Plato · Republic Πολιτεία

Plato, Republic 509a–511e: Book VI: The good beyond being; the divided line

Socrates says that the good gives to the objects of knowledge not only their being known but their being and essence, although it is not essence but beyond essence in dignity and power, at which Glaucon cries out that hyperbole can go no further. He asks Glaucon to take a line divided into two unequal parts, representing the visible and the intelligible, and each part again cut in the same ratio. In the visible part the first section is images, shadows and reflections, and the second is the things that they resemble, animals, plants and manufactured things. In the intelligible part the soul, using the lower section's objects as images and proceeding from assumptions, works as the geometers do, while in the higher section it goes up to a first principle without assumptions and uses only forms.

Sections 509a–511e · 1363 words · click a number to copy its link

ἐπιστήμην δὲ καὶ ἀλήθειαν, ὥσπερ ἐκεῖ φῶς τε καὶ ὄψιν ἡλιοειδῆ μὲν νομίζειν ὀρθόν, ἥλιον δʼ ἡγεῖσθαι οὐκ ὀρθῶς ἔχει, οὕτω καὶ ἐνταῦθα ἀγαθοειδῆ μὲν νομίζειν ταῦτʼ ἀμφότερα ὀρθόν, ἀγαθὸν δὲ ἡγεῖσθαι ὁπότερον αὐτῶν οὐκ ὀρθόν, ἀλλʼ ἔτι μειζόνως τιμητέον τὴν τοῦ ἀγαθοῦ ἕξιν. ἀμήχανον κάλλος, ἔφη, λέγεις, εἰ ἐπιστήμην μὲν καὶ ἀλήθειαν παρέχει, αὐτὸ δʼ ὑπὲρ ταῦτα κάλλει ἐστίν· οὐ γὰρ δήπου σύ γε ἡδονὴν αὐτὸ λέγεις. εὐφήμει, ἦν δʼ ἐγώ· ἀλλʼ ὧδε μᾶλλον τὴν εἰκόνα αὐτοῦ ἔτι ἐπισκόπει. πῶς; τὸν ἥλιον τοῖς ὁρωμένοις οὐ μόνον οἶμαι τὴν τοῦ ὁρᾶσθαι δύναμιν παρέχειν φήσεις, ἀλλὰ καὶ τὴν γένεσιν καὶ αὔξην καὶ τροφήν, οὐ γένεσιν αὐτὸν ὄντα. πῶς γάρ; καὶ τοῖς γιγνωσκομένοις τοίνυν μὴ μόνον τὸ γιγνώσκεσθαι φάναι ὑπὸ τοῦ ἀγαθοῦ παρεῖναι, ἀλλὰ καὶ τὸ εἶναί τε καὶ τὴν οὐσίαν ὑπʼ ἐκείνου αὐτοῖς προσεῖναι, οὐκ οὐσίας ὄντος τοῦ ἀγαθοῦ, ἀλλʼ ἔτι ἐπέκεινα τῆς οὐσίας πρεσβείᾳ καὶ δυνάμει ὑπερέχοντος. καὶ ὁ Γλαύκων μάλα γελοίως, Ἄπολλον, ἔφη, δαιμονίας ὑπερβολῆς. σὺ γάρ, ἦν δʼ ἐγώ, αἴτιος, ἀναγκάζων τὰ ἐμοὶ δοκοῦντα περὶ αὐτοῦ λέγειν. καὶ μηδαμῶς γʼ, ἔφη, παύσῃ, εἰ μή τι, ἀλλὰ τὴν περὶ τὸν ἥλιον ὁμοιότητα αὖ διεξιών, εἴ πῃ ἀπολείπεις. ἀλλὰ μήν, εἶπον, συχνά γε ἀπολείπω. μηδὲ σμικρὸν τοίνυν, ἔφη, παραλίπῃς. οἶμαι μέν, ἦν δʼ ἐγώ, καὶ πολύ· ὅμως δέ, ὅσα γʼ ἐν τῷ παρόντι δυνατόν, ἑκὼν οὐκ ἀπολείψω. μὴ γάρ, ἔφη. νόησον τοίνυν, ἦν δʼ ἐγώ, ὥσπερ λέγομεν, δύο αὐτὼ εἶναι, καὶ βασιλεύειν τὸ μὲν νοητοῦ γένους τε καὶ τόπου, τὸ δʼ αὖ ὁρατοῦ, ἵνα μὴ οὐρανοῦ εἰπὼν δόξω σοι σοφίζεσθαι περὶ τὸ ὄνομα. ἀλλʼ οὖν ἔχεις ταῦτα διττὰ εἴδη, ὁρατόν, νοητόν; ἔχω. ὥσπερ τοίνυν γραμμὴν δίχα τετμημένην λαβὼν ἄνισα τμήματα, πάλιν τέμνε ἑκάτερον τὸ τμῆμα ἀνὰ τὸν αὐτὸν λόγον, τό τε τοῦ ὁρωμένου γένους καὶ τὸ τοῦ νοουμένου, καί σοι ἔσται σαφηνείᾳ καὶ ἀσαφείᾳ πρὸς ἄλληλα ἐν μὲν τῷ ὁρωμένῳ τὸ μὲν ἕτερον τμῆμα εἰκόνες—

