A System of Logic, Ratiocinative and Inductive (Vol. 1 of 2) — John Stuart Mill — John Shaqi
A System of Logic, Ratiocinative and Inductive (Vol. 1 of 2)
John Stuart Mill · en
This throwing of the whole body of possible inferences from a given set of
particulars, into one general expression, operates as a security for their
being just inferences, in more ways than one. First, the general principle
presents a larger object to the imagination than any of the singular
propositions which it contains. A process of thought which leads to a
comprehensive generality, is felt as of greater importance than one which
terminates in an insulated fact; and the mind is, even unconsciously, led
to bestow greater attention upon the process, and to weigh more carefully
the sufficiency of the experience appealed to, for supporting the
inference grounded upon it. There is another, and a more important,
advantage. In reasoning from a course of individual observations to some
new and unobserved case, which we are but imperfectly acquainted with (or
we should not be inquiring into it), and in which, since we are inquiring
into it, we probably feel a peculiar interest; there is very little to
prevent us from giving way to negligence, or to any bias which may affect
our wishes or our imagination, and, under that influence, accepting
insufficient evidence as sufficient. But if, instead of concluding
straight to the particular case, we place before ourselves an entire class
of facts—the whole contents of a general proposition, every tittle of
which is legitimately inferrible from our premisses, if that one
particular conclusion is so; there is then a considerable likelihood that
if the premisses are insufficient, and the general inference, therefore,
groundless, it will comprise within it some fact or facts the reverse of
which we already know to be true; and we shall thus discover the error in
our generalization by what the schoolmen termed a _reductio ad
impossibile_.
Thus if, during the reign of Marcus Aurelius, a subject of the Roman
empire, under the bias naturally given to the imagination and expectations
by the lives and characters of the Antonines, had been disposed to
conclude that Commodus would be a just ruler; supposing him to stop there,
he might only have been undeceived by sad experience. But if he reflected
that this conclusion could not be justifiable unless from the same
evidence he was also warranted in concluding some general proposition, as,
for instance, that all Roman emperors are just rulers; he would
immediately have thought of Nero, Domitian, and other instances, which,
showing the falsity of the general conclusion, and therefore the
insufficiency of the premisses, would have warned him that those premisses
could not prove in the instance of Commodus, what they were inadequate to
prove in any collection of cases in which his was included.