005: On The Creation (Part 2)
ON THE CREATION - Part 2* *
XVIII. (55) But the Creator having a regard to that idea of light perceptible only by the intellect, which has been spoken of in the mention made of the incorporeal world, created those stars which are perceptible by the external senses, those divine and superlatively beautiful images, which on many accounts he placed in the purest temple of corporeal substance, namely in heaven. One of the reasons for his so doing was that they might give light; another was that they might be signs; another had reference to their dividing the times of the seasons of the year, and above all dividing days and nights, of months and years, which are the measures of time; and which have given rise to the nature of number. (56) And how great is the use and how great the advantage derivable from each of the aforesaid things, is plain from their effect. But with a view to a more accurate comprehension of them, it may perhaps not be out of place to trace out the truth in a regular discussion. Now the whole of time being divided into two portions day and night, the sovereignty of the day the Father has assigned to the Sun, as a mighty monarch: and that of the night he has given to the moon and to the multitude of the other stars. (57) And the greatness of the power and sovereignty of the sun has its most conspicuous proof in what has been already said: for he, being one and single has been allotted for his own share and by himself one half portion of all time, namely day; and all the other lights in conjunction with the moon have the other portion, which is called night. And when the sun rises all the appearances of such numbers of stars are not only obscured but absolutely disappear from the effusion of his beams; and when he sets then they all assembled together, begin to display their own peculiar brilliancy and their separate qualities.
XIX. (58) And they have been created, as Moses tells us, not only that they might send light upon the earth, but also that they might display signs of future events. For either by their risings, or their settings, or their eclipses, or again by their appearances and occultations, or by the other variations observable in their motions, men oftentimes conjecture what is about to happen, the productiveness or unproductiveness of the crops, the birth or loss of their cattle, fine weather or cloudy weather, calm and violent storms of wind, floods in the rivers or droughts, a tranquil state of the sea and heavy waves, unusual changes in the seasons of the year when either the summer is cold like winter, or the winter warm, or when the spring assumes the temperature of autumn or the autumn that of spring. (59) And before now some men have conjecturally predicted disturbances and commotions of the earth from the revolutions of the heavenly bodies, and innumerable other events which have turned out most exactly true: so that it is a most veracious saying that "the stars were created to act as signs, and moreover to mark the seasons." And by the word seasons the divisions of the year are here intended. And why may not this be reasonably affirmed? For what other idea of opportunity can there be except that it is the time for success? And the seasons bring everything to perfection and set everything right; giving perfection to the sowing and planting of fruits, and to the birth and growth of animals. (60) They were also created to serve as measure of time; for it is by the appointed periodical revolutions of the sun and moon and other stars, that days and months and years are determined. And moreover it is owing to them that the most useful of all things, the nature of number exists, time having displayed it; for from one day comes the limit, and from two the number two, and from three, three, and from the notion of a month is derived the number thirty, and from a year that number which is equal to the days of the twelve months, and from infinite time comes the notion of infinite number. (61) To such great and indispensable advantages do the natures of the heavenly bodies and the motions of the stars tend. And to how many other things might I also affirm that they contribute which are as yet unknown to us? for all things are not known to the will of man; but of the things which contribute towards the durability of the universe, those which are established by laws and ordinances which God has appointed to be unalterable for ever, are accomplished in every instance and in every country.