“But as for knowledge and truth, even as in our illustration it is right to deem light and vision sunlike, but never to think that they are the sun, so here it is right to consider these two their counterparts, as being like the good or boniform, but to think that either of them is the good is not right. Still higher honor belongs to the possession and habit of the good.” “An inconceivable beauty you speak of,” he said, “if it is the source of knowledge and truth, and yet itself surpasses them in beauty. For you surely cannot mean that it is pleasure.” “Hush,” said I, “but examine the similitude of it still further in this way.” “How?” “The sun, I presume you will say, not only furnishes to visibles the power of visibility but it also provides for their generation and growth and nurture though it is not itself generation.” “Of course not.” “In like manner, then, you are to say that the objects of knowledge not only receive from the presence of the good their being known, but their very existence and essence is derived to them from it, though the good itself is not essence but still transcends essence in dignity and surpassing power.” And Glaucon very ludicrously said, “Heaven save us, hyperbole can no further go.” “The fault is yours,” I said, “for compelling me to utter my thoughts about it.” “And don’t desist,” he said, “but at least expound the similitude of the sun, if there is anything that you are omitting.” “Why, certainly,” I said, “I am omitting a great deal.” “Well, don’t omit the least bit,” he said. “I fancy,” I said, “that I shall have to pass over much, but nevertheless so far as it is at present practicable I shall not willingly leave anything out.” “Do not,” he said. “Conceive then,” said I, “as we were saying, that there are these two entities, and that one of them is sovereign over the intelligible order and region and the other over the world of the eye-ball, not to say the sky-ball, but let that pass. You surely apprehend the two types, the visible and the intelligible.” “I do.” “Represent them then, as it were, by a line divided into two unequal sections and cut each section again in the same ratio (the section, that is, of the visible and that of the intelligible order), and then as an expression of the ratio of their comparative clearness and obscurity you will have, as one of the sections of the visible world, images.”

