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The Stoics, Epicureans and Sceptics

Part 2 — CHAPTER V. LOGIC OF THE STOICS.

Oswald J. (Oswald Joseph) Reichel translation

B. Theory of knowledge. (1) General character of this theory. The Stoic theory of knowledge turns about the enquiry for a criterion or standard by which what is true in notions may be distinguished from what is false. Since every kind of knowledge, no matter what be its object, must be tested by this standard, it follows that the standard cannot be sought in the subject-matter of notions, but, on the contrary, in their form. The enquiry after a standard becomes therefore identical with another—the enquiry as to what kind of notions supply a knowledge that may be depended upon, or what activity of the power of forming conceptions carries with it a pledge of its own truth. It is impossible to answer these questions without investigating the origin, the various kinds, and the value and importance of notions. Hence the problem proposed to the Stoics is reduced to seeking by an analysis of notions to obtain a universally valid standard by which their truth may be tested.

(2) Prominent points in the theory of knowledge. The character of this theory of knowledge appears mainly in three particulars:—(1) In the importance attached by the Stoics to the impressions of the senses. This feature they inherited from the Cynics and shared with the Epicureans. (2) In the exaltation of expression into a conception—a trait distinguishing this from either of the two other contemporary Schools. (3) In the practical turn given to the question of a criterion or standard of truth. We proceed to the expansion of this theory in detail.

(2) Its value. No very high estimate can therefore be formed of the formal logic of the Stoics. Incomplete as our knowledge of that logic may be, still what is known is enough to determine the judgment absolutely. We see indeed that the greatest care was expended by the Stoics since the time of Chrysippus in tracing the forms of intellectual procedure into their minutest ramifications, and referring them to fixed types. At the same time, we see that the real business of logic was lost sight of in the process, the business of portraying the operations of thought, and giving its laws, whilst the most useless trifling with forms was recklessly indulged in. The Stoics can have made no discoveries of importance even as to logical forms, or they would not have been passed over by writers ever on the alert to note the slightest deviation from the Aristotelian logic. Hence the whole contribution of the Stoics to the field of logic consists in their having clothed the logic of the Peripatetics with a new terminology, and having developed certain parts of it with painful minuteness, whilst they wholly neglected other parts, as was the fate of the part treating of inference. Assuredly it was no improvement for Chrysippus to regard the hypothetical rather than the categorical as the original form of inference. Making every allowance for the extension of the field of logic, in scientific precision it lost more than it gained by the labours of Chrysippus. The history of philosophy cannot pass over in silence this branch of the Stoic system, so carefully cultivated by the Stoics themselves, and so characteristic of their intellectual attitude. Yet, when all has been said, the Stoic logic is only an outpost of their system, and the care which was lavished on it since the time of Chrysippus indicates the decline of intellectual originality.

