Analysis of Mr. Mill's System of Logic — John Stuart Mill — John Shaqi
Analysis of Mr. Mill's System of Logic
John Stuart Mill · en
Inferences are equally _inductive_, whether, as in science, which needs
its conclusions for record, not for instant use, they pass through the
intermediate stage of a general proposition (to which class Dr. Whewell,
without sanction from facts, or from the usage of Reid and Stewart, the
founders of modern English metaphysical terminology, limits the term
induction), or are drawn direct from particulars to a supposed parallel
case. Neither does it make any difference in the _character_ of the
induction, whether the process be experiment or ratiocination, and
whether the object be to infer a general proposition or an individual
fact. That, in the latter case, the difficulty of the practical
enquiries, e.g. of a judge or an advocate, lies chiefly in selecting
from among all approved general propositions those inductions which suit
his case (just as, even in deductive sciences, the ascertaining of the
inductions is easy, their combination to solve a problem hard) is not to
the point: the legitimacy of the inductions so selected must at all
events be tried by the same test as a new general truth in science.
Induction, then, may be treated here as though it were the operation of
discovering and proving general propositions; but this is so only
because the evidence which justifies an inference respecting one unknown
case, would justify a like inference about a whole class, and is really
only another form of the same process: because, in short, the logic of
science is the universal logic applicable to all human enquiries.
CHAPTER II.
INDUCTIONS IMPROPERLY SO CALLED.
Induction is the process by which what is true at certain times, or of
certain individuals, is inferred to be true in like circumstances at all
times, or of a whole class. There must be an inference from the known to
the unknown, and not merely from a less to a more general expression.
Consequently, there is no valid induction, 1, in those cases laid down
in the common works on Logic as the only perfect instances of induction,
viz. where what we affirm of the class has already been ascertained to
be true of each individual in it, and in which the seemingly general
proposition in the conclusion is simply a number of singular
propositions written in an abridged form; or, 2, when, as often in
mathematics, the conclusion, though really general, is a mere summing up
of the different propositions from which it is drawn (whether actually
ascertained, or, as in the case of the uncalculated terms of an
arithmetical series, when once its law is known, readily to be
understood); or, 3, when the several parts of a complex phenomenon,
which are only capable of being observed separately, have been pieced
together by one conception, and made, as it were, one fact represented
in a single proposition.