In the Second and Third figures, though not in the First, it is
possible to obtain conclusions even from two premisses which are
contradictory or contrary to each other; but the conclusion will, as
a matter of course, be a self-contradictory one. Thus if in the
Second figure you have the two premisses--All Science is good; No
Science is good--you get the conclusion (in _Camestres_), No Science
is Science. In opposed propositions, the same predicate must be
affirmed and denied of the same subject in one of the three different
forms--All and None, All and Not All, Some and None. This shows why
such conclusions cannot be obtained in the First figure; for it is
the characteristic of that figure that the middle term must be
predicate in one premiss, and subject in the other.[17] In dialectic
discussion it will hardly be possible to get contrary or
contradictory premisses conceded by the adversary immediately after
each other, because he will be sure to perceive the contradiction:
you must mask your purpose by asking the two questions not in
immediate succession, but by introducing other questions between the
two, or by other indirect means as suggested in the Topica.[18]
[Footnote 17: Analyt. Prior. II. xv. p. 63, b. 22-p. 64, a. 32.
Aristotle here declares _Subcontraries_ (as they were later
called),--Some men are wise, Some men are not wise,--to be opposed
only in expression or verbally ([Greek: kata\ tê\n le/xin mo/non]).]
[Footnote 18: Ibid. II. xv. p. 64, a. 33-37. See Topica, VIII. i. p.
155, a. 26; Julius Pacius, p. 372, note. In the Topica, Aristotle
suggests modes of concealing the purpose of the questioner and
driving the adversary to contradict himself: [Greek: e)n de\ tô=s
Topikoi=s paradi/dôsi metho/dous tô=n kru/pseôn di' a(\s tou=to
dothê/setai] (Schol. p. 192, a. 18, Br.). Compare also Analyt. Prior.
II. xix. p. 66, a. 33.]
Aristotle now passes to certain general heads of Fallacy, or general
liabilities to Error, with which the syllogizing process is beset.
What the reasoner undertakes is, to demonstrate the conclusion before
him, and to demonstrate it in the natural and appropriate way; that
is, from premisses both more evident in themselves and logically
prior to the conclusion. Whenever he fails thus to demonstrate, there
is error of some kind; but he may err in several ways: (1) He may
produce a defective or informal syllogism; (2) His premisses may be
more unknowable than his conclusion, or equally unknowable; (3) His
premisses, instead of being logically prior to the conclusion, may be
logically posterior to it.[19]
[Footnote 19: Ibid. II. xvi. p. 64, b. 30-35: [Greek: kai\ ga\r ei)
o(/lôs mê\ sullogi/zetai, kai\ ei) di' a)gnôstote/rôn ê)\ o(moi/ôs
a)gnô/stôn, kai\ ei) dia\ tô=n u(ste/rôn to\ pro/teron; ê( ga\r
a)po/deixis e)k pistote/rôn te kai\ prote/rôn e)stin.... ta\ _me\n
di' au(tô=n pe/phuke gnôri/zesthai, ta\ de\ di' a)/llôn_.]]
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