A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. II
John Stuart Mill · en
[20] "If this be not so, why do we feel so much more probability added
by the first instance, than by any single subsequent instance? Why,
except that the first instance gives us its possibility (a cause
_adequate_ to it), while every other only gives us the frequency of its
conditions? If no reference to a cause be supposed, possibility would
have no meaning; yet it is clear, that, antecedent to its happening, we
might have supposed the event impossible, _i.e._, have believed that
there was no physical energy really existing in the world equal to
producing it.... After the first time of happening, which is, then, more
important to the whole probability than any other single instance
(because proving the possibility), the _number_ of times becomes
important as an index to the intensity or extent of the cause, and its
independence of any particular time. If we took the case of a tremendous
leap, for instance, and wished to form an estimate of the probability of
its succeeding a certain number of times; the first instance, by showing
its possibility (before doubtful) is of the most importance; but every
succeeding leap shows the power to be more perfectly under control,
greater and more invariable, and so increases the probability; and no
one would think of reasoning in this case straight from one instance to
the next, without referring to the physical energy which each leap
indicated. Is it not then clear that we do not ever" (let us rather say,
that we do not in an advanced state of our knowledge) "conclude directly
from the happening of an event to the probability of its happening
again; but that we refer to the cause, regarding the past cases as an
index to the cause, and the cause as our guide to the future?"--_Ibid._