A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. I
John Stuart Mill · en
Meanwhile, however, it is certain, as before remarked, that if this
inference can be drawn as to Socrates, it can be drawn as to all others
who resemble the observed individuals in the same attributes in which he
resembles them; that is (to express the thing concisely) of all mankind.
If, therefore, the argument be admissible in the case of Socrates, we
are at liberty, once for all, to treat the possession of the attributes
of man as a mark, or satisfactory evidence, of the attribute of
mortality. This we do by laying down the universal proposition, All men
are mortal, and interpreting this, as occasion arises, in its
application to Socrates and others. By this means we establish a very
convenient division of the entire logical operation into two steps;
first, that of ascertaining what attributes are marks of mortality; and,
secondly, whether any given individuals possess those marks. And it will
generally be advisable, in our speculations on the reasoning process, to
consider this double operation as in fact taking place, and all
reasoning as carried on in the form into which it must necessarily be
thrown to enable us to apply to it any test of its correct performance.
Although, therefore, all processes of thought in which the ultimate
premises are particulars, whether we conclude from particulars to a
general formula, or from particulars to other particulars according to
that formula, are equally Induction: we shall yet, conformably to usage,
consider the name Induction as more peculiarly belonging to the process
of establishing the general proposition, and the remaining operation,
which is substantially that of interpreting the general proposition, we
shall call by its usual name, Deduction. And we shall consider every
process by which anything is inferred respecting an unobserved case, as
consisting of an Induction followed by a Deduction; because, although
the process needs not necessarily be carried on in this form, it is
always susceptible of the form, and must be thrown into it when
assurance of scientific accuracy is needed and desired.