- Source
- Diogenes Laertius. Hicks, R. D., editor. Cambridge, MA.: Harvard University Press; London: William Heinemann Ltd., 1925.
- Translation
- AI-generated (gemini-3.8-flash) — machine translation; may contain errors
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- 日本語 · English · 简体中文 · 한국어
- CTS URN
- urn:cts:greekLit:tlg0004.tlg001.humanitext-grc2:3.1.67-3.1.72
- Generated
- Humanitext Reader · reader.humanitext.ai · 2026-09-24
Plato's physical doctrines are summarized, covering the soul's immortality and tripartite division, the astronomical structure of the world-soul, the two principles of God and matter, the geometric composition of the four elements, and the generation of a single, spherical, imperishable cosmos.
Τὰ δὲ ἀρέσκοντα αὐτῷ ταῦτα ἦν. ἀθάνατον ἔλεγε τὴν ψυχὴν καὶ πολλὰ μεταμφιεννυμένην σώματα, ἀρχήν τε ἔχειν ἀριθμητικήν, τὸ δὲ σῶμα γεωμετρικήν· ὡρίζετο δὲ αὐτὴν ἰδέαν τοῦ πάντῃ διεστῶτος πνεύματος. αὐτοκίνητόν τε εἶναι καὶ τριμερῆ· τὸ μὲν γὰρ αὐτῆς λογιστικὸν μέρος περὶ τῇ κεφαλῇ καθιδρῦσθαι, τὸ δὲ θυμοειδὲς περὶ τῇ καρδίᾳ, τὸ δὲ ἐπιθυμητικὸν περὶ τὸν ὀμφαλὸν καὶ τὸ ἧπαρ συνίστασθαι.
His accepted doctrines were the following. He used to say that the soul is immortal and clothes itself in many bodies, and that it has an arithmetical principle, whereas the body has a geometrical one; and he defined it as the idea of the spirit that is extended everywhere. He also held that it is self-moving and tripartite: for its rational part is settled around the head, the spirited part around the heart, and the appetitive part is situated around the navel and the liver.
Περιέχειν δὲ ἐκ τοῦ μέσου διὰ παντὸς κύκλῳ τὸ σῶμα καὶ συνεστάναι ἐκ τῶν στοιχείων. διαιρεθεῖσάν τε κατὰ ἁρμονικὰ διαστήματα δύο κύκλους ποιεῖν συνημμένους, ὧν τὸν ἐντὸς κύκλον ἑξαχῆ τμηθέντα τοὺς ἅπαντας ἑπτὰ κύκλους ποιεῖν. καὶ τοῦτον μὲν κατὰ διάμετρον κ〈ιν〉εῖσθαι ἐπʼ ἀριστερὰ ἔσωθεν, τὸν δὲ κατὰ πλευρὰν1 ἐπὶ τὰ δεξιά. διὸ καὶ κρατεῖν αὐτὸν ἕνα ὄντα· τὸν γὰρ ἕτερον ἔσωθεν διῃρῆσθαι. καὶ τὸν μὲν εἶναι ταὐτοῦ, τοὺς δὲ θατέρου, λέγων τὴν τῆς ψυχῆς κίνησιν εἶναι τὴν [δὲ] τοῦ ὅλου καὶ τὰς τῶν πλανωμένων φοράς.
He held that the soul encompasses the body circularly from the center through the whole, and that it is composed of the elements. Having been divided according to harmonic intervals, it forms two joined circles, of which the interior circle, having been cut in six places, forms in all seven circles. And this inner circle moves obliquely to the left on the inside, while the outer one moves along the side to the right. Wherefore also the outer circle, being one, dominates; for the other is divided on the inside. And the one is the circle of the Same, while the others are those of the Different, Plato saying that the motion of the soul is the motion of the universe and the orbits of the planets.
