A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. I — John Stuart Mill — John Shaqi
A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. I
John Stuart Mill · en
An example of the first kind of imperfect definitions is the
following:--Man is a rational animal. It is impossible to consider this
as a complete definition of the word Man, since (as before remarked) if
we adhered to it we should be obliged to call the Houyhnhnms men; but as
there happen to be no Houyhnhnms, this imperfect definition is
sufficient to mark out and distinguish from all other things, the
objects at present denoted by "man;" all the beings actually known to
exist, of whom the name is predicable. Though the word is defined by
some only among the attributes which it connotes, not by all, it happens
that all known objects which possess the enumerated attributes, possess
also those which are omitted; so that the field of predication which the
word covers, and the employment of it which is conformable to usage, are
as well indicated by the inadequate definition as by an adequate one.
Such definitions, however, are always liable to be overthrown by the
discovery of new objects in nature.
Definitions of this kind are what logicians have had in view, when they
laid down the rule, that the definition of a species should be _per
genus et differentiam_. Differentia being seldom taken to mean the whole
of the peculiarities constitutive of the species, but some one of those
peculiarities only, a complete definition would be _per genus et
differentias_, rather than _differentiam_. It would include, with the
name of the superior genus, not merely _some_ attribute which
distinguishes the species intended to be defined from all other species
of the same genus, but _all_ the attributes implied in the name of the
species, which the name of the superior genus has not already implied.
The assertion, however, that a definition must of necessity consist of a
genus and differentiæ, is not tenable. It was early remarked by
logicians, that the _summum genus_ in any classification, having no
genus superior to itself, could not be defined in this manner. Yet we
have seen that all names, except those of our elementary feelings, are
susceptible of definition in the strictest sense; by setting forth in
words the constituent parts of the fact or phenomenon, of which the
connotation of every word is ultimately composed.