Although motor impressions have had, as I have just explained, an
altogether preponderant influence in the genesis of the notion of space,
which never would have taken birth without them, it will not be without
interest to examine also the rôle of visual impressions and to
investigate how many dimensions 'visual space' has, and for that purpose
to apply to these impressions the definition of § 3.
A first difficulty presents itself: consider a red color sensation
affecting a certain point of the retina; and on the other hand a blue
color sensation affecting the same point of the retina. It is necessary
that we have some means of recognizing that these two sensations,
qualitatively different, have something in common. Now, according to the
considerations expounded in the preceding paragraph, we have been able
to recognize this only by the movements of the eye and the observations
to which they have given rise. If the eye were immovable, or if we were
unconscious of its movements, we should not have been able to recognize
that these two sensations, of different quality, had something in
common; we should not have been able to disengage from them what gives
them a geometric character. The visual sensations, without the muscular
sensations, would have nothing geometric, so that it may be said there
is no pure visual space.
To do away with this difficulty, consider only sensations of the same
nature, red sensations, for instance, differing one from another only as
regards the point of the retina that they affect. It is clear that I
have no reason for making such an arbitrary choice among all the
possible visual sensations, for the purpose of uniting in the same class
all the sensations of the same color, whatever may be the point of the
retina affected. I should never have dreamt of it, had I not before
learned, by the means we have just seen, to distinguish changes of state
from changes of position, that is, if my eye were immovable. Two
sensations of the same color affecting two different parts of the retina
would have appeared to me as qualitatively distinct, just as two
sensations of different color.
In restricting myself to red sensations, I therefore impose upon myself
an artificial limitation and I neglect systematically one whole side of
the question; but it is only by this artifice that I am able to analyze
visual space without mingling any motor sensation.
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