And that by greatness only great things become great and greater greater, and by smallness the less become less?

True.

Then if a person were to remark that A is taller by a head than B, and B less by a head than A, you would refuse to admit his statement, and would stoutly contend that what you mean is only that the greater is greater by, and by reason of, greatness, and the less is less only by, and by reason of, smallness; and thus you would avoid the danger of saying that the greater is greater and the less less by the measure of the head, which is the same in both, and would also avoid the monstrous absurdity of supposing that the greater man is greater by reason of the head, which is small. You would be afraid to draw such an inference, would you not?

Indeed, I should, said Cebes, laughing.

In like manner you would be afraid to say that ten exceeded eight by, and by reason of, two; but would say by, and by reason of, number; or you would say that two cubits exceed one cubit not by a half, but by magnitude?-for there is the same liability to error in all these cases.

Very true, he said.

Again, would you not be cautious of affirming that the addition of one to one, or the division of one, is the cause of two? And you would loudly a.s.severate that you know of no way in which anything comes into existence except by partic.i.p.ation in its own proper essence, and consequently, as far as you know, the only cause of two is the partic.i.p.ation in duality--this is the way to make two, and the partic.i.p.ation in one is the way to make one. You would say: I will let alone puzzles of division and addition--wiser heads than mine may answer them; inexperienced as I am, and ready to start, as the proverb says, at my own shadow, I cannot afford to give up the sure ground of a principle. And if any one a.s.sails you there, you would not mind him, or answer him, until you had seen whether the consequences which follow agree with one another or not, and when you are further required to give an explanation of this principle, you would go on to a.s.sume a higher principle, and a higher, until you found a resting-place in the best of the higher; but you would not confuse the principle and the consequences in your reasoning, like the Eristics--at least if you wanted to discover real existence. Not that this confusion signifies to them, who never care or think about the matter at all, for they have the wit to be well pleased with themselves however great may be the turmoil of their ideas.

But you, if you are a philosopher, will certainly do as I say.

What you say is most true, said Simmias and Cebes, both speaking at once.

ECHECRATES: Yes, Phaedo; and I do not wonder at their a.s.senting. Any one who has the least sense will acknowledge the wonderful clearness of Socrates' reasoning.

PHAEDO: Certainly, Echecrates; and such was the feeling of the whole company at the time.

ECHECRATES: Yes, and equally of ourselves, who were not of the company, and are now listening to your recital. But what followed?

PHAEDO: After all this had been admitted, and they had that ideas exist, and that other things partic.i.p.ate in them and derive their names from them, Socrates, if I remember rightly, said:--

This is your way of speaking; and yet when you say that Simmias is greater than Socrates and less than Phaedo, do you not predicate of Simmias both greatness and smallness?

Yes, I do.

But still you allow that Simmias does not really exceed Socrates, as the words may seem to imply, because he is Simmias, but by reason of the size which he has; just as Simmias does not exceed Socrates because he is Simmias, any more than because Socrates is Socrates, but because he has smallness when compared with the greatness of Simmias?

True.

And if Phaedo exceeds him in size, this is not because Phaedo is Phaedo, but because Phaedo has greatness relatively to Simmias, who is comparatively smaller?

That is true.

And therefore Simmias is said to be great, and is also said to be small, because he is in a mean between them, exceeding the smallness of the one by his greatness, and allowing the greatness of the other to exceed his smallness. He added, laughing, I am speaking like a book, but I believe that what I am saying is true.

Simmias a.s.sented.

I speak as I do because I want you to agree with me in thinking, not only that absolute greatness will never be great and also small, but that greatness in us or in the concrete will never admit the small or admit of being exceeded: instead of this, one of two things will happen, either the greater will fly or retire before the opposite, which is the less, or at the approach of the less has already ceased to exist; but will not, if allowing or admitting of smallness, be changed by that; even as I, having received and admitted smallness when compared with Simmias, remain just as I was, and am the same small person. And as the idea of greatness cannot condescend ever to be or become small, in like manner the smallness in us cannot be or become great; nor can any other opposite which remains the same ever be or become its own opposite, but either pa.s.ses away or perishes in the change.

That, replied Cebes, is quite my notion.

Hereupon one of the company, though I do not exactly remember which of them, said: In heaven's name, is not this the direct contrary of what was admitted before--that out of the greater came the less and out of the less the greater, and that opposites were simply generated from opposites; but now this principle seems to be utterly denied.

Socrates inclined his head to the speaker and listened. I like your courage, he said, in reminding us of this. But you do not observe that there is a difference in the two cases. For then we were speaking of opposites in the concrete, and now of the essential opposite which, as is affirmed, neither in us nor in nature can ever be at variance with itself: then, my friend, we were speaking of things in which opposites are inherent and which are called after them, but now about the opposites which are inherent in them and which give their name to them; and these essential opposites will never, as we maintain, admit of generation into or out of one another. At the same time, turning to Cebes, he said: Are you at all disconcerted, Cebes, at our friend's objection?

No, I do not feel so, said Cebes; and yet I cannot deny that I am often disturbed by objections.

Then we are agreed after all, said Socrates, that the opposite will never in any case be opposed to itself?

To that we are quite agreed, he replied.

Yet once more let me ask you to consider the question from another point of view, and see whether you agree with me:--There is a thing which you term heat, and another thing which you term cold?

Certainly.

But are they the same as fire and snow?

Most a.s.suredly not.

Heat is a thing different from fire, and cold is not the same with snow?

Yes.

And yet you will surely admit, that when snow, as was before said, is under the influence of heat, they will not remain snow and heat; but at the advance of the heat, the snow will either retire or perish?

Very true, he replied.

And the fire too at the advance of the cold will either retire or perish; and when the fire is under the influence of the cold, they will not remain as before, fire and cold.

That is true, he said.

And in some cases the name of the idea is not only attached to the idea in an eternal connection, but anything else which, not being the idea, exists only in the form of the idea, may also lay claim to it. I will try to make this clearer by an example:--The odd number is always called by the name of odd?

Very true.

But is this the only thing which is called odd? Are there not other things which have their own name, and yet are called odd, because, although not the same as oddness, they are never without oddness?--that is what I mean to ask--whether numbers such as the number three are not of the cla.s.s of odd. And there are many other examples: would you not say, for example, that three may be called by its proper name, and also be called odd, which is not the same with three? and this may be said not only of three but also of five, and of every alternate number--each of them without being oddness is odd, and in the same way two and four, and the other series of alternate numbers, has every number even, without being evenness. Do you agree?

Of course.

Then now mark the point at which I am aiming:--not only do essential opposites exclude one another, but also concrete things, which, although not in themselves opposed, contain opposites; these, I say, likewise reject the idea which is opposed to that which is contained in them, and when it approaches them they either perish or withdraw. For example; Will not the number three endure annihilation or anything sooner than be converted into an even number, while remaining three?

Very true, said Cebes.

And yet, he said, the number two is certainly not opposed to the number three?

It is not.

Then not only do opposite ideas repel the advance of one another, but also there are other natures which repel the approach of opposites.

Very true, he said.

Suppose, he said, that we endeavour, if possible, to determine what these are.

By all means.

Are they not, Cebes, such as compel the things of which they have possession, not only to take their own form, but also the form of some opposite?