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
4. If the middle term be not in both the premises determined to one and
the same singular thing, no conclusion will follow, nor syllogism be
made. For let the minor term be _man_, the middle term _living
creature_, and the major term _lion_; and let the premises be, _man is a
living creature_, _some living creature is a lion_, yet it will not
follow that _every_ or _any man is a lion_. By which it is manifest,
that in every syllogism, that proposition which has the middle term for
its _subject_, ought to be either _universal_ or _singular_, but not
_particular_ nor _indefinite_. For example, this syllogism, _every man
is a living creature_, _some living creature is four-footed_, therefore
_some man is four-footed_, is therefore faulty, because the middle term,
_living creature_, is in the first of the premises determined only to
_man_, for there the name of _living creature_ is given to man only, but
in the latter premise it may be understood of some other living creature
besides man. But if the latter premise had been _universal_, as here,
_every man is a living creature_, _every living creature is a body_,
therefore _every man is a body_, the syllogism had been true; for it
would have followed that _body_ had been the name of _every living
creature_, that is of _man_; that is to say, the conclusion _every man
is a body_ had been true. Likewise, when the middle term is a _singular_
name, a syllogism may be made, I say a true syllogism, though useless in
philosophy, as this, _some man is Socrates_, _Socrates is a
philosopher_, therefore, _some man is a philosopher_; for the premises
being granted, the conclusion cannot be denied.
[Sidenote: From two particular propositions nothing can be concluded.]
5. And therefore of two premises, in both which the middle term is
particular, a syllogism cannot be made; for whether the middle term be
the _subject_ in both the premises, or the _predicate_ in both, or the
_subject_ in one, and the _predicate_ in the other, it will not be
necessarily determined to the same thing. For let the premises be,
_Some man is blind_, In both which the middle
_Some man is learned_, } term is the _subject_,
it will not follow that _blind_ is the name of any _learned man_, or
_learned_ the name of any _blind man_, seeing the name _learned_ does
not contain the name _blind_, nor this that; and therefore it is not
necessary that both should be names of the same man. So from these
premises,
_Every man is a living-creature_, } In both which the middle
_Every horse is a living-creature_, } term is the _predicate_,
nothing will follow. For seeing _living creature_ is in both of them
_indefinite_, which is equivalent to _particular_, and that _man_ may be
one kind of _living creature_, and _horse_ another kind, it is not
necessary that _man_ should be the name of _horse_, or _horse_ of _man_.
Or if the premises be,