The mutual equivalencies of the distance-dimension with the up-and-down
and right-to-left dimensions of the field of view can easily be settled
without resorting to experiences of touch. A being reduced to a single
eyeball would perceive the same tridimensional world which we do, if he
had our intellectual powers. For the _same moving things_, by
alternately covering different parts of his retina, would determine the
mutual equivalencies of the first two dimensions of the field of view;
and by exciting the physiological cause of his perception of depth in
various degrees, they would establish a scale of equivalency between the
first two and the third.
First of all, one of the sensations given by the object would be chosen
to represent its 'real' size and shape, in accordance with the
principles so lately laid down. One sensation would measure the 'thing'
present, and the 'thing' would measure the other sensations--the
peripheral parts of the retina would be equated with the central by
receiving the image of the same object. This needs no elucidation in
case the object does not change its distance or its front. But suppose,
to take a more complicated case, that the object is a stick, seen first
in its whole length, and then rotated round one of its ends; let this
fixed end be the one near the eye. In this movement the stick's image
will grow progressively shorter; its farther end will appear less and
less separated laterally from its fixed near end; soon it will be
screened by the latter, and then reappear on the opposite side, the
image there finally resuming its original length. Suppose this movement
to become a familiar experience; the mind will presumably react upon it
after its usual fashion (which is that of unifying all data which it is
in any way possible to unify), and consider it the movement of a
constant object rather than the transformation of a fluctuating one.
Now, the _sensation of depth_ which it receives during the experience is
awakened more by the far than by the near end of the object. But how
much depth? What shall measure its amount? Why, at the moment the far
end is about to be eclipsed, the difference of its distance from the
near end's distance must be judged equal to the stick's whole length;
but that length has already been seen and measured by a certain visual
sensation of breadth. _So we find that given amounts of the visual
depth-feeling become signs of given amounts of the visual
breadth-feeling, depth becoming equated with breadth. The measurement of
distance is, as Berkeley truly said, a result of suggestion and
experience. But visual experience alone is adequate to produce it, and
this he erroneously denied._
Public-domain text, read in full here on John Shaqi.
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