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than that every thing that is greater than another is greater by nothing else than magnitude, and that it is greater on this account—that is, on account of magnitude; and that the less is less by nothing else than littleness, and on this account less—that is, on account of littleness; being afraid, I think, lest some opposite argument should meet you if you should say that any one is greater and less by the head; as, first, that the greater is greater, and the less less, by the very same thing; and, next, that the greater is greater by the head, which is small; and that it is monstrous to suppose that any one is great through something small. Should you not be afraid of this?"

To which said Cebes, smilingly, "Indeed, I should."

"Should you not, then," he continued, "be afraid to say that ten is more than eight by two, and for this cause exceeds it, and not by number, and on account of number? and that two cubits are greater than one cubit by half, and not by magnitude (for the fear is surely the same)?"

"Certainly," he replied.

115. "What, then? When one has been added to one, would you not beware of saying that the addition is the cause of its being two, or division when it has been divided; and would you not loudly assert that you know no other way in which each thing subsists, than by partaking of the peculiar essence of each of which it partakes, and that in these cases you can assign no other cause of its becoming two than its partaking of duality; and that such things as are to become two must needs partake of this, and what is to become one, of unity; but these divisions and additions, and other such subtleties, you would dismiss, leaving them to be given as answers by persons wiser than yourself; whereas you, fearing, as it is said, your own shadow and inexperience, would adhere to this safe hypothesis, and answer accordingly? But if any one should assail this hypothesis of yours, would you not dismiss him, and refrain from answering him till you had considered the consequences resulting from it, whether in your opinion they agree with or differ from each other? But when it should be necessary for you to give a reason for it, would you give one in a similar way, by again laying down another hypothesis, which should appear the best of higher principles, until you arrived at something satisfactory; but, at the same time, you would avoid making confusion, as disputants do, in treating of the first principle and the results arising from it, if you really desire to arrive at the truth of things? 116. For they, perhaps, make no account at all of this, nor pay any attention to it; for they are able, through their wisdom, to mingle all things together, and at the same time please themselves. But you, if you are a philosopher, would act, I think, as I now describe."

"You speak most truly," said Simmias and Cebes together.

Echec. By Jupiter! Phædo, they said so with good reason; for he appears to me to have explained these things with wonderful clearness, even to one endued with a small degree of intelligence.

Phæd. Certainly, Echecrates, and so it appeared to all who were present.

Echec. And so it appears to me, who was absent, and now hear it related. But what was said after this?

As well as I remember, when these things had been granted him, and it was allowed that each several idea exists of itself,37 and that other things partaking of them receive their denomination from them, he next asked: "If, then," he said, "you admit that things are so, whether, when you say that Simmias is greater than Socrates, but less than Phædo, do you not then say that magnitude and littleness are both in Simmias?"

"I do."

117. "And yet," he said, "you must confess that Simmias's exceeding Socrates is not actually true in the manner in which the words express it; for Simmias does not naturally exceed Socrates in that he is Simmias, but in consequence of the magnitude which he happens to have; nor, again, does he exceed Socrates because Socrates is Socrates, but because Socrates possesses littleness in comparison with his magnitude?"

"True."

"Nor, again, is Simmias exceeded by Phædo, because Phædo is Phædo, but because Phædo possesses magnitude in comparison with Simmias's littleness?"

"It is so."

"Thus, then, Simmias has the appellation of being both little and great, being between both, by exceeding the littleness of one through his own magnitude, and to the other yielding a magnitude that exceeds his own littleness." And at the same time, smiling, he said, "I seem to speak with the precision of a short-hand writer; however, it is as I say."

He allowed it.

118. "But I say it for this reason, wishing you to be of the same opinion as myself. For it appears to me, not only that magnitude itself is never disposed to be at the same time great and little, but that magnitude in us never admits the little nor is disposed to be exceeded, but one of two things, either to flee and withdraw when its contrary, the little, approaches it, or, when it has actually come, to perish; but that it is not disposed, by sustaining and receiving littleness, to be different from what it was. Just as I, having received and sustained littleness, and still continuing the person that I am, am this same little person; but that, while it is great, never endures to be little. And, in like manner, the little that is in us is not disposed at any time to become or to be great, nor is any thing else among contraries, while it continues what it was, at the same time disposed to become and to be its contrary; but in this contingency it either departs or perishes."