XX. (62) Then when earth and heaven had been adorned with their befitting ornaments, one with a triad, and the other, as has been already said, with a quaternion, God proceeded to create the races of mortal creatures, making the beginning with the aquatic animals on the fifth day, thinking that there was no one thing so akin to another as the number five as to animals; for animate things differ from inanimate in nothing more than in sensation, and sensation is divided according to a fivefold division, into sight, hearing, taste, smell, and touch. Accordingly, the Creator allotted to each of the senses its appropriate matter, and also its peculiar faculty of judgment, by which it should decide on what came before it. So sight judges of colours, and hearing of sounds, and taste of juices, and smell of vapours, and touch of softness and hardness, and of heat and cold, and of smoothness and roughness: (63) therefore He commanded all the races of fish and sea-monsters to stand together in their places, animals differing both in their sizes and in their qualities; for they vary in different seas, though in some cases they are the same, and every animal was not formed to live every where. And was not this reasonable? For some of them delight in marshy places, and in water which is very deep; and some in sewers and harbours, being neither able to crawl up upon the land, nor to swim off far from the land. Some, again, dwell in the middle and in the deep sea, and avoid all the projecting promontories and islands and rocks: some also exult in fine weather and in calm, and some in storms and heavy surf. For being exercised by continual buffetings, and being in the habit of withstanding the current by force, they are very vigorous and become stout. After that he created the races of birds as akin to the races of aquatic animals (for they are each of them swimmers), leaving no species of creatures which traverse the air unfinished.
XXI. (64) So now when the air and the water had received their appropriate races of animals as an allotment that was their due, God again summoned the earth for the creation of that share which still remained: and after the production of plants, the terrestrial animals still remained. And God said, "Let the earth bring forth cattle and beasts, and creeping things of each kind." And the earth did as it was commanded, and immediately sent forth animals differing in their formation and in their strength, and in the injurious or beneficial powers that were implanted in them. (65) And after all He made man. But how he made him I will mention presently, after I have first explained that he adopted the most beautiful connection and train of consequences according to the system of the creation of animals which he had sketched out to himself; for of souls the most sluggish and the most weakly formed has been allotted to the race of fishes; and the most exquisitely endowed soul, that which is in all respects most excellent, has been given to the race of mankind, and one something between the two to the races of terrestrial animals and those which traverse the air; for the soul of such creatures is endowed with more acute sensations than the soul of fishes, but is more dull than that of mankind. (66) And it was on this account that of all living creatures God created fishes first, inasmuch as they partake of corporeal substance in a greater degree than they partake of soul, being in a manner animals and not animals, moving soulless things, having a sort of semblance of soul diffused through them for no object beyond that of keeping their bodies live (just as they say that salt preserves meat), in order that they may not easily be destroyed. And after the fishes, he created winged and terrestrial animals: for these are endowed with a higher degree of sensation, and from their formation show that the properties of their animating principle are of a higher order. But after all the rest, then, as has been said before, he created man, to whom he gave that admirable endowment of mind--the soul, if I may so call it, of the soul, as being like the pupil to the eye; for those who most accurately investigate the natures of things affirm, that it is the pupil which is the eye of the eye.
XXII. (67) So at last all things were created and existing together. But when they all were collected in one place, then some sort of order was necessarily laid down for them for the sake of the production of them from one another which was hereafter to take place. Now in things which exist in part, the principle of order is this, to begin with that which is most inferior in its nature, and to end with that which is the most excellent of all; and what that is we will explain. It has been arranged that seed should be the principle of the generation of animals. It is plainly seen that this is a thing of no importance, being like foam; but when it has descended into the womb and remained there, then immediately it receives motion and is changed into nature; and nature is more excellent than seed, as also motion is better than quiet in created things; and nature, like a workman, or, to speak more correctly, like a faultless art, endows the moist substance with life, and fashions it, distributing it among the limbs and parts of the body, allotting that portion which can produce breath, and nourishment, and sensation to the powers of the soul: for as to the reasoning powers, we may pass over them for the present, on account of those who say, that the mind enters into the body from without, being something divine and eternal. (68) Nature therefore began from an insignificant seed, and ended in the most honourable of things, namely, in the formation of animals and men. And the very same thing took place in the creation of every thing: for when the Creator determined to make animals the first created in his arrangement were in some degree inferior, such as the fishes, and the last were the best, namely, man. And the others the terrestrial and winged creatures were between these extremes, being better than the first created, and inferior to the last.
