Jowett: intelligible

Soc. And a thing is not seen because it is visible, but conversely, visible because it is seen ; nor is a thing led because it is in the state of being led, or carried because it is in the state of being carried, but the converse of this. And now I think, Euthyphro  , that my meaning will be intelligible ; and my meaning is, that any state of action or passion implies previous action or passion. It does not become because it is becoming, but it is in a state of becoming because it becomes ; neither does it suffer because it is in a state of suffering, but it is in a state of suffering because it suffers. Do you not agree ? EUTHYPHRO

Her. I should explain to you, Socrates  , that our friend Cratylus   has been arguing about names ; he says that they are natural and not conventional ; not a portion of the human voice which men agree to use ; but that there is a truth or correctness in them, which is the same for Hellenes as for barbarians. Whereupon I ask him, whether his own name of Cratylus is a true name or not, and he answers "Yes." And Socrates ? "Yes." Then every man’s name, as I tell him, is that which he is called. To this he replies — "If all the world were to call you Hermogenes, that would not be your name." And when I am anxious to have a further explanation he is ironical and mysterious, and seems to imply that he has a notion of his own about the matter, if he would only tell, and could entirely convince me, if he chose to be intelligible. Tell me, Socrates, what this oracle means ; or rather tell me, if you will be so good, what is your own view of the truth or correctness of names, which I would far sooner hear. CRATYLUS

Soc. Yes, for as his name, so also is his nature ; Agamemnon (admirable for remaining) is one who is patient and persevering in the accomplishment of his resolves, and by his virtue crowns them ; and his continuance at Troy with all the vast army is a proof of that admirable endurance in him which is signified by the name Agamemnon. I also think that Atreus is rightly called ; for his murder of Chrysippus   and his exceeding cruelty to Thyestes are damaging and destructive to his reputation — the name is a little altered and disguised so as not to be intelligible to every one, but to the etymologist there is no difficulty in seeing the meaning, for whether you think of him as ateires the stubborn, or as atrestos the fearless, or as ateros the destructive one, the name is perfectly correct in every point of view. And I think that Pelops is also named appropriately ; for, as the name implies, he is rightly called Pelops who sees what is near only (o ta pelas oron). CRATYLUS

For those who suppose all things to be in motion conceive the greater part of nature to be a mere receptacle ; and they say that there is a penetrating power which passes through all this, and is the instrument of creation in all, and is the subtlest and swiftest element ; for if it were not the subtlest, and a power which none can keep out, and also the swiftest, passing by other things as if they were standing still, it could not penetrate through the moving universe. And this element, which superintends all things and pieces (diaion) all, is rightly called dikaion ; the letter k is only added for the sake of euphony. Thus far, as I was saying, there is a general agreement about the nature of justice ; but I, Hermogenes, being an enthusiastic disciple, have been told in a mystery that the justice of which I am speaking is also the cause of the world : now a cause is that because of which anything is created ; and some one comes and whispers in my ear that justice is rightly so called because partaking of the nature of the cause, and I begin, after hearing what he has said, to interrogate him gently : "Well, my excellent friend," say I, "but if all this be true, I still want to know what is justice." Thereupon they think that I ask tiresome questions, and am leaping over the barriers, and have been already sufficiently answered, and they try to satisfy me with one derivation after another, and at length they quarrel. For one of them says that justice is the sun, and that he only is the piercing (diaionta) and burning (kaonta) element which is the guardian of nature. And when I joyfully repeat this beautiful notion, I am answered by the satirical remark, "What, is there no justice in the world when the sun is down ?" And when I earnestly beg my questioner to tell me his own honest opinion, he says, "Fire in the abstract" ; but this is not very intelligible. Another says, "No, not fire in the abstract, but the abstraction of heat in the fire." Another man professes to laugh at all this, and says, as Anaxagoras says, that justice is mind, for mind, as they say, has absolute power, and mixes with nothing, and orders all things, and passes through all things. At last, my friend, I find myself in far greater perplexity about the nature of justice than I was before I began to learn. But still I am of opinion that the name, which has led me into this digression, was given to justice for the reasons which I have mentioned. CRATYLUS

