A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. I
John Stuart Mill · en
When a general name stands for each and every individual which it is a
name of, or in other words, which it denotes, it is said by logicians to
be _distributed_, or taken distributively. Thus, in the proposition, All
men are mortal, the subject, Man, is distributed, because mortality is
affirmed of each and every man. The predicate, Mortal, is not
distributed, because the only mortals who are spoken of in the
proposition are those who happen to be men; while the word may, for
aught that appears, and in fact does, comprehend within it an indefinite
number of objects besides men. In the proposition, Some men are mortal,
both the predicate and the subject are undistributed. In the following,
No men have wings, both the predicate and the subject are distributed.
Not only is the attribute of having wings denied of the entire class
Man, but that class is severed and cast out from the whole of the class
Winged, and not merely from some part of that class.
This phraseology, which is of great service in stating and
demonstrating the rules of the syllogism, enables us to express very
concisely the definitions of an universal and a particular proposition.
An universal proposition is that of which the subject is distributed; a
particular proposition is that of which the subject is undistributed.
There are many more distinctions among propositions than those we have
here stated, some of them of considerable importance. But, for
explaining and illustrating these, more suitable opportunities will
occur in the sequel.
CHAPTER V.
OF THE IMPORT OF PROPOSITIONS.
§ 1. An inquiry into the nature of propositions must have one of two
objects: to analyse the state of mind called Belief, or to analyse what
is believed. All language recognises a difference between a doctrine or
opinion, and the fact of entertaining the opinion; between assent, and
what is assented to.
Logic, according to the conception here formed of it, has no concern
with the nature of the act of judging or believing; the consideration of
that act, as a phenomenon of the mind, belongs to another science.
Philosophers, however, from Descartes downwards, and especially from the
era of Leibnitz and Locke, have by no means observed this distinction;
and would have treated with great disrespect any attempt to analyse the
import of Propositions, unless founded on an analysis of the act of
Judgment. A proposition, they would have said, is but the expression in
words of a Judgment. The thing expressed, not the mere verbal
expression, is the important matter. When the mind assents to a
proposition, it judges. Let us find out what the mind does when it
judges, and we shall know what propositions mean, and not otherwise.