Notes in this chapter

Note 1 · Diog. 41: τὸ δὲ λογικὸν μέρος φασὶν ἔνιοι εἰς δύο διαιρεῖσθαι ἐπιστήμας, εἰς ῥητορικὴν καὶ διαλεκτικήν … τήν τε ῥητορικὴν ἐπιστήμην οὖσαν τοNote 2 · Diog. 41: Some divide logic into rhetoric and dialectic: τινὲς δὲ καὶ εἰς τὸ ὁρικὸν εἶδος, τὸ περὶ κανόνων καὶ κριτηρίων· ἔνιοι δὲ τὸ ὁρικὸνNote 3 · No description of their system can dispense with this fundamental enquiry, which had been already instituted by Zeno. It appears, however, tNote 4 · Our information on this head is very small. In the words: ῥητορικὴ verba curat et sensus et ordinem, a division of rhetoric is implied by SeNote 5 · See p. 70, 1, Alex. Aphr. Top. 3: οἱ μὲν ἀπὸ τῆς Στοᾶς ὁριζόμενοι τὴν διαλεκτικὴν ἐπιστήμην τοῦ εὖ λέγειν ὁρίζονται, τὸ δὲ εὖ λέγειν ἐν τῷ ἀNote 6 · See Anon. Prolegg. ad Hermog. Rhet. Gr. vii. 8, W.: οἱ Στωϊκοὶ δὲ τὸ εὖ λέγειν ἔλεγον τὸ ἀληθῆ λέγειν. ↑Note 7 · Diog. 42: ὅθεν καὶ οὕτως αὐτὴν [τὴν διαλεκτικὴν] ὁρίζονται, ἐπιστήμην ἀληθῶν καὶ ψευδῶν καὶ οὐδετέρων. (The same, p. 62, quoted from PosidonNote 8 · This is the meaning of the Stoic distinction between λόγος ἐνδιάθετος and προφορικὸς, a distinction subsequently employed by Philo and the FNote 9 · Diog. 43: τὴν διαλεκτικὴν διαιρεῖσθαι εἴς τε τὸν περὶ τῶν σημαινομένων καὶ τῆς φωνῆς τόπον. Ibid. 62: τυγχάνει δ’ αὕτη, ὡς ὁ Χρύσιππός φησι,Note 10 · Seneca continues: Ingens deinde sequitur utriusque divisio, without, however, giving it. ↑Note 11 · There is much which is open to doubt in Petersen’s attempt (Phil. Chrys. Fund. 221) to settle these divisions. At the very beginning, his reNote 12 · Diog. 55. ↑Note 13 · Diog. 44: εἶναι δὲ τῆς διαλεκτικῆς ἴδιον τόπον καὶ τὸν προειρημένον περὶ αὐτῆς τῆς φωνῆς, ἐν ᾧ δείκνυται ἡ ἐγγράμματος φωνὴ καὶ τίνα τὰ τοῦ Note 14 · Further particulars may be obtained in Schmidt’s Stoicorum Grammatica (Halle, 1839); Lersch, Sprachphilosophie der Alten; Steinthal, Gesch. Note 15 · Diog. vii. 54. ↑Note 16 · The statements of Zeno and Cleanthes, for instance, in reference to φαντασία, prove that these Stoics deduced their theory of knowledge fromNote 17 · Plut. Plac. iv. 12. Diog. vii. 50. Nemes. Nat. Hom. 76. Φαντασία is πάθος ἐν τῇ ψυχῇ γινόμενον, ἐνδεικνύμενον ἑαυτό τε καὶ τὸ πεποιηκός, in Note 18 · Plut. Plac. iv. 11: οἱ Στωϊκοί φασιν· ὅταν γεννηθῇ ὁ ἄνθρωπος ἔχει τὸ ἡγεμονικὸν μέρος τῆς ψυχῆς ὥσπερ χάρτης (χάρτην as Galen, H. Phil. 24,Note 19 · Plut. Comm. Not. 47: φαντασία τύπωσις ἐν ψυχῇ. The same in Diog. vii. 45 and 50. That this was also the view of Diogenes appears from what fNote 20 · Sext. Math. vii. 228: Κλεάνθης μὲν γὰρ ἤκουσε τὴν τύπωσιν κατὰ εἰσοχήν τε καὶ ἐξοχὴν ὥσπερ καὶ διὰ τῶν δακτυλίων γινομένην τοῦ κηροῦ τύπωσινNote 21 · Sext. vii. 229, continues: Χρύσιππος δὲ ἄτοπον ἡγεῖτο τὸ τοιοῦτον·—according to this view, it would be necessary for the soul to receive at Note 22 · Chrys. in Plut. Sto. Rep. 19, 2: ὅτι μὲν γὰρ αἰσθητά ἐστι τἀγαθὰ καὶ τὰ κακὰ, καὶ τούτοις ἐκποιεῖ λέγειν· οὐ γὰρ μόνον τὰ πάθη ἐστὶν αἰσθητὰNote 23 · Plut. Plac. iv. 11, 