[217] Sext. Math. viii. 89; Diog. 73: ἀντικείμενα are ὧν τὸ ἕτερον τοῦ
ἑτέρου ἐστὶν ἀποφατικὸν or (according to the outward treatment of these
determinations) ἀποφάσει πλεονάζει—as, It is day, and It is not day.
Aristotle called such a contradictory ἀντίφασις, a contrary ἐναντιότης,
putting both under the class conception of ἀντικείμενα. The Stoics
reserved ἀντικείμενα for contradictories (Simpl. Cat. 102, δ and 102,
ζ, a Stoic discussion intended to show that the conception of ἐνάντιον
is not applicable to negative sentences and conceptions), which is
after all only a difference in terminology. Ἐναντίον they also call
μαχόμενον (Apollon. Synt. 484, Bekk.). Otherwise, following Aristotle,
they distinguished between ἐναντίον and ἐναντίως ἔχον· ἐναντία are
conceptions which are in plain and immediate contrast, such as φρόνησις
and ἀφρόνησις· ἐναντίως ἔχοντα are those which are only contrasted by
means of the ἐναντία, such as φρόνιμος and ἄφρων (Simpl. Categ. 98, γ).
The former, therefore, apply to abstract, the latter to concrete
notions. That every negative judgment has an affirmative judgment
opposed to it is elaborately proved by a series of quotations from
poets, each one of which is four times repeated in the fragment περὶ
ἀποφατικῶν first edited by Letronne (Fragments inédits, Paris, 1838),
and subsequently emended, explained, and with a great degree of
probability referred to Chrysippus by Bergk (De Chrysippi libro περὶ
ἀποφατικῶν, Cassel, 1841, Gymn. progr.). In explaining the fragment
Prantl, Gesch. d. Log. I. 451 appears to have hit the truth in one
point, where Bergk is not satisfied.
[218] Simpl. Categ. 103, β; Cic. De Fato, 16, 37; N. D. i. 25, 70.
Further particulars above p. 83, 2; 110, 3.
[219] Viz. that the members of a disjunction, as well as their
contradictory opposites, must also be contraries (adversa or
pugnantia), and that from the truth of the one the falsehood of the
other follows. A disjunction which does not satisfy one or the other of
these conditions is false (παραδιεζευγμένον). Gell. N. A. xvi. 8, 12;
Sext. Pyrrh. ii. 191; Alex. Anal. Pr. 7, b.
[220] Diog. 71; Sext. Math. 109; Galen, De Simpl. Medicamen. ii. 16,
vol. xi. 499; Ps. Galen, Εἰσαγ. διαλ. p. 15. The Stoics distinguish
most unnecessarily, but quite in harmony with their ordinary formal
punctiliousness, the case in which the leading clause is identical with
the inferential clause (εἰ ἡμέρα ἐστὶν, ἡμέρα ἔστιν) and the case in
which it is different (εἰ ἡμέρα ἐστὶν, φῶς ἔστιν). Conditional
sentences of the first kind are called διφορούμενα συνημμένα. Sext.
viii. 281; 294; and 466; Pyrrh. ii. 112; conf. viii. 95; Diog. 68. That
in all these passages διφορούμενον must be read, and not διαφορούμενον,
appears according to Prantl’s (p. 445, 122) very true observation from
the remarks of Alex. Top. 7, a; Anal. Pr. 7, b, on διφορούμενοι
συλλογισμοί.
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