λέγω δὲ τὰς εἰκόνας πρῶτον μὲν τὰς σκιάς, ἔπειτα τὰ ἐν τοῖς ὕδασι φαντάσματα καὶ ἐν τοῖς ὅσα πυκνά τε καὶ λεῖα καὶ φανὰ συνέστηκεν, καὶ πᾶν τὸ τοιοῦτον, εἰ κατανοεῖς. ἀλλὰ κατανοῶ. τὸ τοίνυν ἕτερον τίθει ᾧ τοῦτο ἔοικεν, τά τε περὶ ἡμᾶς ζῷα καὶ πᾶν τὸ φυτευτὸν καὶ τὸ σκευαστὸν ὅλον γένος. τίθημι, ἔφη. ἦ καὶ ἐθέλοις ἂν αὐτὸ φάναι, ἦν δʼ ἐγώ, διῃρῆσθαι ἀληθείᾳ τε καὶ μή, ὡς τὸ δοξαστὸν πρὸς τὸ γνωστόν, οὕτω τὸ ὁμοιωθὲν πρὸς τὸ ᾧ ὡμοιώθη; ἔγωγʼ, ἔφη, καὶ μάλα. σκόπει δὴ αὖ καὶ τὴν τοῦ νοητοῦ τομὴν ᾗ τμητέον. πῇ; ἧι τὸ μὲν αὐτοῦ τοῖς τότε μιμηθεῖσιν ὡς εἰκόσιν χρωμένη ψυχὴ ζητεῖν ἀναγκάζεται ἐξ ὑποθέσεων, οὐκ ἐπʼ ἀρχὴν πορευομένη ἀλλʼ ἐπὶ τελευτήν, τὸ δʼ αὖ ἕτερον—τὸ ἐπʼ ἀρχὴν ἀνυπόθετον—ἐξ ὑποθέσεως ἰοῦσα καὶ ἄνευ τῶν περὶ ἐκεῖνο εἰκόνων, αὐτοῖς εἴδεσι διʼ αὐτῶν τὴν μέθοδον ποιουμένη. ταῦτʼ, ἔφη, ἃ λέγεις, οὐχ ἱκανῶς ἔμαθον. ἀλλʼ αὖθις, ἦν δʼ ἐγώ· ῥᾷον γὰρ τούτων προειρημένων μαθήσῃ. οἶμαι γάρ σε εἰδέναι ὅτι οἱ περὶ τὰς γεωμετρίας τε καὶ λογισμοὺς καὶ τὰ τοιαῦτα πραγματευόμενοι, ὑποθέμενοι τό τε περιττὸν καὶ τὸ ἄρτιον καὶ τὰ σχήματα καὶ γωνιῶν τριττὰ εἴδη καὶ ἄλλα τούτων ἀδελφὰ καθʼ ἑκάστην μέθοδον, ταῦτα μὲν ὡς εἰδότες, ποιησάμενοι ὑποθέσεις αὐτά, οὐδένα λόγον οὔτε αὑτοῖς οὔτε ἄλλοις ἔτι ἀξιοῦσι περὶ αὐτῶν διδόναι ὡς παντὶ φανερῶν, ἐκ τούτων δʼ ἀρχόμενοι τὰ λοιπὰ ἤδη διεξιόντες τελευτῶσιν ὁμολογουμένως ἐπὶ τοῦτο οὗ ἂν ἐπὶ σκέψιν ὁρμήσωσι. πάνυ μὲν οὖν, ἔφη, τοῦτό γε οἶδα. οὐκοῦν καὶ ὅτι τοῖς ὁρωμένοις εἴδεσι προσχρῶνται καὶ τοὺς λόγους περὶ αὐτῶν ποιοῦνται, οὐ περὶ τούτων διανοούμενοι, ἀλλʼ ἐκείνων πέρι οἷς ταῦτα ἔοικε, τοῦ τετραγώνου αὐτοῦ ἕνεκα τοὺς λόγους ποιούμενοι καὶ διαμέτρου αὐτῆς, ἀλλʼ οὐ ταύτης ἣν γράφουσιν, καὶ τἆλλα οὕτως, αὐτὰ μὲν ταῦτα ἃ πλάττουσίν τε καὶ γράφουσιν, ὧν καὶ σκιαὶ καὶ ἐν ὕδασιν εἰκόνες εἰσίν, τούτοις μὲν ὡς εἰκόσιν αὖ χρώμενοι, ζητοῦντες δὲ αὐτὰ ἐκεῖνα ἰδεῖν ἃ οὐκ ἂν ἄλλως ἴδοι τις ἢ τῇ διανοίᾳ.