2: αἰσθανόμενοι γάρ τινος οἷον λευκοῦ ἀπελθόντος αὐτοῦ μνήμην ἔχουσιν, ὅταν δὲ ὁμοειδεῖς πολλαὶ μνήμαι γένωντα τότε φασὶNote 24 · Diog. vii. 52: ἡ δὲ κατάληψις γίνεται κατ’ αὐτοὺς αἰσθήσει μὲν, ὡς λευκῶν καὶ μελάνων καὶ τραχέων καὶ λείων· λόγῳ δὲ τῶν δι’ ἀποδείξεως συναNote 25 · Diog. l.c. Compare the passage quoted from Seneca, 81, 2. ↑Note 26 · Plut. Plac. iv. 11: τῶν δ’ ἐννοιῶν αἱ μὲν φυσικαὶ γίνονται κατὰ τοὺς εἰρημένους τρόπους (according to the context, this must mean by memory Note 27 · Plut. Plac. iv. 11: ὁ δὲ λόγος καθ’ ὃν προσαγορευόμεθα λογικοὶ ἐκ τῶν προλήψεων συμπληροῦσθαι λέγεται κατὰ τὴν πρώτην ἑβδομάδα (the first seNote 28 · Diog. vii. 53: φυσικῶς δὲ νοεῖται δίκαιόν τι καὶ ἀγαθόν. 54: ἔστι δ’ ἡ πρόληψις ἔννοια φυσικὴ τῶν καθόλου. In the same strain Chrysippus (inNote 29 · Compare Cic. Fin. iii. 10: hoc quarto [collatione rationis] boni notitia facta est; cum enim ab iis rebus, quæ sunt secundum naturam, adscenNote 30 · Stob. Ecl. ii. 128: εἶναι δὲ τὴν ἐπιστήμην κατάληψιν ἀσφαλῆ καὶ ἀμετάπτωτον ὑπὸ λόγου· ἑτέραν δὲ ἐπιστήμην σύστημα ἐξ ἐπιστημῶν τοιούτων, οἷNote 31 · See p. 80, 4. ↑Note 32 · This was the object of Plutarch’s treatise περὶ τῶν κοινῶν ἐννοιῶν. In the same way, the Peripatetic Diogenianus (in Euseb. Pr. Ev. vi. 8, 1Note 33 · Diog. 52: ἡ δὲ κατάληψις γίνεται κατ’ αὐτοὺς αἰσθήσει μὲν λευκῶν, κ.τ.λ. λόγῳ δὲ τῶν δι’ ἀποδείξεως συναγομένων, ὥσπερ τὸ θεοὺς εἶναι, κ.τ.λNote 34 · Sext. Math. viii. 10: οἱ δὲ ἀπὸ τῆς στοᾶς λέγουσι μὲν τῶν τε αἰσθητῶν τινα καὶ τῶν νοητῶν ἀληθῆ, οὐκ ἐξ εὐθείας δὲ τὰ αἰσθητὰ, ἀλλὰ κατὰ ἀναNote 35 · Sext. l.c. continues: ἀληθὲς γάρ ἐστι κατ’ αὐτοὺς τὸ ὑπάρχον καὶ ἀντικείμενόν τινι, καὶ ψεῦδος τὸ μὴ ὑπάρχον καὶ μὴ (this μὴ is obviously reNote 36 · Sext. Math. vii. 93; ὡς τὸ μὲν φῶς, φησὶν ὁ Ποσειδώνιος τὸν Πλάτωνος Τίμαιον ἐξηγούμενος, ὑπὸ τῆς φωτοειδοῦς ὄψεως καταλαμβάνεται, ἡ δὲ φωνὴNote 37 · See Zeller’s Philosophie der Griechen, vol. ii. b, 231. ↑Note 38 · Ibid. ii. a, 211. ↑Note 39 · Diog. 61: ἐννόημα (object of thought) δέ ἐστι φάντασμα διανοίας. οὔτε τί ὂν οὔτε ποιὸν, ὡσανεὶ δὲ τί ὂν καὶ ὡσανεὶ ποιόν. Stob. Ecl. i. 332:Note 40 · Diog. vii. 54: ἔστι δ’ ἡ πρόληψις ἔννοια φυσικὴ τῶν καθόλου. Exc. e Joan. Damasc. (Stob. Floril. ed. Mein. iv. 236), Nr. 34: Χρύσιππος τὸ μὲNote 41 · See p. 82, 1. ↑Note 42 · Cic. Acad. ii. 47, 145. ↑Note 43 · Stob. Ecl. ii. 128: Knowledge is defined to be ἕξις φαντασιῶν δεκτικὴ ἀμετάπτωτος ὑπὸ λόγου, ἥντινά φασιν ἐν τόνῳ καὶ δυνάμει κεῖσθαι. ↑Note 44 · Here may be noted the objection mentioned by Sext. Math. viii. 463; Pyrrh. ii. 186: The Sceptics cannot deny the possibility of arguing withNote 45 · Chrysippus opposed Arcesilaus, with such success, according to the view of the Stoic School, that Carneades was refuted by anticipation; andNote 46 · Plut. Sto. Rep. 10 (see p. 66, 1); Ibid. 47, 12: καὶ μὴν ἔν γε τοῖς πρὸς τοὺς Ἀκαδημαϊκοὺς ἀγῶσιν ὁ πλεῖστος αὐτῷ τε Χρυσίππῳ καὶ Ἀντιπάτρῳ Note 47 · In Sext. Math. vii. 244, ἀληθεῖς φαντασίαι are, first of all, literally explained to be φαντασίαι, ὧν ἔστιν ἀληθῆ κατηγορίαν ποιήσασθαι· theNote 48 · Sext. Math. viii. 397: ἔστι μὲν οὖν ἡ ἀπόδειξις, ὡς ἔστι παρ’ αὐτῶν ἀκούειν, καταληπτικῆς φαντασίας συγκατάθεσις, ἥτις διπλοῦν ἔοικεν εἶναι Note 49 · On the difference between the conception of εὔλογον and that of