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
It is, perhaps, superfluous to dwell at so much length on what is so
nearly self-evident; but when a distinction, obvious as it may appear,
has been confounded, and by powerful intellects, it is better to say too
much than too little for the purpose of rendering such mistakes
impossible in future. I will, therefore, detain the reader while I point
out one of the absurd consequences flowing from the supposition that
definitions, as such, are the premises in any of our reasonings, except
such as relate to words only. If this supposition were true, we might
argue correctly from true premises, and arrive at a false conclusion. We
should only have to assume as a premise the definition of a nonentity;
or rather of a name which has no entity corresponding to it. Let this,
for instance, be our definition:
A dragon is a serpent breathing flame.
This proposition, considered only as a definition, is indisputably
correct. A dragon _is_ a serpent breathing flame: the word _means_ that.
The tacit assumption, indeed, (if there were any such understood
assertion), of the existence of an object with properties corresponding
to the definition, would, in the present instance, be false. Out of this
definition we may carve the premises of the following syllogism:
A dragon is a thing which breathes flame:
A dragon is a serpent:
From which the conclusion is,
Therefore some serpent or serpents breathe flame:--
an unexceptionable syllogism in the first mode of the third figure, in
which both premises are true and yet the conclusion false; which every
logician knows to be an absurdity. The conclusion being false and the
syllogism correct, the premises cannot be true. But the premises,
considered as parts of a definition, are true. Therefore, the premises
considered as parts of a definition cannot be the real ones. The real
premises must be--
A dragon is a _really existing_ thing which breathes flame:
A dragon is a _really existing_ serpent:
which implied premises being false, the falsity of the conclusion
presents no absurdity.
If we would determine what conclusion follows from the same ostensible
premises when the tacit assumption of real existence is left out, let
us, according to the recommendation in a previous page, substitute
_means_ for _is_. We then have--
Dragon is _a word meaning_ a thing which breathes flame:
Dragon is _a word meaning_ a serpent:
From which the conclusion is,
Some _word or words which mean_ a serpent, also mean a thing which
breathes flame:
where the conclusion (as well as the premises) is true, and is the only
kind of conclusion which can ever follow from a definition, namely, a
proposition relating to the meaning of words.
There is still another shape into which we may transform this syllogism.
We may suppose the middle term to be the designation neither of a thing
nor of a name, but of an idea. We then have--