A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. I
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 premises, if that one particular conclusion is so;
there is then a considerable likelihood that if the premises 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 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 expect 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 expectation could not be justifiable unless from
the same evidence he was 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 premises, would have warned him that
those premises could not prove in the instance of Commodus, what they
were inadequate to prove in any collection of cases in which his was
included.