XXIII. (69) So then after all the other things, as has been said before, Moses says that man was made in the image and likeness of God. And he says well; for nothing that is born on the earth is more resembling God than man. And let no one think that he is able to judge of this likeness from the characters of the body: for neither is God a being with the form of a man, nor is the human body like the form of God; but the resemblance is spoken of with reference to the most important part of the soul, namely, the mind: for the mind which exists in each individual has been created after the likeness of that one mind which is in the universe as its primitive model, being in some sort the God of that body which carries it about and bears its image within it. In the same rank that the great Governor occupies in the universal world, that same as it seems does the mind of man occupy in man; for it is invisible, though it sees everything itself; and it has an essence which is undiscernible, though it can discern the essences of all other things, and making for itself by art and science all sorts of roads leading in divers directions, and all plain; it traverses land and sea, investigating everything which is contained in either element. (70) And again, being raised up on wings, and so surveying and contemplating the air, and all the commotions to which it is subject, it is borne upwards to the higher firmament, and to the revolutions of the heavenly bodies. And also being itself involved in the revolutions of the planets and fixed stars according to the perfect laws of music, and being led on by love, which is the guide of wisdom, it proceeds onwards till, having surmounted all essence intelligible by the external senses, it comes to aspire to such as is perceptible only by the intellect: (71) and perceiving in that, the original models and ideas of those things intelligible by the external senses which it saw here full of surpassing beauty, it becomes seized with a sort of sober intoxication like the zealots engaged in the Corybantian festivals, and yields to enthusiasm, becoming filled with another desire, and a more excellent longing, by which it is conducted onwards to the very summit of such things as are perceptible only to the intellect, till it appears to be reaching the great King himself. And while it is eagerly longing to behold him pure and unmingled, rays of divine light are poured forth upon it like a torrent, so as to bewilder the eyes of its intelligence by their splendour. But as it is not every image that resembles its archetypal model, since many are unlike, Moses has shown this by adding to the words "after his image," the expression, "in his likeness," to prove that it means an accurate impression, having a clear and evident resemblance in form.
XXIV. (72) And he would not err who should raise the question why Moses attributed the creation of man alone not to one creator, as he did that of other animals, but to several. For he introduces the Father of the universe using this language: "Let us make man after our image, and in our likeness." Had he then, shall I say, need of any one whatever to help him, He to whom all things are subject? Or, when he was making the heaven and the earth and the sea, was he in need of no one to co-operate with him; and yet was he unable himself by his own power to make man an animal so short-lived and so exposed to the assaults of fate without the assistance of others? It is plain that the real cause of his so acting is known to God alone, but one which to a reasonable conjecture appears probable and credible, I think I should not conceal; and it is this. (73) Of existing things, there are some which partake neither of virtue nor of vice; as for instance, plants and irrational animals; the one, because they are destitute of soul, and are regulated by a nature void of sense; and the other, because they are not endowed with mind of reason. But mind and reason may be looked upon as the abode of virtue and vice; as it is in them that they seem to dwell. Some things again partake of virtue alone, being without any participation in any kind of vice; as for instance, the stars, for they are said to be animals, and animals endowed with intelligence; or I might rather say, the mind of each of them is wholly and entirely virtuous, and unsusceptible of every kind of evil. Some things again are of a mixed nature, like man, who is capable of opposite qualities, of wisdom and folly, of temperance and dissoluteness, of courage and cowardice, of justice and injustice, in short of good and evil, of what is honourable and what is disgraceful, of virtue and vice. (74) Now it was a very appropriate task for God the Father of all to create by himself alone, those things which were wholly good, on account of their kindred with himself. And it was not inconsistent with his dignity to create those which were indifferent since they too are devoid of evil, which is hateful to him. To create the beings of a mixed nature, was partly consistent and partly inconsistent with his dignity; consistent by reason of the more excellent idea which is mingled in them; inconsistent because of the opposite and worse one. (75) It is on this account that Moses says, at the creation of man alone that God said, "Let us make man," which expression shows an assumption of other beings to himself as assistants, in order that God, the governor of all things, might have all the blameless intentions and actions of man, when he does right attributed to him; and that his other assistants might bear the imputation of his contrary actions. For it was fitting that the Father should in the eyes of his children be free from all imputation of evil; and vice and energy in accordance with vice are evil. (76) And very beautifully after he had called the whole race "man," did he distinguish between the sexes, saying, that "they were created male and female;" although all the individuals of the race had not yet assumed their distinctive form; since the extreme species are contained in the genus, and are beheld, as in a mirror, by those who are able to discern acutely.
