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third, which is the greatest and heaviest. When you have seen and heard the third wave, I think you will be more considerate and will acknowledge that some fear and hesitation was natural respecting a proposal so extraordinary as that which I have now to state and investigate.

The more appeals of this sort which you make, he said, the more determined are we that you shall tell us how such a State is possible: speak out and at once.

Let me begin by reminding you that we found our way hither in the search after justice and injustice.

True, he replied; but what of that?

I was only going to ask whether, if we have discovered them, we are to require that the just man should in nothing fail of absolute justice; or may we be satisfied with an approximation, and the attainment in him of a higher degree of justice than is to be found in other men?

The approximation will be enough.

We were enquiring into the nature of absolute justice and into the character of the perfectly just, and into injustice and the perfectly unjust, that we might have an ideal. We were to look at these in order that we might judge of our own happiness and unhappiness according to the standard which they exhibited and the degree in which we resembled them, but not with any view of showing that they could exist in fact.

True, he said.

Would a painter be any the worse because, after having delineated with consummate art an ideal of a perfectly beautiful man, he was unable to show that any such man could ever have existed?

He would be none the worse.

Well, and were we not creating an ideal of a perfect State?

To be sure.

And is our theory a worse theory because we are unable to prove the possibility of a city being ordered in the manner described?

Surely not, he replied.

That is the truth, I said. But if, at your request, I am to try and show how and under what conditions the possibility is highest, I must ask you, having this in view, to repeat your former admissions.

What admissions?

I want to know whether ideals are ever fully realized in language? Does not the word express more than the fact, and must not the actual, whatever a man may think, always, in the nature of things, fall short of the truth? What do you say?

I agree.

Then you must not insist on my proving that the actual State will in every respect coincide with the ideal: if we are only able to discover how a city may be governed nearly as we proposed, you will admit that we have discovered the possibility which you demand; and will be contented. I am sure that I should be contented--will not you?

Yes, I will.

Let me next endeavour to show what is that fault in States which is the cause of their present maladministration, and what is the least change which will enable a State to pass into the truer form; and let the change, if possible, be of one thing only, or, if not, of two; at any rate, let the changes be as few and slight as possible.

Certainly, he replied.

I think, I said, that there might be a reform of the State if only one change were made, which is not a slight or easy though still a possible one.

What is it? he said.

Now then, I said, I go to meet that which I liken to the greatest of the waves; yet shall the word be spoken, even though the wave break and drown me in laughter and dishonour; and do you mark my words.

Proceed.

I said: 'Until philosophers are kings, or the kings and princes of this world have the spirit and power of philosophy, and political greatness and wisdom meet in one, and those commoner natures who pursue either to the exclusion of the other are compelled to stand aside, cities will never have rest from their evils,--nor the human race, as I believe,--and then only will this our State have a possibility of life and behold the light of day.' Such was the thought, my dear Glaucon, which I would fain have uttered if it had not seemed too extravagant; for to be convinced that in no other State can there be happiness private or public is indeed a hard thing.

Socrates, what do you mean? I would have you consider that the word which you have uttered

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