καταληπτικὴ φαντασία, the latter alone being unerring, see Athen. viii. 354,Note 50 · Compare besides p. 87, 2, Cic. Acad. i. 11, 41: [Zeno] visis (= φαντασίαις) non omnibus adjungebat fidem, sed iis solum, quæ propriam quandaNote 51 · Diog. vii. 54: κριτήριον δὲ τῆς ἀληθείας φασὶ τυγχάνειν τὴν καταληπτικὴν φαντασίαν, τουτέστι τὴν ἀπὸ ὑπάρχοντος, καθά φησι Χρύσιππος ἐν τῇ δNote 52 · See above p. 82, 1. ↑Note 53 · See above p. 89, 2, and Cic. Acad. ii. 31, 101: neque eos (the Academicians) contra sensus aliter dicimus, ac Stoici, qui multa falsa esse dNote 54 · See p. 60. ↑Note 55 · See p. 73, 3. ↑Note 56 · See Sext. Math. viii. 11: οἱ ἀπὸ τῆς στοᾶς, τρία φάμενοι συζυγεῖν ἀλλήλοις, τό τε σημαινόμενον καὶ τὸ σημαῖνον καὶ τὸ τυγχάνον. ὧν σημαῖνον Note 57 · See p. 84, 4. This question was raised in the Stoic School itself. Sextus at least, not hesitating to attack the Stoic teaching from this siNote 58 · Sext. Math. viii. 70, see above p. 83, 2: τῶν δὲ λεκτῶν τὰ μὲν ἐλλιπῆ καλοῦσι τὰ δὲ αὐτοτελῆ. Various kinds of propositions are then enumeraNote 59 · Plut. Qu. Plat. x. 1, 2, p. 1008. A judgment (πρότασις or ἀξίωμα) ἐξ ὀνόματος καὶ ῥήματος συνέστηκεν, ὧν τὸ μὲν πτῶσιν οἱ διαλεκτικοὶ, τὸ δὲNote 60 · The distinction between ὄνομα and κατηγόρημα was somewhat bluntly referred to this logical and metaphysical antithesis by the Stoics, as mayNote 61 · In nouns the cases were distinguished, the nominative, according to Ammon. l.c. being called ὄνομα, and the other five cases πτώσεις· a statNote 62 · There is nothing whatever on record which serves to show the position held by the categories. By several, definition and division were treatNote 63 · 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) ἀπόδοσιNote 64 · Petersen, Philos. Chrysipp. Fund. pp. 36–144, is invaluable for its careful collection of authorities, but in its attempt to construct the SNote 65 · The Stoics attack the Aristotelian categories for being too numerous, and endeavour to show that they do not include every kind of expressioNote 66 · That this was intended by Aristotle to be the position of the categories appears by the way in which he introduced them; and also by his obsNote 67 · It will thus be understood how the ancients could at one time speak of ὂν, at another of τί, as being the highest conception of the Stoics. Note 68 · See previous note and p. 92, 2. ↑Note 69 · The Stoics appear to have regarded them as γενικώτατα or πρῶτα γένη, rather than as categories. Conf. Simpl. Categ. 16, δ (in other places aNote 70 · Simpl. 16, δ: οἱ δέ γε Στωϊκοὶ εἰς ἐλάττονα συστέλλειν ἐξιοῦσι τὸν τῶν πρώτων γενῶν ἀριθμόν … ποιοῦνται γὰρ τὴν τομὴν εἰς τέσσαρα· εἰς ὑποκεNote 71 · Instead of ὑποκείμενον, the Aristotelian category of being, οὐσία, was substituted by some, not only without the School, but also by PosidonNote 72 · Porphyr. in Simpl. 12, δ: ἥ τε γὰρ ἄποιος ὕλη … πρῶτόν ἐστι τοῦ ὑποκειμένου σημαινόμενον. Plot. 588, B: ὑποκείμενα μὲν γὰρ πρῶτα τάξαντες καNote 73 · Simpl. 44, δ: ἔοικε Στωϊκῇ τινι συνηθείᾳ συνεπέσθαι, οὐδὲν ἄλλο ἢ τὸ ὑποκείμενον εἶναι νομίζων, τὰς δὲ περὶ αὐτὸ διαφορὰς ἀνυποστάτους ἡγούμNote 74 · Porphyr. in Simpl. Cat. 12, δ: διττόν ἐστι τὸ ὑποκείμενον οὐ μόνον κατὰ τοὺς ἀπὸ τῆς στοᾶς ἀλλὰ κατὰ τοὺς πρεσβυτέρους. Dexipp. See followinNote 75 · Diog. 150: οὐσίαν δέ φασι τῶν ὄντων ἁπάντων τὴν πρώτην ὕλην. So thought Zeno and Chrysippus: ὕλη δέ ἐστιν ἐξ ἧς ὁτιδηποτοῦν γίνεται. καλεῖταNote 76 · ποιὸν or ποιότης, and also ποιὸς (sc. λόγος). According to Simpl. 