The English works of Thomas Hobbes of Malmesbury, Volume 01 (of 11) — Thomas Hobbes — John Shaqi
The English works of Thomas Hobbes of Malmesbury, Volume 01 (of 11)
Thomas Hobbes · en
From whence follow three other figures; of which, two are _inflected_,
and the third _inverted_. The first of these three is made by the
conversion of the major proposition. For let the minor, middle, and
major terms stand in direct order, thus, _man is a living creature_, _is
not a stone_, which is the first or direct figure; the inflection will
be by converting the major proposition in this manner, _man is a living
creature_, _a stone is not a living creature_; and this is the second
figure, or the first of the indirect figures; in which the conclusion
will be, _man is not a stone_. For (having shown in the last chapter,
art. 14, that universal propositions, converted by contradiction of the
terms, are equipollent) both those syllogisms conclude alike; so that if
the major be read (like Hebrew) backwards, thus, _a living creature is
not a stone_, it will be direct again, as it was before. In like manner
this direct syllogism, _man is not a tree_, _is not a pear-tree_, will
be made indirect by converting the major proposition (by contradiction
of the terms) into another equipollent to it, thus, _man is not a tree_,
_a pear-tree is a tree_; for the same conclusion will follow, _man is
not a pear-tree_.
But for the conversion of the direct figure into the first indirect
figure, the major term in the direct figure ought to be negative. For
though this direct, _man is a living creature_, _is a body_, be made
indirect, by converting the major proposition, thus,
_Man is a living creature_,
_Not a body is not a living creature_,
Therefore, _Every man is a body_;
Yet this conversion appears so obscure, that this mood is of no use at
all. By the conversion of the major proposition, it is manifest, that in
this figure, the middle term is always the predicate in both the
premises.
[Sidenote: Second indirect figure how made.]
10. The second indirect figure is made by converting the minor
proposition, so as that the middle term is the subject in both. But this
never concludes universally, and therefore is of no use in philosophy.
Nevertheless I will set down an example of it; by which this direct
_Every man is a living creature_,
_Every living creature is a body_,
by conversion of the minor proposition, will stand thus,
_Some living creature is a man_,
_Every living creature is a body_,
Therefore, _Some man is a body_.
For _every man is a living creature_ cannot be converted into this,
_every living creature is a man_: and therefore if this syllogism be
restored to its direct form, the minor proposition will be _some man is
a living creature_, and consequently the conclusion will be _some man is
a body_, seeing the minor term _man_, which is the subject in the
conclusion, is a particular name.
[Sidenote: How the third indirect figure is made.]