(15) The same holds also of astronomy. For treating of the description of the celestial objects, about the form of the universe, and the revolution of the heavens, and the motion of the stars, leading the soul nearer to the creative power, it teaches to quickness in perceiving the seasons of the year, the changes of the air, and the appearance of the stars; since also navigation and husbandry derive from this much benefit, as architecture and building from geometry. This branch of learning, too, makes the soul in the highest degree observant, capable of perceiving the true and detecting the false, of discovering correspondences and proportions, so as to hunt out for similarity in things dissimilar; and conducts us to the discovery of length without breadth, and superficial extent without thickness, and an indivisible point, and transports to intellectual objects from those of sense.

(1) If, however, it be necessary, dismissing these particulars, to speak what appears to me to be the truth, you do not rightly infer “ that a knowledge of this mathematical science cannot be obtained, because there is much dissonance concerning it, or because Chæremon, or some other, has written against it .” For if this reason were admitted, all things will be incomprehensible. For all sciences have ten thousand controvertists, and the doubts with which they are attended are innumerable. As, therefore, we are accustomed to say in opposition to the contentious, that contraries in things that are true are naturally discordant, and that it is not falsities alone that are hostile to each other; thus, also, we say respecting this mathematical science, that it is indeed true; but that those who wander from the scope of it, being ignorant of the truth, contradict it. This, however happens not in this science alone, but likewise in all the sciences, which are imparted by the Gods to men.

(1) For to him knowledge (gnosis) is the principal thing. Consequently, therefore, he applies to the subjects that are a training for knowledge, taking from each branch of study its contribution to the truth. Prosecuting, then, the proportion of harmonies in music; and in arithmetic noting the increasing and decreasing of numbers, and their relations to one another, and how the most of things fall under some proportion of numbers; studying geometry, which is abstract essence, he perceives a continuous distance, and an immutable essence which is different from these bodies. And by astronomy, again, raised from the earth in his mind, he is elevated along with heaven, and will revolve with its revolution; studying ever divine things, and their harmony with each other; from which Abraham starting, ascended to the knowledge of Him who created them.

(11) Now as to the arts and crafts and their productions:

The imitative arts- painting, sculpture, dancing, pantomimic gesturing- are, largely, earth-based; on an earthly base; they follow models found in sense, since they copy forms and movements and reproduce seen symmetries; they cannot therefore be referred to that higher sphere except indirectly, through the Reason-Principle in humanity.

On the other hand any skill which, beginning with the observation of the symmetry of living things, grows to the symmetry of all life, will be a portion of the Power There which observes and meditates the symmetry reigning among all beings in the Intellectual Kosmos. Thus all music- since its thought is upon melody and rhythm- must be the earthly representation of the music there is in the rhythm of the Ideal Realm.

The crafts, such as building and carpentry which give us Matter in wrought forms, may be said, in that they draw on pattern, to take their principles from that realm and from the thinking There: but in that they bring these down into contact with the sense-order, they are not wholly in the Intellectual: they are founded in man. So agriculture, dealing with material growths: so medicine watching over physical health; so the art which aims at corporeal strength and well-being: power and well-being mean something else There, the fearlessness and self-sufficing quality of all that lives.

Oratory and generalship, administration and sovereignty- under any forms in which their activities are associated with Good and when they look to that- possess something derived thence and building up their knowledge from the knowledge There.

Geometry, the science of the Intellectual entities, holds place There: so, too, philosophy, whose high concern is Being.

For the arts and products of art, these observations may suffice.

(8) But, we need not record in memory all we see; mere incidental concomitants need not occupy the imagination; when things vividly present to intuition, or knowledge, happen to occur in concrete form, it is not necessary- unless for purposes of a strictly practical administration- to pass over that direct acquaintance, and fasten upon the partial sense-presentation, which is already known in the larger knowledge, that of the Universe.

I will take this point by point:

First: it is not essential that everything seen should be laid up in the mind; for when the object is of no importance, or of no personal concern, the sensitive faculty, stimulated by the differences in the objects present to vision, acts without accompaniment of the will, and is alone in entertaining the impression. The soul does not take into its deeper recesses such differences as do not meet any of its needs, or serve any of its purposes. Above all, when the soul's act is directed towards another order, it must utterly reject the memory of such things, things over and done with now, and not even taken into knowledge when they were present.

On the second point: circumstances, purely accidental, need not be present to the imaging faculty, and if they do so appear they need not be retained or even observed, and in fact the impression of any such circumstance does not entail awareness. Thus in local movement, if there is no particular importance to us in the fact that we pass through first this and then that portion of air, or that we proceed from some particular point, we do not take notice, or even know it as we walk. Similarly, if it were of no importance to us to accomplish any given journey, mere movement in the air being the main concern, we would not trouble to ask at what particular point of place we were, or what distance we had traversed; if we have to observe only the act of movement and not its duration, nothing to do which obliges us to think of time, the minutes are not recorded in our minds.

And finally, it is of common knowledge that, when the understanding is possessed of the entire act undertaken and has no reason to foresee any departure from the normal, it will no longer observe the detail; in a process unfailingly repeated without variation, attention to the unvarying detail is idleness.

So it is with the stars. They pass from point to point, but they move on their own affairs and not for the sake of traversing the space they actually cover; the vision of the things that appear on the way, the journey by, nothing of this is their concern: their passing this or that is of accident not of essence, and their intention is to greater objects: moreover each of them journeys, unchangeably, the same unchanging way; and again, there is no question to them of the time they spend in any given section of the journey, even supposing time division to be possible in the case. All this granted, nothing makes it necessary that they should have any memory of places or times traversed. Besides this life of the ensouled stars is one identical thing so that their very spatial movement is pivoted upon identity and resolves itself into a movement not spatial but vital, the movement of a single living being whose act is directed to itself, a being which to anything outside is at rest, but is in movement by dint of the inner life it possesses, the eternal life. Or we may take the comparison of the movement of the heavenly bodies to a choral dance; if we think of it as a dance which comes to rest at some given period, the entire dance, accomplished from beginning to end, will be perfect while at each partial stage it was imperfect: but if the dance is a thing of eternity, it is in eternal perfection. And if it is in eternal perfection, it has no points of time and place at which it will achieve perfection; it will, therefore, have no concern about attaining to any such points: it will, therefore, make no measurements of time or place; it will have, therefore, no memory of time and place.

If the stars live a blessed life in their vision of the life inherent in their souls, and if, by force of their souls' tendency to become one, and by the light they cast from themselves upon the entire heavens, they are like the strings of a lyre which, being struck in tune, sing a melody in some natural scale... if this is the way the heavens, as one, are moved, and the component parts in their relation to the whole- the sidereal system moving as one, and each part in its own way, to the same purpose, though each, too, hold its own place- then our doctrine is all the more surely established; the life of the heavenly bodies is the more clearly an unbroken unity.

(47) Timaeus: the perturbable to the imperturbable; and that, through learning and sharing in calculations which are correct by their nature, by imitation of the absolutely unvarying revolutions of the God we might stabilize the variable revolutions within ourselves. Concerning sound also and hearing, once more we make the same declaration, that they were bestowed by the Gods with the same object and for the same reasons; for it was for these same purposes that speech was ordained, and it makes the greatest contribution thereto; music too, in so far as it uses audible sound,