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Prior Analytics - Book II   
is due to the thesis to be proved and the premiss through which it
is proved being equally uncertain, either because predicates which are
identical belong to the same subject, or because the same predicate
belongs to subjects which are identical, the question may be begged in
the middle and third figures in both ways, though, if the syllogism is
affirmative, only in the third and first figures. If the syllogism
is negative, the question is begged when identical predicates are
denied of the same subject; and both premisses do not beg the question
indifferently (in a similar way the question may be begged in the
middle figure), because the terms in negative syllogisms are not
convertible. In scientific demonstrations the question is begged
when the terms are really related in the manner described, in
dialectical arguments when they are according to common opinion so
related.
17
The objection that 'this is not the reason why the result is false',
which we frequently make in argument, is made primarily in the case of
a reductio ad impossibile, to rebut the proposition which was being
proved by the reduction. For unless a man has contradicted this
proposition he will not say, 'False cause', but urge that something
false has been assumed in the earlier parts of the argument; nor
will he use the formula in the case of an ostensive proof; for here
what one denies is not assumed as a premiss. Further when anything
is refuted ostensively by the terms ABC, it cannot be objected that
the syllogism does not depend on the assumption laid down. For we
use the expression 'false cause', when the syllogism is concluded in
spite of the refutation of this position; but that is not possible
in ostensive proofs: since if an assumption is refuted, a syllogism
can no longer be drawn in reference to it. It is clear then that the
expression 'false cause' can only be used in the case of a reductio ad
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