XXV. (77) And some one may inquire the cause why it was that man was the last work in the creation of the world. For the Creator and Father created him after every thing else as the sacred scriptures inform us. Accordingly, they who have gone most deeply into the laws, and who to the best of their power have investigated everything that is contained in them with all diligence, say that God, when he had given to man to partake of kindred with himself, grudged him neither reason, which is the most excellent of all gifts, nor anything else that is good; but before his creation, provided for him every thing in the world, as for the animal most resembling himself, and dearest to him, being desirous that when he was born, he should be in want of nothing requisite for living, and for living well; the first of which objects is provided for by the abundance of supplies which are furnished to him for his enjoyment, and the other by his power of contemplation of the heavenly bodies, by which the mind is smitten so as to conceive a love and desire for knowledge on those subjects; owing to which desire, philosophy has sprung up, by which, man, though mortal, is made immortal. (78) As then, those who make a feast do not invite their guests to the entertainment before they have provided everything for festivity, and as those who celebrate gymnastic or dramatic contests, before they assemble the spectators, provide themselves with an abundance of competitors and spectacles, and sweet sounds, with which to fill the theatres and the stadia; so in the same manner did the Ruler of all, as a man proposing games, or giving a banquet and being about to invite others to feast and to behold the spectacle, first provide everything for every kind of entertainment, in order that when man came into the world he might at once find a feast ready for him, and a most holy theatre; the one abounding with everything which the earth, or the rivers, or the sea, or air, brings forth for use and enjoyment, and the other being full of every description of light, which has either its essence or its qualities admirable, and its motions and revolutions worthy of notice, being arranged in perfect order, both as to the proportions of its numbers, and the harmony of its periods. And a man would not be far wrong who should say that in all these things there might be discovered that archetypal and real model music, the images of which the subsequent generations of mankind engraved in their own souls, and in this way handed down the art which is the most necessary and the most advantageous to human life.
XXVI. (79) This is the first reason on account of which it seems that man was created after all other animals. And there is another not altogether unreasonable, which I must mention. At the moment of his first birth, man found all the requisites for life ready prepared for him that he might teach them to those who should come afterwards. Nature all but crying out with a distinct voice, that men, imitating the Author of their being, should pass their lives without labour and without trouble, living in the most ungrudging abundance and plenty. And this would be the case if there were neither irrational pleasures to obtain mastery over the soul raising up a wall of gluttony and lasciviousness, nor desires of glory, or power, or riches, to assume dominion over life, nor pains to contract and warp the intellect, nor that evil councillor--fear, to restrain the natural inclinations towards virtuous actions, nor folly and cowardice, and injustice, and the incalculable multitude of other evils to attack them. (80) But now that all the evils which I have now been mentioning are vigorous, and that men abandon themselves without restraint to their passions, and to those unbridled and guilty inclinations, which it is impious even to mention, justice encounters them as a suitable chastiser of wicked habits; and therefore, as a punishment for wrong doers, the necessaries of life have been made difficult of acquisition. For men ploughing up the plains with difficulty, and bringing streams from rivers, and fountains by channels, and sowing and planting, and submitting indefatigably day and night to the labour of cultivating the ground, provide themselves every year with what is necessary, even that at times being attended with pain; and not very sufficient in quantity, from being injured by many causes. For either a fall of incessant rain has carried away the crops, or the weight of hail which has fallen upon them has crushed them altogether, or snow has chilled them, or the violence of the winds has torn them up by the roots; for water and air cause many alterations, tending to destroy and productiveness of the crops. (81) But if the immoderate violence of the passions were appeased by temperance, and the inclination to do wrong and depraved ambition were corrected by justice, and in short if the vices and unhallowed actions done in accordance with them, were corrected by the virtues, and the energies in accordance with them, the war of the soul being terminated, which is in good truth the most grievous and heavy of all wars, and peace being established, and founding amid all our faculties, a due regard for law, with all tranquillity and mildness, then there would be hope that God, as being a friend to virtue, and a friend to honour, and above all a friend to man, would bestow upon the race of man, all kinds of spontaneous blessings from his ready store. For it is evident that it is easier to supply most abundantly the requisite supplies without having recourse to agricultural means, from treasures which already exist, than to bring forth what as yet has no existence.
