Plato · Theaetetus Θεαίτητος

Plato, Theaetetus 148a–150e: Theaetetus' roots; Socrates the midwife

Theaetetus tells how he and the younger Socrates divided numbers into the square numbers and the oblong ones, and named the lines that make squares of oblong numbers powers or roots. Socrates then says that Theaetetus is in labour with a thought, and that he himself is a midwife, the son of the midwife Phaenarete. He explains that midwives are past child-bearing, as Artemis, who is childless, assigned the office to them, and that his art is to deliver men's minds and to test whether the offspring is real or a phantom. He is barren of wisdom himself, and has been blamed by many for always asking questions and never answering.

Sections 148a–150e · 1455 words · click a number to copy its link

ΘΕΑΙ. τὸν τοίνυν μεταξὺ τούτου, ὧν καὶ τὰ τρία καὶ τὰ πέντε καὶ πᾶς ὃς ἀδύνατος ἴσος ἰσάκις γενέσθαι, ἀλλʼ ἢ πλείων ἐλαττονάκις ἢ ἐλάττων πλεονάκις γίγνεται, μείζων δὲ καὶ ἐλάττων ἀεὶ πλευρὰ αὐτὸν περιλαμβάνει, τῷ προμήκει αὖ σχήματι ἀπεικάσαντες προμήκη ἀριθμὸν ἐκαλέσαμεν.

ΣΩ. κάλλιστα. ἀλλὰ τί τὸ μετὰ τοῦτο;

ΘΕΑΙ. ὅσαι μὲν γραμμαὶ τὸν ἰσόπλευρον καὶ ἐπίπεδον ἀριθμὸν τετραγωνίζουσι, μῆκος ὡρισάμεθα, ὅσαι δὲ τὸν ἑτερομήκη, δυνάμεις, ὡς μήκει μὲν οὐ συμμέτρους ἐκείναις, τοῖς δʼ ἐπιπέδοις ἃ δύνανται. καὶ περὶ τὰ στερεὰ ἄλλο τοιοῦτον.

ΣΩ. ἄριστά γʼ ἀνθρώπων, ὦ παῖδες· ὥστε μοι δοκεῖ ὁ Θεόδωρος οὐκ ἔνοχος τοῖς ψευδομαρτυρίοις ἔσεσθαι.

ΘΕΑΙ. καὶ μήν, ὦ Σώκρατες, ὅ γε ἐρωτᾷς περὶ ἐπιστήμης οὐκ ἂν δυναίμην ἀποκρίνασθαι ὥσπερ περὶ τοῦ μήκους τε καὶ τῆς δυνάμεως. καίτοι σύ γέ μοι δοκεῖς τοιοῦτόν τι ζητεῖν· ὥστε πάλιν αὖ φαίνεται ψευδὴς ὁ Θεόδωρος.

ΣΩ. τί δέ; εἴ σε πρὸς δρόμον ἐπαινῶν μηδενὶ οὕτω δρομικῷ ἔφη τῶν νέων ἐντετυχηκέναι, εἶτα διαθέων τοῦ ἀκμάζοντος καὶ ταχίστου ἡττήθης, ἧττόν τι ἂν οἴει ἀληθῆ τόνδʼ ἐπαινέσαι;

ΘΕΑΙ. οὐκ ἔγωγε.

ΣΩ. ἀλλὰ τὴν ἐπιστήμην, ὥσπερ νυνδὴ ἐγὼ ἔλεγον, σμικρόν τι οἴει εἶναι ἐξευρεῖν καὶ οὐ τῶν πάντῃ ἄκρων;

ΘΕΑΙ. νὴ τὸν Δίʼ ἔγωγε καὶ μάλα γε τῶν ἀκροτάτων.

ΣΩ. θάρρει τοίνυν περὶ σαυτῷ καὶ τὶ οἴου Θεόδωρον λέγειν, προθυμήθητι δὲ παντὶ τρόπῳ τῶν τε ἄλλων πέρι καὶ ἐπιστήμης λαβεῖν λόγον τί ποτε τυγχάνει ὄν.

ΘΕΑΙ. προθυμίας μὲν ἕνεκα, ὦ Σώκρατες, φανεῖται.

ΣΩ. ἴθι δή—καλῶς γὰρ ἄρτι ὑφηγήσω—πειρῶ μιμούμενος τὴν περὶ τῶν δυνάμεων ἀπόκρισιν, ὥσπερ ταύτας πολλὰς οὔσας ἑνὶ εἴδει περιέλαβες, οὕτω καὶ τὰς πολλὰς ἐπιστήμας ἑνὶ λόγῳ προσειπεῖν.

