Cephalos Ceph.You understand what I mean, do you not?
Certainly, said Socrates, I understand.
Then knowledge also, if abstract or absolute, would be knowledge of abstract or absolute truth?
Certainly.
And likewise each kind of absolute knowledge would be knowledge of each kind of absolute being, would it not?
Yes.
And would not the knowledge that exists among us be the knowledge of the truth that exists among us, and each kind of our knowledge 134b be the knowledge of each kind of truth that exists among us?
Yes, that is inevitable.
But the ideas themselves, as you, agree, we have not, neither can they be among us.
No, they cannot.
And the various classes of ideas are known by the absolute idea of knowledge?
Yes.
Which we do not possess.
No, we do not.
Then none of the ideas is known by us, since we do not partake of absolute knowledge.
Apparently not.
Then the absolute good and the beautiful and all 134c which we conceive to be absolute ideas are unknown to us.
I am afraid they are.
Now we come to a still more fearful consequence.
What is it?
You would say, no doubt, that if there is an absolute kind of knowledge, it is far more accurate than our knowledge, and the same of beauty and all the rest?
Yes.
And if anything partakes of absolute knowledge, you would say that there is no one more likely than God to possess this most accurate knowledge?
Of course. 134d
Then will it be possible for God to know human things, if he has absolute knowledge?
Why not?
Because, said Parmenides, we have agreed that those ideas are not relative to our world, nor our world to them, but each only to themselves.
Yes, we have agreed to that.
Then if this most perfect mastership and this most accurate knowledge are with God, his mastership can never rule us, 134e nor his knowledge know us or anything of our world; we do not rule the gods with our authority, nor do we know anything of the divine with our knowledge, and by the same reasoning, they likewise, being gods, are not our masters and have no knowledge of human affairs.
But surely this, said he, is a most amazing argument, if it makes us deprive God of knowledge.
Ceph. And yet, Socrates, said Parmenides, 135athese difficulties and many more besides are inseparable from the ideas, if these ideas of things exist and we declare that each of them is an absolute idea. Therefore he who hears such assertions is confused in his mind and argues that the ideas do not exist, and even if they do exist cannot by any possibility be known by man; and he thinks that what he says is reasonable, and, as I was saying just now, he is amazingly hard to convince. Only a man of very great natural gifts will be able to understand that everything has a class and absolute essence, 135b and only a still more wonderful man can find out all these facts and teach anyone else to analyze them properly and understand them.
I agree with you, Parmenides, said Socrates, for what you say is very much to my mind.
But on the other hand, said Parmenides, if anyone, with his mind fixed on all these objections and others like them, denies the existence of ideas of things, and does not assume an idea under which each individual thing is classed, he will be quite at a loss, 135c since he denies that the idea of each thing is always the same, and in this way he will utterly destroy the power of carrying on discussion. You seem to have been well aware of this.
Quite true, he said.
Then what will become of philosophy? To what can you turn, if these things are unknown?
I do not see at all, at least not at present.
No, Socrates, he said, for you try too soon, before you are properly trained, to define the beautiful, the just, the good, and all the other ideas. 135d You see I noticed it when I heard you talking yesterday with Aristoteles here. Your impulse towards dialectic is noble and divine, you may be assured of that; but exercise and train yourself while you are still young in an art which seems to be useless and is called by most people mere loquacity; otherwise the truth will escape you.
What, then, Parmenides, he said, is the method of training?
That which you heard Zeno practising, said he. 135e However, even when you were speaking to him I was pleased with you, because you would not discuss the doubtful question in terms of visible objects or in relation to them, but only with reference to what we conceive most entirely by the intellect and may call ideas.
Yes, he said, that is because I think that in that way it is quite easy to show that things experience likeness or unlikeness or anything else.
Ceph. Quite right, said he, but if you wish to get better training, you must do something more than that; 136ayou must consider not only what happens if a particular hypothesis is true, but also what happens if it is not true.
What do you mean? he said.
Take, for instance, he replied, that hypothesis of Zeno’s if the many exist, you should inquire what will happen to the many themselves in relation to themselves and to the one, and to the one in relation to itself and to the many, and also what will happen to the one and the many in relation to themselves and to each other, if the many do not exist. 136b And likewise if you suppose the existence or non-existence of likeness, what will happen to the things supposed and to other things in relation to themselves and to each other under each of the two hypotheses. The same applies to unlikeness and to motion and rest, creation and destruction, and even to being and not being. In brief, whatever the subject of your hypothesis, if you suppose that it is or is not, or that it experiences any other affection, you must consider what happens to it and to any other particular things you may choose, and to a greater number and to all in the same way; 136c and you must consider other things in relation to themselves and to anything else you may choose in any instance, whether you suppose that the subject of your hypothesis exists or does not exist, if you are to train yourself completely to see the truth perfectly.