XXVII. (82) I have now mentioned the second reason. There is also a third, which is as follows:--God, intending to adapt the beginning and the end of all created things together, as being all necessary and dear to one another, made heaven the beginning, and man the end: the one being the most perfect of incorruptible things, among those things which are perceptible by the external senses; and the other, the best of all earthborn and perishable productions--a short-lived heaven if one were to speak the truth, bearing within himself many starlike natures, by means of certain arts and sciences, and illustrious speculations, according to every kind of virtue. For since the corruptible and the incorruptible, are by nature opposite, he has allotted the best thing of each species to the beginning and to the end. Heaven, as I before said, to the beginning, and man to the end.
XXVIII. (83) And besides all this, another is also mentioned among the necessary causes. It was necessary that man should be the last of all created beings; in order that being so, and appearing suddenly, he might strike terror into the other animals. For it was fitting that they, as soon as they first saw him should admire and worship him, as their natural ruler and master; on which account, they all, as soon as they saw him, became tame before him; even those, who by nature were most savage, becoming at once most manageable at the first sight of him; displaying their unbridled ferocity to one another, and being tame to man alone. (84) For which reason the Father who made him to be a being dominant over them by nature not merely in fact, but also by express verbal appointment, established him as the king of all the animals, beneath the moon, whether terrestrial or aquatic, or such as traverse the air. For every mortal thing which lives in the three elements, land, water or air, did he put in subjection to him, excepting only the beings that are in heaven, as creatures who have a more divine portion. And what is apparent to our eyes it the most evident proof of this. For at times, innumerable herds of beasts are led about by one man, not armed, nor wearing iron, nor any defensive weapon, but clad only in a skin for a garment, and carrying a staff, for the purpose of making signs, and to lean upon also in his journeys if he become weary. (85) And so the shepherd, and the goatherd, and the cowherd, lead numerous flocks of sheep, and goats, and herds of oxen; men neither vigorous, nor active in their bodies, so as to strike those who behold them with admiration because of their fine appearance; and all the might and power of such numerous and well-armed beasts (for they have means of self-defence given them by nature), yet dread them as slaves do their master, and do all that is commanded them. Bulls are yoked to the plough to till the ground, and cutting deep furrows all day, sometimes even for a long space of time together, while some farmer is managing them. And rams being weighed down with heavy fleeces of wool, in the spring season, at the command of the shepherd, stand quietly, and lying down, without resistance, permit their wool to be shorn off, being accustomed naturally, like cities, to yield a yearly tribute to their sovereign. (86) And moreover, that most spirited of animals, the horse, is easily guided after he has been bridled; in order that he may not become frisky, and shake off the rein; and he hollows his back in an admirable manner to receive his rider and to afford him a good seat, and then bearing him aloft, he gallops at a rapid pace, being eager to arrive at and carry him to the place to which he is urging him. And the rider without any toil, but in the most perfect quiet, makes a rapid journey, by using the body and feet of another animal.
