← Diogenes Laertius

Lives and Opinions of Eminent Philosophers

§7.7.193-7.7.197

Catalogue of Works on Syllogistic Forms and Paradoxes

The catalogue of Chrysippus' logical writings continues, recording treatises on syllogistic moods, indemonstrable arguments, hypothetical reasoning, and paradoxes such as the Liar and their solutions.

← PrevNext →

Περὶ τῆς συντάξεως καὶ στοιχείων τῶν λεγομενων πρὸς Φίλιππον γ′. Περὶ τῶν στοιχείων τοῦ λόγου πρὸς Νικίαν α′. Περὶ τοῦ πρὸς ἕτερα λεγομένου α′. Σύνταξις τρίτη· Πρὸς τοὺς μὴ διαιρουμένους β′. Περὶ ἀμφιβολιῶν πρὸς Ἀπολλᾶν δ′. Περὶ τῶν τροπικῶν ἀμφιβολιῶν α′. Περὶ συνημμένης τροπικῆς ἀμφιβολίας β′. Πρὸς τὸ περὶ ἀμφιβολιῶν Πανθοίδου β′. Περὶ τῆς εἰς τὰς ἀμφιβολίας εἰσαγωγῆς ε′. Ἐπιτομὴ τῶν πρὸς Ἐπικράτην ἀμφιβολιῶν α′. Συνημμένα πρὸς τὴν εἰσαγωγὴν τῶν εἰς τὰς ἀμφιβολίας β′. Λογικοῦ τόπου πρὸς τοὺς λόγους καὶ τοὺς τρόπους. Σύνταξις πρώτη· Τέχνη λόγων καὶ τρόπων πρὸς Διοσκουρίδην ε′.

​To Philip, On the Syntax and Elements of Things Said, in three books. To Nicias, On the Elements of Speech, in one book. On That Which Is Said in Relation to Other Things, in one book. Third section: Against Those Who Do Not Distinguish, in two books. To Apollas, On Ambiguities, in four books. On Mood-related Ambiguities, in one book. On Connected Mood-related Ambiguity, in two books. Against Panthoides' Treatise On Ambiguities, in two books. On Introduction to Ambiguities, in five books. An Epitome of the Ambiguities Addressed to Epicrates, in one book. Appendices to the Introduction to Ambiguities, in two books. Of the logical part, concerning arguments and moods. First section: To Dioscurides, The Art of Arguments and Moods, in five books.

Περὶ τῶν λόγων γ′. Περὶ τρόπων συστάσεως πρὸς Στησαγόραν β′. Σύγκρισις τῶν τροπικῶν ἀξιωμάτων α′. Περὶ ἀντιστρεφόντων λόγων καὶ συνημμένων α′. Πρὸς Ἀγάθωνα ἢ περὶ τῶν ἑξῆς προβλημάτων α′. Περὶ τοῦ τίνα συλλογιστικά τινος μετʼ ἄλλου τε καὶ μετʼ ἄλλων α′. Περὶ τῶν ἐπιφορῶν πρὸς Ἀρισταγόραν α′. Περὶ τοῦ τάττεσθαι τὸν αὐτὸν λόγον ἐν πλείοσι τρόποις α′. Πρὸς τὰ ἀντειρημένα τῷ τὸν αὐτὸν λόγον ἐν συλλογιστικῷ καὶ ἀσυλλογίστῳ τετάχθαι τρόπῳ1 β′. Πρὸς τὰ ἀντειρημένα ταῖς τῶν συλλογισμῶν ἀναλύσεσι γ′. Πρὸς τὸ περὶ τρόπων Φίλωνος πρὸς Τιμόστρατον α′. Λογικὰ συνημμένα πρὸς Τιμοκράτην καὶ Φιλομαθῆ· εἰς τὰ περὶ λόγων καὶ τρόπων α′.

