De Defectu Oraculorum

But here Ammonius interrupted him, and said: Notwithstanding that those things are so peremptorily and so pompously asserted by Theodorus, yet I shall wonder if he be not forced to make use of such suppositions as are destructive of themselves and one of another. For he will have it, that the five worlds he speaks of were not composed all at one time, but that that which was subtilest, and which gave least trouble in the making, came out first into being. And as if it were a consequent, and not a repugnant thing, he supposes that the matter does not always drive out into existence that which is most subtile and simple, but that sometimes the thickest, grossest, and heaviest parts do anticipate the more subtile in generation. But besides this, supposing that there be five primitive bodies or elements, and consequently that there be as many worlds, there are but four of those orders which he discourses rationally concerning. For as to the cube, he takes it away and removes it, as it were in a game of counters; for it is naturally unfit either to turn into any thing besides itself, or to yield that any of those other bodies be converted into it, inasmuch as the triangles of which they consist be not of the same sort. For all the rest consist in common of demi-triangles (or halves of equilateral triangles); but the proper subject of which the cube is particularly composed is the right isosceles triangle, which admits no inclination to a demi-triangle, nor can possibly be united and incorporated with it. If there be then five bodies, and consequently five worlds, and in each of these worlds the principle of generation be that body which is first produced, it must happen that, where the cube is the first in generation, none of the rest can possibly be produced, it being

contrary to its nature to change into any of them. Not to insist here, that Theodorus and those of his mind make the element or principle of which the dodecahedron is composed to be different from the rest, it not being that triangle which is termed scalene, with three unequal sides, out of which the pyramid, octahedron, and icosahedron, according to Plato, are produced; so that (said Ammonius laughing) you must solve these objections, or offer something new concerning the matter in debate.[*](See Plato’s discussion of triangles and the regular solids, Timaeus, pp. 53 C-56 C, with the commentaries See also Grote’s Plato, Vol. III. p. 269. (G.))

And I answered him, that, for my part, I knew not at present how to say any thing which carried more probability. But perhaps (said I) it is better for a man to give an account of his own opinion than of another’s. Therefore I say that, there being supposed from the beginning of things two several natures contrary to each other,— the one sensible, mutable, subject to generation, corruption, and change every way, the other spiritual and intelligible, and abiding always in the same state,—it would be very strange, my friends, to say that the spiritual nature admitteth of division and hath diversity and difference in it, and to be angry if a man will not allow the passible and corporeal nature to be wholly united in itself, without dividing it into many parts. For it is most suitable to the permanent and divine natures to be tied and linked to each other, and to avoid, as much as is possible, all division and separation; and yet, amongst incorporeal natures the power of diversity works greater differences in regard to essential forms and reason, than those of distance of place in the corporeal world. And therefore Plato, refuting those who hold this proposition, that all is one, asserts these five grounds and principles of all,—entity, identity, diversity, motion, and rest; which five immaterial principles being admitted, it is no marvel if Nature have made every one of

these to be an imitation, though not exact, yet as perfect and agreeable as could be drawn, of a correspondent principle in the corporeal mystery, partaking, as much as can be, of its power and virtue. For it is very plain that the cube is most proper and agreeable to repose and rest, by reason of the stability and firmness of those plain surfaces of which it consists. And as to the pyramid, everybody soon sees and acknowledges the nature of fire in it, by the slenderness of its decreasing sides, and the sharpness of its angles; and the nature of the dodecahedron, apt to comprehend all the other figures, may seem more properly to be the corporeal image of Ens, or Being in the general, indifferent to this or that particular form or shape. And of the other two which remain, the icosahedron resembleth the principle of diversity, and the octahedron principally partakes of the identical nature. And thus from one of these the air is produced, which partakes of and borders upon every substance, under one and the same outward form and appearance; and the other has afforded us the element of water, which by mixture may put on the greatest diversity of qualities. Therefore if Nature requires a certain uniformity and harmony in all things, it must be then that there are neither more nor fewer worlds in the corporeal nature than there are patterns or samples in the incorporeal, to the end that each pattern or sample in the invisible nature may have its own primary position and power, answering to a secondary or derivative in the different constitution or composition of bodies.