Οὕτω δʼ ἐχούσης τῆς ἐκ μέσου τομῆς αὐτῇ προσαρμοζομένης πρὸς τὰ ἔσχατα2 γινώσκειν τε τὰ ὄντα καὶ ἐναρμόζειν διὰ τὸ ἔχειν ἐν αὑτῇ τὰ στοιχεῖα κατὰ ἁρμονίαν. καὶ γίνεσθαι δόξαν μὲν κατὰ τὸν θατέρου κύκλον ὀρθούμενον, ἐπιστήμην δὲ κατὰ τὸν ταὐτοῦ. δύο δὲ τῶν πάντων ἀπέφηνεν ἀρχάς, θεὸν καὶ ὕλην, ὃν καὶ νοῦν προσαγορεύει καὶ αἴτιον. εἶναι δὲ τὴν ὕλην ἀσχημάτιστον καὶ ἄπειρον, ἐξ ἧς γίνεσθαι τὰ συγκρίματα. ἀτάκτως δέ ποτε αὐτὴν κινουμένην ὑπὸ τοῦ θεοῦ φησιν εἰς ἕνα συναχθῆναι τόπον τάξιν ἀταξίας κρείττονα ἡγησαμένου.
Since the division from the center is disposed in this way, being fitted to itself at the extremities, the soul both knows existing things and harmonizes them because of its having within itself the elements according to harmony. And opinion comes to be according to the circle of the Different when rightly directed, but knowledge according to that of the Same. He posited two principles of all things, God and matter, God being also called by him intellect and cause. And matter is formless and indefinite, from which compound bodies come to be. Once moving disorderedly, it was gathered into one place by God, who judged order to be better than disorder.
τραπέσθαι δὲ τὴν οὐσίαν ταύτην εἰς τὰ τέτταρα στοιχεῖα, πῦρ, ὕδωρ, ἀέρα, γῆν· ἐξ ὧν αὐτόν τε τὸν κόσμον καὶ τὰ ἐν αὐτῷ γεννᾶσθαι. μόνην δὲ τὴν γῆν ἀμετάβολον εἶναί φησι, νομίζων αἰτίαν τὴν τῶν σχημάτων διαφορὰν ἐξ ὧν σύγκειται. τῶν μὲν γὰρ ἄλλων ὁμογενῆ φησιν εἶναι τὰ σχήματα — ἅπαντα γὰρ ἐξ ἑνὸς συγκεῖσθαι τοῦ προμήκους τριγώνου3 — τῆς δὲ γῆς ἴδιον εἶναι τὸ σχῆμα· πυρὸς μὲν γὰρ εἶναι στοιχεῖον πυραμίδα, ἀέρος τὸ ὀκτάεδρον, ὕδατος τὸ εἰκοσάεδρον, γῆς δὲ κύβον. ὅθεν μήτε γῆν εἰς ταῦτα μεταβάλλειν, μήτε ταῦτα εἰς γῆν.
This substance was turned into the four elements: fire, water, air, and earth; from which both the cosmos itself and the things within it are generated. He says that earth alone is immutable, considering the difference in the shapes of which it is composed to be the cause. For he says that the shapes of the others are homogeneous—since all are composed of a single scalene triangle—whereas the shape of earth is peculiar: for the element of fire is the pyramid, of air the octahedron, of water the icosahedron, and of earth the cube. Whence earth neither transforms into these, nor these into earth.
Οὐ διακεκρίσθαι δʼ εἰς τοὺς οἰκείους τόπους ἕκαστον, ὅτι ἡ περιφορὰ σφίγγουσα καὶ πρὸς τὸν μέσον συνάγουσα συγκρίνει τὰ μικρά, τὰ δὲ διακρίνει, τὰ μεγάλα. διόπερ τὰ εἴδη μεταβάλλοντα καὶ τοὺς τόπους μεταβάλλειν. Κόσμον τε εἶναι ἕνα γεννητόν, ἐπειδὴ καὶ αἰσθητός ἐστιν ὑπὸ θεοῦ κατεσκευασμένος· ἔμψυχόν τε εἶναι διὰ τὸ κρεῖττον εἶναι τοῦ ἀψύχου τὸ ἔμψυχον, τοῦτο δὲ δημιούργημα ὑποκεῖσθαι τοῦ βελτίστου αἰτίου. ἕνα τε αὐτὸν καὶ οὐκ ἄπειρον κατεσκευάσθαι, ὅτι καὶ τὸ ὑπόδειγμα ἓν ἦν ἀφʼ οὗ αὐτὸν ἐδημιούργησε· σφαιροειδῆ δὲ διὰ τὸ καὶ τὸν γεννήσαντα τοιοῦτον ἔχειν σχῆμα.