Parmenides, he said, it is a stupendous amount of study which you propose, and I do not understand very well. Why do you not yourself frame an hypothesis and discuss it, to make me understand better? 136d That is a great task, Socrates, he said, to impose upon a man of my age.
But you, Zeno, said Socrates, why do not you do it for us?
Pythodorus said that Zeno answered with a smile: Let us ask it of Parmenides himself, Socrates; for there is a great deal in what he says, and perhaps you do not see how heavy a task you are imposing upon him. If there were more of us, it would not be fair to ask it of him; for it is not suitable for him to speak on such subjects before many, especially at his age; 136e for the many do not know that except by this devious passage through all things the mind cannot attain to the truth. So I, Parmenides, join Socrates in his request, that I myself may hear the method, which I have not heard for a long time.
Antiphon said that Pythodorus told him that when Zeno said this he himself and Antisthenes and the rest begged Parmenides to show his meaning by an example and not to refuse. And Parmenides said: I must perforce do as you ask.
Ceph. And yet I feel very much like the horse in the poem of Ibycus 1—an old race-horse who was entered for a chariot race and was trembling with fear of what was before him, because he knew it by experience. Ibycus says he is compelled to fall in love against his will in his old age, and compares himself to the horse. So I am filled with terror when I remember through what a fearful ocean of words I must swim, old man that I am. However, I will do it, for I must be obliging, especially since we are, as Zeno says, alone. 137bWell, how shall we begin? What shall be our first hypothesis? Or, since you are determined that I must engage in a laborious pastime, shall I begin with myself, taking my own hypothesis and discussing the consequences of the supposition that the one exists or that it does not exist?
By all means, said Zeno.
Who then, said he, to answer my questions? Shall we say the youngest? He would be least likely to be over-curious and most likely to say what he thinks and moreover his replies would give me a chance to rest. 137c I am ready, Parmenides, to do that, said Aristoteles, for I am the youngest, so you mean me. Ask your questions and I will answer.
Well then, said he, if the one exists, the one cannot be many, can it? No, of course not. Then there can be no parts of it, nor can it be a whole. How is that? The part surely is part of a whole. Yes. And what is the whole? Is not a whole that of which no part is wanting? 137d Certainly. Then in both cases the one would consist of parts, being a whole and having parts. Inevitably. Then in both cases the one would be many, not one. True. Yet it must be not many, but one. Yes. Then the one, if it is to be one, will not be a whole and will not have parts. No.
And if it has no parts, it can have no beginning, or middle, or end, for those would be parts of it? Quite right. Beginning and end are, however, the limits of everything. Of course. Then the one, if it has neither beginning nor end, is unlimited. Yes, it is unlimited. And it is without form, 137e for it partakes neither of the round nor of the straight. How so? The round, of course, is that of which the extremes are everywhere equally distant from the center. Yes. And the straight, again, is that of which the middle is in the nearest line between the two extremes. It is. Then the one would have parts and would be many, whether it partook of straight or of round form. Certainly. Then it is neither straight nor round, since it has no parts. 138a Right.
be the knowledge of each kind of truth that exists among us?
Yes, that is inevitable.
But the ideas themselves, as you, agree, we have not, neither can they be among us.
No, they cannot.
And the various classes of ideas are known by the absolute idea of knowledge?
Yes.
Which we do not possess.
No, we do not.
Then none of the ideas is known by us, since we do not partake of absolute knowledge.
Apparently not.
Then the absolute good and the beautiful and all
ὄντων ἑκάστου ἂν ἐπιστήμη συμβαίνοι εἶναι;
ἀνάγκη.
ἀλλὰ μὴν αὐτά γε τὰ εἴδη, ὡς ὁμολογεῖς, οὔτε ἔχομεν οὔτε παρʼ ἡμῖν οἷόν τε εἶναι.
οὐ γὰρ οὖν.
γιγνώσκεται δέ γέ που ὑπʼ αὐτοῦ τοῦ εἴδους τοῦ τῆς ἐπιστήμης αὐτὰ τὰ γένη ἃ ἔστιν ἕκαστα;
ναί.
