Compare also the fuller elucidation of the subject given by Mr. John
Stuart Mill, in his System of Logic, Bk. III. ch. xvii. s. 2:--"An
event occurring by chance may be better described as a coincidence
from which we have no ground to infer an uniformity; the occurrence
of an event in certain circumstances, without our having reason on
that account to infer that it will happen again in those
circumstances. This, however, when looked closely into, implies that
the enumeration of the circumstances is not complete. Whatever the
fact was, since it has occurred once, we may be sure that if all the
circumstances were repeated, it would occur again; and not only if
all, but there is some particular portion of those circumstances, on
which the phenomenon is invariably consequent. With most of them,
however, it is not connected in any permanent manner: its conjunction
with those is said to be the effect of chance, to be merely casual.
Facts casually conjoined are separately the effect of causes, and
therefore of laws; but of different causes, and causes not connected
by any law. It is incorrect then to say that any phenomenon is
produced by chance; but we may say that two or more phenomena are
conjoined by chance, that they co-exist or succeed one another only
by chance."]
There is, indeed, one distinction between inferences as to the past
and inferences as to the future, which may have contributed to
suggest, though it will not justify, the position here laid down by
Aristotle. In regard to the disjunctive--To-morrow there will be a
sea-fight, or there will not be a sea-fight--nothing more trustworthy
than inference or anticipation is practicable: the anticipation of a
sagacious man with full knowledge is more likely to prove correct
than that of a stupid man with little knowledge; yet both are alike
anticipations, unverifiable at the present moment. But if we turn to
the other disjunctive--Yesterday there was a sea-fight, or there was
not a sea-fight--we are no longer in the same position. The two
disputants, supposed to declare thus, may have been far off, and may
have no other means of deciding the doubt than inference. But the
inference here is not unverifiable: there exist, or may exist,
witnesses or spectators of the two fleets, who can give direct
attestation of the reality, and can either confirm or refute the
inference, negative or affirmative, made by an absentee. Thus the
proposition, Yesterday there was a sea-fight, or the other, Yesterday
there was not a sea-fight, will be verifiable or determinably true.
There are indeed many inferences as to the past, in regard to which
no direct evidence is attainable. Still this is an accident; for such
direct evidence may always be supposed or imagined as capable of
being brought into court. But, in respect to the future, verification
is out of the question; we are confined to the region of inference,
well or ill-supported. Here, then, we have a material distinction
between the past and the future.
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