De animae procreatione in Timaeo
Plutarch
Plutarch. Plutarch's Morals, Vol. II. Goodwin, William W., editor; Philips, John, translator. Boston: Little, Brown, and Company; Cambridge: Press of John Wilson and Son, 1874.
Of which the easy reconciliation of his seeming incongruities and contradiction of himself may serve for the first proof. For indeed no men of judgment would have objected to the most Bacchanalian sophister, more especially to Plato, the guilt of so much inconvenience and impudent rashness in a discourse by him so elaborately studied, as to affirm the same nature in one place never to have been created, in another to have been the effects of generation;—in Phaedrus to assert the soul eternal, in Timaeus to subject it to procreation. The words in Phaedrus need no repetition, as being familiar to nearly every one, wherein he proves the soul to be incorruptible in regard it never had a beginning, and to have never had a beginning because it moves itself. But in Timaeus, God, saith he, did not make the soul a junior to the body, as now we labor to prove it to have been subsequent to the body. For he would never have suffered the more ancient, because linked and coupled with the younger, to have been governed by it; only we, guided I know not how by chance and inconsiderate rashness, frame odd kind of notions to ourselves. But God most certainly composed the soul excelling the body both in seniority of origin and in power, to be mistress and governess of her inferior servant. [*](Timaeus, p. 34 B.)
And then again he adds, how that the soul, being turned upon herself, began the divine beginning of an eternal and prudent life. Now, saith he, the body of heaven became visible; but the soul being invisible, nevertheless participating of ratiocination and harmony, by the best of intelligible and eternal beings she was made the best of things created. [*](Timaeus, p. 36 E.) Here then he determines God to be the best of sempiternal beings, the soul to be the most excellent of temporal existences. By which apparent distinction and antithesis he denies that the soul is eternal, and that it never had a beginning.And now what other or better reconciliation of these seeming contrarieties than his own explanation, to those that are willing to apprehend it? For he declares to have been without beginning the never procreated soul, that moved all things confusedly and in an irregular manner before the creation of the world. But as for that which God composed out of this and that other permanent and choicest substance, making it both prudent and orderly, and adding of his own, as if it were for form and beauty’s sake, intellect to sense, and order to motion, and which he constituted prince and chieftain of the whole,—that he acknowledges to have had a beginning and to have proceeded from generation. Thus he likewise pronounces the body of the world in one respect to be eternal and without beginning, in another sense to be the work of creation. To which purpose, where he says that the visible structure, never in repose at first but restless in a confused and tempestuous motion, was at length by the hand of God disposed and ranged into majestic order,—where he says that the four elements, fire and water, earth and air, before the stately pile was by them embellished and adorned, caused a prodigious fever and shivering ague in the whole mass of matter, that labored under the combats of their unequal
mixtures,—by his urging these things, he gives those bodies room in the vast abyss before the fabric of the universe.Again, when he says that the body was younger than the soul, and that the world was created, as being of a corporeal substance that may be seen and felt,—which sort of substances must necessarily have a beginning and be created,—it is evidently demonstrable from thence that he ascribes original creation to the nature of bodies. But he is far from being repugnant or contradictory to himself in these sublimest mysteries. For he does not contend, that the same body was created by God or after the same manner, and yet that it was before it had a being,—which would have been to act the part of a juggler; but he instructs us what we ought to understand by generations and creation. Therefore, says he, at first all these things were void of measure and proportion; but when God first began to beautify the whole, the fire and water, earth and air, having perhaps some prints and footsteps of their forms, lay in a huddle jumbled all together,—as probable it is that all things are, where God is absent,—which then he reduced to a comely perfection varied by number and order. Moreover, having told us before that it was a work not of one but of a twofold proportion to bind and fasten the bulky immensity of the whole, which was both solid and of a prodigious profundity, he then comes to declare how God, after he had placed the water and the earth in the midst between the fire and the air, incontinently closed up the heavens into a circular form. Out of these materials, saith he, being four in number, was the body of the world created, agreeing in proportion, and so amicably corresponding together, that being thus embodied and confined within their proper bounds, it is impossible that any dissolution should happen from their own contending force, unless he that riveted the whole frame should go about
