Observe that these methods, though called Inductive, are not concerned
with arriving at general propositions. The principle we go upon is
simply this, that if it can be ascertained as matter of fact that a
certain thing is related to another as cause and effect, we may count
upon the same relation as holding in unobserved Nature, on the general
ground that like causes produce like effects in like circumstances.
Observe, also, that I deliberately speak of the causal relation as
a relation among phenomena. Whether this use of the words cause and
effect is philosophically justifiable, is a question that will be
raised and partly discussed later on. Here I simply follow the common
usage, in accordance with which objects of perception, _e.g._, the
administration of a drug and the recovery of a patient, are spoken of
as cause and effect. Such observable sequences are causal sequences in
the ordinary sense, and it is part of the work of Science to observe
them. I do not deny that the _true_ cause, of the cause that
science aims ultimately at discovering, is to be found in the latent
constitution or composition of the things concerned. Only that, as we
shall see more precisely, is a cause of another description. Meantime,
let us take the word to cover what it undoubtedly covers in ordinary
speech, the perceptible antecedent of a perceptible consequent.
Strictly speaking, as we shall find, Science has only one method of
directly observing when events are in causal sequence. But there are
various indirect methods, which shall be described in some sort of
order.
For the practical purposes of life, a single ascertained causal
sequence is of little value as a basis of inference, because we can
infer only to its repetition in identical circumstances. Suppose our
village matron had been able to ascertain as a matter of fact--a feat
as we shall find not to be achieved by direct observation--that the
drug did cure her child, this knowledge by itself would have been
practically valueless, because the only legitimate inference would
have been that an exactly similar dose would have the same effect
in exactly similar circumstances. But, as we shall find, though
practically valueless, a single ascertained causal sequence is of
supreme value in testing scientific speculations as to the underlying
causes.
(2) We have next to see whether there are any other rational
expectations based on observed facts. We may lay down as a principle
the following:--
_If a conjunction or coincidence has constantly been repeated within
our experience, we expect it to recur and believe that it has recurred
outside our experience._
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