Soc. Good. But still the word is intelligible to both of us ; when I say skleros (hard), you know what I mean. CRATYLUS

Now here and in Lacedaemon the rules about love are perplexing, but in most cities they are simple and easily intelligible ; in Elis and Boeotia, and in countries having no gifts of eloquence, they are very straightforward ; the law is simply in favour of these connexions, and no one, whether young or old, has anything to say to their discredit ; the reason being, as I suppose, that they are men of few words in those parts, and therefore the lovers   do not like the trouble of pleading their suit. In Ionia and other places, and generally in countries which are subject to the barbarians, the custom is held to be dishonourable ; loves of youths share the evil repute in which philosophy and gymnastics are held because they are inimical to tyranny ; for the interests of rulers require that their subjects should be poor in spirit and that there should be no strong bond of friendship or society among them, which love, above all other motives, is likely to inspire, as our Athenian tyrants learned by experience ; for the love of Aristogeiton and the constancy of Harmodius had strength which undid their power. And, therefore, the ill-repute into which these attachments have fallen is to be ascribed to the evil condition of those who make them to be ill-reputed ; that is to say, to the self-seeking of the governors and the cowardice of the governed ; on the other hand, the indiscriminate honour which is given to them in some countries is attributable to the laziness of those who hold this opinion of them. In our own country a far better principle prevails, but, as I was saying, the explanation of it is rather perplexing. For, observe that open loves are held to be more honourable than secret ones, and that the love of the noblest and highest, even if their persons are less beautiful than others, is especially honourable. SYMPOSIUM  

And now, taking my leave of you, I would rehearse a tale of love which I heard from Diotima of Mantineia, a woman wise in this and in many other kinds of knowledge, who in the days of old, when the Athenians offered sacrifice before the coming of the plague, delayed the disease ten years. She was my instructress in the art of love, and I shall repeat to you what she said to me, beginning with the admissions made by Agathon, which are nearly if not quite the same which I made to the wise woman when she questioned me — I think that this will be the easiest way, and I shall take both parts myself as well as I can. As you, Agathon, suggested, I must speak first of the being and nature of Love, and then of his works. First I said to her in nearly the same words which he used to me, that Love was a mighty god, and likewise fair and she proved to me as I proved to him that, by my own showing, Love was neither fair nor good. "What do you mean, Diotima," I said, "is love then evil and foul ?" "Hush," she cried ; "must that be foul which is not fair ?" "Certainly," I said. "And is that which is not wise, ignorant ? do you not see that there is a mean between wisdom and ignorance ?" "And what may that be ?" I said. "Right opinion," she replied ; "which, as you know, being incapable of giving a reason, is not knowledge (for how can knowledge be devoid of reason ? nor again, ignorance, for neither can ignorance attain the truth), but is clearly something which is a mean between ignorance and wisdom." "Quite true," I replied. "Do not then insist," she said, "that what is not fair is of necessity foul, or what is not good evil ; or infer that because love is not fair and good he is therefore foul and evil ; for he is in a mean between them." "Well," I said, "Love is surely admitted by all to be a great god." "By those who know or by those who do not know ?" "By all." "And how, Socrates," she said with a smile, "can Love be acknowledged to be a great god by those who say that he is not a god at all ?" "And who are they ?" I said. "You and I are two of them," she replied. "How can that be ?" I said. "It is quite intelligible," she replied ; "for you yourself would acknowledge that the gods are happy and fair of course you would — would to say that any god was not ?" "Certainly not," I replied. "And you mean by the happy, those who are the possessors of things good or fair ?" "Yes." "And you admitted that Love, because he was in want, desires those good and fair things of which he is in want ?" "Yes, I did." "But how can he be a god who has no portion in what is either good or fair ?" "Impossible." "Then you see that you also deny the divinity of Love." SYMPOSIUM

