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3460 lines
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Plaintext
3460 lines
100 KiB
Plaintext
370 BC
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PARMENIDES
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by Plato
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translated by Benjamin Jowett
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PARMENIDES
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PERSONS OF THE DIALOGUE: CEPHALUS; ADEIMANTUS; GLAUCON; ANTIPHON;
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PYTHODORUS; SOCRATES; ZENO; PARMENIDES; ARISTOTELES. Cephalus
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rehearses a dialogue which is supposed to have been narrated in his
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presence by Antiphon, the half-brother of Adeimantus and Glaucon, to
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certain Clazomenians.
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We had come from our home at Clazomenae to Athens, and met
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Adeimantus and Glaucon in the Agora. Welcome, Cephalus, said
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Adeimantus, taking me by the hand; is there anything which we can do
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for you in Athens?
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Yes; that is why I am here; I wish to ask a favour of you.
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What may that be? he said.
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I want you to tell me the name of your half brother, which I have
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forgotten; he was a mere child when I last came hither from
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Clazomenae, but that was a long time ago; his father's name, if I
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remember rightly, was Pyrilampes?
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Yes, he said, and the name of our brother, Antiphon; but why do
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you ask?
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Let me introduce some countrymen of mine, I said; they are lovers of
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philosophy, and have heard that Antiphon was intimate with a certain
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Pythodorus, a friend of Zeno, and remembers a conversation which
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took place between Socrates, Zeno, and Parmenides many years ago,
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Pythodorus having often recited it to him.
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Quite true.
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And could we hear it? I asked.
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Nothing easier, he replied; when he was a youth he made a careful
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study of the piece; at present his thoughts run in another
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direction; like his grandfather Antiphon he is devoted to horses. But,
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if that is what you want, let us go and look for him; he dwells at
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Melita, which is quite near, and he has only just left us to go home.
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Accordingly we went to look for him; he was at home, and in the
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act of giving a bridle to a smith to be fitted. When he had done
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with the smith, his brothers told him the purpose of our visit; and he
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saluted me as an acquaintance whom he remembered from my former visit,
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and we asked him to repeat the dialogue. At first he was not very
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willing, and complained of the trouble, but at length he consented. He
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told us that Pythodorus had described to him the appearance of
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Parmenides and Zeno; they came to Athens, as he said, at the great
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Panathenaea; the former was, at the time of his visit, about 65
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years old, very white with age, but well favoured. Zeno was nearly
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40 years of age, tall and fair to look upon; in the days of his
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youth he was reported to have been beloved by Parmenides. He said that
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they lodged with Pythodorus in the Ceramicus, outside the wall,
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whither Socrates, then a very young man, came to see them, and many
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others with him; they wanted to hear the writings of Zeno, which had
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been brought to Athens for the first time on the occasion of their
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visit. These Zeno himself read to them in the absence of Parmenides,
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and had very nearly finished when Pythodorus entered, and with him
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Parmenides and Aristoteles who was afterwards one of the Thirty, and
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heard the little that remained of the dialogue. Pythodorus had heard
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Zeno repeat them before.
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When the recitation was completed, Socrates requested that the first
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thesis of the first argument might be read over again, and this having
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been done, he said: What is your meaning, Zeno? Do you maintain that
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if being is many, it must be both like and unlike, and that this is
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impossible, for neither can the like be unlike, nor the unlike like-is
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that your position?
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Just so, said Zeno.
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And if the unlike cannot be like, or the like unlike, then according
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to you, being could not be many; for this would involve an
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impossibility. In all that you say have you any other purpose except
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to disprove the being of the many? and is not each division of your
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treatise intended to furnish a separate proof of this, there being
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in all as many proofs of the not-being of the many as you have
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composed arguments? Is that your meaning, or have I misunderstood you?
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No, said Zeno; you have correctly understood my general purpose.
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I see, Parmenides, said Socrates, that Zeno would like to be not
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only one with you in friendship but your second self in his writings
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too; he puts what you say in another way, and would fain make
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believe that he is telling us something which is new. For you, in your
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poems, say The All is one, and of this you adduce excellent proofs;
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and he on the other hand says There is no many; and on behalf of
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this he offers overwhelming evidence. You affirm unity, he denies
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plurality. And so you deceive the world into believing that you are
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saying different things when really you are saying much the same. This
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is a strain of art beyond the reach of most of us.
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Yes, Socrates, said Zeno. But although you are as keen as a
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Spartan hound in pursuing the track, you do not fully apprehend the
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true motive of the composition, which is not really such an artificial
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work as you imagine; for what you speak of was an accident; there
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was no pretence of a great purpose; nor any serious intention of
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deceiving the world. The truth is, that these writings of mine were
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meant to protect the arguments of Parmenides against those who make
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fun of him and seek to show the many ridiculous and contradictory
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results which they suppose to follow from the affirmation of the
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one. My answer is addressed to the partisans of the many, whose attack
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I return with interest by retorting upon them that their hypothesis of
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the being of many, if carried out, appears to be still more ridiculous
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than the hypothesis of the being of one. Zeal for my master led me
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to write the book in the days of my youth, but some one stole the
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copy; and therefore I had no choice whether it should be published
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or not; the motive, however, of writing, was not the ambition of an
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elder man, but the pugnacity of a young one. This you do not seem to
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see, Socrates; though in other respects, as I was saying, your
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notion is a very just one.
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I understand, said Socrates, and quite accept your account. But tell
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me, Zeno, do you not further think that there is an idea of likeness
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in itself, and another idea of unlikeness, which is the opposite of
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likeness, and that in these two, you and I and all other things to
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which we apply the term many, participate-things which participate
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in likeness become in that degree and manner like; and so far as
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they participate in unlikeness become in that degree unlike, or both
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like and unlike in the degree in which they participate in both? And
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may not all things partake of both opposites, and be both like and
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unlike, by reason of this participation?-Where is the wonder? Now if a
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person could prove the absolute like to become unlike, or the absolute
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unlike to become like, that, in my opinion, would indeed be a
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wonder; but there is nothing extraordinary, Zeno, in showing that
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the things which only partake of likeness and unlikeness experience
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both. Nor, again, if a person were to show that all is one by
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partaking of one, and at the same time many by partaking of many,
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would that be very astonishing. But if he were to show me that the
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absolute one was many, or the absolute many one, I should be truly
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amazed. And so of all the rest: I should be surprised to hear that the
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natures or ideas themselves had these opposite qualities; but not if a
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person wanted to prove of me that I was many and also one. When he
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wanted to show that I was many he would say that I have a right and
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a left side, and a front and a back, and an upper and a lower half,
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for I cannot deny that I partake of multitude; when, on the other
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hand, he wants to prove that I am one, he will say, that we who are
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here assembled are seven, and that I am one and partake of the one. In
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both instances he proves his case. So again, if a person shows that
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such things as wood, stones, and the like, being many are also one, we
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admit that he shows the coexistence the one and many, but he does
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not show that the many are one or the one many; he is uttering not a
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paradox but a truism. If however, as I just now suggested, some one
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were to abstract simple notions of like, unlike, one, many, rest,
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motion, and similar ideas, and then to show that these admit of
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admixture and separation in themselves, I should be very much
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astonished. This part of the argument appears to be treated by you,
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Zeno, in a very spirited manner; but, as I was saying, I should be far
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more amazed if any one found in the ideas themselves which are
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apprehended by reason, the same puzzle and entanglement which you have
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shown to exist in visible objects.
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While Socrates was speaking, Pythodorus thought that Parmenides
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and Zeno were not altogether pleased at the successive steps of the
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argument; but still they gave the closest attention and often looked
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at one another, and smiled as if in admiration of him. When he had
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finished, Parmenides expressed their feelings in the following words:-
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Socrates, he said, I admire the bent of your mind towards
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philosophy; tell me now, was this your own distinction between ideas
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in themselves and the things which partake of them? and do you think
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that there is an idea of likeness apart from the likeness which we
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possess, and of the one and many, and of the other things which Zeno
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mentioned?
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I think that there are such ideas, said Socrates.
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Parmenides proceeded: And would you also make absolute ideas of
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the just and the beautiful and the good, and of all that class?
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Yes, he said, I should.
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And would you make an idea of man apart from us and from all other
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human creatures, or of fire and water?
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I am often undecided, Parmenides, as to whether I ought to include
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them or not.
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And would you feel equally undecided, Socrates, about things of
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which the mention may provoke a smile?-I mean such things as hair,
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mud, dirt, or anything else which is vile and paltry; would you
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suppose that each of these has an idea distinct from the actual
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objects with which we come into contact, or not?
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Certainly not, said Socrates; visible things like these are such
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as they appear to us, and I am afraid that there would be an absurdity
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in assuming any idea of them, although I sometimes get disturbed,
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and begin to think that there is nothing without an idea; but then
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again, when I have taken up this position, I run away, because I am
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afraid that I may fall into a bottomless pit of nonsense, and
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perish; and so I return to the ideas of which I was just now speaking,
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and occupy myself with them.
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Yes, Socrates, said Parmenides; that is because you are still young;
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the time will come, if I am not mistaken, when philosophy will have
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a firmer grasp of you, and then you will not despise even the
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meanest things; at your age, you are too much disposed to regard
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opinions of men. But I should like to know whether you mean that there
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are certain ideas of which all other things partake, and from which
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they derive their names; that similars, for example, become similar,
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because they partake of similarity; and great things become great,
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because they partake of greatness; and that just and beautiful
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things become just and beautiful, because they partake of justice
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and beauty?
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Yes, certainly, said Socrates that is my meaning.
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Then each individual partakes either of the whole of the idea or
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else of a part of the idea? Can there be any other mode of
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participation?
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There cannot be, he said.
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Then do you think that the whole idea is one, and yet, being one, is
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in each one of the many?
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Why not, Parmenides? said Socrates.
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Because one and the same thing will exist as a whole at the same
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time in many separate individuals, and will therefore be in a state of
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separation from itself.
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Nay, but the idea may be like the day which is one and the same in
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many places at once, and yet continuous with itself; in this way
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each idea may be one; and the same in all at the same time.
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I like your way, Socrates, of making one in many places at once. You
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mean to say, that if I were to spread out a sail and cover a number of
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men, there would be one whole including many-is not that your meaning?
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I think so.
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And would you say that the whole sail includes each man, or a part
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of it only, and different parts different men?
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The latter.
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Then, Socrates, the ideas themselves will be divisible, and things
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which participate in them will have a part of them only and not the
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whole idea existing in each of them?
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That seems to follow.
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Then would you like to say, Socrates, that the one idea is really
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divisible and yet remains one?
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Certainly not, he said.
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Suppose that you divide absolute greatness, and that of the many
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great things, each one is great in virtue of a portion of greatness
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less than absolute greatness-is that conceivable?
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No.
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Or will each equal thing, if possessing some small portion of
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equality less than absolute equality, be equal to some other thing
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by virtue of that portion only?
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Impossible.
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Or suppose one of us to have a portion of smallness; this is but a
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part of the small, and therefore the absolutely small is greater; if
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the absolutely small be greater, that to which the part of the small
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is added will be smaller and not greater than before.
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How absurd!
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Then in what way, Socrates, will all things participate in the
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ideas, if they are unable to participate in them either as parts or
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wholes?
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Indeed, he said, you have asked a question which is not easily
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answered.
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Well, said Parmenides, and what do you say of another question?
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What question?
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I imagine that the way in which you are led to assume one idea of
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each kind is as follows: -You see a number of great objects, and
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when you look at them there seems to you to be one and the same idea
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(or nature) in them all; hence you conceive of greatness as one.
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Very true, said Socrates.
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And if you go on and allow your mind in like manner to embrace in
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one view the idea of greatness and of great things which are not the
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idea, and -to compare them, will not another greatness arise, which
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will appear to be the source of all these?
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It would seem so.
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Then another idea of greatness now comes into view over and above
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absolute greatness, and the individuals which partake of it; and
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then another, over and above all these, by virtue of which they will
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all be great, and so each idea instead of being one will be infinitely
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multiplied.
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But may not the ideas, asked Socrates, be thoughts only, and have no
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proper existence except in our minds, Parmenides? For in that case
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each idea may still be one, and not experience this infinite
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multiplication.
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And can there be individual thoughts which are thoughts of nothing?
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Impossible, he said.
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The thought must be of something?
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Yes.
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Of something which is or which is not?
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Of something which is.
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Must it not be of a single something, which the thought recognizes
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as attaching to all, being a single form or nature?
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Yes.
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And will not the something which is apprehended as one and the
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same in all, be an idea?
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From that, again, there is no escape.
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Then, said Parmenides, if you say that everything else
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participates in the ideas, must you not say either that everything
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is made up of thoughts, and that all things think; or that they are
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thoughts but have no thought?
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The latter view, Parmenides, is no more rational than the previous
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one. In my opinion, the ideas are, as it were, patterns fixed in
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nature, and other things are like them, and resemblances of
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them-what is meant by the participation of other things in the
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ideas, is really assimilation to them.
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But if, said he, the individual is like the idea, must not the
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idea also be like the individual, in so far as the individual is a
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resemblance of the idea? That which is like, cannot be conceived of as
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other than the like of like.
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Impossible.
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And when two things are alike, must they not partake of the same
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idea?
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They must.
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And will not that of which the two partake, and which makes them
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alike, be the idea itself?
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Certainly.
