The really valuable part of the Fourth Rule is that which implies
that a constant verification, and, if necessary, rectification,
of truths discovered by induction, should go on in the scientific
world. Even when the law is, or appears to be, most certainly exact
and universal, it should be constantly exhibited to us afresh in the
form of experience and observation. This is necessary, in order to
discover exceptions and modifications if such exist: and if the law be
rigorously true, the contemplation of it, as exemplified in the world
of phenomena, will best give us that clear apprehension of its bearings
which may lead us to see the ground of its truth.
The concluding clause of this Fourth Rule appears, at first, to
imply that all inductive propositions are to be considered as merely
provisional and limited, and never secure from exception. But to judge
thus would be to underrate the stability and generality of scientific
truths; for what man of science can suppose that we shall hereafter
discover exceptions to the universal gravitation of all parts of the
solar system? And it is plain that the author did not intend the
restriction to be applied so rigorously; for in the Third Rule, as
we have just seen, he authorizes us to infer universal properties of
matter from observation, and carries the liberty of inductive inference
to its full extent. The Third Rule appears to encourage us to assert a
law to be universal, even in cases in which it has not been tried; the
Fourth Rule seems to warn us that the law may be inaccurate, even in
cases in which it has been tried. Nor is either of these suggestions
erroneous; but both the universality and the rigorous accuracy of our
laws are proved by reference to Ideas rather than to Experience; a
truth, which, perhaps, the philosophers of Newton's time were somewhat
disposed to overlook.
Public-domain text, read in full here on John Shaqi.
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