ΘΕΑΙ. ἀλλʼ εὖ ἴσθι, ὦ Σώκρατες, πολλάκις δὴ αὐτὸ ἐπεχείρησα σκέψασθαι, ἀκούων τὰς παρὰ σοῦ ἀποφερομένας ἐρωτήσεις. ἀλλὰ γὰρ οὔτʼ αὐτὸς δύναμαι πεῖσαι ἐμαυτὸν ὡς ἱκανῶς τι λέγω οὔτʼ ἄλλου ἀκοῦσαι λέγοντος οὕτως ὡς σὺ διακελεύῃ, οὐ μὲν δὴ αὖ οὐδʼ ἀπαλλαγῆναι τοῦ μέλειν.

ΣΩ. ὠδίνεις γάρ, ὦ φίλε Θεαίτητε, διὰ τὸ μὴ κενὸς ἀλλʼ ἐγκύμων εἶναι.

ΘΕΑΙ. οὐκ οἶδα, ὦ Σώκρατες· ὃ μέντοι πέπονθα λέγω.

THEAET. The numbers between these, such as three and five and all numbers which cannot be formed by multiplying equal factors, but only by multiplying a greater by a less or a less by a greater, and are therefore always contained in unequal sides, we represented by the shape of the oblong rectangle and called oblong numbers.

SOC. Very good; and what next?

THEAET. All the lines which form the four sides of the equilateral or square numbers we called lengths, and those which form the oblong numbers we called surds, because they are not commensurable with the others in length, but only in the areas of the planes which they have the power to form. And similarly in the case of solids.

SOC. Most excellent, my boys! I think Theodorus will not be found liable to an action for false witness.

THEAET. But really, Socrates, I cannot answer that question of yours about knowledge, as we answered the question about length and square roots. And yet you seem to me to want something of that kind. So Theodorus appears to be a false witness after all.

SOC. Nonsense! If he were praising your running and said he had never met any young man who was so good a runner, and then you were beaten in a race by a full grown man who held the record, do you think his praise would be any less truthful?

THEAET. Why, no.

SOC. And do you think that the discovery of knowledge, as I was just now saying, is a small matter and not a task for the very ablest men?

THEAET. By Zeus, I think it is a task for the very ablest.

SOC. Then you must have confidence in yourself, and believe that Theodorus is right, and try earnestly in every way to gain an understanding of the nature of knowledge as well as of other things.

THEAET. If it is a question of earnestness, Socrates, the truth will come to light.

SOC. Well then—for you pointed out the way admirably just now—take your answer about the roots as a model, and just as you embraced them all in one class, though they were many, try to designate the many forms of knowledge by one definition.

THEAET. But I assure you, Socrates, I have often tried to work that out, when I heard reports of the questions that you asked, but I can neither persuade myself that I have any satisfactory answer, nor can I find anyone else who gives the kind of answer you insist upon; and yet, on the other hand, I cannot get rid of a feeling of concern about the matter.

SOC. Yes, you are suffering the pangs of labor, Theaetetus, because you are not empty, but pregnant.

THEAET. I do not know, Socrates; I merely tell you what I feel.

ΣΩ. εἶτα, ὦ καταγέλαστε, οὐκ ἀκήκοας ὡς ἐγώ εἰμι ὑὸς μαίας μάλα γενναίας τε καὶ βλοσυρᾶς, Φαιναρέτης;

ΘΕΑΙ. ἤδη τοῦτό γε ἤκουσα.

ΣΩ. ἆρα καὶ ὅτι ἐπιτηδεύω τὴν αὐτὴν τέχνην ἀκήκοας;

ΘΕΑΙ. οὐδαμῶς.

ΣΩ. ἀλλʼ εὖ ἴσθʼ ὅτι· μὴ μέντοι μου κατείπῃς πρὸς τοὺς ἄλλους. λέληθα γάρ, ὦ ἑταῖρε, ταύτην ἔχων τὴν τέχνην· οἱ δέ, ἅτε οὐκ εἰδότες, τοῦτο μὲν οὐ λέγουσι περὶ ἐμοῦ, ὅτι δὲ ἀτοπώτατός εἰμι καὶ ποιῶ τοὺς ἀνθρώπους ἀπορεῖν. ἦ καὶ τοῦτο ἀκήκοας;

ΘΕΑΙ. ἔγωγε.

