On the Fourfold Root of the Principle of Sufficient Reason, and On the Will in Nature: Two Essays (revised edition)
Schopenhauer · en
[81] Newton, "Optics." Query 15.
The _third_ process by which the Understanding converts sensation into
perception, consists in constructing bodies out of the simple surfaces
hitherto obtained--that is, in adding the third dimension. This it
does by estimating the expansion of bodies in this third dimension
in Space--which is known to the Understanding _à priori_--through
Causality, according to the degree in which the eye is affected by the
objects, and to the gradations of light and shade. In fact, although
objects fill Space in all three dimensions, they can only produce
an impression upon the eye with two; for the nature of that organ
is such, that our sensation, in seeing, is merely planimetrical,
not stereometrical. All that is stereometrical in our perception is
added by the Understanding, which has for its sole data the direction
whence the eye receives its impression, the limits of that impression,
and the various gradations of light and dark: these data directly
indicate their causes, and enable us to distinguish whether what we
have before us is a disk or a ball. This mental process, like the
preceding ones, takes place so immediately and with such rapidity,
that we are conscious of nothing but the result. It is this which
makes perspective drawing so difficult a problem, that it can only
be solved by mathematics and has to be learnt; although all it has
to do, is to represent the sensation of seeing as it presents itself
to our Understanding as a datum for the third process: that is,
visual sensation in its merely planimetrical extension, to the _two_
dimensions of which extension, together with the said data in them, the
Understanding forthwith adds the _third_, in contemplating a drawing as
well as in contemplating reality. Perspective drawing is, in fact, a
sort of writing which can be read as easily as printed type, but which
few are able to write; precisely because our intellect, in perceiving,
only apprehends effects with a view to constructing their causes,
immediately losing sight of the former as soon as it has discovered
the latter. For instance, we instantly recognise a chair, whatever
position it may be in; while drawing a chair in any position belongs to
the art which abstracts from this third process of the Understanding,
in order to present the data alone for the spectator himself to
complete. In its narrowest acceptation, as we have already seen, this
is the art of drawing in perspective; in a more comprehensive sense,
it is the whole art of painting. A painting presents us with outlines
drawn according to the rules of perspective; lighter and darker places
proportioned to the effect of light and shade; finally patches of
colouring, which are determined as to quality and intensity by the
teaching of experience. This the spectator reads and interprets by
referring similar effects to their accustomed causes. The painter's art
consists in consciously retaining the data of visual sensation in the