55. α, many Stoics assign a threefold meaning to ποιόν. The first, which iNote 77 · Simpl. 57, ε (the passage is fully discussed by Petersen, 85, and Trendelenburg, 223): οἱ δὲ Στωϊκοὶ τὸ κοινὸν τῆς ποιότητος τὸ ἐπὶ τῶν σωμάNote 78 · Syrian. on Arist. Metaph. 21, p. 90 in Petersen: καὶ οἱ Στωϊκοὶ δὲ τοὺς κοινοὺς ποιοὺς πρὸ τῶν ἰδίων ποιῶν ἀποτίθενται. Stob. Ecl. i. 434; sNote 79 · Besides the passages already quoted in note 2 on p. 101, from Plutarch and Stobæus, see Sext. Pyrrh. i. 57: τὰ κιρνάμενα (the intermingling Note 80 · L.c. 222. ↑Note 81 · This may be seen from the passages quoted in note 2 on the previous page. ↑Note 82 · Plut. St. Rep. 43, 4, p. 1054: τὴν ὕλην ἀργὸν ἐξ ἑαυτῆς καὶ ἀκίνητον ὑποκεῖσθαι ταῖς ποιότησιν ἀποφαίνουσι, τὰς δὲ ποιότητας πνεύματα οὔσας Note 83 · Plut. Ibid. § 2: (Χρύσιππος) ἐν τοῖς ἕξεων οὐδὲν ἄλλο τὰς ἕξεις πλὴν ἀέρας εἶναί φησιν· ὑπὸ τούτων γὰρ συνέχεται τὰ σώματα, καὶ τοῦ ποιὸν ἕκNote 84 · Alex. Aphr. De An. 143, b: πῶς δὲ σωζόντων ἐστὶ τὴν περὶ κράσεως κοινὴν πρόληψιν τὸ λέγειν καὶ τὴν ἕξιν τοῖς ἔχουσιν αὐτὴν μεμίχθαι καὶ τὴν Note 85 · Plut. C. Not. 36, 3: λέγουσιν οὗτοι καὶ πλάττουσιν ἐπὶ μιᾶς οὐσίας δύο ἰδίως γενέσθαι ποίους (this follows from their hypothesis, but it is Note 86 · Simpl. 70, ε: καὶ οἱ Στωϊκοὶ δὲ ποιότητας ποιοτήτων ποιοῦσιν ἑαυτῶν (? ἑκτῶν) ποιοῦντες ἑκτὰς ἕξεις [l. ἑκτὰ καὶ ἕξεις or ἕξεις only]. The cNote 87 · This follows of necessity, quite independently of the above-quoted language of Alexander, from the Stoic doctrine of the material nature of Note 88 · The proof of this will be given subsequently. Meantime compare the remarks, p. 92, 2; 94, 1 on the λεκτόν. ↑Note 89 · Simpl. 56, δ, and 54, β: οἱ δὲ Στωϊκοὶ τῶν μὲν σωμάτων σωματικὰς, τῶν δὲ ἀσωμάτων ἀσωμάτους εἶναι λέγουσι τὰς ποιότητας. Only the σωματικαὶ Note 90 · Conf. Simpl. 57, ε, who after giving the definition of quality, quoted p. 103, 1, continues: ἐν δὲ τούτοις, εἰ μὴ οἷόν τε κατὰ τὸν ἐκείνων λNote 91 · Simpl. 44, δ: ὁ δὲ τὴν στάσιν καὶ τὴν κάθισιν μὴ προσποιούμενος (including sc. τοῖς οὖσιν) ἔοικε Στωϊκῇ τινι συνηθείᾳ συνέπεσθαι οὐδὲν ἄλλο Note 92 · Dexipp. in Cat. 41, 20, Speng.: εἰ δέ τις εἰς τὸ πὼς ἔχον συντάττοι τὰς πλείστας κατηγορίας, ὥσπερ οἱ Στωϊκοὶ ποιοῦσιν. Plotin. vi. 1, 30, 5Note 93 · Simpl. 42, ε: οἱ δὲ Στωϊκοὶ ἀνθ’ ἑνὸς γένους δύο κατὰ τὸν τόπον τοῦτον ἀριθμοῦνται, τὰ μὲν ἐν τοῖς πρός τι τιθέντες, τὰ δ’ ἐν τοῖς πρός τί πNote 94 · Trendelenburg, 220, considers that these genera are in so far subordinate to one another, that the previous one continues in the next, but wNote 95 · See p. 103, 1. ↑Note 96 · See p. 107, 2; Plotin. vi. 1, 30: Why are πὼς ἔχοντα enumerated as a third category, since πάντα περὶ τὴν ὕλην πὼς ἔχοντα; the Stoics would Note 97 · Prantl, Gesch. d. Logik, i. 440–467. ↑Note 98 · In Diog. 66; Sext. Math. viii. 70; Ammon. De Interp. 4, a (Schol. in Arist. 93, a; 22, b, 20); Simpl. Cat. 103, α; Boëth. De Interp. 