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The Stoics, Epicureans and Sceptics

Note 102 — Chapter V · LOGIC OF THE STOICS.

Oswald J. (Oswald Joseph) Reichel translation

Diog. 69: ἐν δὲ τοῖς οὐχ ἁπλοῖς τὸ συνημμένον καὶ τὸ παρασυνημμένον καὶ τὸ συμπεπλεγμένον καὶ τὸ αἰτιῶδες καὶ τὸ διεζευγμένον καὶ τὸ διασαφοῦν τὸ μᾶλλον καὶ τὸ διασαφοῦν τὸ ἧττον. Further details presently respecting the συνημμένον and διεζευγμένον. For the παρασυνημμένον—a conditional sentence, the first part of which is introduced by ἐπειδὴ—see Diog. 71 and 74; for the συμπεπλεγμένον, the characteristic of which is the καὶ and καὶ, see Diog. 72; Sext. Math. viii. 124; Gell. N. A. xvi. 8 and 9; Ps. Galen, Εἰσαγ. διαλ. 13; Dexipp. in Cat. 27, 3, Speng.; (Schol. in Arist. 44. a, 9—Prantl, 446, says this passage is not quite correct; it only implies that the term συμπλοκὴ was confined to a copulative judgment); for the αἰτιῶδες, which is characterised by a διότι, and therefore is not identical with the παρασυνημμένον, Diog. 72 and 74; for the διασαφοῦν τὸ μᾶλλον and the διασαφοῦν τὸ ἧττον, Diog. 72; conf. Cramer, Anecd. Oxon. i. 188; Apollon. Synt. (Bekker’s Anecd. ii.), 481. These are only some of the principal forms of composite judgments, their number being really indefinite. Chrysippus estimated that a million combinations might be formed with ten sentences. The celebrated mathematician, Hipparchus however, proved that only 103,049 affirmative and 310,952 negative judgments could be formed with that material (Plut. Sto. Rep. 29, 5, p. 1047; Qu. Symp. viii. 9, 3, 11, p. 732). ↑

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