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Nicomachean Ethics

§5.4

Corrective Justice and Equalization by Arithmetical Proportion

Contrasting distributive justice based on geometric proportion, this section discusses corrective justice in transactions based on arithmetic proportion, where the judge acts as an equalizer to restore the mean between gain and loss.

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§5.4

τὸ δὲ λοιπὸν ἓν τὸ διορθωτικόν, ὃ γίνεται ἐν τοῖς συναλλάγμασι καὶ τοῖς ἑκουσίοις καὶ τοῖς ἀκουσίοις. τοῦτο δὲ τὸ δίκαιον ἄλλο εἶδος ἔχει τοῦ πρότερον. τὸ μὲν γὰρ διανεμητικὸν δίκαιον τῶν κοινῶν ἀεὶ κατὰ τὴν ἀναλογίαν ἐστὶ τὴν εἰρημένην· καὶ γὰρ ἀπὸ χρημάτων κοινῶν ἐὰν γίνηται ἡ διανομή, ἔσται κατὰ τὸν λόγον τὸν αὐτὸν ὅνπερ ἔχουσι πρὸς ἄλληλα τὰ εἰσενεχθέντα· καὶ τὸ ἄδικον τὸ ἀντικείμενον τῷ δικαίῳ τούτῳ τὸ παρὰ τὸ ἀνάλογόν ἐστιν. τὸ δʼ ἐν τοῖς συναλλάγμασι δίκαιον ἐστὶ μὲν ἴσον τι, καὶ τὸ ἄδικον ἄνισον, ἀλλʼ οὐ κατὰ τὴν ἀναλογίαν ἐκείνην ἀλλὰ κατὰ τὴν ἀριθμητικήν. οὐδὲν γὰρ διαφέρει, εἰ ἐπιεικὴς φαῦλον ἀπεστέρησεν1 ἢ φαῦλος ἐπιεικῆ, οὐδʼ εἰ ἐμοίχευσεν ἐπιεικὴς ἢ φαῦλος· ἀλλὰ πρὸς τοῦ βλάβους τὴν διαφορὰν μόνον βλέπει ὁ νόμος, καὶ χρῆται ὡς ἴσοις, εἰ ὃ μὲν ἀδικεῖ ὃ δʼ ἀδικεῖται, καὶ εἰ ἔβλαψεν ὃ δὲ βέβλαπται. ὥστε τὸ ἄδικον τοῦτο ἄνισον ὂν2 ἰσάζειν πειρᾶται ὁ δικαστής· καὶ γὰρ ὅταν ὃ μὲν πληγῇ ὃ δὲ πατάξῃ, ἢ καὶ κτείνῃ ὃ δʼ ἀποθάνῃ, διῄρηται τὸ πάθος καὶ ἡ πρᾶξις εἰς ἄνισα· ἀλλὰ πειρᾶται τῇ ζημίᾳ ἰσάζειν, ἀφαιρῶν τοῦ κέρδους. λέγεται γὰρ ὡς ἁπλῶς εἰπεῖν ἐπὶ τοῖς τοιούτοις, κἂν εἰ μή τισιν οἰκεῖον ὄνομα εἴη, τὸ κέρδος, οἷον τῷ πατάξαντι, καὶ ἡ ζημία τῷ παθόντι· ἀλλʼ ὅταν γε μετρηθῇ τὸ πάθος, καλεῖται τὸ μὲν ζημία τὸ δὲ κέρδος. ὥστε τοῦ μὲν πλείονος καὶ ἐλάττονος τὸ ἴσον μέσον, τὸ δὲ κέρδος καὶ ἡ ζημία τὸ μὲν πλέον τὸ δʼ ἔλαττον ἐναντίως, τὸ μὲν τοῦ ἀγαθοῦ πλέον τοῦ κακοῦ δʼ ἔλαττον κέρδος, τὸ δʼ ἐναντίον ζημία· ὧν ἦν μέσον τὸ ἴσον, ὃ λέγομεν εἶναι δίκαιον· ὥστε τὸ ἐπανορθωτικὸν δίκαιον ἂν εἴη τὸ μέσον ζημίας καὶ κέρδους. διὸ καὶ ὅταν ἀμφισβητῶσιν, ἐπὶ τὸν δικαστὴν καταφεύγουσιν· τὸ δʼ ἐπὶ τὸν δικαστὴν ἰέναι ἰέναι ἐστὶν ἐπὶ τὸ δίκαιον· ὁ γὰρ δικαστὴς βούλεται εἶναι οἷον δίκαιον ἔμψυχον· καὶ ζητοῦσι δικαστὴν μέσον, καὶ καλοῦσιν ἔνιοι μεσιδίους, ὡς ἐὰν τοῦ μέσου τύχωσι, τοῦ δικαίου τευξόμενοι. μέσον ἄρα τι τὸ δίκαιον, εἴπερ καὶ ὁ δικαστής. ὁ δὲ δικαστὴς ἐπανισοῖ, καὶ ὥσπερ γραμμῆς εἰς ἄνισα τετμημένης, ᾧ τὸ μεῖζον τμῆμα τῆς ἡμισείας ὑπερέχει,3 τοῦτʼ ἀφεῖλε καὶ τῷ ἐλάττονι τμήματι προσέθηκεν. ὅταν δὲ δίχα διαιρεθῇ τὸ ὅλον, τότε φασὶν ἔχειν τὸ αὑτοῦ ὅταν λάβωσι τὸ ἴσον. τὸ δʼ ἴσον μέσον ἐστὶ τῆς μείζονος καὶ ἐλάττονος κατὰ τὴν ἀριθμητικὴν ἀναλογίαν. διὰ τοῦτο καὶ ὀνομάζεται δίκαιον, ὅτι δίχα ἐστίν, ὥσπερ ἂν εἴ τις εἴποι δίχαιον, καὶ ὁ δικαστὴς διχαστής. ἐπὰν γὰρ δύο ἴσων ἀφαιρεθῇ ἀπὸ θατέρου, πρὸς θάτερον δὲ προστεθῇ, δυσὶ τούτοις ὑπερέχει θάτερον· εἰ γὰρ ἀφῃρέθη μέν, μὴ προσετέθη δέ, ἑνὶ ἂν μόνον ὑπερεῖχεν. τοῦ μέσου ἄρα ἑνί, καὶ τὸ μέσον, ἀφʼ οὗ ἀφῃρέθη, ἑνί. τούτῳ ἄρα γνωριοῦμεν τί τε ἀφελεῖν δεῖ ἀπὸ τοῦ πλέον ἔχοντος, καὶ τί προσθεῖναι τῷ ἔλαττον ἔχοντι· ᾧ μὲν γὰρ τὸ μέσον ὑπερέχει, τοῦτο προσθεῖναι δεῖ τῷ ἔλαττον ἔχοντι, ᾧ δʼ ὑπερέχεται, ἀφελεῖν ἀπὸ τοῦ μεγίστου. ἴσαι αἱ ἐφʼ ὧν αα ββ γγ ἀλλήλαις· ἀπὸ τῆς αα ἀφῃρήσθω τὸ αε, καὶ προσκείσθω τῇ γγ τὸ ἐφʼ ᾧ γδ, ὥστε ὅλη ἡ δγγ τῆς εα ὑπερέχει τῷ γδ καὶ τῷ γζ· τῆς ἄρα ββ τῷ γδ.4 ἐλήλυθε δὲ τὰ ὀνόματα ταῦτα, ἥ τε ζημία καὶ τὸ κέρδος, ἐκ τῆς ἑκουσίου ἀλλαγῆς· τὸ μὲν γὰρ πλέον ἔχειν ἢ τὰ αὑτοῦ κερδαίνειν λέγεται, τὸ δʼ ἔλαττον τῶν ἐξ ἀρχῆς ζημιοῦσθαι, οἷον ἐν τῷ ὠνεῖσθαι καὶ πωλεῖν καὶ ἐν ὅσοις ἄλλοις ἄδειαν δέδωκεν ὁ νόμος· ὅταν δὲ μήτε πλέον μήτʼ ἔλαττον ἀλλʼ αὐτὰ τὰ διʼ αὐτῶν γένηται, τὰ αὑτῶν φασὶν ἔχειν καὶ οὔτε ζημιοῦσθαι οὔτε κερδαίνειν. ὥστε κέρδους τινὸς καὶ ζημίας μέσον τὸ δίκαιόν ἐστι τῶν παρὰ τὸ ἑκούσιον, τὸ ἴσον ἔχειν καὶ πρότερον καὶ ὕστερον.

