Not only could this notion not be derived from a single sensation or
even _from a series of sensations_, but what is more, an _immobile_
being could never have acquired it, since, not being able to _correct_
by his movements the effects of the changes of position of exterior
objects, he would have had no reason whatever to distinguish them from
changes of state. Just as little could he have acquired it if his
motions had not been voluntary or were unaccompanied by any sensations.
CONDITIONS OF COMPENSATION.--How is a like compensation possible, of
such sort that two changes, otherwise independent of each other,
reciprocally correct each other?
A mind already familiar with geometry would reason as follows:
Evidently, if there is to be compensation, the various parts of the
external object, on the one hand, and the various sense organs, on the
other hand, must be in the same _relative_ position after the double
change. And, for that to be the case, the various parts of the external
object must likewise have retained in reference to each other the same
relative position, and the same must be true of the various parts of our
body in regard to each other.
In other words, the external object, in the first change, must be
displaced as is a rigid solid, and so must it be with the whole of our
body in the second change which corrects the first.
Under these conditions, compensation may take place.
But we who as yet know nothing of geometry, since for us the notion of
space is not yet formed, we can not reason thus, we can not foresee _a
priori_ whether compensation is possible. But experience teaches us that
it sometimes happens, and it is from this experimental fact that we
start to distinguish changes of state from changes of position.
SOLID BODIES AND GEOMETRY.--Among surrounding objects there are some
which frequently undergo displacements susceptible of being thus
corrected by a correlative movement of our own body; these are the
_solid bodies_. The other objects, whose form is variable, only
exceptionally undergo like displacements (change of position without
change of form). When a body changes its place _and its shape_, we can
no longer, by appropriate movements, bring back our sense-organs into
the same _relative_ situation with regard to this body; consequently we
can no longer reestablish the primitive totality of impressions.
It is only later, and as a consequence of new experiences, that we learn
how to decompose the bodies of variable form into smaller elements, such
that each is displaced almost in accordance with the same laws as solid
bodies. Thus we distinguish 'deformations' from other changes of state;
in these deformations, each element undergoes a mere change of position,
which can be corrected, but the modification undergone by the aggregate
is more profound and is no longer susceptible of correction by a
correlative movement.
Public-domain text, read in full here on John Shaqi.
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