​On Arguments, in three books. To Stesagoras, On the Constitution of Moods, in two books. A Comparison of Mood-related Propositions, in one book. On Convertible Arguments and Conditionals, in one book. To Agathon, or On the Subsequent Problems, in one book. On Which Arguments Are Syllogistic of a Conclusion Along with One Other Premise or with Several, in one book. To Aristagoras, On Conclusions, in one book. On the Same Argument Being Arranged in Several Moods, in one book. Against the Objections to the Same Argument Being Arranged in Both a Syllogistic and an Asyllogistic Mood, in two books. Against the Objections to the Analyses of Syllogisms, in three books. To Timostratus, Against Philo's Treatise On Moods, in one book. To Timocrates and Philomathes, Logical Appendices: On the Works on Arguments and Moods, in one book.

Σύνταξις δευτέρα· Περὶ τῶν περαινόντων λόγων πρὸς Ζήνωνα α′. Περὶ τῶν πρώτων καὶ ἀναποδείκτων συλλογισμων πρὸς Ζήνωνα α′. Περὶ τῆς ἀναλύσεως τῶν συλλογισμῶν α′. Περὶ τῶν παρελκόντων λόγων πρὸς Πασύλον β′. Περὶ τῶν εἰς τοὺς συλλογισμοὺς θεωρημάτων α′. Περὶ συλλογισμῶν εἰσαγωγικῶν πρὸς Ζήνωνα α′. Τῶν πρὸς εἰσαγωγὴν τρόπων πρὸς Ζήνωνα γ′. Περὶ τῶν κατὰ ψευδῆ σχήματα συλλογισμῶν ε′. Λόγοι συλλογιστικοὶ κατʼ ἀνάλυσιν ἐν τοῖς ἀναποδείκτοις α′. Τροπικὰ ζητήματα πρὸς Ζήνωνα καὶ Φιλομαθῆ α′ ʽτοῦτο δοκεῖ ψευδεπίγραφον̓. Σύνταξις τρίτη· Περὶ τῶν μεταπιπτόντων λόγων πρὸς Ἀθηνάδην α′ ψευδεπίγραφον.

​Second section: To Zeno, On Concluding Arguments, in one book. To Zeno, On the Primary and Indemonstrable Syllogisms, in one book. On the Analysis of Syllogisms, in one book. To Pasylus, On Superfluous Arguments, in two books. On Theorems Pertaining to Syllogisms, in one book. To Zeno, On Introductory Syllogisms, in one book. To Zeno, On Moods for Introduction, in three books. On Syllogisms According to False Figures, in five books. Syllogistic Arguments by Analysis into the Indemonstrables, in one book. To Zeno and Philomathes, Problems on Moods, in one book (this seems to be spurious). Third section: To Athenades, On Changing Arguments, in one book (spurious).

Λόγοι μεταπίπτοντες πρὸς τὴν μεσότητα γ′ (ψευδεπίγραφα). Πρὸς τοὺς Ἀμεινίου διαζευκτικοὺς α′. Σύνταξις τετάρτη· Περὶ ὑποθέσεων πρὸς Μελέαγρον γ′. Λόγοι ὑποθετικοὶ εἰς τοὺς νόμους πρὸς Μελέαγρον πάλιν α′. Λόγοι ὑποθετικοὶ πρὸς εἰσαγωγὴν β′. Λόγοι ὑποθετικοὶ θεωρημάτων β′. Λύσεις τῶν Ἡδύλου ὑποθετικῶν β′. Λύσεις τῶν Ἀλεξάνδρου ὑποθετικῶν γ′ (ψευδεπίγραφα). Περὶ ἐκθέσεων πρὸς Λαοδάμαντα α′. Σύνταξις πέμπτη· Περὶ τῆς εἰς τὸν ψευδόμενον εἰσαγωγῆς πρὸς Ἀριστοκρέοντα α′. Λόγοι ψευδόμενοι πρὸς εἰσαγωγὴν α′. Περὶ τοῦ ψευδομένου πρὸς Ἀριστοκρέοντα ς′. Σύνταξις ἕκτη· Πρὸς τοὺς νομίζοντας καὶ ψευδῆ καὶ ἀληθῆ εἶναι α′.

