Passages similar to: The Six Enneads — Why Distant Objects Appear Small
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Neoplatonic
The Six Enneads
Why Distant Objects Appear Small (2)
The explanation by lesser angle of vision has been elsewhere dismissed; one point, however, we may urge here. Those attributing the reduced appearance to the lesser angle occupied allow by their very theory that the unoccupied portion of the eye still sees something beyond or something quite apart from the object of vision, if only air-space. Now consider some very large object of vision, that mountain for example. No part of the eye is unoccupied; the mountain adequately fills it so that it can take in nothing beyond, for the mountain as seen either corresponds exactly to the eye-space or stretches away out of range to right and to left. How does the explanation by lesser angle of vision hold good in this case, where the object still appears smaller, far, than it is and yet occupies the eye entire? Or look up to the sky and no hesitation can remain. Of course we cannot take in the entire hemisphere at one glance; the eye directed to it could not cover so vast an expanse. But suppose the possibility: the entire eye, then, embraces the hemisphere entire; but the expanse of the heavens is far greater than it appears; how can its appearing far less than it is be explained by a lessening of the angle of vision?
An illustration will make my meaning clearer:—here are three fingers—a little finger, a second finger, and a middle finger. Very good. You may suppose...
(523) do not pass from one sensation to the opposite; inviting objects are those which do; in this latter case the sense coming upon the object, whether at a distance or near, gives no more vivid idea of anything in particular than of its opposite. An illustration will make my meaning clearer:—here are three fingers—a little finger, a second finger, and a middle finger. Very good. You may suppose that they are seen quite close: And here comes the point. What is it? Each of them equally appears a finger, whether seen in the middle or at the extremity, whether white or black, or thick or thin—it makes no difference; a finger is a finger all the same. In these cases a man is not compelled to ask of thought the question what is a finger? for the sight never intimates to the mind that a finger is other than a finger. True. And therefore, I said, as we might expect, there is nothing here which invites or excites intelligence. There is not, he said. But is this equally true of the greatness and smallness of the fingers? Can sight adequately perceive them? and is no difference made by the circumstance that one of the fingers is in the middle and another at the extremity? And in like manner does the touch adequately perceive the qualities of thickness or thinness, of softness or hardness? And so of the other senses; do they give perfect intimations of such matters?
Besides, if rarity were of this dimness The cause thou askest, either through and through This planet thus attenuate were of matter, Or else, as in a...
(4) Besides, if rarity were of this dimness The cause thou askest, either through and through This planet thus attenuate were of matter, Or else, as in a body is apportioned The fat and lean, so in like manner this Would in its volume interchange the leaves. Were it the former, in the sun's eclipse It would be manifest by the shining through Of light, as through aught tenuous interfused. This is not so; hence we must scan the other, And if it chance the other I demolish, Then falsified will thy opinion be. But if this rarity go not through and through, There needs must be a limit, beyond which Its contrary prevents the further passing, And thence the foreign radiance is reflected, Even as a colour cometh back from glass, The which behind itself concealeth lead. Now thou wilt say the sunbeam shows itself More dimly there than in the other parts, By being there reflected farther back. From this reply experiment will free thee If e'er thou try it, which is wont to be The fountain to the rivers of your arts.
[Now,] seeing that the hollow roundness of the Cosmos is borne round into the fashion of a sphere; by reason of its [very] quality or form, it never...
(2) [Now,] seeing that the hollow roundness of the Cosmos is borne round into the fashion of a sphere; by reason of its [very] quality or form, it never can be altogether visible unto itself. So that, however high a place in it thou shouldest choose for looking down below, thou could’st not see from it what is at bottom, because in many places it confronts [the senses], and so is thought to have the quality [of being visible throughout]. For it is solely owing to the forms of species, with images of which it seems insculpted, that it is thought [to be] as though ’twere visible [throughout]; but as a fact ’tis ever to itself invisible.
"Very well," replied the Spirit of the River, "am I then to regard the universe as great and the tip of a hair as small?" "Not at all," said the...