XXIX. (87) And any one who was inclined to dwell upon this subject might bring forward a great many other instances, to prove that there is no animal in the enjoyment of perfect liberty, and exempt from the dominion of man; but what has been already said is sufficient by way of example. We ought, however, not to be ignorant of this also, that it is no proof because man was the last created animal that he is the lowest in rank, and charioteers and pilots are witnesses of this; (88) for the charioteers sit behind their beasts of burden, and are placed at, their backs, and yet when they have the reins in their hands, they guide them wherever they choose, and at one time they urge them on to a swift pace, and at another time they hold them back, if they are going on at a speed greater than is desirable. And pilots again, sitting in the hindmost part of the ship, that is the stern are, as one may say, the most important of all the people in the ship, inasmuch as they have the safety of the ship and of all those who are in it, in their hands. And so the Creator has made man to be as it were a charioteer and pilot over all other animals, in order that he may hold the reins and direct the course of every thing upon earth, having the superintendence of all animals and plants, as a sort of viceroy of the principal and mighty King.
XXX. (89) But after the whole world had been completed according to the perfect nature of the number six, the Father hallowed the day following, the seventh, praising it, and calling it holy. For that day is the festival, not of one city or one country, but of all the earth; a day which alone it is right to call the day of festival for all people, and the birthday of the world. (90) And I know not if any one would be able to celebrate the nature of the number seven in adequate terms, since it is superior to every form of expression. But it does not follow that because it is more admirable than anything that can be said of it, that on that account one ought to keep silence; but rather we ought to try, even if one cannot say everything which is proper, or even that which is most proper, at all events to utter such things as may be attainable by our capacities. (91) The number seven is spoken of in two ways; the one within the number ten which is measured by repeating the unit alone seven times, and which consists of seven units; the other is the number outside ten, the beginning of which is altogether the unit increasing according to a twofold or threefold, or any other proportion whatever; as are the numbers sixty-four, and seven hundred and twenty-nine; the one number of which is increased by doubling on from the unit, and the other by trebling. And it is not well to examine either species superficially, but the second has a most manifest pre-eminence. (92) For in every case the number which is combined from the unit in double or treble ratio, or any other ratio, whatsoever, is the seventh number, a cube and a square, embracing both species, both that of the incorporeal and that of the corporeal essence. That of the incorporeal essence according to the superficies which quadrangular figures present, and that of the corporeal essence according to the other figure which cubes make; (93) and the clearest proof of this is afforded by the numbers already spoken of. In the seventh number increasing immediately from the unit in a twofold ratio, namely, the number sixty-four, is a square formed by the multiplication of eight by eight, and it is also a cube by the multiplication of four and four, four times. And again, the seventh number from the unit being increased in a threefold ratio, that is to say, the number seven hundred and twenty-nine, is a square, the number seven and twenty being multiplied by itself; and it is also a cube, by nine being multiplied by itself nine times. (94) And in every case a man making his beginning from the unit, and proceeding on to the seventh number, and increasing in the same ratio till he comes to the number seven, will at all times find the number, when increased, both a cube and a square. At all events, he who begins with the number sixty-four, and combines them in a doubling ratio, will make the seventh number four thousand and ninety-six, which is both a square and a cube, having sixty-four as its square root, and sixteen as its cube root.
XXXI. (95) And we must also pass on to the other species of the number seven, which is contained in the number ten, and which displays an admirable nature, and one not inferior to the previously mentioned species. The number seven consists of one, and two and four, numbers which have two most harmonious ratios, the twofold and the fourfold ratio; the former of which affects the diapason harmony, while the fourfold ratio causes that of the double diapason. It also comprehends other divisions, existing in some kind of yoke-like combination. For it is divided first of all into the number one, and the number six; then into the two and the five; and last of all, into the three and the four. (96) And the proportion of these numbers is a most musical one; for the number six bears to the number one a six-fold ratio, and the six-fold ratio causes the greatest possible difference between existing tones; the distance namely, by which the sharpest tone is separated from the flattest, as we shall show when we pass on from numbers to the discussion of harmony. Again, the ratio of four to two displays the greatest power in harmony, almost equal to that of the diapason, as is most evidently shown in the rules of that art. And the ratio of four to three effects the first harmony, that in the thirds, which is the diatessaron.
