Humanitext Reader

Aristotle · Metaphysics §11.6#1

Protagoras' Measure Doctrine and Defense of Non-Contradiction

Passage 113 of 159 · Greek

Summary

The author points out that Protagoras' man-measure theory leads to the denial of the principle of non-contradiction, and refutes it by tracing its origin to natural philosophy and arguing from the nature of sensation and motion.

§11.6#1παραπλήσιον δὲ τοῖς εἰρημένοις ἐστὶ καὶ τὸ λεχθὲν ὑπὸ τοῦ Πρωταγόρου· καὶ γὰρ ἐκεῖνος ἔφη πάντων εἶναι χρημάτων μέτρον ἄνθρωπον, οὐδὲν ἕτερον λέγων ἢ τὸ δοκοῦν ἑκάστῳ τοῦτο καὶ εἶναι παγίως·
And closely related to what has been said is also what was stated by Protagoras; for he too said that man is the measure of all things, meaning nothing other than that what seems to each person is also what securely exists.
τούτου δὲ γιγνομένου τὸ αὐτὸ συμβαίνει καὶ εἶναι καὶ μὴ εἶναι, καὶ κακὸν καὶ ἀγαθὸν εἶναι, καὶ τἆλλα τὰ κατὰ τὰς ἀντικειμένας λεγόμενα φάσεις, διὰ τὸ πολλάκις τοισδὶ μὲν φαίνεσθαι τόδε εἶναι καλὸν τοισδὶ δὲ τοὐναντίον, μέτρον δʼ εἶναι τὸ φαινόμενον ἑκάστῳ.
But if this is so, it follows that the same thing both is and is not, and is both bad and good, and the other things that are stated according to opposite assertions, because often to some people this seems to be beautiful, but to others the opposite, and what seems to each is the measure.
λύοιτο δʼ ἂν αὕτη ἡ ἀπορία θεωρήσασι πόθεν ἐλήλυθεν ἡ ἀρχὴ τῆς ὑπολήψεως ταύτης· ἔοικε γὰρ ἐνίοις μὲν ἐκ τῆς τῶν φυσιολόγων δόξης γεγενῆσθαι, τοῖς δʼ ἐκ τοῦ μὴ ταὐτὰ περὶ τῶν αὐτῶν ἅπαντας γιγνώσκειν ἀλλὰ τοῖσδε μὲν ἡδὺ τόδε φαίνεσθαι τοῖσδε δὲ τοὐναντίον.
This difficulty would be resolved if we consider whence the origin of this belief has arisen; for it seems to have arisen for some from the opinion of the natural philosophers, and for others from the fact that not all people judge the same things in the same way, but to some this seems sweet (pleasant), while to others the opposite.
τὸ γὰρ μηδὲν ἐκ μὴ ὄντος γίγνεσθαι, πᾶν δʼ ἐξ ὄντος, σχεδὸν ἁπάντων ἐστὶ κοινὸν δόγμα τῶν περὶ φύσεως·
For that nothing comes to be from non-being, but everything from being, is a common doctrine of almost all who study nature.
ἐπεὶ οὖν οὐ λευκὸν γίγνεται λευκοῦ τελέως ὄντος καὶ οὐδαμῇ μὴ λευκοῦ, γίγνοιτʼ ἂν ἐκ μὴ ὄντος λευκοῦ τὸ γιγνόμενον λευκόν·
Since, then, what becomes white does not come to be from that which is perfectly white and in no way non-white, that which becomes white would come to be from non-white being.
ὥστε ἐκ μὴ ὄντος γίγνοιτʼ ἂν κατʼ ἐκείνους, εἰ μὴ ὑπῆρχε λευκὸν τὸ αὐτὸ καὶ μὴ λευκόν.
Therefore, according to them, it would come to be from non-being unless the same thing were already both white and non-white.
οὐ χαλεπὸν δὲ διαλύειν τὴν ἀπορίαν ταύτην· εἴρηται γὰρ ἐν τοῖς φυσικοῖς πῶς ἐκ τοῦ μὴ ὄντος γίγνεται τὰ γιγνόμενα καὶ πῶς ἐξ ὄντος.
But it is not difficult to resolve this difficulty; for it has been stated in the *Physics* how things that come to be do so from non-being, and how from being.
τό γε μὴν ὁμοίως προσέχειν ταῖς δόξαις καὶ ταῖς φαντασίαις τῶν πρὸς αὑτοὺς διαμφισβητούντων εὔηθες· δῆλον γὰρ ὅτι τοὺς ἑτέρους αὐτῶν ἀνάγκη διεψεῦσθαι.
However, to pay equal attention to the opinions and appearances of those who dispute with one another is foolish; for it is clear that one of the two parties must necessarily be mistaken.
φανερὸν δὲ τοῦτʼ ἐκ τῶν γιγνομένων κατὰ τὴν αἴσθησιν· οὐδέποτε γὰρ τὸ αὐτὸ φαίνεται τοῖς μὲν γλυκὺ τοῖς δὲ τοὐναντίον, μὴ διεφθαρμένων καὶ λελωβημένων τῶν ἑτέρων τὸ αἰσθητήριον καὶ κριτήριον τῶν λεχθέντων χυμῶν.
And this is clear from what happens in sensation; for the same thing never appears sweet to some and the opposite to others, unless the sense organ, which is the criterion of the mentioned tastes, of one of the parties is destroyed and damaged.
τούτου δʼ ὄντος τοιούτου τοὺς ἑτέρους μὲν ὑποληπτέον μέτρον εἶναι τοὺς δʼ ἄλλους οὐχ ὑποληπτέον.
And since this is so, one of the parties must be assumed to be the measure, and the others must not be assumed as such.
ὁμοίως δὲ τοῦτο λέγω καὶ ἐπὶ ἀγαθοῦ καὶ κακοῦ, καὶ καλοῦ καὶ αἰσχροῦ, καὶ τῶν ἄλλων τῶν τοιούτων.
I say the same likewise concerning good and bad, and beautiful and ugly, and other such things.
οὐδὲν γὰρ διαφέρει τοῦτʼ ἀξιοῦν ἢ τὰ φαινόμενα τοῖς ὑπὸ τὴν ὄψιν ὑποβάλλουσι τὸν δάκτυλον καὶ ποιοῦσιν ἐκ τοῦ ἑνὸς φαίνεσθαι δύο, δύο δεῖν εἶναι διὰ τὸ φαίνεσθαι τοσαῦτα, καὶ πάλιν ἕν· τοῖς γὰρ μὴ κινοῦσι τὴν ὄψιν ἓν φαίνεται τὸ ἕν.
For to maintain this is no different from claiming that, to those who press a finger under the eye and make one thing appear to be two, there must be two because they appear so many, and again one; for to those who do not move their eye, the one appears as one.
ὅλως δὲ ἄτοπον ἐκ τοῦ φαίνεσθαι τὰ δεῦρο μεταβάλλοντα καὶ μηδέποτε διαμένοντα ἐν τοῖς αὐτοῖς, ἐκ τούτου περὶ τῆς ἀληθείας τὴν κρίσιν ποιεῖσθαι· δεῖ γὰρ ἐκ τῶν ἀεὶ κατὰ ταὐτὰ ἐχόντων καὶ μηδεμίαν μεταβολὴν ποιουμένων τἀληθὲς θηρεύειν, τοιαῦτα δʼ ἐστὶ τὰ κατὰ τὸν κόσμον· ταῦτα γὰρ οὐχ ὁτὲ μὲν τοιαδὶ πάλιν δʼ ἀλλοῖα φαίνεται, ταὐτὰ δʼ ἀεὶ καὶ μεταβολῆς οὐδεμιᾶς κοινωνοῦντα.
Generally, it is absurd to make our judgment about truth from the fact that things here are changing and never remain in the same state; for we must hunt for the truth from things which are always in the same state and undergo no change, and such are the things in the cosmos; for these do not appear now of one sort and then of another, but are always the same and share in no change.
ἔτι δʼ εἰ κίνησις ἔστι, καὶ κινούμενόν τι, κινεῖται δὲ πᾶν ἔκ τινος καὶ εἴς τι·
Furthermore, if motion exists, there is also something being moved, and everything that is moved is moved from something and into something.
δεῖ ἄρα τὸ κινούμενον εἶναι ἐν ἐκείνῳ ἐξ οὗ κινήσεται καὶ οὐκ εἶναι ἐν αὐτῷ, καὶ εἰς τοδὶ κινεῖσθαι καὶ γίγνεσθαι ἐν τούτῳ, τὸ δὲ κατὰ τὴν ἀντίφασιν μὴ συναληθεύεσθαι κατʼ αὐτούς.
Therefore, that which is being moved must both be in that from which it is to be moved, and not be in it, and must be moved into this other and be coming to be in it, and so the contradiction cannot be true at the same time, according to them.

