A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. I
John Stuart Mill · en
The advantage, in judging whether any controverted inference is
legitimate, of referring to a parallel case, is universally
acknowledged. But by ascending to the general proposition, we bring
under our view not one parallel case only, but all possible parallel
cases at once; all cases to which the same set of evidentiary
considerations are applicable.
When, therefore, we argue from a number of known cases to another case
supposed to be analogous, it is always possible, and generally
advantageous, to divert our argument into the circuitous channel of an
induction from those known cases to a general proposition, and a
subsequent application of that general proposition to the unknown case.
This second part of the operation, which, as before observed, is
essentially a process of interpretation, will be resolvable into a
syllogism or a series of syllogisms, the majors of which will be general
propositions embracing whole classes of cases; every one of which
propositions must be true in all its extent, if the argument is
maintainable. If, therefore, any fact fairly coming within the range of
one of these general propositions, and consequently asserted by it, is
known or suspected to be other than the proposition asserts it to be,
this mode of stating the argument causes us to know or to suspect that
the original observations, which are the real grounds of our conclusion,
are not sufficient to support it. And in proportion to the greater
chance of our detecting the inconclusiveness of our evidence, will be
the increased reliance we are entitled to place in it if no such
evidence of defect shall appear.
The value, therefore, of the syllogistic form, and of the rules for
using it correctly, does not consist in their being the form and the
rules according to which our reasonings are necessarily, or even
usually, made; but in their furnishing us with a mode in which those
reasonings may always be represented, and which is admirably calculated,
if they are inconclusive, to bring their inconclusiveness to light. An
induction from particulars to generals, followed by a syllogistic
process from those generals to other particulars, is a form in which we
may always state our reasonings if we please. It is not a form in which
we _must_ reason, but it is a form in which we _may_ reason, and into
which it is indispensable to throw our reasoning, when there is any
doubt of its validity: though when the case is familiar and little
complicated, and there is no suspicion of error, we may, and do, reason
at once from the known particular cases to unknown ones.[9]