The remaining one species is the corrective, which occurs in transactions, both voluntary and involuntary. This just has a different form from the previous one. For the distributive just of common funds is always according to the aforementioned proportion; indeed, even if a distribution is made from common assets, it will be according to the same ratio which the contributions have to one another. And the unjust opposed to this just is what is contrary to the proportion. But the just in transactions is indeed something equal, and the unjust is unequal, but not according to that proportion, but according to the arithmetical one. For it makes no difference whether a good man has defrauded a bad man, or a bad man a good one, nor whether a good man or a bad man has committed adultery; rather, the law looks only to the difference of the injury, and treats them as equals, if one acts unjustly and the other is treated unjustly, and if one has damaged and the other is damaged. Therefore, since this unjust is unequal, the judge tries to equalize it; for even when one has been struck and the other has struck, or one has killed and the other is dead, the suffering and the action are divided into unequal parts; but he tries by means of the penalty to equalize them, taking away from the gain. For the term “gain” is used, to speak generally, in such cases, even if for some of them it is not the proper word, as for instance for the one who struck, and “loss” for the one who suffered; but when the suffering is measured, one is called loss and the other gain. Therefore, the equal is the mean between the more and the less, and gain and loss are respectively more and less in opposite ways (more of good and less of evil being gain, and the contrary loss); and the mean between them was the equal, which we say is just; so that the corrective just would be the mean between loss and gain. Therefore, when people dispute, they flee to the judge; and to go to the judge is to go to the just; for the judge wishes to be as it were a living justice; and they seek a judge who is a mean, and some call them mediators, as if, if they obtain the mean, they will obtain the just. Therefore, the just is a certain mean, since the judge indeed is so. And the judge equalizes, and just as if a line had been cut into unequal parts, from that which the greater segment exceeds the half, he takes this away and adds it to the smaller segment. And when the whole has been divided in two, then people say they have their own when they get the equal. And the equal is the mean between the greater and the smaller according to arithmetical proportion. For this reason too it is called “just” (dikaion), because it is in two parts (dicha), as if one were to say “two-parted” (dichaion), and the judge (dikastes) is a halver (dichastes). For when from one of two equals something is taken away, and is added to the other, the latter exceeds the former by these two; for if it had been taken away indeed, but not added, it would have exceeded by one only. It exceeds the mean, therefore, by one, and the mean exceeds that from which it was taken by one. By this, then, we shall know both what we ought to take away from him who has more, and what to add to him who has less; for by as much as the mean exceeds, this we must add to him who has less, and by as much as it is exceeded, we must take away from the greatest. Let the lines aa, ββ, γγ be equal to one another; from aa let ae be taken away, and to γγ let γδ be added, so that the whole δγγ exceeds εα by γδ and γζ; therefore it exceeds ββ by γδ. And these names, loss and gain, have come from voluntary exchange; for to have more than one’s own is called gaining, and to have less than what one had at the beginning is to lose, as in buying and selling, and in all other transactions where the law has given security. But when they get neither more nor less but the very things that come from themselves, they say they have their own and are neither losing nor gaining. Therefore, the just is a certain mean of gain and loss in transactions contrary to the voluntary, namely, to have the equal both before and after.