ὅ γε ἡμεῖς οὐκ ἔχομεν.
οὐ γάρ.
οὐκ ἄρα ὑπό γε ἡμῶν γιγνώσκεται τῶν εἰδῶν οὐδέν, ἐπειδὴ αὐτῆς ἐπιστήμης οὐ μετέχομεν.
οὐκ ἔοικεν.
ἄγνωστον ἄρα ἡμῖν καὶ αὐτὸ τὸ καλὸν ὃ ἔστι καὶ
which we conceive to be absolute ideas are unknown to us.
I am afraid they are.
Now we come to a still more fearful consequence.
What is it?
You would say, no doubt, that if there is an absolute kind of knowledge, it is far more accurate than our knowledge, and the same of beauty and all the rest?
Yes.
And if anything partakes of absolute knowledge, you would say that there is no one more likely than God to possess this most accurate knowledge?
Of course.
τὸ ἀγαθὸν καὶ πάντα ἃ δὴ ὡς ἰδέας αὐτὰς οὔσας ὑπολαμβάνομεν.
κινδυνεύει.
ὅρα δὴ ἔτι τούτου δεινότερον τόδε.
τὸ ποῖον;
φαίης ἄν που, εἴπερ ἔστιν αὐτό τι γένος ἐπιστήμης, πολὺ αὐτὸ ἀκριβέστερον εἶναι ἢ τὴν παρʼ ἡμῖν ἐπιστήμην, καὶ κάλλος καὶ τἆλλα πάντα οὕτω.
ναί.
οὐκοῦν εἴπερ τι ἄλλο αὐτῆς ἐπιστήμης μετέχει, οὐκ ἄν τινα μᾶλλον ἢ θεὸν φαίης ἔχειν τὴν ἀκριβεστάτην ἐπιστήμην;
ἀνάγκη.
Then will it be possible for God to know human things, if he has absolute knowledge?
Why not?
Because, said Parmenides, we have agreed that those ideas are not relative to our world, nor our world to them, but each only to themselves.
Yes, we have agreed to that.
Then if this most perfect mastership and this most accurate knowledge are with God, his mastership can never rule us,
ἆρʼ οὖν οἷός τε αὖ ἔσται ὁ θεὸς τὰ παρʼ ἡμῖν γιγνώσκειν αὐτὴν ἐπιστήμην ἔχων;
τί γὰρ οὔ;
ὅτι, ἔφη ὁ Παρμενίδης, ὡμολόγηται ἡμῖν, ὦ Σώκρατες, μήτε ἐκεῖνα τὰ εἴδη πρὸς τὰ παρʼ ἡμῖν τὴν δύναμιν ἔχειν ἣν ἔχει, μήτε τὰ παρʼ ἡμῖν πρὸς ἐκεῖνα, ἀλλʼ αὐτὰ πρὸς αὑτὰ ἑκάτερα.
ὡμολόγηται γάρ.
οὐκοῦν εἰ παρὰ τῷ θεῷ αὕτη ἐστὶν ἡ ἀκριβεστάτη δεσποτεία καὶ αὕτη ἡ ἀκριβεστάτη ἐπιστήμη, οὔτʼ ἂν ἡ δεσποτεία ἡ ἐκείνων ἡμῶν ποτὲ ἂν δεσπόσειεν, οὔτʼ ἂν
nor his knowledge know us or anything of our world; we do not rule the gods with our authority, nor do we know anything of the divine with our knowledge, and by the same reasoning, they likewise, being gods, are not our masters and have no knowledge of human affairs.
But surely this, said he, is a most amazing argument, if it makes us deprive God of knowledge.
Cephalos Ceph. And yet, Socrates, said Parmenides,
ἐπιστήμη ἡμᾶς γνοίη οὐδέ τι ἄλλο τῶν παρʼ ἡμῖν, ἀλλὰ ὁμοίως ἡμεῖς τε ἐκείνων οὐκ ἄρχομεν τῇ παρʼ ἡμῖν ἀρχῇ οὐδὲ γιγνώσκομεν τοῦ θείου οὐδὲν τῇ ἡμετέρᾳ ἐπιστήμῃ, ἐκεῖνοί τε αὖ κατὰ τὸν αὐτὸν λόγον οὔτε δεσπόται ἡμῶν εἰσὶν οὔτε γιγνώσκουσι τὰ ἀνθρώπεια πράγματα θεοὶ ὄντες.