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Then the idea cannot be like the individual, or the individual
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like the idea; for if they are alike, some further idea of likeness
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will always be coming to light, and if that be like anything else,
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another; and new ideas will be always arising, if the idea resembles
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that which partakes of it?
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Quite true.
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The theory, then that other things participate in the ideas by
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resemblance, has to be given up, and some other mode of
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participation devised?
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It would seem so.
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Do you see then, Socrates, how great is the difficulty of
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affirming the ideas to be absolute?
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Yes, indeed.
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And, further, let me say that as yet you only understand a small
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part of the difficulty which is involved if you make of each thing a
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single idea, parting it off from other things.
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What difficulty? he said.
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There are many, but the greatest of all is this:-If an opponent
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argues that these ideas, being such as we say they ought to be, must
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remain unknown, no one can prove to him that he is wrong, unless he
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who denies their existence be a man of great ability and knowledge,
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and is willing to follow a long and laborious demonstration; he will
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remain unconvinced, and still insist that they cannot be known.
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What do you mean, Parmenides? said Socrates.
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In the first place, I think, Socrates, that you, or any one who
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maintains the existence of absolute essences, will admit that they
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cannot exist in us.
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No, said Socrates; for then they would be no longer absolute.
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True, he said; and therefore when ideas are what they are in
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relation to one another, their essence is determined by a relation
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among themselves, and has nothing to do with the resemblances, or
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whatever they are to be termed, which are in our sphere, and from
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which we receive this or that name when we partake of them. And the
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things which are within our sphere and have the same names with
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them, are likewise only relative to one another, and not to the
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ideas which have the same names with them, but belong to themselves
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and not to them.
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What do you mean? said Socrates.
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I may illustrate my meaning in this way, said Parmenides:-A master
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has a slave; now there is nothing absolute in the relation between
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them, which is simply a relation of one man to another. But there is
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also an idea of mastership in the abstract, which is relative to the
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idea of slavery in the abstract. These natures have nothing to do with
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us, nor we with them; they are concerned with themselves only, and
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we with ourselves. Do you see my meaning?
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Yes, said Socrates, I quite see your meaning.
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And will not knowledge-I mean absolute knowledge-answer to
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absolute truth?
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Certainly.
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And each kind of absolute knowledge will answer to each kind of
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absolute being?
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Yes.
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But the knowledge which we have, will answer to the truth which we
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have; and again, each kind of knowledge which we have, will be a
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knowledge of each kind of being which we have?
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Certainly.
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But the ideas themselves, as you admit, we have not, and cannot
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have?
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No, we cannot.
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And the absolute natures or kinds are known severally by the
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absolute idea of knowledge?
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Yes.
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And we have not got the idea of knowledge?
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No.
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Then none of the ideas are known to us, because we have no share
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in absolute knowledge?
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I suppose not.
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Then the nature of the beautiful in itself, and of the good in
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itself, and all other ideas which we suppose to exist absolutely,
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are unknown to us?
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It would seem so.
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I think that there is a stranger consequence still.
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What is it?
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Would you, or would you not say, that absolute knowledge, if there
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is such a thing, must be a far more exact knowledge than our
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knowledge; and the same of beauty and of the rest?
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Yes.
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And if there be such a thing as participation in absolute knowledge,
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no one is more likely than God to have this most exact knowledge?
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Certainly.
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But then, will God, having absolute knowledge, have a knowledge of
|
|
human things?
|
|
|
|
Why not?
|
|
|
|
Because, Socrates, said Parmenides, we have admitted that the
|
|
ideas are not valid in relation to human things; nor human things in
|
|
relation to them; the relations of either are limited to their
|
|
respective spheres.
|
|
|
|
Yes, that has been admitted.
|
|
|
|
And if God has this perfect authority, and perfect knowledge, his
|
|
authority cannot rule us, nor his knowledge know us, or any human
|
|
thing; just as our authority does not extend to the gods, nor our
|
|
knowledge know anything which is divine, so by parity of reason
|
|
they, being gods, are not our masters, neither do they know the things
|
|
of men.
|
|
|
|
Yet, surely, said Socrates, to deprive God of knowledge is
|
|
monstrous.
|
|
|
|
These, Socrates, said Parmenides, are a few, and only a few of the
|
|
difficulties in which we are involved if ideas really are and we
|
|
determine each one of them to be an absolute unity. He who hears
|
|
what may be said against them will deny the very existence of them-and
|
|
even if they do exist, he will say that they must of necessity be
|
|
unknown to man; and he will seem to have reason on his side, and as we
|
|
were remarking just now, will be very difficult to convince; a man
|
|
must be gifted with very considerable ability before he can learn that
|
|
everything has a class and an absolute essence; and still more
|
|
remarkable will he be who discovers all these things for himself,
|
|
and having thoroughly investigated them is able to teach them to
|
|
others.
|
|
|
|
I agree with you, Parmenides, said Socrates; and what you say is
|
|
very much to my mind.
|
|
|
|
And yet, Socrates, said Parmenides, if a man, fixing his attention
|
|
on these and the like difficulties, does away with ideas of things and
|
|
will not admit that every individual thing has its own determinate
|
|
idea which is always one and the same, he will have nothing on which
|
|
his mind can rest; and so he will utterly destroy the power of
|
|
reasoning, as you seem to me to have particularly noted.
|
|
|
|
Very true, he said.
|
|
|
|
But, then, what is to become of philosophy? Whither shall we turn,
|
|
if the ideas are unknown?
|
|
|
|
I certainly do not see my way at present.
|
|
|
|
Yes, said Parmenides; and I think that this arises, Socrates, out of
|
|
your attempting to define the beautiful, the just, the good, and the
|
|
ideas generally, without sufficient previous training. I noticed
|
|
your deficiency, when I heard you talking here with your friend
|
|
Aristoteles, the day before yesterday. The impulse that carries you
|
|
towards philosophy is assuredly noble and divine; but there is an
|
|
art which is called by the vulgar idle talking, and which is of
|
|
imagined to be useless; in that you must train and exercise
|
|
yourself, now that you are young, or truth will elude your grasp.
|
|
|
|
And what is the nature of this exercise, Parmenides, which you would
|
|
recommend?
|
|
|
|
That which you heard Zeno practising; at the same time, I give you
|
|
credit for saying to him that you did not care to examine the
|
|
perplexity in reference to visible things, or to consider the question
|
|
that way; but only in reference to objects of thought, and to what may
|
|
be called ideas.
|
|
|
|
Why, yes, he said, there appears to me to be no difficulty in
|
|
showing by this method that visible things are like and unlike and may
|
|
experience anything.
|
|
|
|
Quite true, said Parmenides; but I think that you should go a step
|
|
further, and consider not only the consequences which flow from a
|
|
given hypothesis, but also the consequences which flow from denying
|
|
the hypothesis; and that will be still better training for you.
|
|
|
|
What do you mean? he said.
|
|
|
|
I mean, for example, that in the case of this very hypothesis of
|
|
Zeno's about the many, you should inquire not only what will be the
|
|
consequences to the many in relation to themselves and to the one, and
|
|
to the one in relation to itself and the many, on the hypothesis of
|
|
the being of the many, but also what will be the consequences to the
|
|
one and the many in their relation to themselves and to each other, on
|
|
the opposite hypothesis. Or, again, if likeness is or is not, what
|
|
will be the consequences in either of these cases to the subjects of
|
|
the hypothesis, and to other things, in relation both to themselves
|
|
and to one another, and so of unlikeness; and the same holds good of
|
|
motion and rest, of generation and destruction, and even of being
|
|
and not-being. In a word, when you suppose anything to be or not to
|
|
be, or to be in any way affected, you must look at the consequences in
|
|
relation to the thing itself, and to any other things which you
|
|
choose-to each of them singly, to more than one, and to all; and so of
|
|
other things, you must look at them in relation to themselves and to
|
|
anything else which you suppose either to be or not to be, if you
|
|
would train yourself perfectly and see the real truth.
|
|
|
|
That, Parmenides, is a tremendous business of which you speak, and I
|
|
do not quite understand you; will you take some hypothesis and go
|
|
through the steps?-then I shall apprehend you better.
|
|
|
|
That, Socrates, is a serious task to impose on a man of my years.
|
|
|
|
Then will you, Zeno? said Socrates.
|
|
|
|
Zeno answered with a smile:-Let us make our petition to Parmenides
|
|
himself, who is quite right in saying that you are hardly aware of the
|
|
extent of the task which you are imposing on him; and if there were
|
|
more of us I should not ask him, for these are not subjects which
|
|
any one, especially at his age, can well speak of before a large
|
|
audience; most people are not aware that this round-about progress
|
|
through all things is the only way in which the mind can attain
|
|
truth and wisdom. And therefore, Parmenides, I join in the request
|
|
of Socrates, that I may hear the process again which I have not
|
|
heard for a long time.
|
|
|
|
When Zeno had thus spoken, Pythodorus, according to Antiphon's
|
|
report of him, said, that he himself and Aristoteles and the whole
|
|
company entreated Parmenides to give an example of the process. I
|
|
cannot refuse, said Parmenides; and yet I feel rather like Ibycus,
|
|
who, when in his old age, against his will, he fell in love,
|
|
compared himself to an old racehorse, who was about to run in a
|
|
chariot race, shaking with fear at the course he knew so well-this was
|
|
his simile of himself. And I also experience a trembling when I
|
|
remember through what an ocean of words I have to wade at my time of
|
|
life. But I must indulge you, as Zeno says that I ought, and we are
|
|
alone. Where shall I begin? And what shall be our first hypothesis, if
|
|
I am to attempt this laborious pastime? Shall I begin with myself, and
|
|
take my own hypothesis the one? and consider the consequences which
|
|
follow on the supposition either of the being or of the not being of
|
|
one?
|
|
|
|
By all means, said Zeno.
|
|
|
|
And who will answer me? he said. Shall I propose the youngest? He
|
|
will not make difficulties and will be the most likely to say what
|
|
he thinks; and his answers will give me time to breathe.
|
|
|
|
I am the one whom you mean, Parmenides, said Aristoteles; for I am
|
|
the youngest and at your service. Ask, and I will answer.
|
|
|
|
Parmenides proceeded: If one is, he said, the one cannot be many?
|
|
|
|
Impossible.
|
|
|
|
Then the one cannot have parts, and cannot be a whole?
|
|
|
|
Why not?
|
|
|
|
Because every part is part of a whole; is it not?
|
|
|
|
Yes.
|
|
|
|
And what is a whole? would not that of which no part is wanting be a
|
|
whole?
|
|
|
|
Certainly.
|
|
|
|
Then, in either case, the one would be made up of parts; both as
|
|
being a whole, and also as having parts?
|
|
|
|
To be sure.
|
|
|
|
And in either case, the one would be many, and not one?
|
|
|
|
True.
|
|
|
|
But, surely, it ought to be one and not many?
|
|
|
|
It ought.
|
|
|
|
Then, if the one is to remain one, it will not be a whole, and
|
|
will not have parts?
|
|
|
|
No.
|
|
|
|
But if it has no parts, it will have neither beginning, middle,
|
|
nor end; for these would of course be parts of it.
|
|
|
|
Right.
|
|
|
|
But then, again, a beginning and an end are the limits of
|
|
everything?
|
|
|
|
Certainly.
|
|
|
|
Then the one, having neither beginning nor end, is unlimited?
|
|
|
|
Yes, unlimited.
|
|
|
|
And therefore formless; for it cannot partake either of round or
|
|
straight.
|
|
|
|
But why?
|
|
|
|
Why, because the round is that of which all the extreme points are
|
|
equidistant from the centre?
|
|
|
|
Yes.
|
|
|
|
And the straight is that of which the centre intercepts the view
|
|
of the extremes?
|
|
|
|
True.
|
|
|
|
Then the one would have parts and would be many, if it partook
|
|
either of a straight or of a circular form?
|
|
|
|
Assuredly.
|
|
|
|
But having no parts, it will be neither straight nor round?
|
|
|
|
Right.
|
|
|
|
And, being of such a nature, it cannot be in any place, for it
|
|
cannot be either in another or in itself.
|
|
|
|
How so?
|
|
|
|
Because if it were in another, it would be encircled by that in
|
|
which it was, and would touch it at many places and with many parts;
|
|
but that which is one and indivisible, and does not partake of a
|
|
circular nature, cannot be touched all round in many places.
|
|
|
|
Certainly not.
|
|
|
|
But if, on the other hand, one were in itself, it would also be
|
|
contained by nothing else but itself; that is to say, if it were
|
|
really in itself; for nothing can be in anything which does not
|
|
contain it.
|
|
|
|
Impossible.
|
|
|
|
But then, that which contains must be other than that which is
|
|
contained? for the same whole cannot do and suffer both at once; and
|
|
if so, one will be no longer one, but two?
|
|
|
|
True.
|
|
|
|
Then one cannot be anywhere, either in itself or in another?
|
|
|
|
No.
|
|
|
|
Further consider, whether that which is of such a nature can have
|
|
either rest or motion.
|
|
|
|
Why not?
|
|
|
|
Why, because the one, if it were moved, would be either moved in
|
|
place or changed in nature; for these are the only kinds of motion.
|
|
|
|
Yes.
|
|
|
|
And the one, when it changes and ceases to be itself, cannot be
|
|
any longer one.
|
|
|
|
It cannot.
|
|
|
|
It cannot therefore experience the sort of motion which is change of
|
|
nature?
|
|
|
|
Clearly not.
|
|
|
|
Then can the motion of the one be in place?