315; CrNote 99 · Diog. 65: ἀξίωμα δέ ἐστιν ὅ ἐστιν ἀληθὲς ἢ ψεῦδος. Questions and other similar sentences are neither true nor false (Ibid. 66 and 68). This Note 100 · Sext. Math. viii. 93: τῶν γὰρ ἀξιωμάτων πρώτην σχεδὸν καὶ κυριωτάτην ἐκφέρουσι διαφορὰν οἱ διαλεκτικοὶ καθ’ ἣν τὰ μέν ἐστιν αὐτῶν ἁπλᾶ τὰ δ’Note 101 · Sext. l.c., by whom Diog. must be corrected, see p. 113, 3. ↑Note 102 · Diog. 69: ἐν δὲ τοῖς οὐχ ἁπλοῖς τὸ συνημμένον καὶ τὸ παρασυνημμένον καὶ τὸ συμπεπλεγμένον καὶ τὸ αἰτιῶδες καὶ τὸ διεζευγμένον καὶ τὸ διασαφοNote 103 · There is no notice of a division of judgments into general and particular. Instead of that, Sext. (Math. viii. 96) distinguishes ὡρισμένα asNote 104 · An affirmative judgment was called καταφατικὸν, a negative ἀποφατικὸν, by Chrysippus in the fragment about to be quoted, and Simpl. Cat. 102Note 105 · Diog. 69 gives an example of ἀρνητικὸν, οὐδεὶς περιπατεῖ· one of particular negation, στερητικὸν—ἀφιλάνθρωπός ἐστιν οὗτος· one of double negNote 106 · Sext. Math. viii. 89; Diog. 73: ἀντικείμενα are ὧν τὸ ἕτερον τοῦ ἑτέρου ἐστὶν ἀποφατικὸν or (according to the outward treatment of these detNote 107 · Simpl. Categ. 103, β; Cic. De Fato, 16, 37; N. D. i. 25, 70. Further particulars above p. 83, 2; 110, 3. ↑Note 108 · Viz. that the members of a disjunction, as well as their contradictory opposites, must also be contraries (adversa or pugnantia), and that fNote 109 · Diog. 71; Sext. Math. 109; Galen, De Simpl. Medicamen. ii. 16, vol. xi. 499; Ps. Galen, Εἰσαγ. διαλ. p. 15. The Stoics distinguish most unneNote 110 · Sext. Math. viii. 112; κοινῶς μὲν γάρ φασιν ἅπαντες οἱ Διαλεκτικοὶ ὑγιὲς εἶναι συνημμένον, ὅταν ἀκολουθῇ τῷ ἐν αὐτῷ ἡγουμένῳ τὸ ἐν αὐτῷ λῆγοNote 111 · According to Sext. Pyrrh. ii. 100, Math. viii. 143 and 156, the Stoics distinguished between σημεῖα ὑπομνηστικὰ and σημεῖα ἐνδεικτικά. The dNote 112 · Diodorus had said that Only what is, or what will be, is possible. The Stoics, and in particular Chrysippus, define δυνατὸν as what is capabNote 113 · Plut. Sto. Rep. 46, p. 1055, justly insists on this point. ↑Note 114 · Prantl, pp. 467–496. ↑Note 115 · Diog. 45; Sext. Pyrrh. ii. 194, see above p. 65. ↑Note 116 · Both were included by the Peripatetics under the term hypothetical. In the same way the Stoics include both among the five ἀναπόδεικτοι. SeeNote 117 · Chain-argument seems to have been also treated of in the categorical form. See p. 120, 3. ↑Note 118 · As shown by Prantl, 468, 171; on Diog. 76; Sext. Pyrrh. ii. 135; Apul. Dogm. Plat. iii. 279, Oud. The latter rightly refers to the fact, thaNote 119 · Anal. Pr. 87, b: δι’ ὑποθέσεως δὲ ἄλλης, ὡς εἶπεν (Arist. Anal. Pr. i. 23, 41, a, 37) εἶεν ἂν καὶ οὓς οἱ νεώτεροι συλλογισμοὺς μόνους βούλονNote 120 · Such an inference was called λόγος· when it was expressed in definite terms, for instance, If it is day, it is light. The arrangement of theNote 121 · Alex. Anal. Pr. 116, b, after mentioning ἀμεθόδως περαίνοντες συλλογισμοὶ, or inferences incomplete in point of form, such as: A = B, B = C,Note 122 · συνακτικοὶ or περαντικοὶ, and ἀσυνακτικοὶ or ἀπέραντοι, or ἀσυλλόγιστοι. Sext. Pyrrh. ii. 137; Math. viii. 303 and 428; Diog. 77. ↑Note 123 · Syllogisms which are conclusive in point of fact, but wanting in precision of form, were called περαντικοί in the narrower sense; those compNote 124 · An inference is true (ἀληθὴς) when not only the illation is correct (ὑγιὴς), but when the individual propositions, the premisses