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On Sophistical Refutations   
demolishing them, whereas one solves merely apparent arguments by
drawing distinctions. Again, inasmuch as of arguments that are
properly reasoned some have a true and others a false conclusion,
those that are false in respect of their conclusion it is possible
to solve in two ways; for it is possible both by demolishing one of
the premisses asked, and by showing that the conclusion is not the
real state of the case: those, on the other hand, that are false in
respect of the premisses can be solved only by a demolition of one
of them; for the conclusion is true. So that those who wish to solve
an argument should in the first place look and see if it is properly
reasoned, or is unreasoned; and next, whether the conclusion be true
or false, in order that we may effect the solution either by drawing
some distinction or by demolishing something, and demolishing it
either in this way or in that, as was laid down before. There is a
very great deal of difference between solving an argument when being
subjected to questions and when not: for to foresee traps is
difficult, whereas to see them at one's leisure is easier.
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Of the refutations, then, that depend upon ambiguity and amphiboly
some contain some question with more than one meaning, while others
contain a conclusion bearing a number of senses: e.g. in the proof
that 'speaking of the silent' is possible, the conclusion has a double
meaning, while in the proof that 'he who knows does not understand
what he knows' one of the questions contains an amphiboly. Also the
double-edged saying is true in one context but not in another: it
means something that is and something that is not.
Whenever, then, the many senses lie in the conclusion no
refutation takes place unless the sophist secures as well the
contradiction of the conclusion he means to prove; e.g. in the proof
that 'seeing of the blind' is possible: for without the
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