again to rend it in pieces;—most apparently teaching us, that God was not the parent and architect of the corporeal substance only, or of the bulk and matter, but of the beauty and symmetry and similitude that adorned and graced the whole. The same we are to believe, he thought, concerning the soul; that there is one which neither was created by God nor is the soul of the world, but a certain self-moving and restless efficacy of a giddy and disorderly agitation and impetuosity, irrational and subject to opinion; while the other is that which God himself, having accoutred and adorned it with suitable numbers and proportions, has made queen regent of the created world, herself the product of creation also.Now that Plato had this belief concerning these things, and did not for contemplation’s sake lay down these suppositions concerning the creation of the world and the soul,—this, among many others, seems to be an evident signification that, as to the soul, he avers it to be both created and not created, but as to the world, he always maintains that it had a beginning and was created, never that it was uncreated and eternal. What necessity therefore of bringing any testimonies out of Timaeus? For the whole treatise, from the beginning to the end, discourses of nothing else but of the creation of the world. As for the rest, we find that Timaeus, in his Atlantic, addressing himself in prayer to the Deity, calls God that being which of old existed in his works, but now was apparent to reason. In his Politicus, his Parmenidean guest acknowledges that the world, which was the handiwork of God, is replenished with several good things, and that, if there be any thing in it which is vicious and offensive, it comes by mixture of its former incongruous and irrational habit. But Socrates, in the Politics, beginning to discourse of number, which some call by the name of wedlock, says: The created Divinity has a circular period, which is, as it were, enchased and
involved in a certain perfect number; meaning in that place by created Divinity no other than the world itself.The first pair of these numbers consists of one and two, the second of three and four, the third of five and six; neither of which pairs make a tetragonal number, either by themselves or joined with any other figures. The fourth consists of seven and eight, which, being added all together, produce a tetragonal number of thirty-six. But the quaternary of numbers set down by Plato have a more perfect generation, of even numbers multiplied by even distances, and of odd by uneven distances. This quaternary contains the unit, the common original of all even and odd numbers. Subsequent to which are two and three, the first plane numbers; then four and nine, the first squares; and next eight and twenty-seven, the first cubical numbers (not counting the unit). Whence it is apparent, that his intention was not that the numbers should be placed in a direct line one above another, but apart and oppositely one against the other, the even by themselves, and the odd by themselves, according to the scheme here given. In this manner similar numbers will be joined together, which will produce other remarkable numbers, as well by addition as by multiplication.
By addition thus: two and three make five, four and nine make thirteen, eight and twenty-seven make thirty-five. Of all which numbers the Pythagoreans called five the nourisher, that is to say, the breeding or fostering sound, believing a fifth to be the first of all the intervals of tones which could be sounded. But as for thirteen,
they called it the remainder, despairing, as Plato himself did, of being ever able to divide a tone into equal parts. Then five and thirty they named harmony, as consisting of the two cubes eight and twenty-seven, the first that rise from an odd and an even number, as also of the four numbers, six, eight, nine, and twelve, comprehending both harmonical and arithmetical proportion. Which nevertheless will be more conspicuous, being made out in a scheme to the eye.Admit a right-angled parallelogram, A B C D, the lesser side of which A B consists of five, the longer side A C contains seven squares. Let the lesser division be unequally divided into two and three squares, marked by E; and the larger division in two unequal divisions more of three and four squares, marked by F. Thus A E F G comprehends six, E B G I nine, F G C H eight, and G I H D twelve. By this means the whole parallelogram, containing thirty-five little square areas, comprehends all the proportions of the first concords of music in the number of these little squares. For six is exceeded by eight in a sesquiterce proportion (3:4), wherein the diatessaron is comprehended. And six is exceeded by nine in a sesquialter proportion (2:3), wherein also is included the fifth. Six is exceeded by twelve in duple proportion (1:2), containing the octave; and then lastly, there is the sesquioctave proportion of a tone in eight to nine. And therefore they call that number which comprehends all these proportions harmony. This number is 35, which being multiplied by 6, the product is 210, which is the number of days, they say, which brings those infants to perfection that are born at the seventh month’s end.
