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Theaetetus

§171

Self-Refutation of the Measure Doctrine and Expertise

Socrates refutes Protagoras' 'man is the measure' doctrine by demonstrating its self-refutation, as Protagoras must concede that the opinions of his opponents are true, thereby confirming that expertise and differences in wisdom indeed exist.

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§171

ΣΩ. τί δὲ αὐτῷ Πρωταγόρᾳ;1 ἆρʼ οὐχὶ ἀνάγκη, εἰ μὲν μηδὲ αὐτὸς ᾤετο μέτρον εἶναι ἄνθρωπον μηδὲ οἱ πολλοί, ὥσπερ οὐδὲ οἴονται, μηδενὶ δὴ εἶναι ταύτην τὴν ἀλήθειαν ἣν ἐκεῖνος ἔγραψεν; εἰ δὲ αὐτὸς μὲν ᾤετο, τὸ δὲ πλῆθος μὴ συνοίεται, οἶσθʼ ὅτι πρῶτον μὲν ὅσῳ πλείους οἷς μὴ δοκεῖ ἢ οἷς δοκεῖ, τοσούτῳ μᾶλλον οὐκ ἔστιν2 ἢ ἔστιν. ΘΕΟ. ἀνάγκη, εἴπερ γε καθʼ ἑκάστην δόξαν ἔσται καὶ οὐκ ἔσται. ΣΩ. ἔπειτά γε τοῦτʼ ἔχει κομψότατον· ἐκεῖνος μὲν περὶ τῆς αὑτοῦ οἰήσεως τὴν τῶν ἀντιδοξαζόντων οἴησιν, ᾗ ἐκεῖνον ἡγοῦνται ψεύδεσθαι,3 συγχωρεῖ που ἀληθῆ εἶναι ὁμολογῶν τὰ ὄντα δοξάζειν ἅπαντας. ΘΕΟ. πάνυ μὲν οὖν. ΣΩ. οὐκοῦν τὴν αὑτοῦ ἂν ψευδῆ συγχωροῖ, εἰ τὴν τῶν ἡγουμένων αὐτὸν ψεύδεσθαι ὁμολογεῖ ἀληθῆ εἶναι; ΘΕΟ. ἀνάγκη. ΣΩ. οἱ δέ γʼ ἄλλοι οὐ συγχωροῦσιν ἑαυτοῖς ψεύδεσθαι; ΘΕΟ. οὐ γὰρ οὖν. ΣΩ. ὁ δέ γʼ αὖ ὁμολογεῖ καὶ ταύτην ἀληθῆ τὴν δόξαν ἐξ ὧν γέγραφεν. ΘΕΟ. φαίνεται. ΣΩ. ἐξ ἁπάντων ἄρα ἀπὸ Πρωταγόρου ἀρξαμένων ἀμφισβητήσεται, μᾶλλον δὲ ὑπό γε ἐκείνου ὁμολογήσεται, ὅταν τῷ τἀναντία λέγοντι συγχωρῇ ἀληθῆ αὐτὸν δοξάζειν, τότε καὶ ὁ Πρωταγόρας αὐτὸς συγχωρήσεται μήτε κύνα μήτε τὸν ἐπιτυχόντα ἄνθρωπον μέτρον εἶναι μηδὲ περὶ ἑνὸς οὗ ἂν μὴ μάθῃ. οὐχ οὕτως; ΘΕΟ. οὕτως. ΣΩ. οὐκοῦν ἐπειδὴ ἀμφισβητεῖται ὑπὸ πάντων, οὐδενὶ ἂν εἴη ἡ Πρωταγόρου Ἀλήθεια ἀληθής, οὔτε τινὶ ἄλλῳ οὔτʼ αὐτῷ ἐκείνῳ. ΘΕΟ. ἄγαν, ὦ Σώκρατες, τὸν ἑταῖρόν μου καταθέομεν.4 ΣΩ. ἀλλά τοι, ὦ φίλε, ἄδηλον εἰ καὶ παραθέομεν τὸ ὀρθόν. εἰκός γε ἄρα ἐκεῖνον πρεσβύτερον ὄντα σοφώτερον ἡμῶν εἶναι· καὶ εἰ αὐτίκα ἐντεῦθεν ἀνακύψειε μέχρι τοῦ αὐχένος, πολλὰ ἂν ἐμέ τε ἐλέγξας ληροῦντα, ὡς τὸ εἰκός, καὶ σὲ ὁμολογοῦντα, καταδὺς ἂν οἴχοιτο ἀποτρέχων. ἀλλʼ ἡμῖν ἀνάγκη οἶμαι χρῆσθαι ἡμῖν αὐτοῖς ὁποῖοί τινές ἐσμεν, καὶ τὰ δοκοῦντα ἀεὶ ταῦτα λέγειν. καὶ δῆτα καὶ νῦν ἄλλο τι φῶμεν ὁμολογεῖν ἂν τοῦτό γε ὁντινοῦν, τὸ εἶναι σοφώτερον ἕτερον ἑτέρου, εἶναι δὲ καὶ ἀμαθέστερον; ΘΕΟ. ἐμοὶ γοῦν δοκεῖ. ΣΩ. ἦ καὶ ταύτῃ ἂν μάλιστα ἵστασθαι τὸν λόγον, ᾗ ἡμεῖς ὑπεγράψαμεν βοηθοῦντες Πρωταγόρᾳ, ὡς τὰ μὲν πολλὰ ᾗ δοκεῖ, ταύτῃ καὶ ἔστιν ἑκάστῳ, θερμά, ξηρά, γλυκέα, πάντα ὅσα τοῦ τύπου τούτου· εἰ δέ που ἔν τισι συγχωρήσεται διαφέρειν ἄλλον ἄλλου, περὶ τὰ ὑγιεινὰ καὶ νοσώδη ἐθελῆσαι ἂν φάναι μὴ πᾶν γύναιον καὶ παιδίον, καὶ θηρίον δέ, ἱκανὸν εἶναι ἰᾶσθαι αὑτὸ γιγνῶσκον ἑαυτῷ τὸ ὑγιεινόν, ἀλλὰ ἐνταῦθα δὴ ἄλλον ἄλλου διαφέρειν, εἴπερ που; ΘΕΟ. ἔμοιγε δοκεῖ οὕτως.

