(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.

(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) [Trismegistus] ’Tis in this way, Asclepius;—by mixing it, by means of subtle expositions, with divers sciences not easy to be grasped,—such as arithmetic, and music, and geometry. But Pure Philosophy, which doth depend on godly piety alone, should only so far occupy itself with other arts, that it may [know how to] appreciate the working out in numbers of the fore-appointed stations of the stars when they return, and of the course of their procession. Let her, moreover, know how to appreciate the Earth’s dimensions, its qualities and quantities, the Water’s depths, the strength of Fire, and the effects and nature of all these. [And so] let her give worship and give praise unto the Art and Mind of God.

(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.

(3) The metaphysician, equipped by that very character, winged already and not like those others, in need of disengagement, stirring of himself towards the supernal but doubting of the way, needs only a guide. He must be shown, then, and instructed, a willing wayfarer by his very temperament, all but self-directed.

Mathematics, which as a student by nature he will take very easily, will be prescribed to train him to abstract thought and to faith in the unembodied; a moral being by native disposition, he must be led to make his virtue perfect; after the Mathematics he must be put through a course in Dialectic and made an adept in the science.

(3) Those who are wise in mind have a certain attribute of nature peculiar to themselves; and they who have shown themselves capable, receive from the Supreme Wisdom a spirit of perception in double measure. For those who practise the common arts, are in what pertains to the senses highly gifted: in hearing, he who is commonly called a musician; in touch, he who moulds clay; in voice the singer, in smell the perfumer, in sight the engraver of devices on seals. Those also that are occupied in instruction, train the sensibility according to which the poets are susceptible to the influence of measure; the sophists apprehend expression; the dialecticians, syllogisms; and the philosophers are capable of the contemplation of which themselves are the objects. For sensibility finds and invents; since it persuasively exhorts to application. And practice will increase the application which has knowledge for its end. With reason, therefore, the apostle has called the wisdom of God" manifold," and which has manifested its power "in many departments and in many modes" - by art, by knowledge, by faith, by prophecy - for our benefit. "For all wisdom is from the Lord, and is with Him for ever," as says the wisdom of Jesus.

(525) And they appear to lead the mind towards truth? Yes, in a very remarkable manner. Then this is knowledge of the kind for which we are seeking, having a double use, military and philosophical; for the man of war must learn the art of number or he will not know how to array his troops, and the philosopher also, because he has to rise out of the sea of change and lay hold of true being, and therefore he must be an arithmetician. That is true. And our guardian is both warrior and philosopher? Certainly. Then this is a kind of knowledge which legislation may fitly prescribe; and we must endeavour to persuade those who are to be the principal men of our State to go and learn arithmetic, not as amateurs, but they must carry on the study until they see the nature of numbers with the mind only; nor again, like merchants or retail-traders, with a view to buying or selling, but for the sake of their military use, and of the soul herself; and because this will be the easiest way for her to pass from becoming to truth and being. That is excellent, he said. Yes, I said, and now having spoken of it, I must add how charming the science is! and in how many ways it conduces to our desired end, if pursued in the spirit of a philosopher, and not of a shopkeeper! How do you mean? I mean, as I was saying, that arithmetic has a very great and elevating effect, compelling the soul to reason about abstract number, and rebelling against the introduction of visible or tangible objects into the argument. You know

(1) The readiness acquired by previous training conduces much to the perception of such things as are requisite; but those things which can be perceived only by mind are the special exercise for the mind. And their nature is triple according as we consider their quantity, their magnitude, and what can be predicated of them. For the discourse which consists of demonstrations, implants in the spirit of him who follows it, clear faith; so that he cannot conceive of that which is demonstrated being different; and so it does not allow us to succumb to those who assail us by fraud. In such studies, therefore, the soul is purged from sensible things, and is excited, so as to be able to see truth distinctly. For nutriment, and the training which is maintained gentle, make noble natures I; and noble natures, when they have received such training, become still better than before both in other respects, but especially in productiveness, as is the case with the other creatures. Wherefore it is mid, "Go to the ant, thou sluggard, and become wiser than it, which provideth much and, varied food in the harvest against the inclemency of winter." Or go to the bee, and learn how laborious she is; for she, feeding on the whole meadow, produces one honey-comb.