ἀλλὰ μὴ λίαν, ἔφη, ᾖ θαυμαστὸς ὁ λόγος, εἴ τις τὸν θεὸν ἀποστερήσει τοῦ εἰδέναι.
ταῦτα μέντοι, ὦ Σώκρατες, ἔφη ὁ Παρμενίδης, καὶ ἔτι
Cephalos these difficulties and many more besides are inseparable from the ideas, if these ideas of things exist and we declare that each of them is an absolute idea. Therefore he who hears such assertions is confused in his mind and argues that the ideas do not exist, and even if they do exist cannot by any possibility be known by man; and he thinks that what he says is reasonable, and, as I was saying just now, he is amazingly hard to convince. Only a man of very great natural gifts will be able to understand that everything has a class and absolute essence,
ἄλλα πρὸς τούτοις πάνυ πολλὰ ἀναγκαῖον ἔχειν τὰ εἴδη, εἰ εἰσὶν αὗται αἱ ἰδέαι τῶν ὄντων καὶ ὁριεῖταί τις αὐτό τι ἕκαστον εἶδος· ὥστε ἀπορεῖν τε τὸν ἀκούοντα καὶ ἀμφισβητεῖν ὡς οὔτε ἔστι ταῦτα, εἴ τε ὅτι μάλιστα εἴη, πολλὴ ἀνάγκη αὐτὰ εἶναι τῇ ἀνθρωπίνῃ φύσει ἄγνωστα, καὶ ταῦτα λέγοντα δοκεῖν τε τὶ λέγειν καί, ὃ ἄρτι ἐλέγομεν, θαυμαστῶς ὡς δυσανάπειστον εἶναι. καὶ ἀνδρὸς πάνυ μὲν εὐφυοῦς τοῦ δυνησομένου μαθεῖν ὡς ἔστι γένος τι ἑκάστου καὶ οὐσία αὐτὴ
Cephalos and only a still more wonderful man can find out all these facts and teach anyone else to analyze them properly and understand them.
I agree with you, Parmenides, said Socrates, for what you say is very much to my mind.
But on the other hand, said Parmenides, if anyone, with his mind fixed on all these objections and others like them, denies the existence of ideas of things, and does not assume an idea under which each individual thing is classed, he will be quite at a loss,
καθʼ αὑτήν, ἔτι δὲ θαυμαστοτέρου τοῦ εὑρήσοντος καὶ ἄλλον δυνησομένου διδάξαι ταῦτα πάντα ἱκανῶς διευκρινησάμενον.
συγχωρῶ σοι, ἔφη, ὦ Παρμενίδη, ὁ Σωκράτης· πάνυ γάρ μοι κατὰ νοῦν λέγεις.
ἀλλὰ μέντοι, εἶπεν ὁ Παρμενίδης, εἴ γέ τις δή, ὦ Σώκρατες, αὖ μὴ ἐάσει εἴδη τῶν ὄντων εἶναι, εἰς πάντα τὰ νυνδὴ καὶ ἄλλα τοιαῦτα ἀποβλέψας, μηδέ τι ὁριεῖται εἶδος ἑνὸς ἑκάστου, οὐδὲ ὅποι τρέψει τὴν διάνοιαν ἕξει, μὴ ἐῶν
since he denies that the idea of each thing is always the same, and in this way he will utterly destroy the power of carrying on discussion. You seem to have been well aware of this.
Quite true, he said.
Then what will become of philosophy? To what can you turn, if these things are unknown?
I do not see at all, at least not at present.
No, Socrates, he said, for you try too soon, before you are properly trained, to define the beautiful, the just, the good, and all the other ideas.
ἰδέαν τῶν ὄντων ἑκάστου τὴν αὐτὴν ἀεὶ εἶναι, καὶ οὕτως τὴν τοῦ διαλέγεσθαι δύναμιν παντάπασι διαφθερεῖ. τοῦ τοιούτου μὲν οὖν μοι δοκεῖς καὶ μᾶλλον ᾐσθῆσθαι.
ἀληθῆ λέγεις, φάναι.
τί οὖν ποιήσεις φιλοσοφίας πέρι; πῇ τρέψῃ ἀγνοουμένων τούτων;
οὐ πάνυ μοι δοκῶ καθορᾶν ἔν γε τῷ παρόντι.