XXXII. (97) The number seven displays also another beauty which it possesses, and one which is most sacred to think of. For as it consists of three and four, it displays in existing things a line which is free from all deviation and upright by nature. And in what way it does so I must show. The rectangular triangle, which is the beginning of all qualities, consists of the Numbers (5)
XXXIII. (99) And such great sanctity is there in the number seven, that it has a pre-eminent rank beyond all the other numbers in the first decade. For of the other numbers, some produce without being produced, others are produced but have no productive power themselves; others again both produce and are produced. But the number seven alone is contemplated in no part. And this proposition we must confirm by demonstration. Now the number one produces all the other numbers in order, being itself produced absolutely by no other; and the number eight is produced by twice four, but itself produces no other number in the decade. Again, four has the rank of both, that is, of parents and of offspring; for it produces eight when doubled, and it is produced by twice two. (100) But seven alone, as I said before, neither produces nor is produced, on which account other philosophers liken this number to Victory, who had no mother, and to the virgin goddess, whom the fable asserts to have sprung from the head of Jupiter: and the Pythagoreans compare it to the Ruler of all things. For that which neither produces, nor is produced, remains immovable. For generation consists in motion, since that which is generated, cannot be so without motion, both to cause production, and to be produced. And the only thing which neither moves nor is moved, is the Elder, Ruler, and Lord of the universe, of whom the number seven may reasonably be called a likeness. And Philolaus gives his testimony to this doctrine of mine in the following Words: "for God," says he "is the ruler and Lord of all things, being one, eternal, lasting, immovable, himself like to himself, and different from all other beings."
XXXIV. (101) Among the things then which are perceptible only by intellect, the number seven is proved to be the only thing free from motion and accident; but among things perceptible by the external senses, it displays a great and comprehensive power, contributing to the improvement of all terrestrial things, and affecting even the periodical changes of the moon. And in what manner it does this, we must consider. The number seven when compounded of numbers beginning with the unit, makes eight-and-twenty, a perfect number, and one equalised in its parts. And the number so produced, is calculated to reproduce the revolutions of the moon, bringing her back to the point from which she first began to increase in a manner perceptible by the external senses, and to which she returns by waning. For she increases from her first crescent-shaped figure, to that of a half circle in seven days; and in seven more, she becomes a full orb; and then again she turns back, retracing the same path, like a runner of the diaulos, (6)
XXXV. (103) And besides what has been already said, the growth of men from infancy to old age, when measured by the number seven, displays in a most evident manner its perfecting power; for in the first period of seven years, the putting forth of the teeth takes place. And at the end of the second period of the same length, he arrives at the age of puberty: at the end of the third period, the growth of the beard takes place. The fourth period sees him arrive at the fullness of his manly strength. The fifth seven years is the season for marriage. In the sixth period he arrives at the maturity of his understanding. The seventh period is that of the most rapid improvement and growth of both his intellectual and reasoning powers. The eighth is the sum of the perfection of both. In the ninth, his passions assume a mildness and gentleness, from being to a great degree tamed. In the tenth, the desirable end of life comes upon him, while his limbs and organic senses are still unimpaired: for excessive old age is apt to weaken and enfeeble them all. (104) And Solon, the Athenian lawgiver, described these different ages in the following elegiac verses: In seven years from th’ earliest breath, The child puts forth his hedge of teeth; When strengthened by a similar span, He first displays some signs of man. As in a third, his limbs increase, A beard buds o’er his changing face. When he has passed a fourth such time, His strength and vigour’s in its prime. When five times seven years o’er his head Have passed, the man should think to wed; At forty two, the wisdom’s clear To shun vile deed of folly or fear:
While seven times seven years to sense Add ready wit and eloquence. And seven years further skill admit To raise them to their perfect height. When nine such periods have passed, His powers, though milder grown, still last; When God has granted ten times seven, The aged man prepares for heaven.