|
|
|
|
Perhaps.
|
|
|
|
But if the one moved in place, must it not either move round and
|
|
round in the same place, or from one place to another?
|
|
|
|
It must.
|
|
|
|
And that which moves in a circle must rest upon a centre; and that
|
|
which goes round upon a centre must have parts which are different
|
|
from the centre; but that which has no centre and no parts cannot
|
|
possibly be carried round upon a centre?
|
|
|
|
Impossible.
|
|
|
|
But perhaps the motion of the one consists in change of place?
|
|
|
|
Perhaps so, if it moves at all.
|
|
|
|
And have we not already shown that it cannot be in anything?
|
|
|
|
Yes.
|
|
|
|
Then its coming into being in anything is still more impossible;
|
|
is it not?
|
|
|
|
I do not see why.
|
|
|
|
Why, because anything which comes into being in anything, can
|
|
neither as yet be in that other thing while still coming into being,
|
|
nor be altogether out of it, if already coming into being in it.
|
|
|
|
Certainly not.
|
|
|
|
And therefore whatever comes into being in another must have
|
|
parts, and then one part may be in, and another part out of that
|
|
other; but that which has no parts can never be at one and the same
|
|
time neither wholly within nor wholly without anything.
|
|
|
|
True.
|
|
|
|
And is there not a still greater impossibility in that which has
|
|
no parts, and is not a whole, coming into being anywhere, since it
|
|
cannot come into being either as a part or as a whole?
|
|
|
|
Clearly.
|
|
|
|
Then it does not change place by revolving in the same spot, not
|
|
by going somewhere and coming into being in something; nor again, by
|
|
change in itself?
|
|
|
|
Very true.
|
|
|
|
Then in respect of any kind of motion the one is immoveable?
|
|
|
|
Immoveable.
|
|
|
|
But neither can the one be in anything, as we affirm.
|
|
|
|
Yes, we said so.
|
|
|
|
Then it is never in the same?
|
|
|
|
Why not?
|
|
|
|
Because if it were in the same it would be in something.
|
|
|
|
Certainly.
|
|
|
|
And we said that it could not be in itself, and could not be in
|
|
other?
|
|
|
|
True.
|
|
|
|
Then one is never in the same place?
|
|
|
|
It would seem not.
|
|
|
|
But that which is never in the same place is never quiet or at rest?
|
|
|
|
Never.
|
|
|
|
One then, as would seem, is neither rest nor in motion?
|
|
|
|
It certainly appears so.
|
|
|
|
Neither will it be the same with itself or other; nor again, other
|
|
than itself or other.
|
|
|
|
How is that?
|
|
|
|
If other than itself it would be other than one, and would not be
|
|
one.
|
|
|
|
True.
|
|
|
|
And if the same with other, it would be that other, and not
|
|
itself; so that upon this supposition too, it would not have the
|
|
nature of one, but would be other than one?
|
|
|
|
It would.
|
|
|
|
Then it will not be the same with other, or other than itself?
|
|
|
|
It will not.
|
|
|
|
Neither will it be other than other, while it remains one; for not
|
|
one, but only other, can be other than other, and nothing else.
|
|
|
|
True.
|
|
|
|
Then not by virtue of being one will it be other?
|
|
|
|
Certainly not.
|
|
|
|
But if not by virtue of being one, not by virtue of itself; and if
|
|
not by virtue of itself, not itself, and itself not being other at
|
|
all, will not be other than anything?
|
|
|
|
Right.
|
|
|
|
Neither will one be the same with itself.
|
|
|
|
How not?
|
|
|
|
Surely the nature of the one is not the nature of the same.
|
|
|
|
Why not?
|
|
|
|
It is not when anything becomes the same with anything that it
|
|
becomes one.
|
|
|
|
What of that?
|
|
|
|
Anything which becomes the same with the many, necessarily becomes
|
|
many and not one.
|
|
|
|
True.
|
|
|
|
But, if there were no difference between the one and the same,
|
|
when a thing became the same, it would always become one; and when
|
|
it became one, the same?
|
|
|
|
Certainly.
|
|
|
|
And, therefore, if one be the same with itself, it is not one with
|
|
itself, and will therefore be one and also not one.
|
|
|
|
Surely that is impossible.
|
|
|
|
And therefore the one can neither be other than other, nor the
|
|
same with itself.
|
|
|
|
Impossible.
|
|
|
|
And thus the one can neither be the same, nor other, either in
|
|
relation to itself or other?
|
|
|
|
No.
|
|
|
|
Neither will the one be like anything or unlike itself or other.
|
|
|
|
Why not?
|
|
|
|
Because likeness is sameness of affections.
|
|
|
|
Yes.
|
|
|
|
And sameness has been shown to be of a nature distinct from oneness?
|
|
|
|
That has been shown.
|
|
|
|
But if the one had any other affection than that of being one, it
|
|
would be affected in such a way as to be more than one; which is
|
|
impossible.
|
|
|
|
True.
|
|
|
|
Then the one can never be so affected as to be the same either
|
|
with another or with itself?
|
|
|
|
Clearly not.
|
|
|
|
Then it cannot be like another, or like itself?
|
|
|
|
No.
|
|
|
|
Nor can it be affected so as to be other, for then it would be
|
|
affected in such a way as to be more than one.
|
|
|
|
It would.
|
|
|
|
That which is affected otherwise than itself or another, will be
|
|
unlike itself or another, for sameness of affections is likeness.
|
|
|
|
True.
|
|
|
|
But the one, as appears, never being affected otherwise, is never
|
|
unlike itself or other?
|
|
|
|
Never.
|
|
|
|
Then the one will never be either like or unlike itself or other?
|
|
|
|
Plainly not.
|
|
|
|
Again, being of this nature, it can neither be equal nor unequal
|
|
either to itself or to other.
|
|
|
|
How is that?
|
|
|
|
Why, because the one if equal must be of the same measures as that
|
|
to which it is equal.
|
|
|
|
True.
|
|
|
|
And if greater or less than things which are commensurable with
|
|
it, the one will have more measures than that which is less, and fewer
|
|
than that which is greater?
|
|
|
|
Yes.
|
|
|
|
And so of things which are not commensurate with it, the one will
|
|
have greater measures than that which is less and smaller than that
|
|
which is greater.
|
|
|
|
Certainly.
|
|
|
|
But how can that which does not partake of sameness, have either the
|
|
same measures or have anything else the same?
|
|
|
|
Impossible.
|
|
|
|
And not having the same measures, the one cannot be equal either
|
|
with itself or with another?
|
|
|
|
It appears so.
|
|
|
|
But again, whether it have fewer or more measures, it will have as
|
|
many parts as it has measures; and thus again the one will be no
|
|
longer one but will have as many parts as measures.
|
|
|
|
Right.
|
|
|
|
And if it were of one measure, it would be equal to that measure;
|
|
yet it has been shown to be incapable of equality.
|
|
|
|
It has.
|
|
|
|
Then it will neither partake of one measure, nor of many, nor of
|
|
few, nor of the same at all, nor be equal to itself or another; nor be
|
|
greater or less than itself, or other?
|
|
|
|
Certainly.
|
|
|
|
Well, and do we suppose that one can be older, or younger than
|
|
anything, or of the same age with it?
|
|
|
|
Why not?
|
|
|
|
Why, because that which is of the same age with itself or other,
|
|
must partake of equality or likeness of time; and we said that the one
|
|
did not partake either of equality or of likeness?
|
|
|
|
We did say so.
|
|
|
|
And we also said, that it did not partake of inequality or
|
|
unlikeness.
|
|
|
|
Very true.
|
|
|
|
How then can one, being of this nature, be either older or younger
|
|
than anything, or have the same age with it?
|
|
|
|
In no way.
|
|
|
|
Then one cannot be older or younger, or of the same age, either with
|
|
itself or with another?
|
|
|
|
Clearly not.
|
|
|
|
Then the one, being of this nature, cannot be in time at all; for
|
|
must not that which is in time, be always growing older than itself?
|
|
|
|
Certainly.
|
|
|
|
And that which is older, must always be older than something which
|
|
is younger?
|
|
|
|
True.
|
|
|
|
Then, that which becomes older than itself, also becomes at the same
|
|
time younger than itself, if it is to have something to become older
|
|
than.
|
|
|
|
What do you mean?
|
|
|
|
I mean this:-A thing does not need to become different from
|
|
another thing which is already different; it is different, and if
|
|
its different has become, it has become different; if its different
|
|
will be, it will be different; but of that which is becoming
|
|
different, there cannot have been, or be about to be, or yet be, a
|
|
different-the only different possible is one which is becoming.
|
|
|
|
That is inevitable.
|
|
|
|
But, surely, the elder is a difference relative to the younger,
|
|
and to nothing else.
|
|
|
|
True.
|
|
|
|
Then that which becomes older than itself must also, at the same
|
|
time, become younger than itself?
|
|
|
|
Yes.
|
|
|
|
But again, it is true that it cannot become for a longer or for a
|
|
shorter time than itself, but it must become, and be, and have become,
|
|
and be about to be, for the same time with itself?
|
|
|
|
That again is inevitable.
|
|
|
|
Then things which are in time, and partake of time, must in every
|
|
case, I suppose, be of the same age with themselves; and must also
|
|
become at once older and younger than themselves?
|
|
|
|
Yes.
|
|
|
|
But the one did not partake of those affections?
|
|
|
|
Not at all.
|
|
|
|
Then it does not partake of time, and is not in any time?
|
|
|
|
So the argument shows.
|
|
|
|
Well, but do not the expressions "was," and "has become," and "was
|
|
becoming," signify a participation of past time?
|
|
|
|
Certainly.
|
|
|
|
And do not "will be," "will become," "will have become," signify a
|
|
participation of future time?
|
|
|
|
Yes.
|
|
|
|
And "is," or "becomes," signifies a participation of present time?
|
|
|
|
Certainly.
|
|
|
|
And if the one is absolutely without participation in time, it never
|
|
had become, or was becoming, or was at any time, or is now become or
|
|
is becoming, or is, or will become, or will have become, or will be,
|
|
hereafter.
|
|
|
|
Most true.
|
|
|
|
But are there any modes of partaking of being other than these?
|
|
|
|
There are none.
|
|
|
|
Then the one cannot possibly partake of being?
|
|
|
|
That is the inference.
|
|
|
|
Then the one is not at all?
|
|
|
|
Clearly not.
|
|
|
|
Then the one does not exist in such way as to be one; for if it were
|
|
and partook of being, it would already be; but if the argument is to
|
|
be trusted, the one neither is nor is one?
|
|
|
|
True.
|
|
|
|
But that which is not admits of no attribute or relation?
|
|
|
|
Of course not.
|
|
|
|
Then there is no name, nor expression, nor perception, nor
|
|
opinion, nor knowledge of it?
|
|
|
|
Clearly not.
|
|
|
|
Then it is neither named, nor expressed, nor opined, nor known,
|
|
nor does anything that is perceive it.
|
|
|
|
So we must infer.
|
|
|
|
But can all this be true about the one?
|
|
|
|
I think not.
|
|
|
|
Suppose, now, that we return once more to the original hypothesis;
|
|
let us see whether, on a further review, any new aspect of the
|
|
question appears.
|
|
|
|
I shall be very happy to do so.
|
|
|
|
We say that we have to work out together all the consequences,
|
|
whatever they may be, which follow, if the one is?
|
|
|
|
Yes.
|
|
|
|
Then we will begin at the beginning:-If one is, can one be, and
|
|
not partake of being?
|
|
|
|
Impossible.
|
|
|
|
Then the one will have being, but its being will not be the same
|
|
with the one; for if the same, it would not be the being of the one;
|
|
nor would the one have participated in being, for the proposition that
|
|
one is would have been identical with the proposition that one is one;
|
|
but our hypothesis is not if one is one, what will follow, but if
|
|
one is:-am I not right?
|
|
|
|
Quite right.
|
|
|
|
We mean to say, that being has not the same significance as one?
|
|
|
|
Of course.
|
|
|
|
And when we put them together shortly, and say "One is," that is
|
|
equivalent to saying, "partakes of being"?
|
|
|
|
Quite true.
|
|
|
|
Once more then let us ask, if one is what will follow. Does not this
|
|
hypothesis necessarily imply that one is of such a nature as to have
|
|
parts?
|
|
|
|
How so?
|
|
|
|
In this way:-If being is predicated of the one, if the one is, and
|
|
one of being, if being is one; and if being and one are not the
|
|
same; and since the one, which we have assumed, is, must not the
|
|
whole, if it is one, itself be, and have for its parts, one and being?
|
|
|
|
Certainly.
|
|
|
|
And is each of these parts-one and being to be simply called a part,
|
|
or must the word "part" be relative to the word "whole"?
|
|
|
|
The latter.
|
|
|
|
Then that which is one is both a whole and has a part?
|
|
|
|
Certainly.
|
|
|
|
Again, of the parts of the one, if it is-I mean being and one-does
|
|
either fail to imply the other? is the one wanting to being, or
|
|
being to the one?
|
|
|
|
Impossible.
|
|
|
|
Thus, each of the parts also has in turn both one and being, and
|
|
is at the least made up of two parts; and the same principle goes on
|
|
for ever, and every part whatever has always these two parts; for
|
|
being always involves one, and one being; so that one is always
|
|
disappearing, and becoming two.
|
|
|
|
Certainly.
|
|
|
|
And so the one, if it is, must be infinite in multiplicity?
