In a word, the system of coordinate axes to which we naturally refer all
exterior objects is a system of axes invariably bound to our body, and
carried around with us.
It is impossible to represent to oneself absolute space; when I try to
represent to myself simultaneously objects and myself in motion in
absolute space, in reality I represent to myself my own self motionless
and seeing move around me different objects and a man that is exterior
to me, but that I convene to call me.
Will the difficulty be solved if we agree to refer everything to these
axes bound to our body? Shall we know then what is a point thus defined
by its relative position with regard to ourselves? Many persons will
answer yes and will say that they 'localize' exterior objects.
What does this mean? To localize an object simply means to represent to
oneself the movements that would be necessary to reach it. I will
explain myself. It is not a question of representing the movements
themselves in space, but solely of representing to oneself the muscular
sensations which accompany these movements and which do not presuppose
the preexistence of the notion of space.
If we suppose two different objects which successively occupy the same
relative position with regard to ourselves, the impressions that these
two objects make upon us will be very different; if we localize them at
the same point, this is simply because it is necessary to make the same
movements to reach them; apart from that, one can not just see what they
could have in common.
But, given an object, we can conceive many different series of movements
which equally enable us to reach it. If then we represent to ourselves a
point by representing to ourselves the series of muscular sensations
which accompany the movements which enable us to reach this point, there
will be many ways entirely different of representing to oneself the same
point. If one is not satisfied with this solution, but wishes, for
instance, to bring in the visual sensations along with the muscular
sensations, there will be one or two more ways of representing to
oneself this same point and the difficulty will only be increased. In
any case the following question comes up: Why do we think that all these
representations so different from one another still represent the same
point?
Another remark: I have just said that it is to our own body that we
naturally refer exterior objects; that we carry about everywhere with us
a system of axes to which we refer all the points of space and that this
system of axes seems to be invariably bound to our body. It should be
noticed that rigorously we could not speak of axes invariably bound to
the body unless the different parts of this body were themselves
invariably bound to one another. As this is not the case, we ought,
before referring exterior objects to these fictitious axes, to suppose
our body brought back to the initial attitude.
5. _The Notion of Displacement_
Public-domain text, read in full here on John Shaqi.
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