Notes

  1. 1062b20θεωρήσασι — Dative plural participle without an explicit referent. It expresses a condition or means, representing "if we/one consider" or "for those who consider."
  2. 1062b29ἐκ μὴ ὄντος λευκοῦ — Interpreted as "from non-white being." Here, μὴ ὄντος does not mean absolute non-being, but "being which is not [white]" (non-white), serving as the starting point (ἐκ) of change.
  3. 1063a1τῶν ἑτέρων τὸ αἰσθητήριον — In the genitive absolute construction (μὴ διεφθαρμένων... τὸ αἰσθητήριον...), τῶν ἑτέρων ("of one of the parties") is a possessive genitive modifying τὸ αἰσθητήριον ("the sense organ"), identifying the healthy party whose sense organ is undamaged as the proper measure.
  4. 1063a21μὴ συναληθεύεσθαι — An infinitive showing result or governed by the preceding δεῖ (1063a18). It expresses the necessary consequence: "(by the nature of motion) the contradiction cannot (or must not) be true at the same time."

Cite this passage

Aristotle, Metaphysics §11.6#1. Humanitext Reader, https://reader.humanitext.ai/en/text/urn:cts:greekLit:tlg0086.tlg025.humanitext-grc2:11.6%231

Please note the AI-draft status of the translation and the date accessed.

Translation, notes and summary are AI-generated drafts, revised through reader feedback.