A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. I
John Stuart Mill · en
§ 4. Although the first kind of imperfect definition, (which defines a
connotative term by a part only of what it connotes, but a part
sufficient to mark out correctly the boundaries of its denotation,) has
been considered by the ancients, and by logicians in general, as a
complete definition; it has always been deemed necessary that the
attributes employed should really form part of the connotation; for the
rule was that the definition must be drawn from the _essence_ of the
class; and this would not have been the case if it had been in any
degree made up of attributes not connoted by the name. The second kind
of imperfect definition, therefore, in which the name of a class is
defined by any of its accidents,--that is, by attributes which are not
included in its connotation,--has been rejected from the rank of genuine
Definition by all logicians, and has been termed Description.
This kind of imperfect definition, however, takes its rise from the same
cause as the other, namely, the willingness to accept as a definition
anything which, whether it expounds the meaning of the name or not,
enables us to discriminate the things denoted by the name from all other
things, and consequently to employ the term in predication without
deviating from established usage. This purpose is duly answered by
stating any (no matter what) of the attributes which are common to the
whole of the class, and peculiar to it; or any combination of attributes
which happens to be peculiar to it, though separately each of those
attributes may be common to it with some other things. It is only
necessary that the definition (or description) thus formed, should be
_convertible_ with the name which it professes to define; that is,
should be exactly co-extensive with it, being predicable of everything
of which it is predicable, and of nothing of which it is not predicable;
though the attributes specified may have no connexion with those which
mankind had in view when they formed or recognised the class, and gave
it a name. The following are correct definitions of Man, according to
this test: Man is a mammiferous animal, having (by nature) two hands
(for the human species answers to this description, and no other animal
does): Man is an animal who cooks his food: Man is a featherless biped.