When a piece of reasoning is before us, we must first try to
disengage the two syllogistic premisses (which are more easily
disengaged than the three terms), and note which of them is universal
or particular. The reasoner, however, may not have set out both of
them clearly: sometimes he will leave out the major, sometimes the
minor, and sometimes, even when enunciating both of them, he will
join with them irrelevant matter. In either of these cases we must
ourselves supply what is wanting and strike out the irrelevant.
Without this aid, reduction to regular syllogism is impracticable;
but it is not always easy to see what the exact deficiency is.
Sometimes indeed the conclusion may follow necessarily from what is
implied in the premisses, while yet the premisses themselves do not
form a correct syllogism; for though every such syllogism carries
with it necessity, there may be necessity without a syllogism. In the
process of reduction, we must first disengage and set down the two
premisses, then the three terms; out of which three, that one which
appears twice will be the middle term. If we do not find one term
twice repeated, we have got no middle and no real syllogism. Whether
the syllogism when obtained will be in the first, second, or third
figure, will depend upon the place of the middle term in the two
premisses. We know by the nature of the conclusion which of the three
figures to look for, since we have already seen what conclusions can
be demonstrated in each.[73]
[Footnote 73: Ibid. a. 10-b. 14.]
Sometimes we may get premisses which look like those of a true
syllogism, but are not so in reality; the major proposition ought to
be an universal, but it may happen to be only indefinite, and the
syllogism will not in all cases be valid; yet the distinction between
the two often passes unnoticed.[74] Another source of fallacy is,
that we may set out the terms incorrectly; by putting (in modern
phrase) the abstract instead of the concrete, or abstract in one
premiss and concrete in the other.[75] To guard against this, we
ought to use the concrete term in preference to the abstract. For
example, let the major proposition be, Health cannot belong to any
disease; and the minor. Disease can belong to any man; _Ergo_, Health
cannot belong to any man. This conclusion seems valid, but is not
really so. We ought to substitute concrete terms to this effect:--It
is impossible that the sick can be well; Any man may be sick; _Ergo_,
It is impossible that any man can be well. To the syllogism, now, as
stated in these concrete terms, we may object, that the major is not
true. A person who is at the present moment sick may at a future time
become well. There is therefore no valid syllogism.[76] When we take
the concrete man, we may say with truth that the two contraries,
health-sickness, knowledge-ignorance, _may_ both alike belong to him;
though not to the same individual at the same time.
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