(526) And indeed, you will not easily find a more difficult study, and not many as difficult. You will not. And, for all these reasons, arithmetic is a kind of knowledge in which the best natures should be trained, and which must not be given up. I agree. Let this then be made one of our subjects of education. And next, shall we enquire whether the kindred science also concerns us? You mean geometry? Exactly so. Clearly, he said, we are concerned with that part of geometry which relates to war; for in pitching a camp, or taking up a position, or closing or extending the lines of an army, or any other military manoeuvre, whether in actual battle or on a march, it will make all the difference whether a general is or is not a geometrician. Yes, I said, but for that purpose a very little of either geometry or calculation will be enough; the question relates rather to the greater and more advanced part of geometry— whether that tends in any degree to make more easy the vision of the idea of good; and thither, as I was saying, all things tend which compel the soul to turn her gaze towards that place, where is the full perfection of being, which she ought, by all means, to behold. True, he said. Then if geometry compels us to view being, it concerns us; if becoming only, it does not concern us?

(527) Yes, that is what we assert. Yet anybody who has the least acquaintance with geometry will not deny that such a conception of the science is in flat contradiction to the ordinary language of geometricians. How so? They have in view practice only, and are always speaking, in a narrow and ridiculous manner, of squaring and extending and applying and the like—they confuse the necessities of geometry with those of daily life; whereas knowledge is the real object of the whole science. Certainly, he said. Then must not a further admission be made? What admission? That the knowledge at which geometry aims is knowledge of the eternal, and not of aught perishing and transient. That, he replied, may be readily allowed, and is true. Then, my noble friend, geometry will draw the soul towards truth, and create the spirit of philosophy, and raise up that which is now unhappily allowed to fall down. Nothing will be more likely to have such an effect. Then nothing should be more sternly laid down than that the inhabitants of your fair city should by all means learn geometry. Moreover the science has indirect effects, which are not small. Of what kind? he said. There are the military advantages of which you spoke, I said; and in all departments of knowledge, as experience proves, any one who has studied geometry is infinitely quicker of apprehension than one who has not. Yes indeed, he said, there is an infinite difference between them. Then shall we propose this as a second branch of knowledge which our youth will study? Let us do so, he replied.

(13) So, the student of Hermetics need not lay aside any of his cherished scientific views regarding the Universe. All he is asked to do is to grasp the underlying principle of "THE ALL is Mind; the Universe is Mental--held in the mind of THE ALL." He will find that the other six of the Seven Principles will "fit into" his scientific knowledge, and will serve to bring out obscure points and to throw light in dark corners. This is not to be wondered at, when we realize the influence of the Hermetic thought of the early philosophers of Greece, upon whose foundations of thought the theories of modern science largely rest. The acceptance of the First Hermetic Principle (Mentalism) is the only great point of difference between Modern Science and Hermetic students, and Science is gradually moving toward the Hermetic position in its groping in the dark for a way out of the Labyrinth into which it has wandered in its search for Reality.

(1) Respecting the universe, he conceives truly and grandly in virtue of his reception of divine teaching. Beginning, then, with admiration of the Creation, and affording of himself a proof of his capability for receiving knowledge, he becomes a ready pupil of the Lord. Directly on hearing of God and Providence, he believed in consequence of ethe admiration he entertained. Through the power of impulse thence derived he devotes his energies in every way to learning, doing all those things by means of which he shall be able to acquire the knowledge of what he desires. And desire blended with inquiry arises as faith advances. And this is to become worthy of speculation, of such a character, and such importance. So shall the Gnostic taste of the will of God. For it is not his ears, but his soul, that he yields up to the things signified by what is spoken.

(2) The born lover, to whose degree the musician also may attain- and then either come to a stand or pass beyond- has a certain memory of beauty but, severed from it now, he no longer comprehends it: spellbound by visible loveliness he clings amazed about that. His lesson must be to fall down no longer in bewildered delight before some, one embodied form; he must be led, under a system of mental discipline, to beauty everywhere and made to discern the One Principle underlying all, a Principle apart from the material forms, springing from another source, and elsewhere more truly present. The beauty, for example, in a noble course of life and in an admirably organized social system may be pointed out to him- a first training this in the loveliness of the immaterial- he must learn to recognise the beauty in the arts, sciences, virtues; then these severed and particular forms must be brought under the one principle by the explanation of their origin. From the virtues he is to be led to the Intellectual-Principle, to the Authentic-Existent; thence onward, he treads the upward way.