To proceed by way of multiplication,—twice 3
make 6, and 4 times 9 thirty-six, and 8 times 27 produce 216. Thus six appears to be a perfect number, as being equal in its parts; and it is called matrimony, by reason of the mixture of the first even and odd. Moreover it is composed of the original number, which is one, of the first even number, which is two, and the first odd number, which is three. Then for 36, it is the first number which is as well quadrangular as triangular, being quadrangular from 6, and triangular from 8.[*](See note on Platonic Questions, No. V. § 2. Thirty-six is called the triangular of eight, because a triangle thus made of thirty-six points will have eight points on each side. (G.)) The same number arises from the multiplication of the first two square numbers, 4 and 9; as also from the addition of the three cubical numbers, 1, 8, and 27, which being put together make up 36. Lastly, you have a parallelogram with unequal sides, by the multiplication of 12 by 3, or 9 by 4. Take then the numbers of the sides of all these figures, the 6 of the square, the 8 of the triangle, the 9 for the one parallelogram, and the 12 for the other; and there you will find the proportions of all the concords. For 12 to 9 will be a fourth, as nete to paramese. To eight it will prove a fifth, as nete to mese. To six it will be an octave, as nete to hypate. And the two hundred and sixteen is the cubical number proceeding from six which is its root, and so equal to its own perimeter.Now these numbers aforesaid being endued with all these properties, the last of them, which is 27, has this peculiar to itself, that it is equal to all those that precede together; besides, that it is the periodical number of the days wherein the moon finishes her monthly course; the Pythagoreans make it to be the tone of all the harmonical intervals. On the other side, they call thirteen the remainder, in regard it misses a unit to be half of twenty-seven.
Now that these numbers comprehend the proportions of harmonical concord, is easily made apparent. For the proportion of 2 to 1 is duple, which contains the diapason; as the proportion of 3 to 2 sesquialter, which embraces the fifth; and the proportion of 4 to 3 sesquiterce, which comprehends the diatessaron; the proportion of 9 to 3 triple, including the diapason and diapente; and that of 8 to 2 quadruple, comprehending the double diapason. Lastly, there is the sesquioctave in 8 to 9, which makes the interval of a single tone. If then the unit, which is common, be counted as well to the even as the odd numbers, the whole series will be equal to the sum of the decade. For the even numbers[*](That is, in the quaternary, § 11. See the diagram, p. 339. (G.)) (1 + 2 + 4 + 8) give 15, the triangular number of five. On the other side, take the odd numbers, 1, 3, 9, and 27, and the sum is 40; by which numbers the skilful measure all musical intervals, of which they call one a diesis, and the other a tone. Which number of 40 proceeds from the force of the quaternary number by multiplication. For every one of the first four numbers being by itself multiplied by four, the products will be 4, 8, 12, 16, which being added all together make 40, comprehending all the proportions of harmony. For 16 is a sesquiterce to 12, duple to 8, and quadruple to 4. Again, 12 holds a sesquialter proportion to 8, and triple to 4. In these proportions are contained the intervals of the diatessaron, diapente, diapason, and double diapason. Moreover, the number 40 is equal to the two first tetragons and the two first cubes being taken both together. For the first tetragons are 1 and 4, the first cubes are 8 and 27, which being added together make 40. Whence it appears that the Platonic quaternary is much more perfect and fuller of variety than the Pythagoric.