πρῲ γάρ, εἰπεῖν, πρὶν γυμνασθῆναι, ὦ Σώκρατες, ὁρίζεσθαι ἐπιχειρεῖς καλόν τέ τι καὶ δίκαιον καὶ ἀγαθὸν καὶ ἓν
You see I noticed it when I heard you talking yesterday with Aristoteles here. Your impulse towards dialectic is noble and divine, you may be assured of that; but exercise and train yourself while you are still young in an art which seems to be useless and is called by most people mere loquacity; otherwise the truth will escape you.
What, then, Parmenides, he said, is the method of training?
That which you heard Zeno practising, said he.
ἕκαστον τῶν εἰδῶν. ἐνενόησα γὰρ καὶ πρῴην σου ἀκούων διαλεγομένου ἐνθάδε Ἀριστοτέλει τῷδε. καλὴ μὲν οὖν καὶ θεία, εὖ ἴσθι, ἡ ὁρμὴ ἣν ὁρμᾷς ἐπὶ τοὺς λόγους· ἕλκυσον δὲ σαυτὸν καὶ γύμνασαι μᾶλλον διὰ τῆς δοκούσης ἀχρήστου εἶναι καὶ καλουμένης ὑπὸ τῶν πολλῶν ἀδολεσχίας, ἕως ἔτι νέος εἶ· εἰ δὲ μή, σὲ διαφεύξεται ἡ ἀλήθεια.
τίς οὖν ὁ τρόπος, φάναι, ὦ Παρμενίδη, τῆς γυμνασίας;
οὗτος, εἶπεν, ὅνπερ ἤκουσας Ζήνωνος. πλὴν τοῦτό γέ
However, even when you were speaking to him I was pleased with you, because you would not discuss the doubtful question in terms of visible objects or in relation to them, but only with reference to what we conceive most entirely by the intellect and may call ideas.
Yes, he said, that is because I think that in that way it is quite easy to show that things experience likeness or unlikeness or anything else.
Cephalos Ceph. Quite right, said he, but if you wish to get better training, you must do something more than that;
σου καὶ πρὸς τοῦτον ἠγάσθην εἰπόντος, ὅτι οὐκ εἴας ἐν τοῖς ὁρωμένοις οὐδὲ περὶ ταῦτα τὴν πλάνην ἐπισκοπεῖν, ἀλλὰ περὶ ἐκεῖνα ἃ μάλιστά τις ἂν λόγῳ λάβοι καὶ εἴδη ἂν ἡγήσαιτο εἶναι.
δοκεῖ γάρ μοι, ἔφη, ταύτῃ γε οὐδὲν χαλεπὸν εἶναι καὶ ὅμοια καὶ ἀνόμοια καὶ ἄλλο ὁτιοῦν τὰ ὄντα πάσχοντα ἀποφαίνειν.
καὶ καλῶς γʼ, ἔφη. χρὴ δὲ καὶ τόδε ἔτι πρὸς τούτῳ ποιεῖν, μὴ μόνον εἰ ἔστιν ἕκαστον ὑποτιθέμενον σκοπεῖν τὰ
Cephalos you must consider not only what happens if a particular hypothesis is true, but also what happens if it is not true.
What do you mean? he said.
Take, for instance, he replied, that hypothesis of Zeno’s if the many exist, you should inquire what will happen to the many themselves in relation to themselves and to the one, and to the one in relation to itself and to the many, and also what will happen to the one and the many in relation to themselves and to each other, if the many do not exist.
συμβαίνοντα ἐκ τῆς ὑποθέσεως, ἀλλὰ καὶ εἰ μὴ ἔστι τὸ αὐτὸ τοῦτο ὑποτίθεσθαι, εἰ βούλει μᾶλλον γυμνασθῆναι.
πῶς λέγεις; φάναι.