And this may serve for an answer to those that wonder at our dividing Nature, subject to generation and alteration, into so many kinds. But I entreat you all further, attentively to consider with yourselves that, of the two first and supreme principles of all things,—that is to say, the unity, and the indefinite binary or duality,—this latter, being the element and chief origin of all deformity and disorder,

is termed infinity, and on the contrary, the nature of unity, determining and limiting the void infinity, which has no proportion nor termination, reduces it into form, and renders it in some manner capable of receiving a denomination which belongs only to sensible and particular things. Now these two general principles appear first in number; for the multitude is indeed no number, unless a certain form of the matter resulting out of indeterminate infinity is cut off, and bounded within respective limits, either shorter or longer. For then each multitude is made number, when once it is determined and limited by unity; whereas, if we take away unity, then the indeterminate duality brings all into confusion, and renders it without harmony, without number or measure. Now, the form not being the destruction of matter, but rather the order and the beauty of it, both these principles therefore must be within number, from whence ariseth the chief disparity and greatest difference. For the infinite and indeterminate principle is the cause of the even number; and the other better principle, which is the unity, is the father (as it were) of the odd number. So that the first even number is two, and the first odd number is three; of which is composed five by conjunction, which is by its composition common to both, but of power or nature not even but odd. For, since sensible and corporeal nature is divided into several parts, on account of its inborn necessity of diversity, it was necessary that the number of these parts should not be either the first even number, nor yet the first uneven or odd, but a third, consisting of both; to the end that it might be procreated out of both principles, viz. of that which causeth the even number, and of that which produceth the odd; for the one cannot be parted from the other, inasmuch as both have the nature, power, and force of a principle. These two principles being then joined together, the better one being mightier prevails over the indeterminate infinity or duality, which divideth the corporeal nature; and thus the matter being divided, the unity interposing itself between has hindered the universe from being divided and parted into two equal portions. But there has been a multitude of worlds caused by the diversity and disagreement of the infinite Nature; but this multitude was brought into an odd number by the virtue and power of identity, or the finite principle; and it was therefore odd, because the better principle would not suffer Nature to stretch itself further than was fitting. For if there had been nothing but pure and simple unity, the matter would have known no separation; but being mixed with the dividing nature of duality, it has by this means suffered separation and division; yet it has stopped here, by the odd numbers being the superior and master to the even.

This is the reason why the ancients were used to express numbering or reckoning by πεμπάσασθαι, to count by fives. And I am of opinion that that word πάντα, all, is derived from πέντε, which is to say five, five being compounded of the first numbers. For all the other numbers being afterwards multiplied by others, they produce numbers different from themselves; whereas five, being multiplied by an even number, produceth a perfect ten, and multiplied by an odd number, representeth itself again; not to insist that it is composed of the two first tetragons or quadrate numbers (unity and four), and that, being the first number whose square is equivalent to the two squares before it, it composeth the fairest of right angled triangles, and is the first number which containeth the sesquilateral proportion. Perhaps all these reasons are not very pertinent to the discourse of the present dispute, it being better to allege that in this number there is a natural virtue of dividing, and that nature divideth many things by this number. For in ourselves she has placed five senses, and five parts of the soul, the vital, the sensitive, the concupiscible,

the irascible, and the rational; and as many fingers on each hand; and the most fruitful seed disperseth itself but into five, for we read nowhere of a woman that brought forth more than five at a birth. And the Egyptians also tell us that the Goddess Rhea was delivered of five Gods, giving us to understand in covert terms that of the same matter were procreated five worlds. And in the universe, the earth is divided into five zones, the heaven into five circles,—two arctics, two tropics, and one equinoctial in the midst. There are five revolutions of planets or wandering stars, inasmuch as the Sun, Venus, and Mercury make but one and the same revolution. And the construction of the world consists of an harmonical measure; even as our musical chords consist of the posture of five tetrachords, ranged orderly one after another, that is to say, those called ὑπάτων, μέσων, συνημμένων, διεζευγμένων, and ὑπερβολαίων.[*](See note prefixed to Plutarch’s Treatise on Music. (G.)) The intervals also which are used in singing are five, diesis, semitone, tone, the tone and a half, and the double tone; so that Nature seems to delight more in making all things according to the number five, than she does in producing them in a spherical form, as Aristotle writeth.