Sixteen Experimental Investigations from the Harvard Psychological Laboratory by Hugo Münsterberg (good novels to read in english TXT) 📖
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would tend to some extent to prevent this inhibition. For this reason
we might well expect to find the error in estimation more variable,
the ‘constant error’ in general greater, and the specific effects of
variations which would affect the peripheral muscles, more marked in
‘tactual’ time than in either ‘auditory’ or ‘optical’ time. Certainly
all these factors appear surprisingly large in these experiments.
It is not possible to ascertain to how great an extent subject Sh
inhibited the more external sensations, but certainly if he succeeded
to an unusual degree in so doing, that fact would explain the absence
of effect of stimulation difference in his case.
Explanation has still to be offered for the variable effect of
intensity difference upon the second interval. According to all
subjects except Sn, there is a radical difference in attitude in the
two intervals. In the first interval the subject is merely observant,
but in the second he is more or less reproductive. That is, he
measures off a length which seems equal to the standard, and if the
stimulation does not come at that point he is prepared to judge the
interval as ‘longer,’ even before the third stimulation is given. In
cases, then, where the judgment with equal intensities would be
‘longer,’ we might expect that the actual strengthening or weakening
of the final tap would make no difference, and that it would make very
little difference in other cases. But even here the expectation of the
intensity is an important factor in determining tension changes,
although naturally much less so than in the first interval. So we
should still expect the lengthening of the second interval.
We must remember, however, that, as we noticed in discussing the
experiments of Group 2, there is complicated with the lengthening
effect of a change the bare constant error, which appears even when
the three stimulations are similar in all respects except temporal
location. Compare WWW with SSS, and we find that with all five
subjects the constant error is decidedly changed, being even reversed
in direction with three of the subjects.
Now, what determines the direction of the constant error, where there
is no pause between the intervals? Three subjects reported that at
times there seemed to be a slight loss of time after the second
stimulation, owing to the readjustment called for by the change of
attitude referred to above, so that the second interval was begun, not
really at the second stimulation, but a certain period after it. This
fact, if we assume it to be such, and also assume that it is present
to a certain degree in all observations of this kind, explains the
apparent overestimation of the first interval. Opposed to the factor
of loss of time there is the factor of perspective, by which an
interval, or part of an interval, seems less in quantity as it recedes
into the past. The joint effect of these two factors determines the
constant error in any case where no pause is introduced between ST
and CT. It is then perfectly obvious that, as the perspective factor
is decreased by diminishing the intervals compared, the constant error
must receive positive increments, i.e., become algebraically
greater; which corresponds exactly with the results obtained by
Vierordt, Kollert, Estel, and Glass, that under ordinary conditions
long standard intervals are comparatively underestimated, and short
ones overestimated.
On the other hand, if with a given interval we vary the loss of time,
we also vary the constant error. We have seen that a change in the
intensity of the stimulations, although the relative intensity of the
three remains constant, produces this variation of the constant error;
and the individual differences of subjects with regard to sensibility,
power of attention and inhibition, and preferences for certain
intensities, lead us to the conclusion that for certain subjects
certain intensities of stimulation make the transition from the
receptive attitude to the reproductive easiest, and, therefore, most
rapid.
Now finally, as regards the apparent failure of the change in SSW to
lengthen the second interval, for which we are seeking to account; the
comparatively great loss of time occurring where the change of
attitude would naturally be most difficult (that is, where it is
complicated with a change of attention from a strong stimulation to
the higher key of a weak stimulation) is sufficient to explain why
with most subjects the lengthening effect upon the second interval is
more than neutralized. The individual differences mentioned in the
preceding paragraph as affecting the relation of the two factors
determining the constant error, enter here of course to modify the
judgments and cause disagreement among the results for different
subjects.
Briefly stated, the most important points upon which this discussion
hinges are thus the following: We have shown—
1. That the introduction of either a local difference or a
difference of intensity in the tactual stimulations limiting
an interval has, in general, the effect of causing the
interval to appear longer than it otherwise would appear.
2. That the apparent exceptions to the above rule are, (a)
that the increase of the local difference in the first
interval, the stimulated areas remaining unchanged, produces a
slight decrease in the subjective lengthening of the
interval, and (b) that in certain cases a difference in
intensity of the stimulations limiting the second interval
apparently causes the interval to seem shorter than it
otherwise would.