|
|
|
|
Clearly.
|
|
|
|
Let us take another direction.
|
|
|
|
What direction?
|
|
|
|
We say that the one partakes of being and therefore it is?
|
|
|
|
Yes.
|
|
|
|
And in this way, the one, if it has being, has turned out to be
|
|
many?
|
|
|
|
True.
|
|
|
|
But now, let us abstract the one which, as we say, partakes of
|
|
being, and try to imagine it apart from that of which, as we say, it
|
|
partakes-will this abstract one be one only or many?
|
|
|
|
One, I think.
|
|
|
|
Let us see:-Must not the being of one be other than one? for the one
|
|
is not being, but, considered as one, only partook of being?
|
|
|
|
Certainly.
|
|
|
|
If being and the one be two different things, it is not because
|
|
the one is one that it is other than being; nor because being is being
|
|
that it is other than the one; but they differ from one another in
|
|
virtue of otherness and difference.
|
|
|
|
Certainly.
|
|
|
|
So that the other is not the same either with the one or with being?
|
|
|
|
Certainly not.
|
|
|
|
And therefore whether we take being and the other, or being and
|
|
the one, or the one and the other, in every such case we take two
|
|
things, which may be rightly called both.
|
|
|
|
How so.
|
|
|
|
In this way-you may speak of being?
|
|
|
|
Yes.
|
|
|
|
And also of one?
|
|
|
|
Yes.
|
|
|
|
Then now we have spoken of either of them?
|
|
|
|
Yes.
|
|
|
|
Well, and when I speak of being and one, I speak of them both?
|
|
|
|
Certainly.
|
|
|
|
And if I speak of being and the other, or of the one and the
|
|
other-in any such case do I not speak of both?
|
|
|
|
Yes.
|
|
|
|
And must not that which is correctly called both, be also two?
|
|
|
|
Undoubtedly.
|
|
|
|
And of two things how can either by any possibility not be one?
|
|
|
|
It cannot.
|
|
|
|
Then, if the individuals of the pair are together two, they must
|
|
be severally one?
|
|
|
|
Clearly.
|
|
|
|
And if each of them is one, then by the addition of any one to any
|
|
pair, the whole becomes three?
|
|
|
|
Yes.
|
|
|
|
And three are odd, and two are even?
|
|
|
|
Of course.
|
|
|
|
And if there are two there must also be twice, and if there are
|
|
three there must be thrice; that is, if twice one makes two, and
|
|
thrice one three?
|
|
|
|
Certainly.
|
|
|
|
There are two, and twice, and therefore there must be twice two; and
|
|
there are three, and there is thrice, and therefore there must be
|
|
thrice three?
|
|
|
|
Of course.
|
|
|
|
If there are three and twice, there is twice three; and if there are
|
|
two and thrice, there is thrice two?
|
|
|
|
Undoubtedly.
|
|
|
|
Here, then, we have even taken even times, and odd taken odd
|
|
times, and even taken odd times, and odd taken even times.
|
|
|
|
True.
|
|
|
|
And if this is so, does any number remain which has no necessity
|
|
to be?
|
|
|
|
None whatever.
|
|
|
|
Then if one is, number must also be?
|
|
|
|
It must.
|
|
|
|
But if there is number, there must also be many, and infinite
|
|
multiplicity of being; for number is infinite in multiplicity, and
|
|
partakes also of being: am I not right?
|
|
|
|
Certainly.
|
|
|
|
And if all number participates in being, every part of number will
|
|
also participate?
|
|
|
|
Yes.
|
|
|
|
Then being is distributed over the whole multitude of things, and
|
|
nothing that is, however small or however great, is devoid of it? And,
|
|
indeed, the very supposition of this is absurd, for how can that which
|
|
is, be devoid of being?
|
|
|
|
In no way.
|
|
|
|
And it is divided into the greatest and into the smallest, and
|
|
into being of all sizes, and is broken up more than all things; the
|
|
divisions of it have no limit.
|
|
|
|
True.
|
|
|
|
Then it has the greatest number of parts?
|
|
|
|
Yes, the greatest number.
|
|
|
|
Is there any of these which is a part of being, and yet no part?
|
|
|
|
Impossible.
|
|
|
|
But if it is at all and so long as it is, it must be one, and cannot
|
|
be none?
|
|
|
|
Certainly.
|
|
|
|
Then the one attaches to every single part of being, and does not
|
|
fail in any part, whether great or small, or whatever may be the
|
|
size of it?
|
|
|
|
True.
|
|
|
|
But reflect:-an one in its entirety, be in many places at the same
|
|
time?
|
|
|
|
No; I see the impossibility of that.
|
|
|
|
And if not in its entirety, then it is divided; for it cannot be
|
|
present with all the parts of being, unless divided.
|
|
|
|
True.
|
|
|
|
And that which has parts will be as many as the parts are?
|
|
|
|
Certainly.
|
|
|
|
Then we were wrong in saying just now, that being was distributed
|
|
into the greatest number of parts. For it is not distributed into
|
|
parts more than the one, into parts equal to the one; the one is never
|
|
wanting to being, or being to the one, but being two they are co-equal
|
|
and coextensive.
|
|
|
|
Certainly that is true.
|
|
|
|
The one itself, then, having been broken up into parts by being,
|
|
is many and infinite?
|
|
|
|
True.
|
|
|
|
Then not only the one which has being is many, but the one itself
|
|
distributed by being, must also be many?
|
|
|
|
Certainly.
|
|
|
|
Further, inasmuch as the parts are parts of a whole, the one, as a
|
|
whole, will be limited; for are not the parts contained the whole?
|
|
|
|
Certainly.
|
|
|
|
And that which contains, is a limit?
|
|
|
|
Of course.
|
|
|
|
Then the one if it has being is one and many, whole and parts,
|
|
having limits and yet unlimited in number?
|
|
|
|
Clearly.
|
|
|
|
And because having limits, also having extremes?
|
|
|
|
Certainly.
|
|
|
|
And if a whole, having beginning and middle and end. For can
|
|
anything be a whole without these three? And if any one of them is
|
|
wanting to anything, will that any longer be a whole?
|
|
|
|
No.
|
|
|
|
Then the one, as appears, will have beginning, middle, and end.
|
|
|
|
It will.
|
|
|
|
But, again, the middle will be equidistant from the extremes; or
|
|
it would not be in the middle?
|
|
|
|
Yes.
|
|
|
|
Then the one will partake of figure, either rectilinear or round, or
|
|
a union of the two?
|
|
|
|
True.
|
|
|
|
And if this is the case, it will be both in itself and in another
|
|
too.
|
|
|
|
How?
|
|
|
|
Every part is in the whole, and none is outside the whole.
|
|
|
|
True.
|
|
|
|
And all the parts are contained by the whole?
|
|
|
|
Yes.
|
|
|
|
And the one is all its parts, and neither more nor less than all?
|
|
|
|
No.
|
|
|
|
And the one is the whole?
|
|
|
|
Of course.
|
|
|
|
But if all the parts are in the whole, and the one is all of them
|
|
and the whole, and they are all contained by the whole, the one will
|
|
be contained by the one; and thus the one will be in itself.
|
|
|
|
That is true.
|
|
|
|
But then, again, the whole is not in the parts-neither in all the
|
|
parts, nor in some one of them. For if it is in all, it must be in
|
|
one; for if there were any one in which it was not, it could not be in
|
|
all the parts; for the part in which it is wanting is one of all,
|
|
and if the whole is not in this, how can it be in them all?
|
|
|
|
It cannot.
|
|
|
|
Nor can the whole be in some of the parts; for if the whole were
|
|
in some of the parts, the greater would be in the less, which is
|
|
impossible.
|
|
|
|
Yes, impossible.
|
|
|
|
But if the whole is neither in one, nor in more than one, nor in all
|
|
of the parts, it must be in something else, or cease to be anywhere at
|
|
all?
|
|
|
|
Certainly.
|
|
|
|
If it were nowhere, it would be nothing; but being a whole, and
|
|
not being in itself, it must be in another.
|
|
|
|
Very true.
|
|
|
|
The one then, regarded as a whole, is in another, but regarded as
|
|
being all its parts, is in itself; and therefore the one must be
|
|
itself in itself and also in another.
|
|
|
|
Certainly.
|
|
|
|
The one then, being of this nature, is of necessity both at rest and
|
|
in motion?
|
|
|
|
How?
|
|
|
|
The one is at rest since it is in itself, for being in one, and
|
|
not passing out of this, it is in the same, which is itself.
|
|
|
|
True.
|
|
|
|
And that which is ever in the same, must be ever at rest?
|
|
|
|
Certainly.
|
|
|
|
Well, and must not that, on the contrary, which is ever in other,
|
|
never be in the same; and if never in the same, never at rest, and
|
|
if not at rest, in motion?
|
|
|
|
True.
|
|
|
|
Then the one being always itself in itself and other, must always be
|
|
both at rest and in motion?
|
|
|
|
Clearly.
|
|
|
|
And must be the same with itself, and other than itself; and also
|
|
the same with the others, and other than the others; this follows from
|
|
its previous affections.
|
|
|
|
How so?
|
|
|
|
Every thing in relation to every other thing, is either the same
|
|
or other; or if neither the same nor other, then in the relation of
|
|
a part to a whole, or of a whole to a part.
|
|
|
|
Clearly.
|
|
|
|
And is the one a part of itself?
|
|
|
|
Certainly not.
|
|
|
|
Since it is not a part in relation to itself it cannot be related to
|
|
itself as whole to part?
|
|
|
|
It cannot.
|
|
|
|
But is the one other than one?
|
|
|
|
No.
|
|
|
|
And therefore not other than itself?
|
|
|
|
Certainly not.
|
|
|
|
If then it be neither other, nor a whole, nor a part in relation
|
|
to itself, must it not be the same with itself?
|
|
|
|
Certainly.
|
|
|
|
But then, again, a thing which is in another place from "itself," if
|
|
this "itself" remains in the same place with itself, must be other
|
|
than "itself," for it will be in another place?
|
|
|
|
True.
|
|
|
|
Then the one has been shown to be at once in itself and in another?
|
|
|
|
Yes.
|
|
|
|
Thus, then, as appears, the one will be other than itself?
|
|
|
|
True.
|
|
|
|
Well, then, if anything be other than anything, will it not be other
|
|
than that which is other?
|
|
|
|
Certainly.
|
|
|
|
And will not all things that are not one, be other than the one, and
|
|
the one other than the not-one?
|
|
|
|
Of course.
|
|
|
|
Then the one will be other than the others?
|
|
|
|
True.
|
|
|
|
But, consider:-Are not the absolute same, and the absolute other,
|
|
opposites to one another?
|
|
|
|
Of course.
|
|
|
|
Then will the same ever be in the other, or the other in the same?
|
|
|
|
They will not.
|
|
|
|
If then the other is never in the same, there is nothing in which
|
|
the other is during any space of time; for during that space of
|
|
time, however small, the other would be in the game. Is not that true?
|
|
|
|
Yes.
|
|
|
|
And since the other-is never in the same, it can never be in anything
|
|
that is.
|
|
|
|
True.
|
|
|
|
Then the other will never be either in the not one, or in the one?
|
|
|
|
Certainly not.
|
|
|
|
Then not by reason of otherness is the one other than the not-one,
|
|
or the not-one other than the one.
|
|
|
|
No.
|
|
|
|
Nor by reason of themselves will they be other than one another,
|
|
if not partaking of the other.
|
|
|
|
How can they be?
|
|
|
|
But if they are not other, either by reason of themselves or of
|
|
the other, will they not altogether escape being other than one
|
|
another?
|
|
|
|
They will.
|
|
|
|
Again, the not-one cannot partake of the one; otherwise it would not
|
|
have been not-one, but would have been in some way one.
|
|
|
|
True.
|
|
|
|
Nor can the not-one be number; for having number, it would not
|
|
have been not-one at all.
|
|
|
|
It would not.
|
|
|
|
Again, is the not-one part of the one; or rather, would it not in
|
|
that case partake of the one?
|
|
|
|
It would.
|
|
|
|
If then, in every point of view, the one and the not-one are
|
|
distinct, then neither is the one part or whole of the not-one, nor is
|
|
the not-one part or whole of the one?
|
|
|
|
No.
|
|
|
|
But we said that things which are neither parts nor wholes of one
|
|
another, nor other than one another, will be the same with one
|
|
another: -so we said?
|
|
|
|
Yes.
|
|
|
|
Then shall we say that the one, being in this relation to the
|
|
not-one, is the same with it?
|
|
|
|
Let us say so.
|
|
|
|
Then it is the same with itself and the others, and also other
|
|
than itself and the others.
|
|
|
|
That appears to be the inference. And it will also be like and
|
|
unlike itself and the others?
|
|
|
|
Perhaps.
|
|
|
|
Since the one was shown to be other than the others, the others will
|
|
also be other than the one.
|
|
|
|
Yes.
|
|
|
|
And the one is other than the others in the same degree that the
|
|
others are other than it, and neither more nor less?
|
|
|
|
True.
|
|
|
|
And if neither more nor less, then in a like degree?
|
|
|
|
Yes.
|
|
|
|
In virtue of the affection by which the one is other than others and
|
|
others in like manner other than it, the one will be affected like the
|
|
others and the others like the one.
|
|
|
|
How do you mean?
|
|
|
|
I may take as an illustration the case of names: You give a name
|
|
to a thing?
|
|
|
|
Yes.
