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
"The revocation of the two terms of a Proposition to their true
relation; a proposition being always an _equation_ of its subject and
its predicate.
"The consequent reduction of the Conversion of Propositions from three
species to one--that of Simple Conversion.
"The reduction of all the _General Laws_ of Categorical Syllogisms to a
single Canon.
"The evolution from that one canon of all the Species and varieties of
Syllogisms.
"The abrogation of all the _Special Laws_ of Syllogism.
"A demonstration of the exclusive possibility of Three syllogistic
Figures; and (on new grounds) the scientific and final abolition of the
Fourth.
"A manifestation that Figure is an unessential variation in syllogistic
form; and the consequent absurdity of Reducing the syllogisms of the
other figures to the first.
"An enouncement of _one Organic Principle_ for each Figure.
"A determination of the true number of the Legitimate Moods; with
"Their amplification in number (thirty-six);
"Their numerical equality under all the figures; and
"Their relative equivalence, or virtual identity, throughout every
schematic difference.
"That, in the second and third figures, the extremes holding both the
same relation to the middle term, there is not, as in the first, an
opposition and subordination between a term major and a term minor,
mutually containing and contained, in the counter wholes of Extension
and Comprehension.
"Consequently, in the second and third figures, there is no determinate
major and minor premise, and there are two indifferent conclusions:
whereas in the first the premises are determinate, and there is a single
proximate conclusion."