(3) "Very well," replied the Spirit of the River, "am I then to regard the universe as great and the tip of a hair as small?" "Not at all," said the Spirit of the Ocean. "Dimensions are limitless; time is endless. Conditions are not invariable; terms are not final. Thus, the wise man looks into space, and does not regard the small as too little, nor the great as too much; for he knows that there is no limit to dimension. He looks back into the past, and does not grieve over what is far off, nor rejoice over what is near; for he knows that time is without end. He investigates fulness and decay, and does not rejoice if he succeeds, nor lament if he fails; for he knows that conditions are not invariable. He who clearly apprehends the scheme of existence, does not rejoice over life, nor repine at death; for he knows that terms are not final. "What man knows is not to be compared with what he does not know. The span of his existence is not to be compared with the span of his non-existence. With the small to strive to exhaust the great, necessarily lands him in confusion, and he does not attain his object. How then should one be able to say that the tip of a hair is the ne plus ultra of smallness, or that the universe is the ne plus ultra of greatness?"
I acknowledge, he said, the justice of your rebuke. Still, I should like to ascertain how astronomy can be learned in any manner more conducive to tha...
(529) nothing of that sort is matter of science; his soul is looking downwards, not upwards, whether his way to knowledge is by water or by land, whether he floats, or only lies on his back. I acknowledge, he said, the justice of your rebuke. Still, I should like to ascertain how astronomy can be learned in any manner more conducive to that knowledge of which we are speaking? I will tell you, I said: The starry heaven which we behold is wrought upon a visible ground, and therefore, although the fairest and most perfect of visible things, must necessarily be deemed inferior far to the true motions of absolute swiftness and absolute slowness, which are relative to each other, and carry with them that which is contained in them, in the true number and in every true figure. Now, these are to be apprehended by reason and intelligence, but not by sight. True, he replied. The spangled heavens should be used as a pattern and with a view to that higher knowledge; their beauty is like the beauty of figures or pictures excellently wrought by the hand of Daedalus, or some other great artist, which we may chance to behold; any geometrician who saw them would appreciate the exquisiteness of their workmanship, but he would never dream of thinking that in them he could find the true equal or the true double, or the truth of any
"Dialecticians of the day," replied the Spirit of the River, "all say that the infinitesimally small has no form, and that the infinitesimally great...
(4) "Dialecticians of the day," replied the Spirit of the River, "all say that the infinitesimally small has no form, and that the infinitesimally great is beyond all measurement. Is that so?" "If we regard greatness as compared with that which is small," said the Spirit of the Ocean, "there is no limit to it; and if we regard smallness as compared with that which is great, it eludes our sight. The infinitesimal is a subdivision of the small; the colossal is an extension of the great. In this sense the two fall into different categories. "Both small and great things must equally possess form. The mind cannot picture to itself a thing without form, nor conceive a form of unlimited dimensions. The greatness of anything may be a topic of discussion, or the smallness of anything may be mentally realized. But that which can be neither a topic of discussion nor be realized mentally, can be neither great nor small.
Chapter XII: God Cannot Be Embraced in Words or By the Mind. (2)
And he adds more clearly: "Him see I not, for round about, a cloud Has settled; for in mortal eyes are small, And mortal pupils - only flesh and bones...
(2) And he adds more clearly: "Him see I not, for round about, a cloud Has settled; for in mortal eyes are small, And mortal pupils - only flesh and bones grow there."
Following the path pointed out by the wise, the seeker after truth ultimately attains to the summit of wisdom's mount, and gazing down, beholds the...
(33) Following the path pointed out by the wise, the seeker after truth ultimately attains to the summit of wisdom's mount, and gazing down, beholds the panorama of life spread out before him. The cities of the plains are but tiny specks and the horizon on every hand is obscured by the gray haze of the Unknown. Then the soul realizes that wisdom lies in breadth of vision; that it increases in comparison to the vista. Then as man's thoughts lift him heavenward, streets are lost in cities, cities in nations, nations in continents, continents in the earth, the earth in space, and space in an infinite eternity, until at last but two things remain: the Self and the goodness of God.
