A System of Logic, Ratiocinative and Inductive (Vol. 1 of 2)
John Stuart Mill · en
§ 6. To complete the series of considerations connected with the
philosophical character of the syllogism, it is requisite to consider,
since the syllogism is not the universal type of the reasoning process,
what is the real type. This resolves itself into the question, what is the
nature of the minor premiss, and in what manner it contributes to
establish the conclusion: for as to the major, we now fully understand,
that the place which it nominally occupies in our reasonings, properly
belongs to the individual facts or observations of which it expresses the
general result; the major itself being no real part of the argument, but
an intermediate halting place for the mind, interposed by an artifice of
language between the real premisses and the conclusion, by way of a
security, which it is in a most material degree, for the correctness of
the process. The minor, however, being an indispensable part of the
syllogistic expression of an argument, without doubt either is, or
corresponds to, an equally indispensable part of the argument itself, and
we have only to inquire what part.
It is perhaps worth while to notice here a speculation of one of the
philosophers to whom mental science is most indebted, but who, though a
very penetrating, was a very hasty thinker, and whose want of due
circumspection rendered him fully as remarkable for what he did not see,
as for what he saw. I allude to Dr. Thomas Brown, whose theory of
ratiocination is peculiar. He saw the _petitio principii_ which is
inherent in every syllogism, if we consider the major to be itself the
evidence by which the conclusion is proved, instead of being, what in fact
it is, an assertion of the existence of evidence sufficient to prove any
conclusion of a given description. Seeing this, Dr. Brown not only failed
to see the immense advantage, in point of security for correctness, which
is gained by interposing this step between the real evidence and the
conclusion; but he thought it incumbent on him to strike out the major
altogether from the reasoning process, without substituting anything else,
and maintained that our reasonings consist only of the minor premiss and
the conclusion, Socrates is a man, therefore Socrates is mortal: thus
actually suppressing, as an unnecessary step in the argument, the appeal
to former experience. The absurdity of this was disguised from him by the
opinion he adopted, that reasoning is merely analysing our own general
notions, or abstract ideas; and that the proposition, Socrates is mortal,
is evolved from the proposition, Socrates is a man, simply by recognising
the notion of mortality as already contained in the notion we form of a
man.