|
|
|
|
And you may say the name once or oftener?
|
|
|
|
Yes.
|
|
|
|
And when you say it once, you mention that of which it is the
|
|
name? and when more than once, is it something else which you mention?
|
|
or must it always be the same thing of which you speak, whether you
|
|
utter the name once or more than once?
|
|
|
|
Of course it is the same.
|
|
|
|
And is not "other" a name given to a thing?
|
|
|
|
Certainly.
|
|
|
|
Whenever, then, you use the word "other," whether once or oftener,
|
|
you name that of which it is the name, and to no other do you give the
|
|
name?
|
|
|
|
True.
|
|
|
|
Then when we say that the others are other than the one, and the one
|
|
other than the others, in repeating the word "other" we speak of
|
|
that nature to which the name is applied, and of no other?
|
|
|
|
Quite true.
|
|
|
|
Then the one which is other than others, and the other which is
|
|
other than the one, in that the word "other" is applied to both,
|
|
will be in the same condition; and that which is in the same condition
|
|
is like?
|
|
|
|
Yes.
|
|
|
|
Then in virtue of the affection by which the one is other than the
|
|
others, every thing will be like every thing, for every thing is other
|
|
than every thing.
|
|
|
|
True.
|
|
|
|
Again, the like is opposed to the unlike?
|
|
|
|
Yes.
|
|
|
|
And the other to the same?
|
|
|
|
True again.
|
|
|
|
And the one was also shown to be the same with the others?
|
|
|
|
Yes.
|
|
|
|
And to be, the same with the others is the opposite of being other
|
|
than the others?
|
|
|
|
Certainly.
|
|
|
|
And in that it was other it was shown to be like?
|
|
|
|
Yes.
|
|
|
|
But in that it was the same it will be unlike by virtue of the
|
|
opposite affection to that which made it and this was the affection of
|
|
otherness.
|
|
|
|
Yes.
|
|
|
|
The same then will make it unlike; otherwise it will not be the
|
|
opposite of the other.
|
|
|
|
True.
|
|
|
|
Then the one will be both like and unlike the others; like in so far
|
|
as it is other, and unlike in so far as it is the same.
|
|
|
|
Yes, that argument may be used.
|
|
|
|
And there is another argument.
|
|
|
|
What?
|
|
|
|
In so far as it is affected in the same way it is not affected
|
|
otherwise, and not being affected otherwise is not unlike, and not
|
|
being unlike, is like; but in so far as it is affected by other it
|
|
is otherwise, and being otherwise affected is unlike.
|
|
|
|
True.
|
|
|
|
Then because the one is the same with the others and other than
|
|
the others, on either of these two grounds, or on both of them, it
|
|
will be both like and unlike the others?
|
|
|
|
Certainly.
|
|
|
|
And in the same way as being other than itself, and the same with
|
|
itself on either of these two grounds and on both of them, it will
|
|
be like and unlike itself.
|
|
|
|
Of course.
|
|
|
|
Again, how far can the one touch or not touch itself and
|
|
others?-Consider.
|
|
|
|
I am considering.
|
|
|
|
The one was shown to be in itself which was a whole?
|
|
|
|
True.
|
|
|
|
And also in other things?
|
|
|
|
Yes.
|
|
|
|
In so far as it is in other things it would touch other things,
|
|
but in so far as it is in itself it would be debarred from touching
|
|
them, and would touch itself only.
|
|
|
|
Clearly.
|
|
|
|
Then the inference is that it would touch both?
|
|
|
|
It would.
|
|
|
|
But what do you say to a new point of view? Must not that which is
|
|
to touch another be next to that which it is to touch, and occupy
|
|
the place nearest to that in which what it touches is situated?
|
|
|
|
True.
|
|
|
|
Then the one, if it is to touch itself, ought to be situated next to
|
|
itself, and occupy the place next to that in which itself is?
|
|
|
|
It ought.
|
|
|
|
And that would require that the one should be two, and be in two
|
|
places at once, and this, while it is one, will never happen.
|
|
|
|
No.
|
|
|
|
Then the one cannot touch itself any more than it can be two?
|
|
|
|
It cannot.
|
|
|
|
Neither can it touch others.
|
|
|
|
Why not?
|
|
|
|
The reason is, that whatever is to touch another must be in
|
|
separation from, and next to, that which it is to touch, and no
|
|
third thing can be between them.
|
|
|
|
True.
|
|
|
|
Two things, then, at the least ate necessary to make contact
|
|
possible?
|
|
|
|
They are.
|
|
|
|
And if to the two a third be added in due order, the number of terms
|
|
will be three, and the contacts two?
|
|
|
|
Yes.
|
|
|
|
And every additional term makes one additional contact, whence it
|
|
follows that the contacts are one less in number than the terms; the
|
|
first two terms exceeded the number of contacts by one, and the
|
|
whole number of terms exceeds the whole number of contacts by one in
|
|
like manner; and for every one which is afterwards added to the number
|
|
of terms, one contact is added to the contacts.
|
|
|
|
True.
|
|
|
|
Whatever is the whole number of things, the contacts will be
|
|
always one less.
|
|
|
|
True.
|
|
|
|
But if there be only one, and not two, there will be no contact?
|
|
|
|
How can there be?
|
|
|
|
And do we not say that the others being other than the one are not
|
|
one and have no part in the one?
|
|
|
|
True.
|
|
|
|
Then they have no number, if they have no one in them?
|
|
|
|
Of course not.
|
|
|
|
Then the others are neither one nor two, nor are they called by
|
|
the name of any number?
|
|
|
|
No.
|
|
|
|
One, then, alone is one, and two do not exist?
|
|
|
|
Clearly not.
|
|
|
|
And if there are not two, there is no contact?
|
|
|
|
There is not.
|
|
|
|
Then neither does the one touch the others, nor the others the
|
|
one, if there is no contact?
|
|
|
|
Certainly not.
|
|
|
|
For all which reasons the one touches and does not touch itself
|
|
and the others?
|
|
|
|
True.
|
|
|
|
Further-is the one equal and unequal to itself and others?
|
|
|
|
How do you mean?
|
|
|
|
If the one were greater or less than the others, or the others
|
|
greater or less than the one, they would not be greater or less than
|
|
each other in virtue of their being the one and the others; but, if in
|
|
addition to their being what they are they had equality, they would be
|
|
equal to one another, or if the one had smallness and the others
|
|
greatness, or the one had greatness and the others smallness-whichever
|
|
kind had greatness would be greater, and whichever had smallness would
|
|
be smaller?
|
|
|
|
Certainly.
|
|
|
|
Then there are two such ideas as greatness and smallness; for if
|
|
they were not they could not be opposed to each other and be present
|
|
in that which is.
|
|
|
|
How could they?
|
|
|
|
If, then, smallness is present in the one it will be present
|
|
either in the whole or in a part of the whole?
|
|
|
|
Certainly.
|
|
|
|
Suppose the first; it will be either co-equal and co-extensive
|
|
with the whole one, or will contain the one?
|
|
|
|
Clearly.
|
|
|
|
If it be co-extensive with the one it will be coequal with the
|
|
one, or if containing the one it will be greater than the one?
|
|
|
|
Of course.
|
|
|
|
But can smallness be equal to anything or greater than anything, and
|
|
have the functions of greatness and equality and not its own
|
|
functions?
|
|
|
|
Impossible.
|
|
|
|
Then smallness cannot be in the whole of one, but, if at all, in a
|
|
part only?
|
|
|
|
Yes.
|
|
|
|
And surely not in all of a part, for then the difficulty of the
|
|
whole will recur; it will be equal to or greater than any part in
|
|
which it is.
|
|
|
|
Certainly.
|
|
|
|
Then smallness will not be in anything, whether in a whole or in a
|
|
part; nor will there be anything small but actual smallness.
|
|
|
|
True.
|
|
|
|
Neither will greatness be in the one, for if greatness be in
|
|
anything there will be something greater other and besides greatness
|
|
itself, namely, that in which greatness is; and this too when the
|
|
small itself is not there, which the one, if it is great, must exceed;
|
|
this, however, is impossible, seeing that smallness is wholly absent.
|
|
|
|
True.
|
|
|
|
But absolute greatness is only greater than absolute smallness,
|
|
and smallness is only smaller than absolute greatness.
|
|
|
|
Very true.
|
|
|
|
Then other things not greater or less than the one, if they have
|
|
neither greatness nor smallness; nor have greatness or smallness any
|
|
power of exceeding or being exceeded in relation to the one, but
|
|
only in relation to one another; nor will the one be greater or less
|
|
than them or others, if it has neither greatness nor smallness.
|
|
|
|
Clearly not.
|
|
|
|
Then if the one is neither greater nor less than the others, it
|
|
cannot either exceed or be exceeded by them?
|
|
|
|
Certainly not.
|
|
|
|
And that which neither exceeds nor is exceeded, must be on an
|
|
equality; and being on an equality, must be equal.
|
|
|
|
Of course.
|
|
|
|
And this will be true also of the relation of the one to itself;
|
|
having neither greatness nor smallness in itself, it will neither
|
|
exceed nor be exceeded by itself, but will be on an equality with
|
|
and equal to itself.
|
|
|
|
Certainly.
|
|
|
|
Then the one will be equal to both itself and the others?
|
|
|
|
Clearly so.
|
|
|
|
And yet the one, being itself in itself, will also surround and be
|
|
without itself; and, as containing itself, will be greater than
|
|
itself; and, as contained in itself, will be less; and will thus be
|
|
greater and less than itself.
|
|
|
|
It will.
|
|
|
|
Now there cannot possibly be anything which is not included in the
|
|
one and the others?
|
|
|
|
Of course not.
|
|
|
|
But, surely, that which is must always be somewhere?
|
|
|
|
Yes.
|
|
|
|
But that which is in anything will be less, and that in which it
|
|
is will be greater; in no other way can one thing be in another.
|
|
|
|
True.
|
|
|
|
And since there is nothing other or besides the one and the
|
|
others, and they must be in something, must they not be in one
|
|
another, the one in the others and the others in the one, if they
|
|
are to be anywhere?
|
|
|
|
That is clear.
|
|
|
|
But inasmuch as the one is in the others, the others will be greater
|
|
than the one, because they contain the one, which will be less than
|
|
the others, because it is contained in them; and inasmuch as the
|
|
others are in the one, the one on the same principle will be greater
|
|
than the others, and the others less than the one.
|
|
|
|
True.
|
|
|
|
The one, then, will be equal to and greater and less than itself and
|
|
the others?
|
|
|
|
Clearly.
|
|
|
|
And if it be greater and less and equal, it will be of equal and
|
|
more and less measures or divisions than itself and the others, and if
|
|
of measures, also of parts?
|
|
|
|
Of course.
|
|
|
|
And if of equal and more and less measures or divisions, it will
|
|
be in number more or less than itself and the others, and likewise
|
|
equal in number to itself and to the others?
|
|
|
|
How is that?
|
|
|
|
It will be of more measures than those things which it exceeds,
|
|
and of as many parts as measures; and so with that to which it is
|
|
equal, and that than which it is less.
|
|
|
|
True.
|
|
|
|
And being greater and less than itself, and equal to itself, it will
|
|
be of equal measures with itself and of more and fewer measures than
|
|
itself; and if of measures then also of parts?
|
|
|
|
It will.
|
|
|
|
And being of equal parts with itself, it will be numerically equal
|
|
to itself; and being of more parts, more, and being of less, less than
|
|
itself?
|
|
|
|
Certainly.
|
|
|
|
And the same will hold of its relation to other things; inasmuch
|
|
as it is greater than them, it will be more in number than them; and
|
|
inasmuch as it is smaller, it will be less in number; and inasmuch
|
|
as it is equal in size to other things, it will be equal to them in
|
|
number.
|
|
|
|
Certainly.
|
|
|
|
Once more then, as would appear, the one will be in number both
|
|
equal to and more and less than both itself and all other things.
|
|
|
|
It will.
|
|
|
|
Does the one also partake of time? And is it and does it become
|
|
older and younger than itself and others, and again, neither younger
|
|
nor older than itself and others, by virtue of participation in time?
|
|
|
|
How do you mean?
|
|
|
|
If one is, being must be predicated of it?
|
|
|
|
Yes.
|
|
|
|
But to be (einai) is only participation of being in present time,
|
|
and to have been is the participation of being at a past time, and
|
|
to be about to be is the participation of being at a future time?
|
|
|
|
Very true.
|
|
|
|
Then the one, since it partakes of being, partakes of time?
|
|
|
|
Certainly.
|
|
|
|
And is not time always moving forward?
|
|
|
|
Yes.
|
|
|
|
Then the one is always becoming older than itself, since it moves
|
|
forward in time?
|
|
|
|
Certainly.
|
|
|
|
And do you remember that the older becomes older than that which
|
|
becomes younger?
|
|
|
|
I remember.
|
|
|
|
Then since the one becomes older than itself, it becomes younger
|
|
at the same time?
|
|
|
|
Certainly.
|
|
|
|
Thus, then, the one becomes older as well as younger than itself?
|
|
|
|
Yes.
|
|
|
|
And it is older (is it not?) when in becoming, it gets to the
|
|
point of time. between "was" and "will be," which is "now": for surely
|
|
in going from the past to the future, it cannot skip the present?
|
|
|
|
No.