οἷον, ἔφη, εἰ βούλει, περὶ ταύτης τῆς ὑποθέσεως ἣν Ζήνων ὑπέθετο, εἰ πολλά ἐστι, τί χρὴ συμβαίνειν καὶ αὐτοῖς τοῖς πολλοῖς πρὸς αὑτὰ καὶ πρὸς τὸ ἓν καὶ τῷ ἑνὶ πρός τε αὑτὸ καὶ πρὸς τὰ πολλά· καὶ αὖ εἰ μή ἐστι πολλά, πάλιν σκοπεῖν τί συμβήσεται καὶ τῷ ἑνὶ καὶ τοῖς πολλοῖς καὶ πρὸς
And likewise if you suppose the existence or non-existence of likeness, what will happen to the things supposed and to other things in relation to themselves and to each other under each of the two hypotheses. The same applies to unlikeness and to motion and rest, creation and destruction, and even to being and not being. In brief, whatever the subject of your hypothesis, if you suppose that it is or is not, or that it experiences any other affection, you must consider what happens to it and to any other particular things you may choose, and to a greater number and to all in the same way;
αὑτὰ καὶ πρὸς ἄλληλα· καὶ αὖθις αὖ ἐὰν ὑποθῇ εἰ ἔστιν ὁμοιότης ἢ εἰ μὴ ἔστιν, τί ἐφʼ ἑκατέρας τῆς ὑποθέσεως συμβήσεται καὶ αὐτοῖς τοῖς ὑποτεθεῖσιν καὶ τοῖς ἄλλοις καὶ πρὸς αὑτὰ καὶ πρὸς ἄλληλα. καὶ περὶ ἀνομοίου ὁ αὐτὸς λόγος καὶ περὶ κινήσεως καὶ περὶ στάσεως καὶ περὶ γενέσεως καὶ φθορᾶς καὶ περὶ αὐτοῦ τοῦ εἶναι καὶ τοῦ μὴ εἶναι· καὶ ἑνὶ λόγῳ, περὶ ὅτου ἂν ἀεὶ ὑποθῇ ὡς ὄντος καὶ ὡς οὐκ ὄντος καὶ ὁτιοῦν ἄλλο πάθος πάσχοντος, δεῖ σκοπεῖν τὰ συμβαίνοντα
and you must consider other things in relation to themselves and to anything else you may choose in any instance, whether you suppose that the subject of your hypothesis exists or does not exist, if you are to train yourself completely to see the truth perfectly.
Parmenides, he said, it is a stupendous amount of study which you propose, and I do not understand very well. Why do you not yourself frame an hypothesis and discuss it, to make me understand better?
πρὸς αὑτὸ καὶ πρὸς ἓν ἕκαστον τῶν ἄλλων, ὅτι ἂν προέλῃ, καὶ πρὸς πλείω καὶ πρὸς σύμπαντα ὡσαύτως· καὶ τἆλλα αὖ πρὸς αὑτά τε καὶ πρὸς ἄλλο ὅτι ἂν προαιρῇ ἀεί, ἐάντε ὡς ὂν ὑποθῇ ὃ ὑπετίθεσο, ἄντε ὡς μὴ ὄν, εἰ μέλλεις τελέως γυμνασάμενος κυρίως διόψεσθαι τὸ ἀληθές.
ἀμήχανόν γʼ ἔφη, λέγεις, ὦ Παρμενίδη, πραγματείαν, καὶ οὐ σφόδρα μανθάνω. ἀλλά μοι τί οὐ διῆλθες αὐτὸς ὑποθέμενός τι, ἵνα μᾶλλον καταμάθω;
That is a great task, Socrates, he said, to impose upon a man of my age.
But you, Zeno, said Socrates, why do not you do it for us?
Pythodorus said that Zeno answered with a smile: Let us ask it of Parmenides himself, Socrates; for there is a great deal in what he says, and perhaps you do not see how heavy a task you are imposing upon him. If there were more of us, it would not be fair to ask it of him; for it is not suitable for him to speak on such subjects before many, especially at his age;
πολὺ ἔργον, φάναι, ὦ Σώκρατες, προστάττεις ὡς τηλικῷδε.
ἀλλὰ σύ, εἰπεῖν τὸν Σωκράτη, Ζήνων, τί οὐ διῆλθες ἡμῖν;
καὶ τὸν Ζήνωνα ἔφη γελάσαντα φάναι· αὐτοῦ, ὦ Σώκρατες, δεώμεθα Παρμενίδου· μὴ γὰρ οὐ φαῦλον ᾖ ὃ λέγει. ἢ οὐχ ὁρᾷς ὅσον ἔργον προστάττεις; εἰ μὲν οὖν πλείους ἦμεν, οὐκ ἂν ἄξιον ἦν δεῖσθαι· ἀπρεπῆ γὰρ τὰ τοιαῦτα πολλῶν ἐναντίον λέγειν ἄλλως τε καὶ τηλικούτῳ·
for the many do not know that except by this devious passage through all things the mind cannot attain to the truth. So I, Parmenides, join Socrates in his request, that I myself may hear the method, which I have not heard for a long time.
