Again, we can
predicate A of G without falsehood, and G of B; for to feel pleasure
is to relax, and to relax is to change. So the conclusion can be drawn
through middles which are different, i.e. not in the same series-yet
not so that neither of these middles is predicable of the other, for
they must both be attributable to some one subject.
A further point worth investigating is how many ways of proving
the same conclusion can be obtained by varying the figure,
30
There is no knowledge by demonstration of chance conjunctions; for
chance conjunctions exist neither by necessity nor as general
connexions but comprise what comes to be as something distinct from
these. Now demonstration is concerned only with one or other of
these two; for all reasoning proceeds from necessary or general
premisses, the conclusion being necessary if the premisses are
necessary and general if the premisses are general. Consequently, if
chance conjunctions are neither general nor necessary, they are not
demonstrable.
31
Scientific knowledge is not possible through the act of
perception.
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