|
|
|
|
And when it arrives at the present it stops from becoming older, and
|
|
no longer becomes, but is older, for if it went on it would never be
|
|
reached by the present, for it is the nature of that which goes on, to
|
|
touch both the present and the future, letting go the present and
|
|
seizing the future, while in process of becoming between them.
|
|
|
|
True.
|
|
|
|
But that which is becoming cannot skip the present; when it
|
|
reaches the present it ceases to become, and is then whatever it may
|
|
happen to be becoming.
|
|
|
|
Clearly.
|
|
|
|
And so the one, when in becoming older it reaches the present,
|
|
ceases to become, and is then older.
|
|
|
|
Certainly.
|
|
|
|
And it is older than that than which it was becoming older, and it
|
|
was becoming older than itself.
|
|
|
|
Yes.
|
|
|
|
And that which is older is older than that which is younger?
|
|
|
|
True.
|
|
|
|
Then the one is younger than itself, when in becoming older it
|
|
reaches the present?
|
|
|
|
Certainly.
|
|
|
|
But the present is always present with the one during all its being;
|
|
for whenever it is it is always now.
|
|
|
|
Certainly.
|
|
|
|
Then the one always both is and becomes older and younger than
|
|
itself?
|
|
|
|
Truly.
|
|
|
|
And is it or does it become a longer time than itself or an equal
|
|
time with itself?
|
|
|
|
An equal time.
|
|
|
|
But if it becomes or is for an equal time with itself, it is of
|
|
the same age with itself?
|
|
|
|
Of course.
|
|
|
|
And that which is of the same age, is neither older nor younger?
|
|
|
|
No.
|
|
|
|
The one, then, becoming and being the same time with itself, neither
|
|
is nor becomes older or younger than itself?
|
|
|
|
I should say not.
|
|
|
|
And what are its relations to other things? Is it or does it
|
|
become older or younger than they?
|
|
|
|
I cannot tell you.
|
|
|
|
You can at least tell me that others than the one are more than
|
|
the one-other would have been one, but the others have multitude,
|
|
and are more than one?
|
|
|
|
They will have multitude.
|
|
|
|
And a multitude implies a number larger than one?
|
|
|
|
Of course.
|
|
|
|
And shall we say that the lesser or the greater is the first to come
|
|
or to have come into existence?
|
|
|
|
The lesser.
|
|
|
|
Then the least is the first? And that is the one?
|
|
|
|
Yes.
|
|
|
|
Then the one of all things that have number is the first to come
|
|
into being; but all other things have also number, being plural and
|
|
not singular.
|
|
|
|
They have.
|
|
|
|
And since it came into being first it must be supposed to have
|
|
come into being prior to the others, and the others later; and the
|
|
things which came into being later, are younger than that which
|
|
preceded them? And so the other things will be younger than the one,
|
|
and the one older than other things?
|
|
|
|
True.
|
|
|
|
What would you say of another question? Can the one have come into
|
|
being contrary to its own nature, or is that impossible?
|
|
|
|
Impossible.
|
|
|
|
And yet, surely, the one was shown to have parts; and if parts, then
|
|
a beginning, middle and end?
|
|
|
|
Yes.
|
|
|
|
And a beginning, both of the one itself and of all other things,
|
|
comes into being first of all; and after the beginning, the others
|
|
follow, until you reach the end?
|
|
|
|
Certainly.
|
|
|
|
And all these others we shall affirm to be parts of the whole and of
|
|
the one, which, as soon as the end is reached, has become whole and
|
|
one?
|
|
|
|
Yes; that is what we shall say.
|
|
|
|
But the end comes last, and the one is of such a nature as to come
|
|
into being with the last; and, since the one cannot come into being
|
|
except in accordance with its own nature, its nature will require that
|
|
it should come into being after the others, simultaneously with the
|
|
end.
|
|
|
|
Clearly.
|
|
|
|
Then the one is younger than the others and the others older than
|
|
the one.
|
|
|
|
That also is clear in my judgment.
|
|
|
|
Well, and must not a beginning or any other part of the one or of
|
|
anything, if it be a part and not parts, being a part, be also of
|
|
necessity one?
|
|
|
|
Certainly.
|
|
|
|
And will not the one come into being together with each
|
|
part-together with the first part when that comes into being, and
|
|
together with the second part and with all the rest, and will not be
|
|
wanting to any part, which is added to any other part until it has
|
|
reached the last and become one whole; it will be wanting neither to
|
|
the middle, nor to the first, nor to the last, nor to any of them,
|
|
while the process of becoming is going on?
|
|
|
|
True.
|
|
|
|
Then the one is of the same age with all the others, so that if
|
|
the one itself does not contradict its own nature, it will be
|
|
neither prior nor posterior to the others, but simultaneous; and
|
|
according to this argument the one will be neither older nor younger
|
|
than the others, nor the others than the one, but according to the
|
|
previous argument the one will be older and younger than the others
|
|
and the others than the one.
|
|
|
|
Certainly.
|
|
|
|
After this manner then the one is and has become. But as to its
|
|
becoming older and younger than the others, and the others than the
|
|
one, and neither older. nor younger, what shall we say? Shall we say
|
|
as of being so also of becoming, or otherwise?
|
|
|
|
I cannot answer.
|
|
|
|
But I can venture to say, that even if one thing were older or
|
|
younger than another, it could not become older or younger in a
|
|
greater degree than it was at first; for equals added to unequals,
|
|
whether to periods of time or to anything else, leave the difference
|
|
between them the same as at first.
|
|
|
|
Of course. Then that which is, cannot become older or younger than
|
|
that which is, since the difference of age is always the same; the one
|
|
is and has become older and the other younger; but they are no
|
|
longer becoming so.
|
|
|
|
True.
|
|
|
|
And the one which is does not therefore become either older or
|
|
younger than the others which are
|
|
|
|
No.
|
|
|
|
But consider whether they may not become older and younger in
|
|
another way.
|
|
|
|
In what way?
|
|
|
|
Just as the one was proven to be older than the others and the
|
|
others than the one.
|
|
|
|
And what of that?
|
|
|
|
If the one is older than the others, has come into being a longer
|
|
time than the others.
|
|
|
|
Yes.
|
|
|
|
But consider again; if we add equal time to a greater and a less
|
|
time, will the greater differ from the less time by an equal or by a
|
|
smaller portion than before?
|
|
|
|
By a smaller portion.
|
|
|
|
Then the difference between the age of the one and the age of the
|
|
others will not be afterwards so great as at first, but if an equal
|
|
time be added to both of them they will differ less and less in age?
|
|
|
|
Yes.
|
|
|
|
And that which differs in age from some other less than formerly,
|
|
from being older will become younger in relation to that other than
|
|
which it was older?
|
|
|
|
Yes, younger.
|
|
|
|
And if the one becomes younger the others aforesaid will become
|
|
older than they were before, in relation to the one.
|
|
|
|
Certainly.
|
|
|
|
Then that which had become younger becomes older relatively to
|
|
that which previously had become and was older; it never really is
|
|
older, but is always becoming, for the one is always growing on the
|
|
side of youth and the other on the side of age. And in like manner the
|
|
older is always in process of becoming younger than the younger; for
|
|
as they are always going in opposite directions they become in ways
|
|
the opposite to one another, the younger older than the older and
|
|
the older younger than the younger. They cannot, however have
|
|
become; for if they had already become they would be and not merely
|
|
become. But that is impossible; for they are always becoming both
|
|
older and younger than one another: the one becomes younger than the
|
|
others because it was seen to be older and prior, and the others
|
|
become older than the one because they came into being later; and in
|
|
the same way the others are in the same relation to the one, because
|
|
they were seen to be older, and prior to the one.
|
|
|
|
That is clear.
|
|
|
|
Inasmuch then, one thing does not become older or younger than
|
|
another, in that they always differ from each other by an equal
|
|
number, the one cannot become older or younger than the others, nor
|
|
the other than the one; but inasmuch as that which came into being
|
|
earlier and that which came into being later must continually differ
|
|
from each other by a different portion-in this point of view the
|
|
others must become older and younger than the one, and the one than
|
|
the others.
|
|
|
|
Certainly.
|
|
|
|
For all these reasons, then, the one is and becomes older and
|
|
younger than itself and the others, and neither is nor becomes older
|
|
or younger than itself or the others.
|
|
|
|
Certainly.
|
|
|
|
But since the one partakes of time, and partakes of becoming older
|
|
and younger, must it not also partake of the past, the present, and
|
|
the future?
|
|
|
|
Of course it must.
|
|
|
|
Then the one was and is and will be, and was becoming and is
|
|
becoming and will become?
|
|
|
|
Certainly.
|
|
|
|
And there is and was and will be something which is in relation to
|
|
it and belongs to it?
|
|
|
|
True.
|
|
|
|
And since we have at this moment opinion and knowledge and
|
|
perception of the one, there is opinion and knowledge and perception
|
|
of it?
|
|
|
|
Quite right.
|
|
|
|
Then there is name and expression for it, and it is named and
|
|
expressed, and everything of this kind which appertains to other:
|
|
things appertains to the one.
|
|
|
|
Certainly, that is true.
|
|
|
|
Yet once more and for the third time, let us consider: If the one is
|
|
both one and many, as we have described, and is, neither one nor many,
|
|
and participates in time, must it not, in as far as it is one, at
|
|
times partake of being, and in as far as it is not one, at times not
|
|
partake of being?
|
|
|
|
Certainly.
|
|
|
|
But can it partake of being when not partaking of being, or not
|
|
partake of being when partaking of being?
|
|
|
|
Impossible.
|
|
|
|
Then the one partakes and does not partake of being at different
|
|
times, for that is the only way in which it can partake and not
|
|
partake of the same.
|
|
|
|
True.
|
|
|
|
And is there not also a time at which it assumes being and
|
|
relinquishes being-for how can it have and not have the same thing
|
|
unless it receives and also gives it up at; some time?
|
|
|
|
Impossible.
|
|
|
|
And the assuming of being is what you would call becoming?
|
|
|
|
I should.
|
|
|
|
And the relinquishing of being you would call destruction?
|
|
|
|
I should.
|
|
|
|
The one then, as would appear, becomes and is destroyed by taking
|
|
and giving up being.
|
|
|
|
Certainly.
|
|
|
|
And being one and many and in process of becoming and being
|
|
destroyed, when it becomes one it ceases to be many, and when many, it
|
|
ceases to be one?
|
|
|
|
Certainly.
|
|
|
|
And as it becomes one and many, must it not inevitably experience
|
|
separation and aggregation?
|
|
|
|
Inevitably.
|
|
|
|
And whenever it becomes like and unlike it must be assimilated and
|
|
dissimilated?
|
|
|
|
Yes.
|
|
|
|
And when it becomes greater or less or equal it must grow or
|
|
diminish or be equalized?
|
|
|
|
True.
|
|
|
|
And when being in motion it rests, and when being at rest it changes
|
|
to motion, it can surely be in no time at all?
|
|
|
|
How can it?
|
|
|
|
But that a thing which is previously at rest should be afterwards in
|
|
motion, or previously in motion and afterwards at rest, without
|
|
experiencing change, is impossible.
|
|
|
|
Impossible.
|
|
|
|
And surely there cannot be a time in which a thing can be at once
|
|
neither in motion nor at rest?
|
|
|
|
There cannot.
|
|
|
|
But neither can it change without changing.
|
|
|
|
True.
|
|
|
|
When then does it change; for it cannot change either when at
|
|
rest, or when in motion, or when in time?
|
|
|
|
It cannot.
|
|
|
|
And does this strange thing in which it is at the time of changing
|
|
really exist?
|
|
|
|
What thing?
|
|
|
|
The moment. For the moment seems to imply a something out of which
|
|
change takes place into either of two states; for the change is not
|
|
from the state of rest as such, nor, from the state of motion as such;
|
|
but there is this curious nature, which we call the moment lying
|
|
between rest and motion, not being in any time; and into this and
|
|
out of this what is in motion changes into rest, and what is at rest
|
|
into motion.
|
|
|
|
So it appears.
|
|
|
|
And the one then, since it is at rest and also in motion, will
|
|
change to either, for only in this way can it be in both. And in
|
|
changing it changes in a moment, and when it is changing it will be in
|
|
no time, and will not then be either in motion or at rest.
|
|
|
|
It will not.
|
|
|
|
And it will be in the same case in relation to the other changes,
|
|
when it passes from being into cessation of being, or from not-being
|
|
into becoming-then it passes between certain states of motion and
|
|
rest, and, neither is nor is not, nor becomes nor is destroyed.
|
|
|
|
Very true.
|
|
|
|
And on the same principle, in the passage from one to many and
|
|
from many to one, the one is neither one nor many, neither separated
|
|
nor aggregated; and in the passage from like to unlike, and from
|
|
unlike to like, it is neither like nor unlike, neither in a state of
|
|
assimilation nor of dissimilation; and in the passage from small to
|
|
great and equal and back again, it will be neither small nor great,
|
|
nor equal, nor in a state of increase, or diminution, or equalization.
|
|
|
|
True.
|
|
|
|
All these, then, are the affections of the one, if the one has
|
|
being.
|
|
|
|
Of course.
|
|
|
|
But if one is, what will happen to the others -is not that also to
|
|
be considered?
|
|
|
|
Yes.
|
|
|
|
Let us show then, if one is, what will be the affections of the
|
|
others than the one.
|
|
|
|
Let us do so.
|
|
|
|
Inasmuch as there are things other than the one, the others are
|
|
not the one; for if they were they could not be other than the one.
|
|
Very true.