As long as this difference in the perceptive faculty of observers exists, disputes must necessarily go on. It is as if some blind men, hearing that...
(10) As long as this difference in the perceptive faculty of observers exists, disputes must necessarily go on. It is as if some blind men, hearing that an elephant had come to their town, should go and examine it. The only knowledge of it which they can obtain comes through the sense of touch; so one handles the animal's leg, another his tusk, another his ear, and, according to their several perceptions, pronounce it to be a column, a thick pole, or a quilt, each taking a part for the whole. So the physicist and astronomer confound the laws they perceive with the Lawgiver. A similar mistake is attributed to Abraham in the Koran, where it is related that he turned successively to stars, moon, and sun as the objects of his worship, till grown aware of Him who made all these, he exclaimed, "I love not them that set."
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...
(510) 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? Yes, I understand. Imagine, now, the other section, of which this is only the resemblance, to include the animals which we see, and everything that grows or is made. Very good. Would you not admit that both the sections of this division have different degrees of truth, and that the copy is to the original as the sphere of opinion is to the sphere of knowledge? Most undoubtedly. Next proceed to consider the manner in which the sphere of the intellectual is to be divided. In what manner? Thus:—There are two subdivisions, in the lower of which the soul uses the figures given by the former division as images; the enquiry can only be hypothetical, and instead of going upwards to a principle descends to the other end; in the higher of the two, the soul passes out of hypotheses, and goes up to a principle which is above hypotheses, making no use of images 14 as in the former case, but proceeding only in and through the ideas themselves. I do not quite understand your meaning, he said. Then I will try again; you will understand me better when I have made some preliminary remarks. You are aware that students of geometry, arithmetic, and the kindred sciences assume the odd and the even and the figures and three kinds of angles and the like in their several branches of science; these are their hypotheses, which they and every body are supposed to know, and therefore they do not deign to give any account of them either to themselves or others;
I agree in what you are saying, he replied, which may be hard to believe, yet, from another point of view, is harder still to deny. This, however, is ...
(532) even with their weak eyes the images 6 in the water (which are divine), and are the shadows of true existence (not shadows of images cast by a light of fire, which compared with the sun is only an image)—this power of elevating the highest principle in the soul to the contemplation of that which is best in existence, with which we may compare the raising of that faculty which is the very light of the body to the sight of that which is brightest in the material and visible world—this power is given, as I was saying, by all that study and pursuit of the arts which has been described. I agree in what you are saying, he replied, which may be hard to believe, yet, from another point of view, is harder still to deny. This, however, is not a theme to be treated of in passing only, but will have to be discussed again and again. And so, whether our conclusion be true or false, let us assume all this, and proceed at once from the prelude or preamble to the chief strain 7 , and describe that in like manner. Say, then, what is the nature and what are the divisions of dialectic, and what are the paths which lead thither; for these paths will also lead to our final rest.
In consequence our vision, which perforce Must be some ray of that intelligence With which all things whatever are replete, Cannot in its own nature b...
(3) And hence appears it, that each minor nature Is scant receptacle unto that good Which has no end, and by itself is measured. In consequence our vision, which perforce Must be some ray of that intelligence With which all things whatever are replete, Cannot in its own nature be so potent, That it shall not its origin discern Far beyond that which is apparent to it. Therefore into the justice sempiternal The power of vision that your world receives, As eye into the ocean, penetrates; Which, though it see the bottom near the shore, Upon the deep perceives it not, and yet 'Tis there, but it is hidden by the depth. There is no light but comes from the serene That never is o'ercast, nay, it is darkness Or shadow of the flesh, or else its poison. Amply to thee is opened now the cavern Which has concealed from thee the living justice Of which thou mad'st such frequent questioning. For saidst thou: 'Born a man is on the shore Of Indus, and is none who there can speak Of Christ, nor who can read, nor who can write;
Glaucon said, with a ludicrous earnestness: By the light of heaven, how amazing! Yes, I said, and the exaggeration may be set down to you; for you...
