A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. I
John Stuart Mill · en
As there may with propriety be said to be a relation between any two
things to which two correlative names are or may be given, we may expect
to discover what constitutes a relation in general, if we enumerate the
principal cases in which mankind have imposed correlative names, and
observe what these cases have in common.
What, then, is the character which is possessed in common by states of
circumstances so heterogeneous and discordant as these: one thing _like_
another; one thing _unlike_ another; one thing _near_ another; one thing
_far from_ another; one thing _before_, _after_, _along with_ another;
one thing _greater_, _equal_, _less_, than another; one thing the
_cause_ of another, the _effect_ of another; one person the _master_,
_servant_, _child_, _parent_, _debtor_, _creditor_, _sovereign_,
_subject_, _attorney_, _client_, of another, and so on?
Omitting, for the present, the case of Resemblance, (a relation which
requires to be considered separately,) there seems to be one thing
common to all these cases, and only one; that in each of them there
exists or occurs, or has existed or occurred, or may be expected to
exist or occur, some fact or phenomenon, into which the two things which
are said to be related to each other, both enter as parties concerned.
This fact, or phenomenon, is what the Aristotelian logicians called the
_fundamentum relationis_. Thus in the relation of greater and less
between two magnitudes, the _fundamentum relationis_ is the fact that
one of the two magnitudes could, under certain conditions, be included
in, without entirely filling, the space occupied by the other magnitude.
In the relation of master and servant, the _fundamentum relationis_ is
the fact that the one has undertaken, or is compelled, to perform
certain services for the benefit and at the bidding of the other.
Examples might be indefinitely multiplied; but it is already obvious
that whenever two things are said to be related, there is some fact, or
series of facts, into which they both enter; and that whenever any two
things are involved in some one fact, or series of facts, we may ascribe
to those two things a mutual relation grounded on the fact. Even if they
have nothing in common but what is common to all things, that they are
members of the universe, we call that a relation, and denominate them
fellow-creatures, fellow-beings, or fellow-denizens of the universe. But
in proportion as the fact into which the two objects enter as parts is
of a more special and peculiar, or of a more complicated nature, so also
is the relation grounded upon it. And there are as many conceivable
relations as there are conceivable kinds of fact in which two things can
be jointly concerned.