[Illustration: _Fig. 25.--Illusion of Length._]
The variation of the vague mental standard which we unconsciously employ
seems to be governed by a law of very wide if not universal application.
Though this law is in itself simple and intelligible enough, it cannot
easily be formulated in terms of adequate generality. The best result of
my efforts is the following unwieldy statement:--The mental standard which
is applied in the estimation of a quality or a condition tends to
assimilate itself, as regards the quality or condition in question, to the
object or other entity under comparison of which the same (quality or
condition) is an attribute.
In plainer but less precise language, there is a disposition to minimise
extremes of whatever kind; to underestimate any deviation from a mean or
average state of things, and consequently to vary our conception of the
mean or standard condition in such a manner that the deviation from it
which is presented to our notice in any particular instance may seem to be
small rather than large.
Thus, when we look at a thing which impresses us as being long or tall,
the mental standard of length is at once increased. It is as if, in
making a physical measurement, our foot rule were automatically to add
some inches to its length, while still supposed to represent a standard
foot: clearly anything measured by means of the augmented rule would seem
to contain a fewer number of feet, and, therefore, to be shorter than if
the rule had not undergone a change.
It is not an uncommon thing for people visiting Switzerland for the first
time to express disappointment at the apparently small height of the
mountains. A mountain of 10,000 feet certainly does not seem to be twenty
times as lofty as a hill of 500. The fact is that a different scale of
measurement is applied in the two cases; though the observer is unaware of
it, the mountain is estimated in terms of a larger unit than the hill.
[Illustration: _Fig. 26.--Illusion of Length._]
If we mentally compare two adjacent things of unequal length, such as the
two straight lines in Fig. 26, there is a tendency to regard the shorter
one as longer than it would appear if seen alone, and the longer one as
shorter. The lower of the two lines in the figure is just twice as long as
the other, but it does not look so; each is regarded as differing less
than it really does from an imaginary line of intermediate length.
[Illustration: _Fig. 27.--Illusion of Length._]
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