The perception of solidity, like the perception of
extension, implies an act of the mind, as well as an
impression of the senses: as the perception of extension
implies the idea of space, so the perception of solidity
implies the idea of action and reaction. That an Idea is
involved in our knowledge on this subject, appears, as in
other instances, from this consideration, that the
convictions of persons, even of those who allow of no ground
of knowledge but experience, do in fact go far beyond the
possible limits of experience. Thus Locke says[11\3], that
'the bodies which we daily handle hinder by an
_insurmountable_ force the approach of the parts of our
hands that press them.' Now it is manifest that our
observation can never go to this length. By our senses we
can only perceive that bodies resist the greatest actual
forces that we exert upon them. But our conception of force
carries us further: and since, so long as the body is there
to receive the action of the force, it must suffer the whole
of that action, and must react as much as it suffers: it is
therefore true, that so long as the body remains there, the
force which is exerted upon it can never surmount the
resistance which the body exercises. And thus this doctrine,
that bodies resist the intrusion of other bodies by an
insurmountable force, is, in fact, a consequence of the
axiom that the reaction is always equal to the action.
[Note 11\3: _Essay_, b. ii. c. 4.]
4. _Inertia._--But this principle of the equality of action
and reaction appears also in another way. Not only when we
exert force upon bodies at rest, but when, by our exertions,
we put them in motion, they react. If we set a large stone
in motion, the stone {210} resists; for the operation
requires an effort. By increasing the effort, we can
increase the effect, that is, the motion produced; but the
resistance still remains. And the greater the stone moved,
the greater is the effort requisite to move it. There is, in
every case, a resistance to motion, which shows itself, not
in preventing the motion, but in a reciprocal force, exerted
backwards upon the agent by which the motion is produced.
And this resistance resides in each portion of matter, for
it is increased as we add one portion of matter to another.
We can push a light boat rapidly through the water; but we
may go on increasing its freight, till we are barely able to
stir it. This property of matter, then, by which it resists
the reception of motion, or rather by which it reacts and
requires an adequate force in order that any motion may
result, is called its inertness, or _inertia_. That matter
has such a property, is a conviction flowing from that idea
of a reaction equal and opposite to the action, which the
conception of all force involves. By what laws this inertia
depends on the magnitude, form, and material of the body,
must be the subject of our consideration hereafter. But that
matter has this inertia, in virtue of which, as the matter
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