(509) Glaucon said, with a ludicrous earnestness: By the light of heaven, how amazing! Yes, I said, and the exaggeration may be set down to you; for you made me utter my fancies. And pray continue to utter them; at any rate let us hear if there is anything more to be said about the similitude of the sun. Yes, I said, there is a great deal more. Then omit nothing, however slight. I will do my best, I said; but I should think that a great deal will have to be omitted. I hope not, he said. 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 ( οὐρανός, ὁρατός ). May I suppose that you have this distinction of the visible and intelligible fixed in your mind? I have. Now take a line which has been cut into two unequal 13 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
Timaeus: than which no greater boon ever has come or will come, by divine bestowal, unto the race of mortals. This I affirm to be the greatest good...
(47) Timaeus: than which no greater boon ever has come or will come, by divine bestowal, unto the race of mortals. This I affirm to be the greatest good of eyesight. As for all the lesser goods, why should we celebrate them? He that is no philosopher when deprived of the sight thereof may utter vain lamentations! But the cause and purpose of that best good, as we must maintain, is this,—that God devised and bestowed upon us vision to the end that we might behold the revolutions of Reason in the Heaven and use them for the revolvings of the reasoning that is within us, these being akin to those,
Nothing of the sort. No, indeed, I replied; and the same is true of most, if not all, the other senses—you would not say that any of them requires suc...
(507) additional nature in order that the one may be able to hear and the other to be heard? Nothing of the sort. No, indeed, I replied; and the same is true of most, if not all, the other senses—you would not say that any of them requires such an addition? Certainly not. But you see that without the addition of some other nature there is no seeing or being seen? How do you mean? Sight being, as I conceive, in the eyes, and he who has eyes wanting to see; colour being also present in them, still unless there be a third nature specially adapted to the purpose, the owner of the eyes will see nothing and the colours will be invisible. Of what nature are you speaking? Of that which you term light, I replied. True, he said. Noble, then, is the bond which links together sight and visibility, and great beyond other bonds by no small difference of nature; for light is their bond, and light is no ignoble thing? Nay, he said, the reverse of ignoble. And which, I said, of the gods in heaven would you say was the lord of this element? Whose is that light which makes the eye to see perfectly and the visible to appear? You mean the sun, as you and all mankind say. May not the relation of sight to this deity be described as follows? How?
(508) Neither sight nor the eye in which sight resides is the sun? No. Yet of all the organs of sense the eye is the most like the sun? By far the most like. And the power which the eye possesses is a sort of effluence which is dispensed from the sun? Exactly. Then the sun is not sight, but the author of sight who is recognised by sight? True, he said. And this is he whom I call the child of the good, whom the good begat in his own likeness, to be in the visible world, in relation to sight and the things of sight, what the good is in the intellectual world in relation to mind and the things of mind: Will you be a little more explicit? he said. Why, you know, I said, that the eyes, when a person directs them towards objects on which the light of day is no longer shining, but the moon and stars only, see dimly, and are nearly blind; they seem to have no clearness of vision in them? Very true. But when they are directed towards objects on which the sun shines, they see clearly and there is sight in them? Certainly. And the soul is like the eye: when resting upon that on which truth and being shine, the soul perceives and understands, and is radiant with intelligence; but when turned towards the twilight of becoming and perishing, then she has opinion only, and goes blinking about, and is first of one opinion and then of another, and seems to have no intelligence? Just so.
Now on the subject of a “Void,” —which seems to almost all a thing of vast importance,—I hold the following view. Naught is, naught could have been,...
(1) Now on the subject of a “Void,” —which seems to almost all a thing of vast importance,—I hold the following view. Naught is, naught could have been, naught ever will be void. For all the members of the Cosmos are completely full; so that Cosmos itself is full and [quite] complete with bodies, diverse in quality and form, possessing each its proper kind and size. And of these bodies—one’s greater than another, or another’s less than is another, by difference of strength and size. Of course, the stronger of them are more easily perceived, just as the larger [are]. The lesser ones, however, or the more minute, can scarcely be perceived, or not at all—those which we know are things [at all] by sense of touch alone. Whence many come to think they are not bodies, and that there are void spaces,—which is impossible.