It will appear, I think, from the views given in this and
several other parts of the present work, that we cannot with
justice say that we have very 'few data respecting the
nature of things,' in speculating concerning the laws of the
universe; since all the consequences which flow from the
relations of our fundamental ideas, necessarily regulate our
knowledge of things, so far as we have any such knowledge.
Nor can we say that the nature of matter is unknown to us,
in any sense in which we can conceive knowledge as possible.
The nature of matter is no more unknown than the nature of
space or of number. In our conception of matter, as of space
and of number, are involved certain relations, which are the
necessary groundwork of our knowledge; and anything which is
independent of these relations, is not unknown, but
inconceivable. {255}
It must be already clear to the reader, from the phraseology
employed by these two eminent mathematicians, that the
question respecting the formation of the third law of motion
can only be solved by a careful consideration of what we
mean by observation and experience, nature and matter. But
it will probably be generally allowed, that, taking into
account the explanations already offered of the necessary
conditions of experience and of the conception of inertia,
this law of motion, that the inertia is as the quantity of
matter, is almost or altogether self-evident.
6. _Action and Reaction are Equal in Moving Bodies._--When
we have to consider bodies as acting upon one another, and
influencing each other's motions, the third law of motion is
still applied; but along with this, we also employ the
general principle that action and reaction are equal and
opposite. Action and reaction are here to be understood as
momentum produced and destroyed, according to the measure of
action established by the Third Law of Motion: and the cases
in which this principle is thus employed form so large a
portion of those in which the third law of motion is used,
that some writers (Newton at the head of them) have
stated the equality of action and reaction as the third law
of motion.
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