It will be his business to see that he is not thus tripped up in the
syllogistic process.[33] If you ask the questions in the order above
indicated, without enunciating your preliminary conclusions, he must
take care not to concede the same term twice, either as predicate, or
as subject, or as both; for you can arrive at no conclusion unless he
grants you a middle term; and no term can be employed as middle,
unless it be repeated twice. Knowing the conditions of a conclusion
in each of the three figures, he will avoid making such concessions
as will empower you to conclude in any one of them.[34] If the thesis
which he defends is affirmative, the _elenchus_ by which you impugn
it must be a negative; so that he will be careful not to concede the
premisses for a negative conclusion. If his thesis be negative, your
purpose will require you to meet him by an affirmative; accordingly
he must avoid granting you any sufficient premisses for an
affirmative conclusion. He may thus make it impossible for you to
prove syllogistically the contrary or contradictory of his thesis;
and it is in proving this that the _elenchus_ or refutation consists.
If he will not grant you any affirmative proposition, nor any
universal proposition, you know, by the rules previously laid down,
that no valid syllogism can be constructed; since nothing can be
inferred either from two premisses both negative, or from two
premisses both particular.[35]
[Footnote 33: Analyt Prior. II. xix. p. 66, a. 25-32: [Greek: pro\s
de\ to\ mê\ katasullogi/zesthai paratêrête/on, o(/tan a)/neu tô=n
sumperasma/tôn e)rôta=| to\n lo/gon], &c.
Waitz (p. 520) explains [Greek: katasullogi/zesthai], "disputationum
et interrogationum laqueis aliquem irretire." This is, I think, more
correct than the distinction which M. Barthélemy St. Hilaire seeks to
draw, "entre le Catasyllogisme et la Réfutation," in the valuable
notes to his translation of the Analytica Priora, p. 303.]
[Footnote 34: Ibid. II. xix. p. 66, a. 25-32.]
[Footnote 35: Ibid. xx. p. 66, b. 4-17. The reader will observe how
completely this advice given by Aristotle is shaped for the purpose
of obtaining victory in the argument and how he leaves out of
consideration both the truth of what the opponent asks to be
conceded, and the belief entertained by the defendant. This is
exactly the procedure which he himself makes a ground of contemptuous
reproach against the Sophists.]
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