|
|
|
|
Very true.
|
|
|
|
Nor are the others altogether without the one, but in a certain
|
|
way they participate in the one.
|
|
|
|
In what way?
|
|
|
|
Because the others are other than the one inasmuch as they have
|
|
parts; for if they had no parts they would be simply one.
|
|
|
|
Right.
|
|
|
|
And parts, as we affirm, have relation to a whole?
|
|
|
|
So we say.
|
|
|
|
And a whole must necessarily be one made up of many; and the parts
|
|
will be parts of the one, for each of the parts is not a part of many,
|
|
but of a whole.
|
|
|
|
How do you mean?
|
|
|
|
If anything were a part of many, being itself one of them, it will
|
|
surely be a part of itself, which is impossible, and it will be a part
|
|
of each one of the other parts, if of all; for if not a part of some
|
|
one, it will be a part of all the others but this one, and thus will
|
|
not be a part of each one; and if not a part of each, one it will
|
|
not be a part of anyone of the many; and not being a part of any
|
|
one, it cannot be a part or anything else of all those things of
|
|
none of which it is anything.
|
|
|
|
Clearly not.
|
|
|
|
Then the part is not a part of the many, nor of all, but is of a
|
|
certain single form, which we call a whole, being one perfect unity
|
|
framed out of all-of this the part will be a part.
|
|
|
|
Certainly.
|
|
|
|
If, then, the others have parts, they will participate in the
|
|
whole and in the one.
|
|
|
|
True.
|
|
|
|
Then the others than the one must be one perfect whole, having
|
|
parts.
|
|
|
|
Certainly.
|
|
|
|
And the same argument holds of each part, for the part must
|
|
participate in the one; for if each of the parts is a part, this
|
|
means, I suppose, that it is one separate from the rest and
|
|
self-related; otherwise it is not each.
|
|
|
|
True.
|
|
|
|
But when we speak of the part participating in the one, it must
|
|
clearly be other than one; for if not, it would merely have
|
|
participated, but would have been one; whereas only the itself can
|
|
be one.
|
|
|
|
Very true.
|
|
|
|
Both the whole and the part must participate in the one; for the
|
|
whole will be one whole, of which the parts will be parts; and each
|
|
part will be one part of the whole which is the whole of the part.
|
|
|
|
True.
|
|
|
|
And will not the things which participate in the one, be other
|
|
than it?
|
|
|
|
Of course.
|
|
|
|
And the things which are other than the one will be many; for if the
|
|
things which are other than the one were neither one nor more than
|
|
one, they would be nothing.
|
|
|
|
True.
|
|
|
|
But, seeing that the things which participate in the one as a
|
|
part, and in the one as a whole, are more than one, must not those
|
|
very things which participate in the one be infinite in number?
|
|
|
|
How so?
|
|
|
|
Let us look at the matter thus:-Is it not a fact that in partaking
|
|
of the one they are not one, and do not partake of the one at the very
|
|
time. when they are partaking of it?
|
|
|
|
Clearly.
|
|
|
|
They do so then as multitudes in which the one is not present?
|
|
|
|
Very true.
|
|
|
|
And if we were to abstract from them in idea the very smallest
|
|
fraction, must not that least fraction, if it does not partake of
|
|
the one, be a multitude and not one?
|
|
|
|
It must.
|
|
|
|
And if we continue to look at the other side of their nature,
|
|
regarded simply, and in itself, will not they, as far as we see
|
|
them, be unlimited in number?
|
|
|
|
Certainly.
|
|
|
|
And yet, when each several part becomes a part, then the parts
|
|
have a limit in relation to the whole and to each other, and the whole
|
|
in relation to the parts.
|
|
|
|
Just so.
|
|
|
|
The result to the others than the one is that of themselves and
|
|
the one appears to create a new element in them which gives to them
|
|
limitation in relation to one another; whereas in their own nature
|
|
they have no limit.
|
|
|
|
That is clear.
|
|
|
|
Then the others than the one, both as whole and parts, are infinite,
|
|
and also partake of limit.
|
|
|
|
Certainly.
|
|
|
|
Then they are both like and unlike one another and themselves.
|
|
|
|
How is that?
|
|
|
|
Inasmuch as they are unlimited in their own nature, they are all
|
|
affected in the same way.
|
|
|
|
True.
|
|
|
|
And inasmuch as they all partake of limit, they are all affected
|
|
in the same way.
|
|
|
|
Of course.
|
|
|
|
But inasmuch as their state is both limited and unlimited, they
|
|
are affected in opposite ways.
|
|
|
|
Yes.
|
|
|
|
And opposites are the most unlike of things.
|
|
|
|
Certainly.
|
|
|
|
Considered, then, in regard to either one of their affections,
|
|
they will be like themselves and one another; considered in
|
|
reference to both of them together, most opposed and most unlike.
|
|
|
|
That appears to be true.
|
|
|
|
Then the others are both like and unlike themselves and one another?
|
|
|
|
True.
|
|
|
|
And they are the same and also different from one another, and in
|
|
motion and at rest, and experience every sort of opposite affection,
|
|
as may be proved without difficulty of them, since they have been
|
|
shown to have experienced the affections aforesaid?
|
|
|
|
True.
|
|
|
|
Suppose, now, that we leave the further discussion of these
|
|
matters as evident, and consider again upon the hypothesis that the
|
|
one is, whether opposite of all this is or is not equally true of
|
|
the others.
|
|
|
|
By all means.
|
|
|
|
Then let us begin again, and ask, If one is, what must be the
|
|
affections of the others?
|
|
|
|
Let us ask that question.
|
|
|
|
Must not the one be distinct from the others, and the others from
|
|
the one?
|
|
|
|
Why so?
|
|
|
|
Why, because there is nothing else beside them which is distinct
|
|
from both of them; for the expression "one and the others" includes
|
|
all things.
|
|
|
|
Yes, all things.
|
|
|
|
Then we cannot suppose that there is anything different from them in
|
|
which both the one and the others might exist?
|
|
|
|
There is nothing.
|
|
|
|
Then the one and the others are never in the same?
|
|
|
|
True.
|
|
|
|
Then they are separated from each other?
|
|
|
|
Yes.
|
|
|
|
And we surely cannot say that what is truly one has parts?
|
|
|
|
Impossible.
|
|
|
|
Then the one will not be in the others as a whole, nor as part, if
|
|
it be separated from the others, and has no parts?
|
|
|
|
Impossible.
|
|
|
|
Then there is no way in which the others can partake of the one,
|
|
if they do not partake either in whole or in part?
|
|
|
|
It would seem not.
|
|
|
|
Then there is no way in which the others are one, or have in
|
|
themselves any unity?
|
|
|
|
There is not.
|
|
|
|
Nor are the others many; for if they were many, each part of them
|
|
would be a part of the whole; but now the others, not partaking in any
|
|
way of the one, are neither one nor many, nor whole, nor part.
|
|
|
|
True.
|
|
|
|
Then the others neither are nor contain two or three, if entirely
|
|
deprived of the one?
|
|
|
|
True.
|
|
|
|
Then the others are neither like nor unlike the one, nor is likeness
|
|
and unlikeness in them; for if they were like and unlike, or had in
|
|
them likeness and unlikeness, they would have two natures in them
|
|
opposite to one another.
|
|
|
|
That is clear.
|
|
|
|
But for that which partakes of nothing to partake of two things
|
|
was held by us to be impossible?
|
|
|
|
Impossible.
|
|
|
|
Then the others are neither like nor unlike nor both, for if they
|
|
were like or unlike they would partake of one of those two natures,
|
|
which would be one thing, and if they were both they would partake
|
|
of opposites which would be two things, and this has been shown to
|
|
be impossible.
|
|
|
|
True.
|
|
|
|
Therefore they are neither the same, nor other, nor in motion, nor
|
|
at rest, nor in a state of becoming, nor of being destroyed, nor
|
|
greater, nor less, nor equal, nor have they experienced anything
|
|
else of the sort; for, if they are capable of experiencing any such
|
|
affection, they will participate in one and two and three, and odd and
|
|
even, and in these, as has been proved, they do not participate,
|
|
seeing that they are altogether and in every way devoid of the one.
|
|
|
|
Very true.
|
|
|
|
Therefore if one is, the one is all things, and also nothing, both
|
|
in relation to itself and to other things.
|
|
|
|
Certainly.
|
|
|
|
Well, and ought we not to consider next what will be the consequence
|
|
if the one is not?
|
|
|
|
Yes; we ought.
|
|
|
|
What is the meaning of the hypothesis-If the one is not; is there
|
|
any difference between this and the hypothesis-If the not one is not?
|
|
|
|
There is a difference, certainly.
|
|
|
|
Is there a difference only, or rather are not the two expressions-if
|
|
the one is not, and if the not one is not, entirely opposed?
|
|
|
|
They are entirely opposed.
|
|
|
|
And suppose a person to say:-If greatness is not, if smallness is
|
|
not, or anything of that sort, does he not mean, whenever he uses such
|
|
an expression, that "what is not" is other than other things?
|
|
|
|
To be sure.
|
|
|
|
And so when he says "If one is not" he clearly means, that what
|
|
"is not" is other than all others; we know what he means-do we not?
|
|
|
|
Yes, we do.
|
|
|
|
When he says "one," he says something which is known; and secondly
|
|
something which is other than all other things; it makes no difference
|
|
whether he predicate of one being or not being, for that which is said
|
|
"not to be" is known to be something all the same, and is
|
|
distinguished from other things.
|
|
|
|
Certainly.
|
|
|
|
Then I will begin again, and ask: If one is not, what are the
|
|
consequences? In the first place, as would appear, there is a
|
|
knowledge of it, or the very meaning of the words, "if one is not,"
|
|
would not be known.
|
|
|
|
True.
|
|
|
|
Secondly, the others differ from it, or it could not be described as
|
|
different from the others?
|
|
|
|
Certainly.
|
|
|
|
Difference, then, belongs to it as well as knowledge; for in
|
|
speaking of the one as different from the others, we do not speak of a
|
|
difference in the others, but in the one.
|
|
|
|
Clearly so.
|
|
|
|
Moreover, the one that is not is something and partakes of
|
|
relation to "that," and "this," and "these," and the like, and is an
|
|
attribute of "this"; for the one, or the others than the one, could
|
|
not have been spoken of, nor could any attribute or relative of the
|
|
one that is not have been or been spoken of, nor could it have been
|
|
said to be anything, if it did not partake of "some," or of the
|
|
other relations just now mentioned.
|
|
|
|
True.
|
|
|
|
Being, then, cannot be ascribed to the one, since it is not; but the
|
|
one that is not may or rather must participate in many things, if it
|
|
and nothing else is not; if, however, neither the one nor the one that
|
|
is not is supposed not to be, and we are speaking of something of a
|
|
different nature, we can predicate nothing of it. But supposing that
|
|
the one that is not and nothing else is not, then it must
|
|
participate in the predicate "that," and in many others.
|
|
|
|
Certainly.
|
|
|
|
And it will have unlikeness in relation to the others, for the
|
|
others being different from the one will be of a different kind.
|
|
|
|
Certainly.
|
|
|
|
And are not things of a different kind also other in kind?
|
|
|
|
Of course.
|
|
|
|
And are not things other in kind unlike?
|
|
|
|
They are unlike.
|
|
|
|
And if they are unlike the one, that which they are unlike will
|
|
clearly be unlike them?
|
|
|
|
Clearly so.
|
|
|
|
Then the one will have unlikeness in respect of which the others are
|
|
unlike it?
|
|
|
|
That would seem to be true.
|
|
|
|
And if unlikeness to other things is attributed to it, it must
|
|
have likeness to itself.
|
|
|
|
How so?
|
|
|
|
If the one have unlikeness to one, something else must be meant; nor
|
|
will the hypothesis relate to one; but it will relate to something
|
|
other than one?
|
|
|
|
Quite so.
|
|
|
|
But that cannot be.
|
|
|
|
No.
|
|
|
|
Then the one must have likeness to itself?
|
|
|
|
It must.
|
|
|
|
Again, it is not equal to the others; for if it were equal, then
|
|
it would at once be and be like them in virtue of the equality; but if
|
|
one has no being, then it can neither be nor be like?
|
|
|
|
It cannot.
|
|
|
|
But since it is not equal to the others, neither can the others be
|
|
equal to it?
|
|
|
|
Certainly not.
|
|
|
|
And things that are not equal are unequal?
|
|
|
|
True.
|
|
|
|
And they are unequal to an unequal?
|
|
|
|
Of course.
|
|
|
|
Then the one partakes of inequality, and in respect of this the
|
|
others are unequal to it?
|
|
|
|
Very true.
|
|
|
|
And inequality implies greatness and smallness?
|
|
|
|
Yes.
|
|
|
|
Then the one, if of such a nature, has greatness and smallness?
|
|
|
|
That appears to be true.
|
|
|
|
And greatness and smallness always stand apart?
|
|
|
|
True.
|
|
|
|
Then there is always something between them?
|
|
|
|
There is.
|
|
|
|
And can you think of anything else which is between them other
|
|
than equality?
|
|
|
|
No, it is equality which lies between them.
|
|
|
|
Then that which has greatness and smallness also has equality, which
|
|
lies between them?
|
|
|
|
That is clear.
|
|
|
|
Then the one, which is not, partakes, as would appear, of
|
|
greatness and smallness and equality?
|
|
|
|
Clearly.
|
|
|
|
Further, it must surely in a sort partake of being?