The elements are not separated into their own distinct regions, because the circular revolution, by compressing and drawing them together toward the center, combines the small parts and separates the large ones. Therefore, changing their forms, they also change their locations. The cosmos is one and generated, since it is also sensible and constructed by God; and it is ensouled because the ensouled is superior to the soulless, and this work is subject to the best cause. It was constructed as one and not indefinite, because the paradigm after which he fashioned it was also one; and it is spherical because the one that generated it also has such a form.
ἐκεῖνον μὲν γὰρ περιέχειν τὰ ἄλλα ζῷα, τοῦτον δὲ τὰ σχήματα πάντων4. λεῖον δὲ καὶ οὐδὲν ὄργανον ἔχοντα κύκλῳ διὰ τὸ μηδεμίαν εἶναι χρῆσιν αὐτῶν. ἀλλὰ μὴν καὶ ἄφθαρτον διαμένειν τὸν κόσμον διὰ τὸ μὴ διαλύεσθαι εἰς τὸν θεόν. καὶ τῆς μὲν ὅλης γενέσεως αἴτιον εἶναι τὸν θεόν, ὅτι πέφυκεν ἀγαθοποιὸν εἶναι τὸ ἀγαθόν. τοῦ δὲ οὐρανοῦ τῆς γενέσεως τὸ † αἴτιον· τοῦ γὰρ καλλίστου τῶν γεννητῶν τὸ ἄριστον εἶναι τῶν νοητῶν αἴτιον. ὥστε ἐπεὶ τοιοῦτος ὁ θεός, ὅμοιος δὲ τῷ ἀρίστῳ ὁ οὐρανὸς κάλλιστός γε ὤν, οὐθενὶ ἂν ὅμοιος εἴη τῶν γεννητῶν ἀλλʼ ἢ τῷ θεῷ.
For the latter contains the other living beings, while the former contains the shapes of all things. It is smooth and has no organs around it because there is no use for them. Moreover, the cosmos remains imperishable because it is not dissolved back into God. And God is the cause of all generation, because the good is by nature beneficent. And he is the cause of the generation of the heaven; for of the fairest among generated things, the best among intelligible things is the cause. So that, since God is of such a nature, and the heaven, being the fairest, is like the best, it would be like none of the generated things, but only like God.
- 3.1.68κατὰ διάμετρον ... κατὰ πλευρὰν
Astronomical and celestial geometric contrast based on Plato's *Timaeus* 36c. κατὰ διάμετρον denotes diagonal motion along the ecliptic, whereas κατὰ πλευράν denotes motion along the side, i.e., the celestial equator (the uniform diurnal rotation of the fixed stars).
- 3.1.69Οὕτω δʼ ἐχούσης τῆς ἐκ μέσου τομῆς αὐτῇ προσαρμοζομένης πρὸς τὰ ἔσχατα
Genitive absolute construction. τῆς ἐκ μέσου τομῆς is the subject, with which the participle προσαρμοζομένης agrees. αὐτῇ functions reflexively ('to itself'), referring to the soul-strip bending round to rejoin itself at the extremities as described in *Timaeus* 36c.
- 3.1.70τοῦ προμήκους τριγώνου
Refers to the scalene right-angled triangle described in *Timaeus* 53d–54b, which forms the faces of the pyramid, octahedron, and icosahedron (half-equilateral triangle derived by bisecting an oblong rectangle diagonally). In contrast, earth's faces are made of isosceles right triangles (halves of a square), preventing transmutation between earth and the other three elements.
- 3.1.72ἐκεῖνον μὲν γὰρ περιέχειν τὰ ἄλλα ζῷα, τοῦτον δὲ τὰ σχήματα πάντων
Pronoun antithesis: ἐκεῖνον refers back to the intelligible model / generator mentioned at the end of §71 (the Intelligible Living Being), whereas τοῦτον refers to the visible cosmos. The model encompasses all other living beings (intelligibly), while the cosmos physically encompasses the shapes of all things.
