A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. I
John Stuart Mill · en
§ 8. The theory of the syllogism, laid down in the preceding pages, has
obtained, among other important adhesions, three of peculiar value;
those of Sir John Herschel,[10] Dr. Whewell[11] and Mr. Bailey;[12] Sir
John Herschel considering the doctrine, though not strictly "a
discovery,"[13] to be "one of the greatest steps which have yet been
made in the philosophy of Logic." "When we consider" (to quote the
further words of the same authority) "the inveteracy of the habits and
prejudices which it has cast to the winds," there is no cause for
misgiving in the fact that other thinkers, no less entitled to
consideration, have formed a very different estimate of it. Their
principal objection cannot be better or more succinctly stated than by
borrowing a sentence from Archbishop Whately.[14] "In every case where
an inference is drawn from Induction (unless that name is to be given to
a mere random guess without any grounds at all) we must form a judgment
that the instance or instances adduced are _sufficient_ to authorize the
conclusion; that it is _allowable_ to take these instances as a sample
warranting an inference respecting the whole class;" and the expression
of this judgment in words (it has been said by several of my critics)
_is_ the major premise.
I quite admit that the major is an affirmation of the sufficiency of the
evidence on which the conclusion rests. That it is so, is the very
essence of my own theory. And whoever admits that the major premise is
_only_ this, adopts the theory in its essentials.
But I cannot concede that this recognition of the sufficiency of the
evidence--that is, of the correctness of the induction--is a part of the
induction itself; unless we ought to say that it is a part of everything
we do, to satisfy ourselves that it has been done rightly. We conclude
from known instances to unknown by the impulse of the generalizing
propensity; and (until after a considerable amount of practice and
mental discipline) the question of the sufficiency of the evidence is
only raised by a retrospective act, turning back upon our own footsteps,
and examining whether we were warranted in doing what we have already
done. To speak of this reflex operation as part of the original one,
requiring to be expressed in words in order that the verbal formula may
correctly represent the psychological process, appears to me false
psychology.[15] We review our syllogistic as well as our inductive
processes, and recognise that they have been correctly performed; but
logicians do not add a third premise to the syllogism, to express this
act of recognition. A careful copyist verifies his transcript by
collating it with the original; and if no error appears, he recognises
that the transcript has been correctly made. But we do not call the
examination of the copy a part of the act of copying.