[Footnote 57: Analyt. Post. II. xvi. p. 98, a. 35, seq. Themistius,
pp. 96-97: [Greek: ou) ga/r e)stin ai)/tion tou= tê\n gê=n e)n me/sô|
ei)=nai to\ tê\n selê/nên e)klei/pein, a)lla\ me/son tou=
sullogismou=; kai\ tou= sumpera/smatos i)/sôs ai)/tion, _tou=
pra/gmatos de\ ou)damô=s_.] Themistius here speaks with a precision
which is not always present to the mind of Aristotle; for he
discriminates the cause of _the fact_ from the cause of the _affirmed
fact_ or _conclusion_. M. Barthélemy St. Hilaire says (Plan Général
des Derniers Analytiques, p. cxl.):--"Ainsi, la démonstration de
l'effet par la cause apprend pourquoi la chose est; la démonstration
par l'effet apprend seulement que la chose est. On sait que la terre
s'interpose, mais on ne sait pas pourquoi elle s'interpose: et ce qui
le montre bien, c'est que l'idée de l'interposition de la terre est
indispensable à la définition essentielle de l'éclipse tandis que
l'idée de l'éclipse n'a que faire dans la définition de
l'interposition. L'interposition de la terre fait donc comprendre
l'éclipse; tandis que l'éclipse ne fait pas du tout comprendre
l'interposition de la terre."]
The question then arises, Can there be more than one cause of the
same _causatum_? Is it necessary that the same effect should be
produced in all cases by the same cause? In other words, when the
same predicate is demonstrated to be true of two distinct minors, may
it not be demonstrated in one case by one middle term, and in the
other case by a different middle term?[58] Answer: In genuine and
proper scientific problems the middle term is the rational account
(definition, interpretation) of the major extreme; this middle term
therefore, or the cause, must in all cases be one and the same. The
demonstration in these cases is derived from the same essence; it is
_per se_, not _per accidens_. But there are other problems, not
strictly and properly scientific, in which cause and _causatum_ are
connected merely _per accidens_; the demonstration being operated by
a middle term which is not of the essence of the major, but is only a
sign or concomitant.[59] According as the terms of the conclusion are
related to each other, so also will the middle term be related to
both. If the conclusion be equivocal, the middle term will be
equivocal also; if the predicate in the conclusion be in generic
relation to the subject, the major also will be in generic relation
to the middle. Thus, if you are demonstrating that one triangle is
similar to another, and that one colour is similar to another, the
word similar in these two cases is not univocal, but equivocal;
accordingly, the middle term in the demonstration will also be
equivocal. Again, if you are demonstrating that four proportionals
will also be proportionals alternately, there will be one cause or
middle term, if the subject of the conclusion be lines; another, if
the subject be numbers. Yet the middle term or cause in both is the
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