​Changing Arguments Concerning the Mean, in three books (spurious). Against Ameinias' Disjunctions, in one book. Fourth section: To Meleager, On Hypotheses, in three books. Again to Meleager, Hypothetical Arguments Concerning Laws, in one book. Hypothetical Arguments for Introduction, in two books. Hypothetical Arguments on Theorems, in two books. Solutions to Hedylus' Hypothetical Arguments, in two books. Solutions to Alexander's Hypothetical Arguments, in three books (spurious). To Laodamas, On Expositions, in one book. Fifth section: To Aristocreon, On the Introduction to the Liar, in one book. Liar Arguments for Introduction, in one book. To Aristocreon, On the Liar, in six books. Sixth section: Against Those Who Think That Propositions Are Both False and True, in one book.

Πρὸς τοὺς διὰ τῆς τομῆς διαλύοντας τὸν ψευδόμενον λόγον πρὸς Ἀριστοκρέοντα β′. Ἀποδείξεις πρὸς τὸ μὴ δεῖν τέμνειν τὰ ἀόριστα α′. Πρὸς τὰ ἀντειρημένα τοῖς κατὰ τῆς τομῆς τῶν ἀορίστων πρὸς Πασύλον γ′. Λύσις κατὰ τοὺς ἀρχαίους πρὸς Διοσκουρίδην α′. Περὶ τῆς τοῦ ψευδομένου λύσεως πρὸς Ἀριστοκρέοντα γ′. Λύσεις τῶν Ἡδύλου ὑποθετικῶν πρὸς Ἀριστοκρέοντα καὶ Ἀπολλᾶν α′. Σύνταξις ἑβδόμη· Πρὸς τοὺς φάσκοντας τὰ λήμματα ἔχειν ψευδῆ τὸν ψευδόμενον λόγον2 α′. Περὶ ἀποφάσκοντος πρὸς τὸν Ἀριστοκρέοντα β′. Λόγοι ἀποφάσκοντες πρὸς γυμνασίαν α′. Περὶ τοῦ παρὰ μικρὸν λόγου πρὸς Στησαγόραν α′ β′. Περὶ τῶν εἰς τὰς ὑπολήψεις λόγων καὶ ἡσυχαζόντων πρὸς Ὀνήτορα β′.

​To Aristocreon, Against Those Who Solve the Liar Argument by Means of the Cut, in two books. Proofs That One Ought Not to Cut Indefinite Propositions, in one book. To Pasylus, Against the Objections to What Was Said Against the Cutting of Indefinite Propositions, in three books. To Dioscurides, Solution According to the Ancients, in one book. To Aristocreon, On the Solution to the Liar, in three books. To Aristocreon and Apollas, Solutions to Hedylus' Hypothetical Arguments, in one book. Seventh section: Against Those Who Assert That the Liar Argument Has False Premises, in one book. To Aristocreon, On the Denying Argument, in two books. Denying Arguments for Exercise, in one book. To Stesagoras, On the Little-by-Little Argument, in two books. To Onetor, On Arguments Pertaining to Assumptions and on Quiescent Arguments, in two books.

Syntax notes2 items
  1. 194Πρὸς τὰ ἀντειρημένα τῷ τὸν αὐτὸν λόγον ἐν συλλογιστικῷ καὶ ἀσυλλογίστῳ τετάχθαι τρόπῳ

    The articular perfect passive infinitive phrase τῷ ... τετάχθαι functions as a dative substantive clause serving as the complement to the passive participle ἀντειρημένα ("objections raised against..."). The logical subject of the infinitive τετάχθαι is the accusative phrase τὸν αὐτὸν λόγον.

  2. 197Πρὸς τοὺς φάσκοντας τὰ λήμματα ἔχειν ψευδῆ τὸν ψευδόμενον λόγον

    In the accusative and infinitive construction governed by φάσκοντας, the word order is inverted. The logical subject of the infinitive ἔχειν is the accusative phrase τὸν ψευδόμενον λόγον placed at the end, while τὰ λήμματα is its direct object and ψευδῆ is the predicate adjective (double accusative: "that the Liar argument has false premises").

Model: gemini-3.8-flashurn:cts:greekLit:tlg0004.tlg001.humanitext-grc2:7.7.193-7.7.197