(9) Ruling, then, over himself and what belongs to him, and possessing a sure grasp, of divine science, he makes a genuine approach to the truth. For the knowledge and apprehension of intellectual objects must necessarily be called certain scientific knowledge, whose function in reference to divine things is to consider what is the First Cause, and what that "by whom all things were made, and without whom nothing was made; " and what things, on the other hand, are as pervasive, and what is comprehensive; what conjoined, what disjoined; and what is the position which each one of them holds, and what power and what service each contributes. And again. among human things, what man himself is, and what he has naturally or preternaturally; and how, again, it becomes him to do or to suffer; and what are his virtues and what his vices; and about things good, bad, and indifferent; also about fortitude, and prudence, and self-restraint, and the virtue which is in all respects complete, namely, righteousness.

(1) What art is there, what method, what discipline to bring us there where we must go?

The Term at which we must arrive we may take as agreed: we have established elsewhere, by many considerations, that our journey is to the Good, to the Primal-Principle; and, indeed, the very reasoning which discovered the Term was itself something like an initiation.

But what order of beings will attain the Term?

Surely, as we read, those that have already seen all or most things, those who at their first birth have entered into the life-germ from which is to spring a metaphysician, a musician or a born lover, the metaphysician taking to the path by instinct, the musician and the nature peculiarly susceptible to love needing outside guidance.

But how lies the course? Is it alike for all, or is there a distinct method for each class of temperament?

For all there are two stages of the path, as they are making upwards or have already gained the upper sphere.

The first degree is the conversion from the lower life; the second- held by those that have already made their way to the sphere of the Intelligibles, have set as it were a footprint there but must still advance within the realm- lasts until they reach the extreme hold of the place, the Term attained when the topmost peak of the Intellectual realm is won.

But this highest degree must bide its time: let us first try to speak of the initial process of conversion.

We must begin by distinguishing the three types. Let us take the musician first and indicate his temperamental equipment for the task.

The musician we may think of as being exceedingly quick to beauty, drawn in a very rapture to it: somewhat slow to stir of his own impulse, he answers at once to the outer stimulus: as the timid are sensitive to noise so he to tones and the beauty they convey; all that offends against unison or harmony in melodies and rhythms repels him; he longs for measure and shapely pattern.

This natural tendency must be made the starting-point to such a man; he must be drawn by the tone, rhythm and design in things of sense: he must learn to distinguish the material forms from the Authentic-Existent which is the source of all these correspondences and of the entire reasoned scheme in the work of art: he must be led to the Beauty that manifests itself through these forms; he must be shown that what ravished him was no other than the Harmony of the Intellectual world and the Beauty in that sphere, not some one shape of beauty but the All-Beauty, the Absolute Beauty; and the truths of philosophy must be implanted in him to lead him to faith in that which, unknowing it, he possesses within himself. What these truths are we will show later.

(530) other proportion. No, he replied, such an idea would be ridiculous. And will not a true astronomer have the same feeling when he looks at the movements of the stars? Will he not think that heaven and the things in heaven are framed by the Creator of them in the most perfect manner? But he will never imagine that the proportions of night and day, or of both to the month, or of the month to the year, or of the stars to these and to one another, and any other things that are material and visible can also be eternal and subject to no deviation—that would be absurd; and it is equally absurd to take so much pains in investigating their exact truth. I quite agree, though I never thought of this before. Then, I said, in astronomy, as in geometry, we should employ problems, and let the heavens alone if we would approach the subject in the right way and so make the natural gift of reason to be of any real use. That, he said, is a work infinitely beyond our present astronomers. Yes, I said; and there are many other things which must also have a similar extension given to them, if our legislation is to be of any value. But can you tell me of any other suitable study? No, he said, not without thinking. Motion, I said, has many forms, and not one only; two of

(525) how steadily the masters of the art repel and ridicule any one who attempts to divide absolute unity when he is calculating, and if you divide, they multiply 4 , taking care that one shall continue one and not become lost in fractions. That is very true. Now, suppose a person were to say to them: O my friends, what are these wonderful numbers about which you are reasoning, in which, as you say, there is a unity such as you demand, and each unit is equal, invariable, indivisible,—what would they answer? They would answer, as I should conceive, that they were speaking of those numbers which can only be realized in thought. Then you see that this knowledge may be truly called necessary, necessitating as it clearly does the use of the pure intelligence in the attainment of pure truth? Yes; that is a marked characteristic of it. And have you further observed, that those who have a natural talent for calculation are generally quick at every other kind of knowledge; and even the dull, if they have had an arithmetical training, although they may derive no other advantage from it, always become much quicker than they would otherwise have been. Very true, he said.