A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. I
John Stuart Mill · en
regard him, nor is affected as to its truth or falsity by anything in
which he is concerned.
The difference between the reviewer's theory and mine may be thus
stated. Both admit that when we say, All men are mortal, we make an
assertion reaching beyond the sphere of our knowledge of individual
cases; and that when a new individual, Socrates, is brought within the
field of our knowledge by means of the minor premise, we learn that we
have already made an assertion respecting Socrates without knowing it:
our own general formula being, to that extent, for the first time
_interpreted_ to us. But according to the reviewer's theory, the smaller
assertion is proved by the larger: while I contend, that both assertions
are proved together, by the same evidence, namely, the grounds of
experience on which the general assertion was made, and by which it must
be justified.
The reviewer says, that if the major premise included the conclusion,
"we should be able to affirm the conclusion without the intervention of
the minor premise; but every one sees that that is impossible." A
similar argument is urged by Mr. De Morgan (_Formal Logic_, p. 259):
"The whole objection tacitly assumes the superfluity of the minor; that
is, tacitly assumes we know Socrates[46] to be a man as soon as we know
him to be Socrates." The objection would be well grounded if the
assertion that the major premise includes the conclusion, meant that it
individually specifies all it includes. As however the only indication
it gives is a description by marks, we have still to compare any new
individual with the marks; and to show that this comparison has been
made, is the office of the minor. But since, by supposition, the new
individual has the marks, whether we have ascertained him to have them
or not; if we have affirmed the major premise, we have asserted him to
be mortal. Now my position is that this assertion cannot be a necessary
part of the argument. It cannot be a necessary condition of reasoning
that we should begin by making an assertion, which is afterwards to be
employed in proving a part of itself. I can conceive only one way out of
this difficulty, viz. that what really forms the proof is _the other_
part of the assertion; the portion of it, the truth of which has been
ascertained previously: and that the unproved part is bound up in one
formula with the proved part in mere anticipation, and as a memorandum
of the nature of the conclusions which we are prepared to prove.