ΣΩ. εἴπω οὖν σοι τὸ αἴτιον;

ΘΕΑΙ. πάνυ μὲν οὖν.

ΣΩ. ἐννόησον δὴ τὸ περὶ τὰς μαίας ἅπαν ὡς ἔχει, καὶ ῥᾷον μαθήσῃ ὃ βούλομαι. οἶσθα γάρ που ὡς οὐδεμία αὐτῶν ἔτι αὐτὴ κυϊσκομένη τε καὶ τίκτουσα ἄλλας μαιεύεται, ἀλλʼ αἱ ἤδη ἀδύνατοι τίκτειν.

ΘΕΑΙ. πάνυ μὲν οὖν.

ΣΩ. αἰτίαν δέ γε τούτου φασὶν εἶναι τὴν Ἄρτεμιν, ὅτι ἄλοχος οὖσα τὴν λοχείαν εἴληχε. στερίφαις μὲν οὖν ἄρα οὐκ ἔδωκε μαιεύεσθαι, ὅτι ἡ ἀνθρωπίνη φύσις ἀσθενεστέρα ἢ λαβεῖν τέχνην ὧν ἂν ᾖ ἄπειρος· ταῖς δὲ διʼ ἡλικίαν ἀτόκοις προσέταξε τιμῶσα τὴν αὑτῆς ὁμοιότητα.

ΘΕΑΙ. εἰκός.

ΣΩ. οὐκοῦν καὶ τόδε εἰκός τε καὶ ἀναγκαῖον, τὰς κυούσας καὶ μὴ γιγνώσκεσθαι μᾶλλον ὑπὸ τῶν μαιῶν ἢ τῶν ἄλλων;

ΘΕΑΙ. πάνυ γε.

ΣΩ. καὶ μὴν καὶ διδοῦσαί γε αἱ μαῖαι φαρμάκια καὶ ἐπᾴδουσαι δύνανται ἐγείρειν τε τὰς ὠδῖνας καὶ μαλθακωτέρας ἂν βούλωνται ποιεῖν, καὶ τίκτειν τε δὴ τὰς δυστοκούσας, καὶ ἐὰν νέον ὂν δόξῃ ἀμβλίσκειν, ἀμβλίσκουσιν;

ΘΕΑΙ. ἔστι ταῦτα.

ΣΩ. ἆρʼ οὖν ἔτι καὶ τόδε αὐτῶν ᾔσθησαι, ὅτι καὶ προμνήστριαί εἰσι δεινόταται, ὡς πάσσοφοι οὖσαι περὶ τοῦ γνῶναι ποίαν χρὴ ποίῳ ἀνδρὶ συνοῦσαν ὡς ἀρίστους παῖδας τίκτειν;

ΘΕΑΙ. οὐ πάνυ τοῦτο οἶδα.

ΣΩ. ἀλλʼ ἴσθʼ ὅτι ἐπὶ τούτῳ μεῖζον φρονοῦσιν ἢ ἐπὶ τῇ ὀμφαλητομίᾳ. ἐννόει γάρ· τῆς αὐτῆς ἢ ἄλλης οἴει τέχνης εἶναι θεραπείαν τε καὶ συγκομιδὴν τῶν ἐκ γῆς καρπῶν καὶ αὖ τὸ γιγνώσκειν εἰς ποίαν γῆν ποῖον φυτόν τε καὶ σπέρμα καταβλητέον;

ΘΕΑΙ. οὔκ, ἀλλὰ τῆς αὐτῆς.

ΣΩ. εἰς γυναῖκα δέ, ὦ φίλε, ἄλλην μὲν οἴει τοῦ τοιούτου, ἄλλην δὲ συγκομιδῆς;

ΘΕΑΙ. οὔκουν εἰκός γε.

SOC. Have you then not heard, you absurd boy, that I am the son of a noble and burly midwife, Phaenarete?

THEAET. Yes, I have heard that.

SOC. And have you also heard that I practise the same art?

THEAET. No, never.

SOC. But I assure you it is true; only do not tell on me to the others; for it is not known that I possess this art. But other people, since they do not know it, do not say this of me, but say that I am a most eccentric person and drive men to distraction. Have you heard that also?

THEAET. Yes, I have.

SOC. Shall I tell you the reason then?

THEAET. Oh yes, do.

SOC. Just take into consideration the whole business of the midwives, and you will understand more easily what I mean. For you know, I suppose, that no one of them attends other women while she is still capable of conceiving and bearing but only those do so who have become too old to bear.

