The very same point, substantially, is raised in the discussion
between Mr. John Stuart Mill and an opponent, in the note above
referred to. "A writer in the 'British Quarterly Review' endeavours
to show that there is no _petitio principii_ in the Syllogism, by
denying that the proposition All men are mortal, asserts or assumes
that Socrates is mortal. In support of this denial, he argues that we
may, and in fact do, admit the general proposition without having
particularly examined the case of Socrates, and even without knowing
whether the individual so named is a man or something else. But this
of course was never denied. That we can and do draw inferences
concerning cases specifically unknown to us, is the datum from which
all who discuss this subject must set out. The question is, in what
terms the evidence or ground on which we draw these conclusions may
best be designated--whether it is most correct to say that the
unknown case is proved by known cases, or that it is proved by a
general proposition including both sets of cases, the known and the
unknown? I contend for the former mode of expression. I hold it an
abuse of language to say, that the proof that Socrates is mortal, is
that all men are mortal. Turn it in what way we will, this seems to
me asserting that a thing is the proof of itself. Whoever pronounces
the words, All men are mortal, has affirmed that Socrates is mortal,
though he may never have heard of Socrates; for since Socrates,
whether known to be a man or not, really is a man, he is included in
the words, All men, and in every assertion of which they are the
subject. . . . . The reviewer acknowledges that the maxim (Dictum de
Omni et Nullo) as commonly expressed--'Whatever is true of a class is
true of everything included in the class,' is a mere identical
proposition, since the class _is_ nothing but the things included in
it. But he thinks this defect would be cured by wording the maxim
thus: 'Whatever is true of a class is true of everything which can be
shown to be a member of the class:' as if a thing could be shown to
be a member of the class without being one."
Public-domain text, read in full here on John Shaqi.
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