On the Fourfold Root of the Principle of Sufficient Reason, and On the Will in Nature: Two Essays (revised edition)
Schopenhauer · en
that, not recognising what it was, he fainted with terror.
The properties of the telescope and magnifying glass, on the other
hand, depend upon a separate estimate according to the visual angle
alone: _i.e._, that of size by distance, and of distance by size;
because here the four other supplementary means of estimating distances
are excluded. The telescope in reality magnifies objects, while it
only seems to bring them nearer; because their size being known to us
empirically, we here account for its apparent increase by a diminution
of their distance from us. A house seen through a telescope, for
instance, seems to be ten times nearer, not ten times larger, than seen
with the naked eye. The magnifying glass, on the contrary, does not
really magnify, but merely enables us to bring the object nearer to
our eyes than would otherwise be possible; so that it only appears as
large as it would at that distance even without the magnifying glass.
In fact, we are prevented from seeing objects distinctly at less than
from eight to ten inches' distance from our eyes, by the insufficient
convexity of the ocular lens and cornea; but if we increase the
refraction by substituting the convexity of the magnifying glass for
that of the lens and cornea, we then obtain a clear image of objects
even when they are as near as half an inch from our eyes. Objects thus
seen in close proximity to us and in the size corresponding to that
proximity, are transferred by our Understanding to the distance at
which we naturally see distinctly, _i.e._ to about eight or ten inches
from our eyes, and we then estimate their magnitude according to this
distance and to the given visual angle.
I have entered thus fully into detail concerning all the different
processes by which seeing is accomplished, in order to show clearly
and irrefragably that the predominant factor in them is _the
Understanding_, which, by conceiving each change as an _effect_ and
referring that effect to its _cause_, produces the cerebral phenomenon
of the objective world on the basis of the _à priori_ fundamental
intuitions of Space and Time, for which it receives merely a few
data from the senses. And moreover the Understanding effects this
exclusively by means of its own peculiar form, the law of Causality;
therefore quite directly and intuitively, without any assistance
whatever from reflection--that is, from abstract knowledge by means of
conceptions and of language, which are the materials of _secondary_
knowledge, _i.e._ of _thought_, therefore of _Reason_.