Analysis of Mr. Mill's System of LogicStebbing, W. (William)
Philosophy
Analysis of Mr. Mill's System of Logic
Stebbing, W. (William)
Logic, Modern -- 19th century; Mill, John Stuart, 1806-1873
Hobbes (though he certainly often shows his belief that all propositions
are not merely about the meaning of words, and that general names are
given to things on account of their attributes) declares that what we
assert, is our belief that the subject and predicate are names of the
same thing. This is, indeed, a property of all true propositions, and
the only one true of all. But it is not the scientific definition of
propositions; for though the mere collocation which makes a proposition
a proposition, signifies only this, yet that _form_, combined with other
_matter_, conveys much more meaning. Hobbes's principle accounts _fully_
only for propositions where both terms are proper names. He applied it
to others, through attending, like all nominalists, to the denotation,
and not the connotation of words, holding them to be, like proper names,
mere marks put upon individuals. But when saying that, e.g. Socrates is
wise, is a true proposition, because of the conformity of import between
the terms, he should have asked himself why _Socrates_ and _wise_ are
names of the same person. He ought to have seen that they are given to
the same person, not because of the intention of the maker of each word,
but from the resemblance of their connotation, since a word means
properly certain attributes, and, only secondarily, objects denoted by
it. What we really assert, therefore, in a proposition, is, that where
we find certain attributes, we shall find a certain other one, which is
a question not of the meaning of names, but of the laws of nature.
Another theory virtually identical with Hobbes's, is that commonly
received, which makes predication consist in referring things to a
_class_; that is (since a class is only an indefinite number of
individuals denoted by a general name), in viewing them as some of those
to be called by that general name. This view is the basis of the _dictum
de omni et nullo_, on which is supposed to rest the validity of all
reasoning. Such a theory is an example of [Greek: hysteron proteron]: it
explains the cause by the effect, since the predicate cannot be known
for a class name which includes the subject, till several propositions
having it for predicate have been first assented to. This doctrine seems
to suppose all individuals to have been made into parcels, with the
common name outside; so that, to know if a general name can be
predicated correctly of the subject, we need only search the roll so
entitled. But the truth is, that general names are marks put, not upon
definite objects, but upon collections of objects ever fluctuating. We
may frame a class without knowing a single individual belonging to it:
the individual is placed in the class because the proposition is true;
the proposition is not made true by the individual being placed there.
Public-domain text, read in full here on John Shaqi.
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