THEAET. Yes, certainly.

SOC. They say the cause of this is Artemis, because she, a childless goddess, has had childbirth allotted to her as her special province. Now it would seem she did not allow barren women to be midwives, because human nature is too weak to acquire an art which deals with matters of which it has no experience, but she gave the office to those who on account of age were not bearing children, honoring them for their likeness to herself.

THEAET. Very likely.

SOC. Is it not, then, also likely and even necessary, that midwives should know better than anyone else who are pregnant and who are not?

THEAET. Certainly.

SOC. And furthermore, the midwives, by means of drugs and incantations, are able to arouse the pangs of labor and, if they wish, to make them milder, and to cause those to bear who have difficulty in bearing; and they cause miscarriages if they think them desirable.

THEAET. That is true.

SOC. Well, have you noticed this also about them, that they are the most skillful of matchmakers, since they are very wise in knowing what union of man and woman will produce the best possible children?

THEAET. I do not know that at all.

SOC. But be assured that they are prouder of this than of their skill in cutting the umbilical cord. Just consider. Do you think the knowledge of what soil is best for each plant or seed belongs to the same art as the tending and harvesting of the fruits of the earth, or to another?

THEAET. To the same art.

SOC. And in the case of a woman, do you think, my friend, that there is one art for the sowing and another for the harvesting?

THEAET. It is not likely.

ΣΩ. οὐ γάρ. ἀλλὰ διὰ τὴν ἄδικόν τε καὶ ἄτεχνον συναγωγὴν ἀνδρὸς καὶ γυναικός, ᾗ δὴ προαγωγία ὄνομα, φεύγουσι καὶ τὴν προμνηστικὴν ἅτε σεμναὶ οὖσαι αἱ μαῖαι, φοβούμεναι μὴ εἰς ἐκείνην τὴν αἰτίαν διὰ ταύτην ἐμπέσωσιν· ἐπεὶ ταῖς γε ὄντως μαίαις μόναις που προσήκει καὶ προμνήσασθαι ὀρθῶς.

ΘΕΑΙ. φαίνεται.

ΣΩ. τὸ μὲν τοίνυν τῶν μαιῶν τοσοῦτον, ἔλαττον δὲ τοῦ ἐμοῦ δράματος. οὐ γὰρ πρόσεστι γυναιξὶν ἐνίοτε μὲν εἴδωλα τίκτειν, ἔστι δʼ ὅτε ἀληθινά, τοῦτο δὲ μὴ ῥᾴδιον εἶναι διαγνῶναι. εἰ γὰρ προσῆν, μέγιστόν τε καὶ κάλλιστον ἔργον ἦν ἂν ταῖς μαίαις τὸ κρίνειν τὸ ἀληθές τε καὶ μή· ἢ οὐκ οἴει;

ΘΕΑΙ. ἔγωγε.

