In regard both to these propositions immediate and indivisible, and
to propositions mediate and deducible, there are two varieties of
error.[46] You may err simply, from ignorance, not knowing better,
and not supposing yourself to know at all; or your error may be a
false conclusion, deduced by syllogism through a middle term, and
accompanied by a belief on your part that you do know. This may
happen in different ways. Suppose the negative proposition, No B is
A, to be true immediately or indivisibly. Then, if you conclude the
contrary of this[47] (All B is A) to be true, by syllogism through
the middle term C, your syllogism must be in the First figure; it
must have the minor premiss false (since B is brought under C, when
it is not contained in any higher genus), and it may have both
premisses false. Again, suppose the affirmative proposition, All B is
A, to be true immediately or indivisibly. Then if you conclude the
contrary of this (No B is A) to be true, by syllogism through the
middle term C, your syllogism may be in the First figure, but it may
also be in the Second figure, your false conclusion being negative.
If it be in the First figure, both its premisses may be false, or one
of them only may be false, either indifferently.[48] If it be in the
Second figure, either premiss singly may be wholly false, or both may
be partly false.[49]
[Footnote 46: Analyt. Post. I. xvi. p. 79, b. 23: [Greek: a)/gnoia
kat' a)po/phasin--a)/gnoia kata\ dia/thesin]. See Themistius, p. 49,
Spengel. In regard to simple and uncombined ideas, ignorance is not
possible as an erroneous combination, but only as a mental blank. You
either have the idea and thus know so much truth, or you have not the
idea and are thus ignorant to that extent; this is the only
alternative. Cf. Aristot. Metaph. [Greek: Th]. p. 1051, a. 34; De
Animâ, III. vi. p. 430, a. 26.]
[Footnote 47: Analyt. Post. I. xvi. p. 79, b. 29. M. Barthélemy St.
Hilaire remarks (p. 95, n.):--"Il faut remarquer qu'Aristote ne
s'occupe que des modes universels dans la première et dans la seconde
figure, parceque, la démonstration étant toujours universelle, les
propositions qui expriment l'erreur opposée doivent l'être comme
elle. Ainsi ce sont les propositions contraires, et non les
contradictoires, dont il sera question ici."
For the like reason the Third figure is not mentioned here, but only
the First and Second: because in the Third figure no universal
conclusion can be proved (Julius Pacius, p. 431).]
[Footnote 48: Analyt. Post. I. xvi. p. 80, a. 6-26.]
[Footnote 49: Ibid. a. 27-b. 14: [Greek: e)n de\ tô=| me/sô|
schê/mati o(/las me\n ei)=nai ta\s prota/seis a)mphote/ras pseudei=s
ou)k e)nde/chetai--e)pi/ ti d' e(kate/ran ou)de\n kôlu/ei pseudê=
ei)=nai.]]
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