Syntax notes4 items
  1. 1132a2οὐδὲν γὰρ διαφέρει, εἰ ἐπιεικὴς φαῦλον ἀπεστέρησεν

    The indicative aorist is used in the conditional clause with εἰ. This represents a concrete assumption of a past occurrence ('if a good man defrauded'), rather than a counterfactual condition (which would require ἄν with the indicative).

  2. 1132a6τὸ ἄδικον τοῦτο ἄνισον ὂν

    The participle ὄν (neuter singular accusative) is a predicative participle agreeing with τὸ ἄδικον τοῦτο, which is the object of the infinitive ἰσάζειν. It functions causally ('since this unjust thing is unequal'), highlighting the unequal nature of the unjust act that the judge attempts to equalize.

  3. 1132a26ᾧ τὸ μεῖζον τμῆμα τῆς ἡμισείας ὑπερέχει

    The relative pronoun ᾧ is a dative of degree of difference, indicating the amount of excess with the verb ὑπερέχει ('exceeds by which amount'). Its antecedent is the demonstrative pronoun τοῦτο in the main clause; thus, the phrase means 'he takes away that [amount] by which the greater segment exceeds the half.'

  4. 1132b8τῆς ἄρα ββ τῷ γδ.

    There is an ellipsis of the verb ὑπερέχει from the preceding clause (ὥστε ὅλη ἡ δγγ τῆς εα ὑπερέχει...). The genitive τῆς ββ is a genitive of comparison, and the phrase means: 'therefore (the whole DCC) exceeds BB by CD.'

Translated by Gemini 3.5 Flash (published 2026-05-22)urn:cts:greekLit:tlg0086.tlg010.humanitext-grc2:5.4