I have told you one tale, and now I must tell you another, which is worth hearing, ‘Of the doings and sufferings of the enduring man’, while he was on the expedition. One morning he was thinking about something which he could not resolve ; he would not give it up, but continued thinking from early dawn until noon — there he stood fixed in thought ; and at noon attention was drawn to him, and the rumour ran through the wondering crowd that Socrates had been standing and thinking about something ever since the break of day. At last, in the evening after supper, some Ionians out of curiosity (I should explain that this was not in winter but in summer), brought out their mats and slept in the open air that they might watch him and see whether he would stand all night. There he stood until the following morning ; and with the return of light he offered up a prayer to the sun, and went his way. I will also tell, if you please — and indeed I am bound to tell of his courage in battle ; for who but he saved my life ? Now this was the engagement in which I received the prize of valour : for I was wounded and he would not leave me, but he rescued me and my arms ; and he ought to have received the prize of valour which the generals wanted to confer on me partly on account of my rank, and I told them so, (this, again Socrates will not impeach or deny), but he was more eager than the generals that I and not he should have the prize. There was another occasion on which his behaviour was very remarkable — in the flight of the army after the battle of Delium, where he served among the heavy-armed — I had a better opportunity of seeing him than at Potidaea, for I was myself on horseback, and therefore comparatively out of danger. He and Laches were retreating, for the troops were in flight, and I met them and told them not to be discouraged, and promised to remain with them ; and there you might see him, Aristophanes, as you describe, just as he is in the streets of Athens, stalking like a and rolling his eyes, calmly contemplating enemies as well as friends, and making very intelligible to anybody, even from a distance, that whoever attacked him would be likely to meet with a stout resistance ; and in this way he and his companion escaped — for this is the sort of man who is never touched in war ; those only are pursued who are running away headlong. I particularly observed how superior he was to Laches in presence of mind. Many are the marvels which I might narrate in praise of Socrates ; most of his ways might perhaps be paralleled in another man, but his absolute unlikeness to any human being that is or ever has been is perfectly astonishing. You may imagine Brasidas and others to have been like Achilles ; or you may imagine Nestor and Antenor to have been like Perides ; and the same may be said of other famous men, but of this strange being you will never be able to find any likeness, however remote, either among men who now are or who ever have been — other than that which I have already suggested of Silenus and the satyrs ; and they represent in a figure not only himself, but his words. For, although I forgot to mention this to you before, his words are like the images of Silenus which open ; they are ridiculous when you first hear them ; he clothes himself in language that is like the skin of the wanton satyr — for his talk is of pack-asses and smiths and cobblers and curriers, and he is always repeating the same things in the same words, so that any ignorant or inexperienced person might feel disposed to laugh at him ; but he who opens the bust and sees what is within will find that they are the only words which have a meaning in them, and also the most divine, abounding in fair images of virtue, and of the widest comprehension, or rather extending to the whole duty of a good and honourable man. SYMPOSIUM

Then reflect, Cebes : is not the conclusion of the whole matter this ? — that the soul is in the very likeness of the divine, and immortal, and intelligible, and uniform, and indissoluble, and unchangeable ; and the body is in the very likeness of the human, and mortal, and unintelligible, and multiform, and dissoluble, and changeable. Can this, my dear Cebes, be denied ? PHAEDO  

Soc. He would be a very simple person, and quite a stranger to the oracles of Thamus or Ammon, who should leave in writing or receive in writing any art under the idea that the written word would be intelligible or certain ; or who deemed that writing was at all better than knowledge and recollection of the same matters ? PHAEDRUS  

Soc. If, then, a syllable is a whole, and has many parts or letters, the letters as well as the syllable must be intelligible and expressible, since all the parts are acknowledged to be the same as the whole ? THEAETETUS  

Str. And that is the reason why their opponents cautiously defend themselves from above, out of an unseen world, mightily contending that true essence consists of certain intelligible and incorporeal ideas ; the bodies of the materialists, which by them are maintained to be the very truth, they break up into little bits by their arguments, and affirm them to be, not essence, but generation and motion. Between the two armies, Theaetetus, there is always an endless conflict raging concerning these matters. SOPHIST