3. That the ‘constant error’ of time judgment is dependent
upon the intensity of the stimulations employed, although the
three stimulations limiting the two intervals remain of equal
intensity.
To harmonize these results we have found it necessary to assume:
1. That the length of a time interval is perceived as the
amount of change in the sensation-complex corresponding to
that interval.
2. That the so-called ‘constant error’ of time estimation is
determined by two mutually opposing factors, of which the
first is the loss of time occasioned by the change of
attitude at the division between the two intervals, and the
second is the diminishing effect of perspective.
It is evident, however, that this last assumption applies only
to the conditions under which the results were obtained,
namely, the comparison of two intervals marked off by three
brief stimulations.
*
PERCEPTION OF NUMBER THROUGH TOUCH.
BY J. FRANKLIN MESSENGER.
The investigation which I am now reporting began as a study of the
fusion of touch sensations when more than two contacts were possible.
As the work proceeded new questions came up and the inquiry broadened
so much that it seemed more appropriate to call it a study in the
perception of number.
The experiments are intended to have reference chiefly to three
questions: the space-threshold, fusion of touch sensations, and the
perception of number. I shall deny the validity of a threshold, and
deny that there is fusion, and then offer a theory which attempts to
explain the phenomena connected with the determination of a threshold
and the problem of fusion and diffusion of touch sensations.
The first apparatus used for the research was made as follows: Two
uprights were fastened to a table. These supported a cross-bar about
ten inches from the table. To this bar was fastened a row of steel
springs which could be pressed down in the manner of piano keys. To
each of these springs was fastened a thread which held a bullet. The
bullets, which were wrapped in silk to obviate temperature sensations,
were thus suspended just above the fingers, two over each finger. Each
thread passed through a small ring which was held just a little above
the fingers. These rings could be moved in any direction to
accommodate the bullet to the position of the finger. Any number of
the bullets could be let down at once. The main object at first was to
learn something about the fusion of sensations when more than two
contacts were given.
Special attention was given to the relation of the errors made when
the fingers were near together to those made when the fingers were
spread. For this purpose a series of experiments was made with the
fingers close together, and then the series was repeated with the
fingers spread as far as possible without the subject’s feeling any
strain. Each subject was experimented on one hour a week for about
three months. The same kind of stimulation was given when the fingers
were near together as was given when they were spread. The figures
given below represent the average percentage of errors for four
subjects.
Of the total number of answers given by all subjects when the fingers
were close together, 70 per cent. were wrong. An answer was called
wrong whenever the subject failed to judge the number correctly. In
making out the figures I did not take into account the nature of the
errors. Whether involving too many or too few the answer was called
wrong. Counting up the number of wrong answers when the fingers were
spread, I found that 28 per cent. of the total number of answers were
wrong. This means simply that when the fingers were near together
there were more than twice as many errors as there were when they were
spread, in spite of the fact that each finger was stimulated in the
same way in each case.
A similar experiment was tried using the two middle fingers only. In
this case not more than four contacts could be made at once, and hence
we should expect a smaller number of errors, but we should expect
still to find more of them when the fingers are near together than
when they are spread. I found that 49 per cent. of the answers were
wrong when the fingers were near together and 20 per cent. were wrong
when they were spread. It happens that this ratio is approximately the
same as the former one, but I do not regard this fact as very
significant. I state only that it is easier to judge in one case than
in the other; how much easier may depend on various factors.
To carry the point still further I took only two bullets, one over the
second phalanx of each middle finger. When the fingers were spread the
two were never felt as one. When the fingers were together they were
often felt as one.
The next step was to investigate the effect of bringing together the
fingers of opposite hands. I asked the subject to clasp his hands in
such a way that the second phalanges would be about even. I could not
use the same apparatus conveniently with the hands in this position,
but in order to have the contacts as similar as possible to those I
had been using, I took four of the same kind of bullets and fastened
them to the ends of two æsthesiometers. This enabled me to give four
contacts at once. However, only two were necessary to show that
contacts on fingers of opposite hands could be made to ‘fuse’ by
putting the fingers together. If two contacts are given on contiguous
fingers, they are quite as likely to be perceived as one when the
fingers are fingers of opposite hands, as when they are contiguous
fingers of the same hand.
These results seem to show that one of the important elements of
fusion is the actual space relations of the points stimulated. The
reports of the subjects also showed that generally and perhaps always
they located the points in space and then remembered what finger
occupied that place. It was not uncommon for a subject to report a
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