“By images I mean, first, shadows, and then reflections in water and on surfaces of dense, smooth and bright texture, and everything of that kind, if you apprehend.” “I do.” “As the second section assume that of which this is a likeness or an image, that is, the animals about us and all plants and the whole class of objects made by man.” “I so assume it,” he said. “Would you be willing to say,” said I, “that the division in respect of reality and truth or the opposite is expressed by the proportion: as is the opinable to the knowable so is the likeness to that of which it is a likeness?” “I certainly would.” “Consider then again the way in which we are to make the division of the intelligible section.” “In what way?” “By the distinction that there is one section of it which the soul is compelled to investigate by treating as images the things imitated in the former division, and by means of assumptions from which it proceeds not up to a first principle but down to a conclusion, while there is another section in which it advances from its assumption to a beginning or principle that transcends assumption, and in which it makes no use of the images employed by the other section, relying on ideas only and progressing systematically through ideas.” “I don’t fully understand what you mean by this,” he said. “Well, I will try again,” said I, “for you will better understand after this preamble. For I think you are aware that students of geometry and reckoning and such subjects first postulate the odd and the even and the various figures and three kinds of angles and other things akin to these in each branch of science, regard them as known, and, treating them as absolute assumptions, do not deign to render any further account of them to themselves or others, taking it for granted that they are obvious to everybody. They take their start from these, and pursuing the inquiry from this point on consistently, conclude with that for the investigation of which they set out.” “Certainly,” he said, “I know that.” “And do you not also know that they further make use of the visible forms and talk about them, though they are not thinking of them but of those things of which they are a likeness, pursuing their inquiry for the sake of the square as such and the diagonal as such, and not for the sake of the image of it which they draw? And so in all cases. The very things which they mould and draw, which have shadows and images of themselves in water, these things they treat in their turn as only images, but what they really seek is to get sight of those realities which can be seen only by the mind.”

ἀληθῆ, ἔφη, λέγεις. τοῦτο τοίνυν νοητὸν μὲν τὸ εἶδος ἔλεγον, ὑποθέσεσι δʼ ἀναγκαζομένην ψυχὴν χρῆσθαι περὶ τὴν ζήτησιν αὐτοῦ, οὐκ ἐπʼ ἀρχὴν ἰοῦσαν, ὡς οὐ δυναμένην τῶν ὑποθέσεων ἀνωτέρω ἐκβαίνειν, εἰκόσι δὲ χρωμένην αὐτοῖς τοῖς ὑπὸ τῶν κάτω ἀπεικασθεῖσιν καὶ ἐκείνοις πρὸς ἐκεῖνα ὡς ἐναργέσι δεδοξασμένοις τε καὶ τετιμημένοις. μανθάνω, ἔφη, ὅτι τὸ ὑπὸ ταῖς γεωμετρίαις τε καὶ ταῖς ταύτης ἀδελφαῖς τέχναις λέγεις. τὸ τοίνυν ἕτερον μάνθανε τμῆμα τοῦ νοητοῦ λέγοντά με τοῦτο οὗ αὐτὸς ὁ λόγος ἅπτεται τῇ τοῦ διαλέγεσθαι δυνάμει, τὰς ὑποθέσεις ποιούμενος οὐκ ἀρχὰς ἀλλὰ τῷ ὄντι ὑποθέσεις, οἷον ἐπιβάσεις τε καὶ ὁρμάς, ἵνα μέχρι τοῦ ἀνυποθέτου ἐπὶ τὴν τοῦ παντὸς ἀρχὴν ἰών, ἁψάμενος αὐτῆς, πάλιν αὖ ἐχόμενος τῶν ἐκείνης ἐχομένων, οὕτως ἐπὶ τελευτὴν καταβαίνῃ, αἰσθητῷ παντάπασιν οὐδενὶ προσχρώμενος, ἀλλʼ εἴδεσιν αὐτοῖς διʼ αὐτῶν εἰς αὐτά, καὶ τελευτᾷ εἰς εἴδη. μανθάνω, ἔφη, ἱκανῶς μὲν οὔ—δοκεῖς γάρ μοι συχνὸν ἔργον λέγειν—ὅτι μέντοι βούλει διορίζειν σαφέστερον εἶναι τὸ ὑπὸ τῆς τοῦ διαλέγεσθαι ἐπιστήμης τοῦ ὄντος τε καὶ νοητοῦ θεωρούμενον ἢ τὸ ὑπὸ τῶν τεχνῶν καλουμένων, αἷς αἱ ὑποθέσεις ἀρχαὶ καὶ διανοίᾳ μὲν ἀναγκάζονται ἀλλὰ μὴ αἰσθήσεσιν αὐτὰ θεᾶσθαι οἱ θεώμενοι, διὰ δὲ τὸ μὴ ἐπʼ ἀρχὴν ἀνελθόντες σκοπεῖν ἀλλʼ ἐξ ὑποθέσεων, νοῦν οὐκ ἴσχειν περὶ αὐτὰ δοκοῦσί σοι, καίτοι νοητῶν ὄντων μετὰ ἀρχῆς. διάνοιαν δὲ καλεῖν μοι δοκεῖς τὴν τῶν γεωμετρικῶν τε καὶ τὴν τῶν τοιούτων ἕξιν ἀλλʼ οὐ νοῦν, ὡς μεταξύ τι δόξης τε καὶ νοῦ τὴν διάνοιαν οὖσαν. ἱκανώτατα, ἦν δʼ ἐγώ, ἀπεδέξω. καί μοι ἐπὶ τοῖς τέτταρσι τμήμασι τέτταρα ταῦτα παθήματα ἐν τῇ ψυχῇ γιγνόμενα λαβέ, νόησιν μὲν ἐπὶ τῷ ἀνωτάτω, διάνοιαν δὲ ἐπὶ τῷ δευτέρῳ, τῷ τρίτῳ δὲ πίστιν ἀπόδος καὶ τῷ τελευταίῳ εἰκασίαν, καὶ τάξον αὐτὰ ἀνὰ λόγον, ὥσπερ ἐφʼ οἷς ἐστιν ἀληθείας μετέχει, οὕτω ταῦτα σαφηνείας ἡγησάμενος μετέχειν. μανθάνω, ἔφη, καὶ συγχωρῶ καὶ τάττω ὡς λέγεις.

