[174] According to Diog. 60, Bekker, Anecd. ii. 647, ὅρος was defined
by Chrysippus as ἰδίου (which must be read in Diog. in place of καὶ)
ἀπόδοσις· by Antipater as λόγος κατ’ ἀνάλυσιν (Anecd. ἀνάγκην)
ἀπαρτιζόντως ἐκφερόμενος, i.e. a proposition in which the subject and
the collective predicates may be interchanged. Ὁρισμὸς gives in detail
what ὄνομα gives collectively (Simpl. Categ. 16, β). An imperfect ὅρος
is called ὑπογραφή. Instead of the Aristotelian τί ἦν εἶναι, the Stoics
were content with the τί ἦν of Antisthenes (Alex. Top. 24, m). Like
Prodicus, they laid great stress on distinguishing accurately the
conceptions of words of similar meaning, χαρὰ, τέρψις, ἡδονὴ, εὐφροσύνη
(Alex. Top. 96). The relation of γένος to εἶδος is also explained:
γένος is defined to be the summing up of many thoughts (ἀναφαιρέτων
ἐννοημάτων· which might mean thoughts which, as integral parts of a
conception, cannot be separated from it; only this explanation would
not agree with what follows, according to which one would more likely
think of the different species included in the genus. Prantl p. 422
suggests ἀναφορητῶν, which, however, requires explanation); εἶδος as τὸ
ὑπὸ τοῦ γένους περιεχόμενον (Diog. 60). γενικώτατον is ὃ γένος ὂν γένος
οὐκ ἔχει· εἰδικώτατον ὃ εἶδος ὂν εἶδος οὐκ ἔχει (Diog. 61; conf. Sext.
Pyrrh. i. 138). As to διαίρεσις, ὑποδιαίρεσις, and ἀντιδιαίρεσις
(division into contradictories) nothing new is stated; but μερισμὸς has
a special notice (Diog. 61). Lastly, if Sext. Pyrrh. ii. 213 (the
previous definition of dialectic is found, as was stated on p. 73, 3,
in Alcinous Isag. 3, and he also mentions c. 5 three of the four kinds
of division, giving two others instead of the fourth) refers to the
Stoics, four kinds of division are enumerated. The reference of the 8
διαιρέσεις mentioned by Prantl, p. 423, on the authority of Bekker’s
Anecd. ii. 679 to a Stoic source is much more doubtful. There is little
that is new in the Stoic discussion of Opposition, and the same may be
said of what Simpl. (Categ. 100, β and δ; 101, ε; 102, β) quotes from
Chrysippus (περὶ τῶν κατὰ στέρησιν λεγομένων) on the subject of
στέρησις and ἕξις. Conf. Diog. vii. 190.
[175] Petersen, Philos. Chrysipp. Fund. pp. 36–144, is invaluable for
its careful collection of authorities, but in its attempt to construct
the Stoic system on the categories it indulges in many capricious
combinations. Trendelenburg, Hist. Beitr. i. 217; Prantl, Gesch. der
Logik, i. 426. Our authorities for the knowledge of the Stoic doctrine
of the categories are besides a few notices in other writers
principally Simplicius, on the Categories, and Plotinus, Ennead. vi. 1,
25–30.
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