not succeed in developing the
Vexirfehler to any great extent perceived the difference by
comparing the sensation with one he had had some time before. I could
get him, for a few times, to answer two when only one was given, but
he would soon discover the difference, and he said he did it by
comparing it with a sensation which he had had some time before and
which he knew was two. By this means he was able to make correct
associations when otherwise he would not have done so. It has been
discovered that when a subject is being touched part of the time with
two and part of the time with one, and the time it takes him to make
his judgments is being recorded, he will recognize two more quickly
than he will one if there is a larger number of twos in the series
than there is of ones. I do not see how this could be if the sensation
of two is any more complex than that of one. But if both sensations
are units and all the subject needs to do is to associate the
sensation with an idea, then we should expect that the association he
had made most frequently would be made the most quickly.
If the feeling of twoness or of oneness is anything but an inference,
why is it that a person can perceive two objects on two fingers which
are some distance apart, but perceives the same two objects as one
when the fingers are brought near together and touched in the same
way? It is difficult to see how bringing the fingers together could
make a sensation any less complex, but it would naturally lead a
person to infer one object, because of his previous associations. He
has learned to call that one which seems to occupy one place. If two
contacts are made in succession he will perceive them as two because
they are separated for him by the time interval and he can perceive
that they occupy different places.
When two exactly similar contacts are given and are perceived as one,
we cannot be sure whether the subject feels only one of the contacts
and does not feel the other at all, or feels both contacts and thinks
they are in the same place, which is only another way of saying he
feels both as one. It is true that when asked to locate the point he
often locates it between the two points actually touched, but even
this he might do if he felt but one of the points. To test the matter
of errors of localization I have made a few experiments in the
Columbia University laboratory. In order to be sure that the
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