Str. I mean to say that when we were asked about a king and statesman of the present ; and generation, we told of a shepherd of a human flock who belonged to the other cycle, and of one who was a god when he ought to have been a man ; and this a great error. Again, we declared him to be, the ruler of the entire State, without, explaining how : this was not the whole truth, nor very intelligible ; but still it was true, and therefore the second error was not so, great as the first. STATESMAN

Tim. All men, Socrates, who have any degree of right feeling, at the beginning of every enterprise, whether small or great, always call upon God. And we, too, who are going to discourse of the nature of the universe, how created or how existing without creation, if we be not altogether out of our wits, must invoke the aid of Gods and Goddesses and pray that our words may be acceptable to them and consistent with themselves. Let this, then, be our invocation of the Gods, to which I add an exhortation of myself to speak in such manner as will be most intelligible to you, and will most accord with my own intent. TIMAEUS  

First then, in my judgment, we must make a distinction and ask, What is that which always is and has no becoming ; and what is that which is always becoming and never is ? That which is apprehended by intelligence and reason is always in the same state ; but that which is conceived by opinion with the help of sensation and without reason, is always in a process of becoming and perishing and never really is. Now everything that becomes or is created must of necessity be created by some cause, for without a cause nothing can be created. The work of the creator, whenever he looks to the unchangeable and fashions the form and nature of his work after an unchangeable pattern, must necessarily be made fair and perfect ; but when he looks to the created only, and uses a created pattern, it is not fair or perfect. Was the heaven then or the world, whether called by this or by any other more appropriate name — assuming the name, I am asking a question which has to be asked at the beginning of an enquiry about anything — was the world, I say, always in existence and without beginning ? or created, and had it a beginning ? Created, I reply, being visible and tangible and having a body, and therefore sensible ; and all sensible things are apprehended by opinion and sense and are in a process of creation and created. Now that which is created must, as we affirm, of necessity be created by a cause. But the father and maker of all this universe is past finding out ; and even if we found him, to tell of him to all men would be impossible. And there is still a question to be asked about him : Which of the patterns had the artificer in view when he made the world — the pattern of the unchangeable, or of that which is created ? If the world be indeed fair and the artificer good, it is manifest that he must have looked to that which is eternal ; but if what cannot be said without blasphemy is true, then to the created pattern. Every one will see that he must have looked to, the eternal ; for the world is the fairest of creations and he is the best of causes. And having been created in this way, the world has been framed in the likeness of that which is apprehended by reason and mind and is unchangeable, and must therefore of necessity, if this is admitted, be a copy of something. Now it is all-important that the beginning of everything should be according to nature. And in speaking of the copy and the original we may assume that words are akin to the matter which they describe ; when they relate to the lasting and permanent and intelligible, they ought to be lasting and unalterable, and, as far as their nature allows, irrefutable and immovable — nothing less. But when they express only the copy or likeness and not the eternal things themselves, they need only be likely and analogous to the real words. As being is to becoming, so is truth to belief. If then, Socrates, amid the many opinions about the gods and the generation of the universe, we are not able to give notions which are altogether and in every respect exact and consistent with one another, do not be surprised. Enough, if we adduce probabilities as likely as any others ; for we must remember that I who am the speaker, and you who are the judges, are only mortal men, and we ought to accept the tale which is probable and enquire no further. TIMAEUS

This being supposed, let us proceed to the next stage : In the likeness of what animal did the Creator make the world ? It would be an unworthy thing to liken it to any nature which exists as a part only ; for nothing can be beautiful which is like any imperfect thing ; but let us suppose the world to be the very image of that whole of which all other animals both individually and in their tribes are portions. For the original of the universe contains in itself all intelligible beings, just as this world comprehends us and all other visible creatures. For the Deity, intending to make this world like the fairest and most perfect of intelligible beings, framed one visible animal comprehending within itself all other animals of a kindred nature. Are we right in saying that there is one world, or that they are many and infinite ? There must be one only, if the created copy is to accord with the original. For that which includes all other intelligible creatures cannot have a second or companion ; in that case there would be need of another living being which would include both, and of which they would be parts, and the likeness would be more truly said to resemble not them, but that other which included them. In order then that the world might be solitary, like the perfect animal, the creator made not two worlds or an infinite number of them ; but there is and ever will be one only-begotten and created heaven. TIMAEUS