119. "It appears so to me," said Cebes, "in every respect."

But some one of those present, on hearing this, I do not clearly remember who he was, said, "By the gods! was not the very contrary of what is now asserted admitted in the former part of our discussion, that the greater is produced from the less, and the less from the greater, and, in a word, that the very production of contraries is from contraries? But now it appears to me to be asserted that this can never be the case."

Upon this Socrates, having leaned his head forward and listened, said, "You have reminded me in a manly way; you do not, however, perceive the difference between what is now and what was then asserted. For then it was said that a contrary thing is produced from a contrary; but now, that a contrary can never become contrary to itself—neither that which is in us, nor that which is in nature. For then, my friend, we spoke of things that have contraries, calling them by the appellation of those things; but now we are speaking of those very things from the presence of which things so called receive their appellation, and of these very things we say that they are never disposed to admit of production from each other." 120. And, at the same time looking at Cebes, "Has anything that has been said, Cebes, disturbed you?"

"Indeed," said Cebes, "I am not at all so disposed; however, I by no means say that there are not many things that disturb me."

"Then," he continued, "we have quite agreed to this, that a contrary can never be contrary to itself."

"Most certainly," he replied.

"But, further," he said, "consider whether you will agree with me in this also. Do you call heat and cold any thing?"

"I do."

"The same as snow and fire?"

"By Jupiter! I do not."

"But heat is something different from fire, and cold something different from snow?"

"Yes."

"But this, I think, is apparent to you—that snow, while it is snow, can never, when it has admitted heat, as we said before, continue to be what it was, snow and hot; but, on the approach of heat, it must either withdraw or perish?"

"Certainly."

"And, again, that fire, when cold approaches it, must either depart or perish; but that it will never endure, when it has admitted coldness, to continue what it was, fire and cold?"

121. "You speak truly," he said.

"It happens, then," he continued, "with respect to some of such things, that not only is the idea itself always thought worthy of the same appellation, but likewise something else which is not, indeed, that idea itself, but constantly retains its form so long as it exists. What I mean will perhaps be clearer in the following examples: the odd in number must always possess the name by which we now call it, must it not?"

"Certainly."

"Must it alone, of all things—for this I ask—or is there any thing else which is not the same as the odd, but yet which we must always call odd, together with its own name, because it is so constituted by nature that it can never be without the odd? But this, I say, is the case with the number three, and many others. For consider with respect to the number three: does it not appear to you that it must always be called by its own name, as well as by that of the odd, which is not the same as the number three? Yet such is the nature of the number three, five, and the entire half of number, that though they are not the same as the odd, yet each of them is always odd. And, again, two and four, and the whole other series of number, though not the same as the even, are nevertheless each of them always even: do you admit this, or not?"

122. "How should I not?" he replied.

"Observe then," said he, "what I wish to prove. It is this—that it appears not only that these contraries do not admit each other, but that even such things as are not contrary to each other, and yet always possess contraries, do not appear to admit that idea which is contrary to the idea that exists in themselves, but, when it approaches, perish or depart. Shall we not allow that the number three would first perish, and suffer any thing whatever, rather than endure, while it is still three, to become even?"

"Most certainly," said Cebes.

"And yet," said he, "the number two is not contrary to three."

"Surely not."

"Not only, then, do ideas that are contrary never allow the approach of each other, but some other things also do not allow the approach of contraries."

"You say very truly," he replied.

"Do you wish, then," he said, "that, if we are able, we should define what these things are?"

"Certainly."

"Would they not then, Cebes," he said, "be such things as, whatever they occupy, compel that thing not only to retain its own idea, but also that of something which is always a contrary?"

"How do you mean?"

123. "As we just now said. For you know, surely, that whatever things the idea of three occupies must of necessity not only be three, but also odd?"

"Certainly."

"To such a thing, then, we assert, that the idea contrary to that form which constitutes this can never come."

"It can not."

"But did the odd make it so?"

"Yes."

"And is the contrary to this the idea of the even?"

"Yes."

"The idea of the even, then, will never come to the three?"

"No, surely."

"Three, then, has no part in the even?"

"None whatever."

"The number three is uneven?"

"Yes."

"What, therefore, I said should be defined—namely, what things they are which, though not contrary to some particular thing, yet do not admit of the contrary itself; as, in the present instance, the number three, though not contrary

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