A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. I
John Stuart Mill · en
Mr. De Morgan, exactly reversing the doctrine of Archbishop Whately,
understands by a Real Definition one which contains _less_ than the
Nominal Definition, provided only that what it contains is sufficient
for distinction. "By _real_ definition I mean such an explanation of the
word, be it the whole of the meaning or only part, as will be sufficient
to separate the things contained under that word from all others. Thus
the following, I believe, is a complete definition of an elephant: An
animal which naturally drinks by drawing the water into its nose, and
then spurting it into its mouth."--_Formal Logic_, p. 36. Mr. De
Morgan's general proposition and his example are at variance; for the
peculiar mode of drinking of the elephant certainly forms no part of the
meaning of the word elephant. It could not be said, because a person
happened to be ignorant of this property, that he did not know what an
elephant means.
[28] In the only attempt which, so far as I know, has been made to
refute the preceding argumentation, it is maintained that in the first
form of the syllogism,
A dragon is a thing which breathes flame,
A dragon is a serpent,
Therefore some serpent or serpents breathe flame,
"there is just as much truth in the conclusion as there is in the
premises, or rather, no more in the latter than in the former. If the
general name serpent includes both real and imaginary serpents, there is
no falsity in the conclusion; if not, there is falsity in the minor
premise."
Let us, then, try to set out the syllogism on the hypothesis that the
name serpent includes imaginary serpents. We shall find that it is now
necessary to alter the predicates; for it cannot be asserted that an
imaginary creature breathes flame: in predicating of it such a fact, we
assert by the most positive implication that it is real and not
imaginary. The conclusion must run thus, "Some serpent or serpents
either do or are _imagined_ to breathe flame." And to prove this
conclusion by the instance of dragons, the premises must be, A dragon is
_imagined_ as breathing flame, A dragon is a (real or imaginary)
serpent: from which it undoubtedly follows, that there are serpents
which are imagined to breathe flame; but the major premise is not a
definition, nor part of a definition; which is all that I am concerned
to prove.
Let us now examine the other assertion--that if the word serpent stands
for none but real serpents, the minor premise (a dragon is a serpent) is
false. This is exactly what I have myself said of the premise,
considered as a statement of fact: but it is not false as part of the
definition of a dragon; and since the premises, or one of them, must be
false, (the conclusion being so,) the real premise cannot be the
definition, which is true, but the statement of fact, which is false.