“True,” he said. “This then is the class that I described as intelligible, it is true, but with the reservation first that the soul is compelled to employ assumptions in the investigation of it, not proceeding to a first principle because of its inability to extricate itself from and rise above its assumptions, and second, that it uses as images or likenesses the very objects that are themselves copied and adumbrated by the class below them, and that in comparison with these latter are esteemed as clear and held in honor.” “I understand,” said he, “that you are speaking of what falls under geometry and the kindred arts.” “Understand then,” said I, “that by the other section of the intelligible I mean that which the reason itself lays hold of by the power of dialectics, treating its assumptions not as absolute beginnings but literally as hypotheses, underpinnings, footings, and springboards so to speak, to enable it to rise to that which requires no assumption and is the starting-point of all, and after attaining to that again taking hold of the first dependencies from it, so to proceed downward to the conclusion, making no use whatever of any object of sense but only of pure ideas moving on through ideas to ideas and ending with ideas.” “I understand,” he said; “not fully, for it is no slight task that you appear to have in mind, but I do understand that you mean to distinguish the aspect of reality and the intelligible, which is contemplated by the power of dialectic, as something truer and more exact than the object of the so-called arts and sciences whose assumptions are arbitrary starting-points. And though it is true that those who contemplate them are compelled to use their understanding and not their senses, yet because they do not go back to the beginning in the study of them but start from assumptions you do not think they possess true intelligence about them although the things themselves are intelligibles when apprehended in conjunction with a first principle. And I think you call the mental habit of geometers and their like mind or understanding and not reason because you regard understanding as something intermediate between opinion and reason.” “Your interpretation is quite sufficient,” I said; “and now, answering to these four sections, assume these four affections occurring in the soul: intellection or reason for the highest, understanding for the second; assign belief to the third, and to the last picture-thinking or conjecture, and arrange them in a proportion, considering that they participate in clearness and precision in the same degree as their objects partake of truth and reality.” “I understand,” he said; “I concur and arrange them as you bid.”

English translation by Paul Shorey (1930). Original text: Paul Shorey (trans.), Plato: The Republic, Loeb Classical Library, vol. 1 (Books I-V), 1930, and vol. 2 (Books VI-X), 1935, Cambridge, MA: Harvard University Press; London: William Heinemann; Greek text: John Burnet, Platonis Opera, Oxford Classical Texts (as digitised by Perseus).

Greek text and translation from the Perseus Digital Library, Tufts University, CC BY-SA 4.0 (Perseus Digital Library); translation public domain. Introductions, summaries and notes © GreekMythology.com.