A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. II
John Stuart Mill · en
§ 2. Propositions in the form, Most A are B, are of a very different
degree of importance in science, and in the practice of life. To the
scientific inquirer they are valuable chiefly as materials for, and
steps towards, universal truths. The discovery of these is the proper
end of science: its work is not done if it stops at the proposition that
a majority of A are B, without circumscribing that majority by some
common character, fitted to distinguish them from the minority.
Independently of the inferior precision of such imperfect
generalizations, and the inferior assurance with which they can be
applied to individual cases, it is plain that, compared with exact
generalizations, they are almost useless as means of discovering
ulterior truths by way of deduction. We may, it is true, by combining
the proposition Most A are B, with an universal proposition, Every B is
C, arrive at the conclusion that Most A are C. But when a second
proposition of the approximate kind is introduced,--or even when there
is but one, if that one be the major premise,--nothing can in general be
positively concluded. When the major is Most B are D, then, even if the
minor be Every A is B, we cannot infer that most A are D, or with any
certainty that even some A are D. Though the majority of the class B
have the attribute signified by D, the whole of the sub-class A may
belong to the minority.[34]
Though so little use can be made, in science, of approximate
generalizations, except as a stage on the road to something better, for
practical guidance they are often all we have to rely on. Even when
science has really determined the universal laws of any phenomenon, not
only are those laws generally too much encumbered with conditions to be
adapted for every-day use, but the cases which present themselves in
life are too complicated, and our decisions require to be taken too
rapidly, to admit of waiting till the existence of a phenomenon can be
proved by what have been scientifically ascertained to be universal
marks of it. To be indecisive and reluctant to act, because we have not
evidence of a perfectly conclusive character to act on, is a defect
sometimes incident to scientific minds, but which, wherever it exists,
renders them unfit for practical emergencies. If we would succeed in
action, we must judge by indications which, though they do not
generally mislead us, sometimes do; and must make up, as far as
possible, for the incomplete conclusiveness of any one indication, by
obtaining others to corroborate it. The principles of induction
applicable to approximate generalization are therefore a not less
important subject of inquiry, than the rules for the investigation of
universal truths; and might reasonably be expected to detain us almost
as long, were it not that these principles are mere corollaries from
those which have been already treated of.