Now, when all the stars which were necessary to the creation of time had attained a motion suitable to them, — and had become living creatures having bodies fastened by vital chains, and learnt their appointed task, moving in the motion of the diverse, which is diagonal, and passes through and is governed by the motion of the same, they revolved, some in a larger and some in a lesser orbit — those which had the lesser orbit revolving faster, and those which had the larger more slowly. Now by reason of the motion of the same, those which revolved fastest appeared to be overtaken by those which moved slower although they really overtook them ; for the motion of the same made them all turn in a spiral, and, because some went one way and some another, that which receded most slowly from the sphere of the same, which was the swiftest, appeared to follow it most nearly. That there might be some visible measure of their relative swiftness and slowness as they proceeded in their eight courses, God lighted a fire, which we now call the sun, in the second from the earth of these orbits, that it might give light to the whole of heaven, and that the animals, as many as nature intended, might participate in number, learning arithmetic from the revolution of the same and the like. Thus then, and for this reason the night and the day were created, being the period of the one most intelligent revolution. And the month is accomplished when the moon has completed her orbit and overtaken the sun, and the year when the sun has completed his own orbit. Mankind, with hardly an exception, have not remarked the periods of the other stars, and they have no name for them, and do not measure them against one another by the help of number, and hence they can scarcely be said to know that their wanderings, being infinite in number and admirable for their variety, make up time. And yet there is no difficulty in seeing that the perfect number of time fulfils the perfect year when all the eight revolutions, having their relative degrees of swiftness, are accomplished together and attain their completion at the same time, measured by the rotation of the same and equally moving. After this manner, and for these reasons, came into being such of the stars as in their heavenly progress received reversals of motion, to the end that the created heaven might imitate the eternal nature, and be as like as possible to the perfect and intelligible animal. TIMAEUS

This new beginning of our discussion of the universe requires a fuller division than the former ; for then we made two classes, now a third must be revealed. The two sufficed for the former discussion : one, which we assumed, was a pattern intelligible and always the same ; and the second was only the imitation of the pattern, generated and visible. There is also a third kind which we did not distinguish at the time, conceiving that the two would be enough. But now the argument seems to require that we should set forth in words another kind, which is difficult of explanation and dimly seen. What nature are we to attribute to this new kind of being ? We reply, that it is the receptacle, and in a manner the nurse, of all generation. I have spoken the truth ; but I must express myself in clearer language, and this will be an arduous task for many reasons, and in particular because I must first raise questions concerning fire and the other elements, and determine what each of them is ; for to say, with any probability or certitude, which of them should be called water rather than fire, and which should be called any of them rather than all or some one of them, is a difficult matter. How, then, shall we settle this point, and what questions about the elements may be fairly raised ? TIMAEUS

