Elements of metaphysicsTaylor, A. E. (Alfred Edward)
Philosophy
Elements of metaphysics
Taylor, A. E. (Alfred Edward)
Metaphysics
Now, this is precisely the place which the principle fills in the actual
procedure of the sciences. We have absolutely no means of showing that
the concrete course of Nature is strictly uniform, as has already been
seen. But also, we have no need, for our scientific ends, that it should
be uniform. All that we require is that natural processes, when dealt
with in the bulk, should exhibit no divergence from uniform routine
except such as we may neglect for the purposes of practical calculation
and control of the course of events. The actual success of the empirical
sciences shows that this demand for approximate uniformity is actually
fulfilled with sufficient closeness for all our practical purposes. That
it would be so fulfilled we could have had no theoretical means of
divining before putting it to the actual test. In this sense the
principle, like that of Causality may be said to be a postulate made _a
priori_ and in advance of experience. But, once more like the principle
of Causality, it could not be presumed to be trustworthy unless the
subsequent results of its employment vindicated it; it cannot,
therefore, be _a priori_ in the Kantian sense of being known to be true
independent of empirical verification.[136]
This result is confirmed by consideration of the way in which the
principle of uniform law is actually applied to concrete cases.
Scientific laws, as we all know, are purely general and abstract. They
state not what _will_ happen, but what _would_ happen providing that
certain specified conditions and no others were operative in determining
the result. In this abstract form they are, of course, statements of
exact and absolute uniformities. But in this abstract form they cannot
be directly applied to the calculation of the actual course of any
process. To take, for instance, an example which has been used by
Professor Ward.[137] We learn in Mechanics that equilibrium is
maintained on the lever when the moments of the weights about the
fulcrum are equal and opposite. As an abstract generalisation this is a
statement of a rigid uniformity. But in order that it may be universally
true, we must suppose the conditions implied in the formulation of the
proposition to be fulfilled. The lever itself must be absolutely rigid,
and must be weightless; it must be of absolutely uniform structure, the
fulcrum must be a mathematical point, in order that friction may be
excluded, and so forth. Similarly, the weights must be thought of as
mere masses without any further difference of quality, and thus only
capable of affecting the lever through the one property of their weight;
their attachments, again, must be of ideal tenuity, or fresh
complications will be introduced. But when all these conditions have
been taken into account, the principle has become so abstract as to
amount to the tautology that what only operates by its mass and its
distance from the fulcrum will not operate by any other property.
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