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Prior Analytics - Book II   
related as whole and part. It is evident also that in fallacious
reasonings nothing prevents a contradiction to the hypothesis from
resulting, e.g. if something is odd, it is not odd. For the
syllogism owed its contrariety to its contradictory premisses; if we
assume such premisses we shall get a result that contradicts our
hypothesis. But we must recognize that contraries cannot be inferred
from a single syllogism in such a way that we conclude that what is
not good is good, or anything of that sort unless a self-contradictory
premiss is at once assumed, e.g. 'every animal is white and not
white', and we proceed 'man is an animal'. Either we must introduce
the contradiction by an additional assumption, assuming, e.g., that
every science is supposition, and then assuming 'Medicine is a
science, but none of it is supposition' (which is the mode in which
refutations are made), or we must argue from two syllogisms. In no
other way than this, as was said before, is it possible that the
premisses should be really contrary.
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To beg and assume the original question is a species of failure to
demonstrate the problem proposed; but this happens in many ways. A man
may not reason syllogistically at all, or he may argue from
premisses which are less known or equally unknown, or he may establish
the antecedent by means of its consequents; for demonstration proceeds
from what is more certain and is prior. Now begging the question is
none of these: but since we get to know some things naturally
through themselves, and other things by means of something else (the
first principles through themselves, what is subordinate to them
through something else), whenever a man tries to prove what is not
self-evident by means of itself, then he begs the original question.
This may be done by assuming what is in question at once; it is also
possible to make a transition to other things which would naturally be
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