A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. II
John Stuart Mill · en
With respect to _general_ propositions of this class, that is, which
affirm the bare fact of existence, they have a peculiarity which renders
the logical treatment of them a very easy matter; they are
generalizations which are sufficiently proved by a single instance. That
ghosts, or unicorns, or sea-serpents exist, would be fully established
if it could be ascertained positively that such things had been even
once seen. Whatever has once happened, is capable of happening again;
the only question relates to the conditions under which it happens.
So far, therefore, as relates to simple existence, the Inductive Logic
has no knots to untie. And we may proceed to the remaining two of the
great classes into which facts have been divided; Resemblance, and Order
in Space.
§ 2. Resemblance and its opposite, except in the case in which they
assume the names of Equality and Inequality, are seldom regarded as
subjects of science; they are supposed to be perceived by simple
apprehension; by merely applying our senses or directing our attention
to the two objects at once, or in immediate succession. And this
simultaneous, or virtually simultaneous, application of our faculties to
the two things which are to be compared, does necessarily constitute the
ultimate appeal, wherever such application is practicable. But, in most
cases, it is not practicable: the objects cannot be brought so close
together that the feeling of their resemblance (at least a complete
feeling of it) directly arises in the mind. We can only compare each of
them with some third object, capable of being transported from one to
the other. And besides, even when the objects can be brought into
immediate juxtaposition, their resemblance or difference is but
imperfectly known to us, unless we have compared them minutely, part by
part. Until this has been done, things in reality very dissimilar often
appear undistinguishably alike. Two lines of very unequal length will
appear about equal when lying in different directions; but place them
parallel, with their farther extremities even, and if we look at the
nearer extremities, their inequality becomes a matter of direct
perception.