Antiphon said that Pythodorus told him that when Zeno said this he himself and Antisthenes and the rest begged Parmenides to show his meaning by an example and not to refuse. And Parmenides said: I must perforce do as you ask.
Cephalos Ceph. And yet I feel very much like the horse in the poem of Ibycus —an old race-horse who was entered for a chariot race and was trembling with fear of what was before him, because he knew it by experience. Ibycus says he is compelled to fall in love against his will in his old age, and compares himself to the horse. So I am filled with terror when I remember through what a fearful ocean of words I must swim, old man that I am. However, I will do it, for I must be obliging, especially since we are, as Zeno says, alone.
ἀγνοοῦσιν γὰρ οἱ πολλοὶ ὅτι ἄνευ ταύτης τῆς διὰ πάντων διεξόδου τε καὶ πλάνης ἀδύνατον ἐντυχόντα τῷ ἀληθεῖ νοῦν σχεῖν. ἐγὼ μὲν οὖν, ὦ Παρμενίδη, Σωκράτει συνδέομαι, ἵνα καὶ αὐτὸς διακούσω διὰ χρόνου.
ταῦτα δὴ εἰπόντος τοῦ Ζήνωνος, ἔφη ὁ Ἀντιφῶν φάναι τὸν Πυθόδωρον, αὐτόν τε δεῖσθαι τοῦ Παρμενίδου καὶ τὸν Ἀριστοτέλη καὶ τοὺς ἄλλους, ἐνδείξασθαι ὃ λέγοι καὶ μὴ ἄλλως ποιεῖν. τὸν οὖν Παρμενίδην· ἀνάγκη, φάναι, πείθεσθαι.
Κέφαλος καίτοι δοκῶ μοι τὸ τοῦ Ἰβυκείου ἵππου πεπονθέναι,
Cephalos Well, how shall we begin? What shall be our first hypothesis? Or, since you are determined that I must engage in a laborious pastime, shall I begin with myself, taking my own hypothesis and discussing the consequences of the supposition that the one exists or that it does not exist?
By all means, said Zeno.
Who then, said he, to answer my questions? Shall we say the youngest? He would be least likely to be over-curious and most likely to say what he thinks and moreover his replies would give me a chance to rest.
Κέφαλος ἀρξόμεθα καὶ τί πρῶτον ὑποθησόμεθα; ἢ βούλεσθε, ἐπειδήπερ δοκεῖ πραγματειώδη παιδιὰν παίζειν, ἀπʼ ἐμαυτοῦ ἄρξωμαι καὶ τῆς ἐμαυτοῦ ὑποθέσεως, περὶ τοῦ ἑνὸς αὐτοῦ ὑποθέμενος, εἴτε ἕν ἐστιν εἴτε μὴ ἕν, τί χρὴ συμβαίνειν;
πάνυ μὲν οὖν, φάναι τὸν Ζήνωνα.
τίς οὖν, εἰπεῖν, μοὶ ἀποκρινεῖται; ἢ ὁ νεώτατος; ἥκιστα γὰρ ἂν πολυπραγμονοῖ, καὶ ἃ οἴεται μάλιστα ἂν ἀποκρίνοιτο· καὶ ἅμα ἐμοὶ ἀνάπαυλα ἂν εἴη ἡ ἐκείνου ἀπόκρισις.
I am ready, Parmenides, to do that, said Aristoteles, for I am the youngest, so you mean me. Ask your questions and I will answer.
Well then, said he, if the one exists, the one cannot be many, can it? No, of course not. Then there can be no parts of it, nor can it be a whole. How is that? The part surely is part of a whole. Yes. And what is the whole? Is not a whole that of which no part is wanting?
ἕτοιμός σοι, ὦ Παρμενίδη, φάναι, τοῦτο, τὸν Ἀριστοτέλη· ἐμὲ γὰρ λέγεις τὸν νεώτατον λέγων. ἀλλὰ ἐρώτα ὡς ἀποκρινουμένου.