ΣΩ. τῇ δέ γʼ ἐμῇ τέχνῃ τῆς μαιεύσεως τὰ μὲν ἄλλα ὑπάρχει ὅσα ἐκείναις, διαφέρει δὲ τῷ τε ἄνδρας ἀλλὰ μὴ γυναῖκας μαιεύεσθαι καὶ τῷ τὰς ψυχὰς αὐτῶν τικτούσας ἐπισκοπεῖν ἀλλὰ μὴ τὰ σώματα. μέγιστον δὲ τοῦτʼ ἔνι τῇ ἡμετέρᾳ τέχνῃ, βασανίζειν δυνατὸν εἶναι παντὶ τρόπῳ πότερον εἴδωλον καὶ ψεῦδος ἀποτίκτει τοῦ νέου ἡ διάνοια ἢ γόνιμόν τε καὶ ἀληθές. ἐπεὶ τόδε γε καὶ ἐμοὶ ὑπάρχει ὅπερ ταῖς μαίαις· ἄγονός εἰμι σοφίας, καὶ ὅπερ ἤδη πολλοί μοι ὠνείδισαν, ὡς τοὺς μὲν ἄλλους ἐρωτῶ, αὐτὸς δὲ οὐδὲν ἀποφαίνομαι περὶ οὐδενὸς διὰ τὸ μηδὲν ἔχειν σοφόν, ἀληθὲς ὀνειδίζουσιν. τὸ δὲ αἴτιον τούτου τόδε· μαιεύεσθαί με ὁ θεὸς ἀναγκάζει, γεννᾶν δὲ ἀπεκώλυσεν. εἰμὶ δὴ οὖν αὐτὸς μὲν οὐ πάνυ τι σοφός, οὐδέ τί μοι ἔστιν εὕρημα τοιοῦτον γεγονὸς τῆς ἐμῆς ψυχῆς ἔκγονον· οἱ δʼ ἐμοὶ συγγιγνόμενοι τὸ μὲν πρῶτον φαίνονται ἔνιοι μὲν καὶ πάνυ ἀμαθεῖς, πάντες δὲ προϊούσης τῆς συνουσίας, οἷσπερ ἂν ὁ θεὸς παρείκῃ, θαυμαστὸν ὅσον ἐπιδιδόντες, ὡς αὑτοῖς τε καὶ τοῖς ἄλλοις δοκοῦσι· καὶ τοῦτο ἐναργὲς ὅτι παρʼ ἐμοῦ οὐδὲν πώποτε μαθόντες, ἀλλʼ αὐτοὶ παρʼ αὑτῶν πολλὰ καὶ καλὰ εὑρόντες τε καὶ τεκόντες. τῆς μέντοι μαιείας ὁ θεός τε καὶ ἐγὼ αἴτιος. ὧδε δὲ δῆλον· πολλοὶ ἤδη τοῦτο ἀγνοήσαντες καὶ ἑαυτοὺς αἰτιασάμενοι, ἐμοῦ δὲ καταφρονήσαντες, ἢ αὐτοὶ ἢ ὑπʼ ἄλλων πεισθέντες ἀπῆλθον πρῳαίτερον τοῦ δέοντος, ἀπελθόντες δὲ τά τε λοιπὰ ἐξήμβλωσαν διὰ πονηρὰν συνουσίαν καὶ τὰ ὑπʼ ἐμοῦ μαιευθέντα κακῶς τρέφοντες ἀπώλεσαν, ψευδῆ καὶ εἴδωλα περὶ πλείονος ποιησάμενοι τοῦ ἀληθοῦς, τελευτῶντες δʼ αὑτοῖς τε καὶ τοῖς ἄλλοις ἔδοξαν ἀμαθεῖς εἶναι.

SOC. No; but because there is a wrongful and unscientific way of bringing men and women together, which is called pandering, the midwives, since they are women of dignity and worth, avoid matchmaking, through fear of falling under the charge of pandering. And yet the true midwife is the only proper match-maker.

THEAET. It seems so.

SOC. So great, then, is the importance of midwives; but their function is less important than mine. For women do not, like my patients, bring forth at one time real children and at another mere images which it is difficult to distinguish from the real. For if they did, the greatest and noblest part of the work of the midwives would be in distinguishing between the real and the false. Do you not think so?

THEAET. Yes, I do.

SOC. All that is true of their art of midwifery is true also of mine, but mine differs from theirs in being practised upon men, not women, and in tending their souls in labor, not their bodies. But the greatest thing about my art is this, that it can test in every way whether the mind of the young man is bringing forth a mere image, an imposture, or a real and genuine offspring. For I have this in common with the midwives: I am sterile in point of wisdom, and the reproach which has often been brought against me, that I question others but make no reply myself about anything, because I have no wisdom in me, is a true reproach; and the reason of it is this: the god compels me to act as midwife, but has never allowed me to bring forth. I am, then, not at all a wise person myself, nor have I any wise invention, the offspring born of my own soul; but those who associate with me, although at first some of them seem very ignorant, yet, as our acquaintance advances, all of them to whom the god is gracious make wonderful progress, not only in their own opinion, but in that of others as well. And it is clear that they do this, not because they have ever learned anything from me, but because they have found in themselves many fair things and have brought them forth. But the delivery is due to the god and me. And the proof of it is this: many before now, being ignorant of this fact and thinking that they were themselves the cause of their success, but despising me, have gone away from me sooner than they ought, whether of their own accord or because others persuaded them to do so. Then, after they have gone away, they have miscarried thenceforth on account of evil companionship, and the offspring which they had brought forth through my assistance they have reared so badly that they have lost it; they have considered impostures and images of more importance than the truth, and at last it was evident to themselves, as well as to others, that they were ignorant.

People and places in this passage

English translation by Harold North Fowler (1921). Original text: Harold North Fowler (trans.), Plato VII: Theaetetus, Sophist, Loeb Classical Library, Cambridge, MA: Harvard University Press; London: William Heinemann, 1921; 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.

Theaetetus 148a–150e: Theaetetus' roots | Plato