XXXVI. (105) Solon therefore thus computes the life of man by the aforesaid ten periods of seven years. But Hippocrates the physician says that there are Seven (7)
(106) And it is also affirmed for the particular praise of the number seven, that it has a very admirable rank in nature, because it is composed of three and four. And if any one doubles the third number after the unit, he will find a square; and if he doubles the fourth number, he will find a cube. And if he doubles the seventh from both, he will both a cube and a square; therefore, the third number from the unit is a square in a double ratio. And the fourth number, eight, is a cube. And the seventh number, being sixty-four, is both a cube and a square at the same time; so that the seventh number is really a perfecting one, signifying both equalities, the plane superficies by the square, according to the connection with the number three, and the solid by the cube according to its relationship to the number four; and of the numbers three and four, are composed the number seven.
XXXVII. (107) But this number is not only a perfecter of things, but it is also, so to say, the most harmonious of numbers; and in a manner the source of that most beautiful diagram which describes all the harmonies, that of fourths, and that of fifths, and the diapason. It also comprises all the proportions, the arithmetical, the geometrical, and moreover the harmonic proportion. And the square consists of these numbers, six, eight, nine, and twelve; and eight bears to six the ratio of being one third greater, which is the diatessaron of harmony. And nine bears to six the ratio of being half as great again, which is the ratio of fifths. And twelve is to six, in a twofold proportion; and this is the same as the diapason. (108) The number seven comprises also, as I have said, all the proportions of arithmetrical proportion, from the numbers six, and nine, and twelve; for as the number in the middle exceeds the first number by three, it is also exceeded by three by the last number. And geometrical proportion is according to these four numbers. For the same ratio that eight bears to six, that also does twelve bear to nine. And this is the ratio of thirds. Harmonic ratio consists of three numbers, six, and eight, and twelve. (109) But there are two ways of judging of harmonic proportion. One when, whatever ratio the last number bears to the first, the excess by which the last number exceeds the middle one is the same as the excess by which the middle number exceeds the first. And any one may derive a most evident proof of this from the numbers before mentioned, six, and eight, and twelve: for the last number is double the first. And again, the excess of twelve over eight is double the excess of eight over six. For the number twelve exceeds eight by four, and eight exceeds six by two; and four is the double of two. (110) And another test of harmonic proportion is, when the middle term exceeds and is exceeded by those on each side of it, by an equal portion; for eight being the middle term, exceeds the first term by a third part; for if six be subtracted from it, the remainder two is one third of the original number six: and it is exceeded by the last term in an equal proportion; for if eight be taken from twelve, the remainder four is one third of the whole number twelve.
XXXVIII. (111) Let this then be premised, as of necessity it must, respecting the honourable qualities which this diagram or square has, and the name to which it is entitled, and the number seven unfolds an equal number of ideas, and even more in the case of incorporeal things, which are perceptible only by the intellect; and its nature extends also over every visible essence, reaching to both heaven and earth, which are the boundaries of every thing. For what portion of all the things on earth is there which is not fond of seven; being subdued by an affection and longing for the seventh. (112) Accordingly men say, that the heaven is girdled with seven circles, the names of which are as follows; the arctic, the antarctic, the summer tropic, the winter tropic, the equinoctial, the zodiac, and last of all the galaxy. For the horizon is something which affects ourselves, in proportion as any one has acute vision, or the contrary; our sensation cutting off at one time a lesser, and at another time a greater circumference. (113) The planets too, and the corresponding host of fixed stars, are arrayed in seven divisions, displaying a very great sympathy with the air and the earth. For they turn the air towards the times, that are called the seasons of the year, causing in each of them innumerable changes by calm weather, and pleasant breezes, and clouds, and irresistible blasts of wind. And again, they make rivers to overflow and to subside, and turn plains into lakes; and again, on the contrary, they dry up the waters: they also cause the alterations of the seas, when they receded, and return with a reflux. For at times, when the tide recedes on a sudden, an extensive line of shore occupies what is usually a wide gulf of sea; and in a short time afterwards, the waters are brought back, and there appears a sea, sailed over, not by shallow boats, but by ships of exceeding great burden. And they also give increase and perfection to all the terrestrial animals and plants which produce fruit, endowing each with a nature to last a long time, so that new plants may flourish and come to maturity; the old ones having passed away, in order to provide an abundant supply of necessary things.