|
|
|
|
How so?
|
|
|
|
It must be so, for if not, then we should not speak the truth in
|
|
saying that the one is not. But if we speak the truth, clearly we must
|
|
say what is. Am I not right?
|
|
|
|
Yes.
|
|
|
|
And since we affirm that we speak truly, we must also affirm that we
|
|
say what is?
|
|
|
|
Certainly.
|
|
|
|
Then, as would appear, the one, when it is not, is; for if it were
|
|
not to be when it is not, but were to relinquish something of being,
|
|
so as to become not-being, it would at once be.
|
|
|
|
Quite true.
|
|
|
|
Then the one which is not, if it is to maintain itself, must have
|
|
the being of not-being as the bond of not-being, just as being must
|
|
have as a bond the not-being of not-being in order to perfect its
|
|
own being; for the truest assertion of the being of being and of the
|
|
not-being of not being is when being partakes of the being of being,
|
|
and not of the being of not-being-that is, the perfection of being;
|
|
and when not-being does not partake of the not-being of not-being
|
|
but of the being of not-being-that is the perfection of not-being.
|
|
|
|
Most true.
|
|
|
|
Since then what is partakes of not-being, and what is not of
|
|
being, must not the one also partake of being in order not to be?
|
|
|
|
Certainly.
|
|
|
|
Then the one, if it is not, clearly has being?
|
|
|
|
Clearly.
|
|
|
|
And has not-being also, if it is not?
|
|
|
|
Of course.
|
|
|
|
But can anything which is in a certain state not be in that state
|
|
without changing?
|
|
|
|
Impossible.
|
|
|
|
Then everything which is and is not in a certain state, implies
|
|
change?
|
|
|
|
Certainly.
|
|
|
|
And change is motion-we may say that?
|
|
|
|
Yes, motion.
|
|
|
|
And the one has been proved both to be and not to be?
|
|
|
|
Yes.
|
|
|
|
And therefore is and is not in the same state?
|
|
|
|
Yes.
|
|
|
|
Thus the one that is not has been shown to have motion also, because
|
|
it changes from being to not-being?
|
|
|
|
That appears to be true.
|
|
|
|
But surely if it is nowhere among what is, as is the fact, since
|
|
it is not, it cannot change from one place to another?
|
|
|
|
Impossible.
|
|
|
|
Then it cannot move by changing place?
|
|
|
|
No.
|
|
|
|
Nor can it turn on the same spot, for it nowhere touches the same,
|
|
for the same is, and that which is not cannot be reckoned among things
|
|
that are?
|
|
|
|
It cannot.
|
|
|
|
Then the one, if it is not, cannot turn in that in which it is not?
|
|
|
|
No.
|
|
|
|
Neither can the one, whether it is or is not, be altered into
|
|
other than itself, for if it altered and became different from itself,
|
|
then we could not be still speaking of the one, but of something else?
|
|
|
|
True.
|
|
|
|
But if the one neither suffers alteration, nor turns round in the
|
|
same place, nor changes place, can it still be capable of motion?
|
|
|
|
Impossible.
|
|
|
|
Now that which is unmoved must surely be at rest, and that which
|
|
is at rest must stand still?
|
|
|
|
Certainly.
|
|
|
|
Then the one that is not, stands still, and is also in motion?
|
|
|
|
That seems to be true.
|
|
|
|
But if it be in motion it must necessarily undergo alteration, for
|
|
anything which is moved, in so far as it is moved, is no longer in the
|
|
same state, but in another?
|
|
|
|
Yes.
|
|
|
|
Then the one, being moved, is altered?
|
|
|
|
Yes.
|
|
|
|
And, further, if not moved in any way, it will not be altered in any
|
|
way?
|
|
|
|
No.
|
|
|
|
Then, in so far as the one that is not is moved, it is altered,
|
|
but in so far as it is not moved, it is not altered?
|
|
|
|
Right.
|
|
|
|
Then the one that is not is altered and is not altered?
|
|
|
|
That is clear.
|
|
|
|
And must not that which is altered become other than it previously
|
|
was, and lose its former state and be destroyed; but that which is not
|
|
altered can neither come into being nor be destroyed?
|
|
|
|
Very true.
|
|
|
|
And the one that is not, being altered, becomes and is destroyed;
|
|
and not being altered, neither becomes nor is destroyed; and so the
|
|
one that is not becomes and is destroyed, and neither becomes nor is
|
|
destroyed?
|
|
|
|
True.
|
|
|
|
And now, let us go back once more to the beginning, and see
|
|
whether these or some other consequences will follow.
|
|
|
|
Let us do as you say.
|
|
|
|
If one is not, we ask what will happen in respect of one? That is
|
|
the question.
|
|
|
|
Yes.
|
|
|
|
Do not the words "is not" signify absence of being in that to
|
|
which we apply them?
|
|
|
|
Just so.
|
|
|
|
And when we say that a thing is not, do we mean that it is not in
|
|
one way but is in another? or do we mean, absolutely, that what is not
|
|
has in no sort or way or kind participation of being?
|
|
|
|
Quite absolutely.
|
|
|
|
Then, that which is not cannot be, or in any way participate in
|
|
being?
|
|
|
|
It cannot.
|
|
|
|
And did we not mean by becoming, and being destroyed, the assumption
|
|
of being and the loss of being?
|
|
|
|
Nothing else.
|
|
|
|
And can that which has no participation in being, either assume or
|
|
lose being?
|
|
|
|
Impossible.
|
|
|
|
The one then, since it in no way is, cannot have or lose or assume
|
|
being in any way?
|
|
|
|
True.
|
|
|
|
Then the one that is not, since it in no way partakes of being,
|
|
neither nor becomes?
|
|
|
|
No.
|
|
|
|
Then it is not altered at all; for if it were it would become and be
|
|
destroyed?
|
|
|
|
True.
|
|
|
|
But if it be not altered it cannot be moved?
|
|
|
|
Certainly not.
|
|
|
|
Nor can we say that it stands, if it is nowhere; for that which
|
|
stands must always be in one and the same spot?
|
|
|
|
Of course.
|
|
|
|
Then we must say that the one which is not never stands still and
|
|
never moves?
|
|
|
|
Neither.
|
|
|
|
Nor is there any existing thing which can be attributed to it; for
|
|
if there had been, it would partake of being?
|
|
|
|
That is clear.
|
|
|
|
And therefore neither smallness, nor greatness, nor equality, can be
|
|
attributed to it?
|
|
|
|
No.
|
|
|
|
Nor yet likeness nor difference, either in relation to itself or
|
|
to others?
|
|
|
|
Clearly not.
|
|
|
|
Well, and if nothing should be attributed to it, can other things be
|
|
attributed to it?
|
|
|
|
Certainly not.
|
|
|
|
And therefore other things can neither be like or unlike, the
|
|
same, or different in relation to it?
|
|
|
|
They cannot.
|
|
|
|
Nor can what is not, be anything, or be this thing, or be related to
|
|
or the attribute of this or that or other, or be past, present, or
|
|
future. Nor can knowledge, or opinion, or perception, or expression,
|
|
or name, or any other thing that is, have any concern with it?
|
|
|
|
No.
|
|
|
|
Then the one that is not has no condition of any kind?
|
|
|
|
Such appears to be the conclusion.
|
|
|
|
Yet once more; if one is not, what becomes of the others? Let us
|
|
determine that.
|
|
|
|
Yes; let us determine that.
|
|
|
|
The others must surely be; for if they, like the one, were not, we
|
|
could not be now speaking of them.
|
|
|
|
True.
|
|
|
|
But to speak of the others implies difference-the terms "other"
|
|
and "different" are synonymous?
|
|
|
|
True.
|
|
|
|
Other means other than other, and different, different from the
|
|
different?
|
|
|
|
Yes.
|
|
|
|
Then, if there are to be others, there is something than which
|
|
they will be other?
|
|
|
|
Certainly.
|
|
|
|
And what can that be?-for if the one is not, they will not be
|
|
other than the one.
|
|
|
|
They will not.
|
|
|
|
Then they will be other than each other; for the only remaining
|
|
alternative is that they are other than nothing.
|
|
|
|
True.
|
|
|
|
And they are each other than one another, as being plural and not
|
|
singular; for if one is not, they cannot be singular but every
|
|
particle of them is infinite in number; and even if a person takes
|
|
that which appears to be the smallest fraction, this, which seemed
|
|
one, in a moment evanesces into many, as in a dream, and from being
|
|
the smallest becomes very great, in comparison with the fractions into
|
|
which it is split up?
|
|
|
|
Very true.
|
|
|
|
And in such particles the others will be other than one another,
|
|
if others are, and the one is not?
|
|
|
|
Exactly.
|
|
|
|
And will there not be many particles, each appearing to be one,
|
|
but not being one, if one is not?
|
|
|
|
True.
|
|
|
|
And it would seem that number can be predicated of them if each of
|
|
them appears to be one, though it is really many?
|
|
|
|
It can.
|
|
|
|
And there will seem to be odd and even among them, which will also
|
|
have no reality, if one is not?
|
|
|
|
Yes.
|
|
|
|
And there will appear to be a least among them; and even this will
|
|
seem large and manifold in comparison with the many small fractions
|
|
which are contained in it?
|
|
|
|
Certainly.
|
|
|
|
And each particle will be imagined to be equal to the many and
|
|
little; for it could not have appeared to pass from the greater to the
|
|
less without having appeared to arrive at the middle; and thus would
|
|
arise the appearance of equality.
|
|
|
|
Yes.
|
|
|
|
And having neither beginning, middle, nor end, each separate
|
|
particle yet appears to have a limit in relation to itself and other.
|
|
|
|
How so?
|
|
|
|
Because, when a person conceives of any one of these as such,
|
|
prior to the beginning another beginning appears, and there is another
|
|
end, remaining after the end, and in the middle truer middles within
|
|
but smaller, because no unity can be conceived of any of them, since
|
|
the one is not.
|
|
|
|
Very true.
|
|
|
|
And so all being, whatever we think of, must be broken up into
|
|
fractions, for a particle will have to be conceived of without unity?
|
|
|
|
Certainly.
|
|
|
|
And such being when seen indistinctly and at a distance, appears
|
|
to be one; but when seen near and with keen intellect, every single
|
|
thing appears to be infinite, since it is deprived of the one, which
|
|
is not?
|
|
|
|
Nothing more certain.
|
|
|
|
Then each of the others must appear to be infinite and finite, and
|
|
one and many, if others than the one exist and not the one.
|
|
|
|
They must.
|
|
|
|
Then will they not appear to be like and unlike?
|
|
|
|
In what way?
|
|
|
|
Just as in a picture things appear to be all one to a person
|
|
standing at a distance, and to be in the same state and alike?
|
|
|
|
True.
|
|
|
|
But when you approach them, they appear to be many and different;
|
|
and because of the appearance of the difference, different in kind
|
|
from, and unlike, themselves?
|
|
|
|
True.
|
|
|
|
And so must the particles appear to be like and unlike themselves
|
|
and each other.
|
|
|
|
Certainly.
|
|
|
|
And must they not be the same and yet different from one another,
|
|
and in contact with themselves, although they are separated, and
|
|
having every sort of motion, and every sort of rest, and becoming
|
|
and being destroyed, and in neither state, and the like, all which
|
|
things may be easily enumerated, if the one is not and the many are?
|
|
|
|
Most true.
|
|
|
|
Once more, let us go back to the beginning, and ask if the one is
|
|
not, and the others of the one are, what will follow.
|
|
|
|
Let us ask that question.
|
|
|
|
In the first place, the others will not be one?
|
|
|
|
Impossible.
|
|
|
|
Nor will they be many; for if they were many one would be
|
|
contained in them. But if no one of them is one, all of them are
|
|
nought, and therefore they will not be many.
|
|
|
|
True.
|
|
|
|
If there be no one in the others, the others are neither many nor
|
|
one.
|
|
|
|
They are not.
|
|
|
|
Nor do they appear either as one or many.
|
|
|
|
Why not?
|
|
|
|
Because the others have no sort or manner or way of communion with
|
|
any sort of not-being, nor can anything which is not, be connected
|
|
with any of the others; for that which is not has no parts.
|
|
|
|
True.
|
|
|
|
Nor is there an opinion or any appearance of not-being in connection
|
|
with the others, nor is not-being ever in any way attributed to the
|
|
others.
|
|
|
|
No.
|
|
|
|
Then if one is not, the others neither are, nor any of the others
|
|
either as one or many; for you cannot conceive the many without the
|
|
one.
|
|
|
|
You cannot.
|
|
|
|
Then if one is not, there is no conception of can be conceived to be
|
|
either one or many?
|
|
|
|
It would seem not.
|
|
|
|
Nor as like or unlike?
|
|
|
|
No.
|
|
|
|
Nor as the same or different, nor in contact or separation, nor in
|
|
any of those states which we enumerated as appearing to be;-the others
|
|
neither are nor appear to be any of these, if one is not?
|
|
|
|
True.
|
|
|
|
Then may we not sum up the argument in a word and say truly: If
|
|
one is not, then nothing is?
|
|
|
|
Certainly.
|
|
|
|
Let thus much be said; and further let us affirm what seems to be
|
|
the truth, that, whether one is or is not, one and the others in
|
|
relation to themselves and one another, all of them, in every way, are
|
|
and are not, and appear to be and appear not to be.
|
|
|
|
Most true.
|
|
|
|
-THE END-
|
|
.
|