as well as Note 125 · Sext. Pyrrh. ii. 140 and 135; Math. viii. 305; 313; and 411: True forms of inference are divided into ἀποδεικτικοὶ and οὐκ ἀποδεικτικοὶ. ἀποNote 126 · According to Diog. 79, Sext. Pyrrh. ii. 157, others added other forms of ἀναπόδεικτοι. Cic., in adding a sixth and seventh (Top. 14, 57), muNote 127 · Consult, on these five ἀναπόδεικτοι of Chrysippus (which need not be given here more at length, and are absolutely identical with those of TNote 128 · Two such cases are distinguished, one in which all three clauses, the other in which the conclusion and minor premiss are identical. The firNote 129 · Cic. Top. 15, 57: ex his modis conclusiones innumerabiles nascuntur. Sext. Math. viii. 228, in which passage it is striking that ἀναπόδεικτοNote 130 · Diog. 78: συλλογιστικοὶ [λόγοι] μὲν οὖν εἰσιν οἱ ἤτοι ἀναπόδεικτοι ὄντες ἢ ἀναγόμενοι ἐπὶ τοὺς ἀναποδείκτους κατά τι τῶν θεμάτων ἢ τινά. AccNote 131 · Sext. 229–243, borrowing the example used by Ænesidemus, but no doubt following the Stoic treatment. Prantl, 479. Such a composite inferenceNote 132 · Sext.; Prantl, p. 478. ↑Note 133 · Alex. on Anal. Pr. i. 25, 42, b, 5, after speaking of the Sorites, continues (p. 94, b): ἐν τῇ τοιαύτῃ τῶν προτάσεων συνεχείᾳ τό τε συνθετικNote 134 · Called μονολήμματοι συλλογισμοί. Such were ἡμέρα ἔστι, φῶς ἄρα ἔστιν· and ἀναπνεῖς, ζῇς ἄρα. See Alex. Top. 6, 274; Anal. Pr. 7, a, 8, a: SeNote 135 · Compare the remarks of Prantl, 481, on Sext. Pyrrh. ii. 2; Alex. Anal. Pr. 53, b; Galen, l.c.; Ps. Galen, Εἰσαγ. διαλ. 57. If Posidonius, acNote 136 · Conf. Alex. Anal. Pr. 95, a; Galen. See above p. 120, 3. According to Ps. Galen, l.c. p. 58, Chrysippus wrote these treatises on ΣυλλογιστικNote 137 · Diog. 186, mentions fallacies due to Chrysippus, which can only have been raised for the purpose of being refuted. ↑Note 138 · The list of his writings contains a number of treatises on fallacies, among them no less than five on the ψευδόμενος. ↑Note 139 · Cic. Acad. ii. 29, 93: Placet enim Chrysippo, cum gradatim interrogetur, verbi causa, tria pauca sint, anne multa, aliquanto prius, quam ad Note 140 · Prantl, pp. 485–496. ↑Note 141 · Sext. Math. viii. 367: ἀλλ’ οὐ δεῖ, φασὶ, πάντων ἀπόδειξιν αἰτεῖν, τινὰ δὲ καὶ ἐξ ὑποθέσεως λαμβάνειν, ἐπεὶ οὐ δυνήσεται προβαίνειν ἡμῖν ὁ λNote 142 · Whether this enquiry was pursued by the older Stoics in all its comprehensiveness is a point on which we have no information. Boëthus, whoseNote 143 · (a) Perceptions the result of impressions from without. The origin of all perceptions (φαντασίαι) may be referred to the action of some objeNote 144 · (b) Conceptions formed from perceptions. It follows, as a necessary corollary from this view, that the Stoics regarded sensation as the onlyNote 145 · (c) Relation of perceptions and conceptions. Perceptions, and the conclusions based upon them,33 being thus, according to the Stoics, the twNote 146 · (d) The standard of truth. (α) Practical need of such a standard. From these considerations it follows that in the last resort only a relatiNote 147 · (β) Irresistible perceptions the standard of truth. The same result is obtained from a special enquiry into the nature of the standard of trNote 148 · The latter tendency will alone explain the care and precision which the