​SOCRATES: But what about Protagoras himself? Is it not necessary, if neither he himself thought man is the measure, nor the multitude—as indeed they do not—that this ‘Truth’ which he wrote exists for no one? And if he himself thought so, but the multitude does not agree, do you know that, first of all, by as much as those to whom it does not seem so are more numerous than those to whom it does, by so much more it is not than it is? THEODORUS: It must be so, if indeed it will be and will not be according to each opinion. SOCRATES: Then, indeed, it has this most elegant feature: regarding his own opinion, he concedes that the opinion of those who oppose him—by which they believe him to be false—is true, since he agrees that all believe what is the case. THEODORUS: Yes, absolutely. SOCRATES: Therefore, would he not concede that his own is false, if he agrees that the opinion of those who believe him to be false is true? THEODORUS: Necessarily. SOCRATES: But do the others not concede that they themselves are false? THEODORUS: No, indeed they do not. SOCRATES: But he, on the other hand, agrees that this opinion too is true, from what he has written. THEODORUS: So it seems. SOCRATES: Therefore, it will be disputed by all, beginning with Protagoras—or rather, it will be agreed by him, when he concedes to the one saying the opposite that he believes what is true, then Protagoras himself will also concede that neither a dog nor any random man is the measure regarding any single thing which he has not learned. Is it not so? THEODORUS: It is so. SOCRATES: Therefore, since it is disputed by all, the Truth of Protagoras would not be true for anyone, neither for any other nor for himself. THEODORUS: Socrates, we are running down my friend too much. SOCRATES: But, my friend, it is unclear whether we are also running past what is right. It is likely indeed that he, being older, is wiser than us; and if he should suddenly pop up from here as far as his neck, he would probably accuse me of talking nonsense, as is likely, and you of agreeing, and then sink down and run off. But it is necessary for us, I think, to use ourselves such as we are, and always to say what seems to be. And indeed, even now, shall we say that anyone whatsoever would agree to this, namely, that one person is wiser than another, and also more ignorant? THEODORUS: To me at least it seems so. SOCRATES: And would the argument stand firmest in this way, in which we sketched it out when helping Protagoras, namely, that for the most part, in the way it seems to each, in that way it also is for him—hot, dry, sweet, and all things of this type; but if it is to be conceded that in some things one differs from another, he would be willing to say regarding what is healthy and diseased that not every woman and child, and indeed beast, is capable of healing itself by knowing what is healthy for itself, but here indeed one differs from another, if indeed anywhere? THEODORUS: To me at least it seems so.

Syntax notes4 items
  1. 171τί δὲ αὐτῷ Πρωταγόρᾳ;

    The dative αὐτῷ Πρωταγόρᾳ is a dative of reference or relation, meaning 'As for Protagoras himself?'. It forms a standalone elliptical question without governing a specific verb or accusative-and-infinitive construction.

  2. 171aὅσῳ πλείους οἷς μὴ δοκεῖ ἢ οἷς δοκεῖ, τοσούτῳ μᾶλλον οὐκ ἔστιν ἢ ἔστιν

    A comparative correlative construction using the adverbial datives of degree of difference, ὅσῳ ... τοσούτῳ ('by as much as... by so much more...'). The relative pronouns οἷς are in the dative due to attraction to the omitted demonstrative antecedents (ἐκείνοις), representing 'those to whom it does not seem so' and 'those to whom it does'.

  3. 171aᾗ ἐκεῖνον ἡγοῦνται ψεύδεσθαι

    The relative dative adverb ᾗ functions as 'in which respect' or 'whereby'. It modifies the following accusative-and-infinitive clause ἐκεῖνον ἡγοῦνται ψεύδεσθαι ('they believe him to be false'), indicating the basis or aspect in which they judge him to be mistaken.

  4. 171cκαταθέομεν

    Socrates plays on Theodorus' use of καταθέομεν ('we run down/devastate') by responding with παραθέομεν ('we run past/overshoot/miss'). This paronomasia suggests not just passing by, but also 'overshooting the truth' and thus missing the mark in their criticism.

Translated by Gemini 3.5 Flash (published 2026-05-22)urn:cts:greekLit:tlg0059.tlg006.humanitext-grc2:171