A System of Logic, Ratiocinative and InductiveMill, John Stuart
PhilosophyPhilosophy
A System of Logic, Ratiocinative and Inductive
Mill, John Stuart
Knowledge, Theory of; Logic; Science -- Methodology
§ 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 any
thing 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 every thing of which it is predicable, and of nothing
of which it is not predicable; though the attributes specified may have no
connection with those which mankind had in view when they formed or
recognized 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.
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