Stoics devoted to studying the forms and rules which govern intellecNote 149 · C. Formal logic. (1) Utterance in general. The term formal logic is here used to express those investigations which the Stoics included undeNote 150 · Utterance may be either perfect or imperfect. It is perfect when it contains a proposition; imperfect when the proposition is incomplete.58 Note 151 · (2) Incomplete expression. (a) The grammar of words. In the section devoted to incomplete expression, much is found which we should include Note 152 · Certain it is that these researches introduced little new matter. All that is known of the Stoic views in reference to the formation, the muNote 153 · (b) The Stoic Categories. Of greater importance is the Stoic doctrine of the categories.64 In this branch of logic, the Stoics again follow Note 154 · (α) Highest Conception—an indefinite Something. The highest conception of all was apparently by the older Stoics declared to be the conceptiNote 155 · (β) Category of subject-matter or substance. The first of these categories71 denotes the subject-matter of things in themselves (τὸ ὑποκείμεNote 156 · (γ) The category of property. The second category, that of property76 or form, comprises all those essential attributes, by means of which aNote 157 · (δ) The categories of variety and variety of relation. The two remaining categories include everything which may be excluded from the concepNote 158 · (c) Relation of the categories to one another. The relation of these four categories to one another is such, that each preceding category isNote 159 · (3) Complete utterance. (a) Judgment. Passing from incomplete to complete utterance, we come, in the first place, to sentences or propositioNote 160 · (β) Composite judgments. Among composite judgments the most important are the hypothetical and the disjunctive. As regards the latter, next Note 161 · (γ) Modality of judgments. The modality of judgments, which engaged the attention of Aristotle and his immediate pupils so much, was likewisNote 162 · (b) Inference. In their theory of illation,114 to which the Stoics attached special value, and on which they greatly prided themselves,115 cNote 163 · (γ) Composite forms of inference. The combination of these five simple forms of inference gives rise to the composite forms of inference,129Note 164 · (c) Refutation of fallacies. Next to describing inferences which are valid, another subject engaged the close attention of the Stoics, and aNote 165 · D. Estimate of Stoic Logic. (1) Its shortcomings. In all these researches the Stoics were striving to find firm ground for a scientific procNote 166 · Natural Science was divided by the Stoics themselves (Diog. 132): (1) εἰδικῶς into τόποι περὶ σωμάτων καὶ περὶ ἀρχῶν καὶ στοιχείων καὶ θεῶν Note 167 · Of far more importance in the Stoic system than the study of logic was the study of nature. This branch of learning, notwithstanding an appeNote 168 · A. Materialism. (1) Meaning of the Stoic materialism. (a) Material or corporeal objects. (α) Reality belongs to material objects only. NothiNote 169 · Stob. i. 370: Ζήνωνα δὲ οὕτως ἀποφαίνεσθαι διαρρήδην· τοιαύτην δεήσει εἶναι ἐν περιόδῳ τὴν τοῦ ὅλου διακόσμησιν ἐκ τῆς οὐσίας. ὅταν ἐκ πυρὸς
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