In the first place, we see that what we just now called water, by condensation, I suppose, becomes stone and earth ; and this same element, when melted and dispersed, passes into vapour and air. Air, again, when inflamed, becomes fire ; and again fire, when condensed and extinguished, passes once more into the form of air ; and once more, air, when collected and condensed, produces cloud and mist ; and from these, when still more compressed, comes flowing water, and from water comes earth and stones once more ; and thus generation appears to be transmitted from one to the other in a circle. Thus, then, as the several elements never present themselves in the same form, how can any one have the assurance to assert positively that any of them, whatever it may be, is one thing rather than another ? No one can. But much the safest plan is to speak of them as follows : — Anything which we see to be continually changing, as, for example, fire, we must not call "this" or "that," but rather say that it is "of such a nature" ; nor let us speak of water as "this" ; but always as "such" ; nor must we imply that there is any stability in any of those things which we indicate by the use of the words "this" and "that," supposing ourselves to signify something thereby ; for they are too volatile to be detained in any such expressions as "this," or "that," or "relative to this," or any other mode of speaking which represents them as permanent. We ought not to apply "this" to any of them, but rather the word "such" ; which expresses the similar principle circulating in each and all of them ; for example, that should be called "fire" which is of such a nature always, and so of everything that has generation. That in which the elements severally grow up, and appear, and decay, is alone to be called by the name "this" or "that" ; but that which is of a certain nature, hot or white, or anything which admits of opposite equalities, and all things that are compounded of them, ought not to be so denominated. Let me make another attempt to explain my meaning more clearly. Suppose a person to make all kinds of figures of gold and to be always transmuting one form into all the rest — somebody points to one of them and asks what it is. By far the safest and truest answer is, That is gold ; and not to call the triangle or any other figures which are formed in the gold "these," as though they had existence, since they are in process of change while he is making the assertion ; but if the questioner be willing to take the safe and indefinite expression, "such," we should be satisfied. And the same argument applies to the universal nature which receives all bodies — that must be always called the same ; for, while receiving all things, she never departs at all from her own nature, and never in any way, or at any time, assumes a form like that of any of the things which enter into her ; she is the natural recipient of all impressions, and is stirred and informed by them, and appears different from time to time by reason of them. But the forms which enter into and go out of her are the likenesses of real existences modelled after their patterns in wonderful and inexplicable manner, which we will hereafter investigate. For the present we have only to conceive of three natures : first, that which is in process of generation ; secondly, that in which the generation takes place ; and thirdly, that of which the thing generated is a resemblance. And we may liken the receiving principle to a mother, and the source or spring to a father, and the intermediate nature to a child ; and may remark further, that if the model is to take every variety of form, then the matter in which the model is fashioned will not be duly prepared, unless it is formless, and free from the impress of any of these shapes which it is hereafter to receive from without. For if the matter were like any of the supervening forms, then whenever any opposite or entirely different nature was stamped upon its surface, it would take the impression badly, because it would intrude its own shape. Wherefore, that which is to receive all forms should have no form ; as in making perfumes they first contrive that the liquid substance which is to receive the scent shall be as inodorous as possible ; or as those who wish to impress figures on soft substances do not allow any previous impression to remain, but begin by making the surface as even and smooth as possible. In the same way that which is to receive perpetually and through its whole extent the resemblances of all eternal beings ought to be devoid of any particular form. Wherefore, the mother and receptacle of all created and visible and in any way sensible things, is not to be termed earth, or air, or fire, or water, or any of their compounds or any of the elements from which these are derived, but is an invisible and formless being which receives all things and in some mysterious way partakes of the intelligible, and is most incomprehensible. In saying this we shall not be far wrong ; as far, however, as we can attain to a knowledge of her from the previous considerations, we may truly say that fire is that part of her nature which from time to time is inflamed, and water that which is moistened, and that the mother substance becomes earth and air, in so far as she receives the impressions of them. TIMAEUS

Let us consider this question more precisely. Is there any self-existent fire ? and do all those things which we call self-existent exist ? or are only those things which we see, or in some way perceive through the bodily organs, truly existent, and nothing whatever besides them ? And is all that which, we call an intelligible essence nothing at all, and only a name ? Here is a question which we must not leave unexamined or undetermined, nor must we affirm too confidently that there can be no decision ; neither must we interpolate in our present long discourse a digression equally long, but if it is possible to set forth a great principle in a few words, that is just what we want. TIMAEUS

Such is the nature of the liver, which is placed as we have described in order that it may give prophetic intimations. During the life of each individual these intimations are plainer, but after his death the liver becomes blind, and delivers oracles too obscure to be intelligible. The neighbouring organ [the spleen] is situated on the left-hand side, and is constructed with a view of keeping the liver bright and pure — like a napkin, always ready prepared and at hand to clean the mirror. And hence, when any impurities arise in the region of the liver by reason of disorders of the body, the loose nature of the spleen, which is composed of a hollow and bloodless tissue, receives them all and dears them away, and when filled with the unclean matter, swells and festers, but, again, when the body is purged, settles down into the same place as before, and is humbled. TIMAEUS

