In these propositions, as in the others before noticed, the same
relation prevails between C and B, and between A and D; if C be true,
B also is true, but not _vice versâ_; if A be true, D also will be
true, but not _vice versâ_. But the propositions diagonally opposed
will not be so often alike true:[26] thus, if A be true (_Omnis est
homo justus_), C cannot be true (_Omnis est homo non justus_);
whereas in the former quaternion of propositions (indefinite, and
therefore capable of being construed as not universal) A and C might
both be alike true.[27]
[Footnote 26: Aristot. De Interpret. p. 19, b. 35. [Greek: plê\n
ou)ch o(moi/ôs ta\s kata\ dia/metron e)nde/chetai sunalêtheu/ein;
e)nde/chetai de\ pote/.] The "diameter" or "diagonal" is to be
understood with reference to the scheme or square mentioned p. 119,
note, the related propositions standing at the angles, as above.]
[Footnote 27: The Scholion of Ammonius, p. 123, a. 17, Br., explains
this very obscure passage: [Greek: a)ll' e)pi\ me\n tô=n
a)prosdiori/stôn] (indefinite propositions, such as may be construed
either as universal or as particular), [Greek: kata\ tê\n
e)ndechome/nên u(/lên ta/s te katapha/seis] (of the propositions
diagonally opposite), [Greek: sunalêtheu/ein a)llê/lais sumbai/nei
kai\ ta\s a)popha/seis, _a(/te tai=s merikai=s i)sodunamou/sas_.
e)pi\ de\ tô=n prosdiôrisme/nôn] (those propositions where the mark
of universality is tacked to the Subject), [Greek: peri\ ô(=n nuni\
au)tô=| o( lo/gos, tê=s katho/lou katapha/seôs kai\ tê=s e)pi\
me/rous a)popha/seôs, ta\s me\n katapha/seis a)du/naton
sunalêtheu=sai kath' oi(andê/pote u(/lên, ta\s me/ntoi a)popha/seis
sumbai/nei sunalêtheu/ein kata\ mo/nên tê\n e)ndechome/nên;] &c.]
It is thus that Aristotle explains the distinctions of meaning in
propositions, arising out of the altered collocation of the negative
particle; the distinction between (1) _Non est justus_, (2) _Est non
justus_, (3) _Est injustus_. The first of the three is the only true
negative, corresponding to the affirmative _Est Justus_. The second
is not a negative at all, but an affirmative ([Greek: e)k
metathe/seôs], or by transposition, as Theophrastus afterwards called
it). The third is an affirmative, but privative. Both the second and
the third stand related in the same manner to the first; that is, the
truth of the first is a necessary consequence either of the second or
of the third, but neither of these can be certainly inferred from the
first. This is explained still more clearly in the Prior Analytics;
to which Aristotle here makes express reference.[28]
[Footnote 28: Aristot. De Interpr. p. 19, b. 31. [Greek: tau=ta me\n
ou)=n, ô(/sper e)n toi=s A)nalutikoi=s le/getai, ou(/tô te/taktai.]
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Elsewhere in the archive
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account