εἶεν δή, φάναι· εἰ ἕν ἐστιν, ἄλλο τι οὐκ ἂν εἴη πολλὰ τὸ ἕν; πῶς γὰρ ἄν; οὔτε ἄρα μέρος αὐτοῦ οὔτε ὅλον αὐτὸ δεῖ εἶναι. τί δή; τὸ μέρος που ὅλου μέρος ἐστίν. ναί. τί δὲ τὸ ὅλον; οὐχὶ οὗ ἂν μέρος μηδὲν ἀπῇ ὅλον ἂν εἴη; πάνυ γε. ἀμφοτέρως ἄρα τὸ ἓν ἐκ μερῶν ἂν εἴη, ὅλον τε ὂν καὶ μέρη ἔχον. ἀνάγκη. ἀμφοτέρως ἂν ἄρα
Certainly. Then in both cases the one would consist of parts, being a whole and having parts. Inevitably. Then in both cases the one would be many, not one. True. Yet it must be not many, but one. Yes. Then the one, if it is to be one, will not be a whole and will not have parts. No.
And if it has no parts, it can have no beginning, or middle, or end, for those would be parts of it? Quite right. Beginning and end are, however, the limits of everything. Of course. Then the one, if it has neither beginning nor end, is unlimited. Yes, it is unlimited. And it is without form,
οὕτως τὸ ἓν πολλὰ εἴη ἀλλʼ οὐχ ἕν. ἀληθῆ. δεῖ δέ γε μὴ πολλὰ ἀλλʼ ἓν αὐτὸ εἶναι. δεῖ. οὔτʼ ἄρα ὅλον ἔσται οὔτε μέρη ἕξει, εἰ ἓν ἔσται τὸ ἕν. οὐ γάρ.
οὐκοῦν εἰ μηδὲν ἔχει μέρος, οὔτʼ ἂν ἀρχὴν οὔτε τελευτὴν οὔτε μέσον ἔχοι· μέρη γὰρ ἂν ἤδη αὐτοῦ τὰ τοιαῦτα εἴη. ὀρθῶς. καὶ μὴν τελευτή γε καὶ ἀρχὴ πέρας ἑκάστου. πῶς δʼ οὔ; ἄπειρον ἄρα τὸ ἕν, εἰ μήτε ἀρχὴν μήτε τελευτὴν ἔχει. ἄπειρον. καὶ ἄνευ σχήματος ἄρα· οὔτε γὰρ
for it partakes neither of the round nor of the straight. How so? The round, of course, is that of which the extremes are everywhere equally distant from the center. Yes. And the straight, again, is that of which the middle is in the nearest line between the two extremes. It is. Then the one would have parts and would be many, whether it partook of straight or of round form. Certainly. Then it is neither straight nor round, since it has no parts.
στρογγύλου οὔτε εὐθέος μετέχει. πῶς; στρογγύλον γέ πού ἐστι τοῦτο οὗ ἂν τὰ ἔσχατα πανταχῇ ἀπὸ τοῦ μέσου ἴσον ἀπέχῃ. ναί. καὶ μὴν εὐθύ γε, οὗ ἂν τὸ μέσον ἀμφοῖν τοῖν ἐσχάτοιν ἐπίπροσθεν ᾖ. οὕτως. οὐκοῦν μέρη ἂν ἔχοι τὸ ἓν καὶ πολλὰ ἂν εἴη, εἴτε εὐθέος σχήματος εἴτε περιφεροῦς μετέχοι. πάνυ μὲν οὖν. οὔτε ἄρα εὐθὺ οὔτε
Right.
περιφερές ἐστιν, ἐπείπερ οὐδὲ μέρη ἔχει. ὀρθῶς.
καὶ μὴν τοιοῦτόν γε ὂν οὐδαμοῦ ἂν εἴη· οὔτε γὰρ ἐν ἄλλῳ οὔτε ἐν ἑαυτῷ εἴη. πῶς δή; ἐν ἄλλῳ μὲν ὂν κύκλῳ που ἂν περιέχοιτο ὑπʼ ἐκείνου ἐν ᾧ ἐνείη, καὶ πολλαχοῦ ἂν αὐτοῦ ἅπτοιτο πολλοῖς· τοῦ δὲ ἑνός τε καὶ ἀμεροῦς καὶ κύκλου μὴ μετέχοντος ἀδύνατον πολλαχῇ κύκλῳ ἅπτεσθαι. ἀδύνατον. ἀλλὰ μὴν αὐτό γε ἐν ἑαυτῷ ὂν κἂν ἑαυτῷ εἴη περιέχον οὐκ ἄλλο ἢ αὑτό, εἴπερ καὶ ἐν
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