Cle. I think, Stranger, that the aim of our institutions is easily intelligible to any one. Look at the character of our country : Crete is not like Thessaly, a large plain ; and for this reason they have horsemen in Thessaly, and we have runners — the inequality of the ground in our country is more adapted to locomotion on foot ; but then, if you have runners you must have light arms — no one can carry a heavy weight when running, and bows and arrows are convenient because they are light. Now all these regulations have been made with a view to war, and the legislator appears to me to have looked to this in all his arrangements : — the common meals, if I am not mistaken, were instituted by him for a similar reason, because he saw that while they are in the field the citizens are by the nature of the case compelled to take their meals together for the sake of mutual protection. He seems to me to have thought the world foolish in not understanding that all are always at war with one another ; and if in war there ought to be common meals and certain persons regularly appointed under others to protect an army, they should be continued in peace. For what men in general term peace would be said by him to be only a name ; in reality every city is in a natural state of war with every other, not indeed proclaimed by heralds, but everlasting. And if you look closely, you will find that this was the intention of the Cretan legislator ; all institutions, private as well as public, were arranged by him with a view to war ; in giving them he was under the impression that no possessions or institutions are of any value to him who is defeated in battle ; for all the good things of the conquered pass into the hands of the conquerors. LAWS BOOK I

Ath. All freemen, I conceive, should learn as much of these branches of knowledge as every child in Egypt is taught when he learns the alphabet. In that country arithmetical games have been invented for the use of mere children, which they learn as a pleasure and amusement. They have to distribute apples and garlands, using the same number sometimes for a larger and sometimes for a lesser number of persons ; and they arrange pugilists, and wrestlers as they pair together by lot or remain over, and show how their turns come in natural order. Another mode of amusing them is to distribute vessels, sometimes of gold, brass, silver, and the like, intermixed with one another, sometimes of one metal only ; as I was saying they adapt to their amusement the numbers in common use, and in this way make more intelligible to their pupils the arrangements and movements of armies and expeditions, in the management of a household they make people more useful to themselves, and more wide awake ; and again in measurements of things which have length, and breadth, and depth, they free us from that natural ignorance of all these things which is so ludicrous and disgraceful. LAWS BOOK VII

What do you mean, Socrates ? said Glaucon. The first two modes of payment are intelligible enough, but what the penalty is I do not understand, or how a penalty can be a payment. THE REPUBLIC   BOOK I

Then I must make you understand ; and perhaps I may be more intelligible if I put the matter in this way. You are aware, I suppose, that all mythology and poetry are a narration of events, either past, present, or to come ? THE REPUBLIC BOOK III

You have to Imagine, then, that there are two ruling powers, and that one of them is set over the intellectual world, the other over the visible. I do not say heaven, lest you should fancy that I am playing upon the name (ovpavos, opatos). May I suppose that you have this distinction of the visible and intelligible fixed in your mind ? THE REPUBLIC BOOK VI

Now take a line which has been cut into two unequal parts, and divide each of them again in the same proportion, and suppose the two main divisions to answer, one to the visible and the other to the intelligible, and then compare the subdivisions in respect of their clearness and want of clearness, and you will find that the first section in the sphere of the visible consists of images. And by images I mean, in the first place, shadows, and in the second place, reflections in water and in solid, smooth and polished bodies and the like : Do you understand ? THE REPUBLIC BOOK VI

And of this kind I spoke as the intelligible, although in the search after it the soul is compelled to use hypotheses ; not ascending to a first principle, because she is unable to rise above the region of hypothesis, but employing the objects of which the shadows below are resemblances in their turn as images, they having in relation to the shadows and reflections of them a greater distinctness, and therefore a higher value. THE REPUBLIC BOOK VI

And when I speak of the other division of the intelligible, you will understand me to speak of that other sort of knowledge which reason herself attains by the power of dialectic, using the hypotheses not as first principles, but only as hypotheses — that is to say, as steps and points of departure into a world which is above hypotheses, in order that she may soar beyond them to the first principle of the whole ; and clinging to this and then to that which depends on this, by successive steps she descends again without the aid of any sensible object, from ideas, through ideas, and in ideas she ends. THE REPUBLIC BOOK VI

And thus arose the distinction of the visible and the intelligible. THE REPUBLIC BOOK VII