(59) Theon of Smyrna declares that the ten dots, or tetractys of Pythagoras, was a symbol of the greatest importance, for to the discerning mind it revealed the mystery of universal nature. The Pythagoreans bound themselves by the following oath: "By Him who gave to our soul the tetractys, which hath the fountain and root of ever-springing nature."

(1) Being impelled, therefore, from another principle, viz. from the world and the mundane Gods, from the arrangement of the four elements in the world, and the association of the elements according to [appropriate] measures, and also from the orderly circulation of bodies about centres, we shall have an easy ascent to the truth of the piety respecting sacrifices. For if we are in the world, are contained as parts in the universe, are primarily produced by it, and perfected by the total powers that are in it, and if we consist of its elements, and receive from it a certain portion of life and nature; if this be the case, it is not proper to pass beyond the world and the mundane orders. We must admit, therefore, that in each part of the world there is this visible body, and that there are also incorporeal powers, which are divided about bodies. Hence the law of religion distributes similars to similars, and thus extends from on high, through wholes, as far as to the last of things; assigning, indeed, incorporeals to incorporeals, but bodies to bodies, and this commensurately to the nature of each. If, however, some theurgist should participate of the supermundane Gods, which is the rarest of all things, he, indeed, in the worship of the Gods will transcend both bodies and matter; being united to the Gods by a supermundane power. But that which happens to one person with difficulty and late, and at the end of the sacerdotal office, ought not to be promulgated as common to all men; nor ought it to be made a thing common to those who are commencing theurgic operations, nor to those who have made a middle proficiency in it. For these, after a manner, pay a corporeal-formed attention to sanctity.

(3) "The Pythagoreans indeed go farther than this, and honour even numbers and geometrical diagrams with the names and titles of the gods. Thus they call the equilateral triangle head-born Minerva and Tritogenia, because it may be equally divided by three perpendiculars drawn from each of the angles. So the unit they term Apollo, as to the number two they have affixed the name of strife and audaciousness, and to that of three, justice. For, as doing an injury is an extreme on the one side, and suffering one is an extreme on the on the one side, and suffering in the middle between them. In like manner the number thirty-six, their Tetractys, or sacred Quaternion, being composed of the first four odd numbers added to the first four even ones, as is commonly reported, is looked upon by them as the most solemn oath they can take, and called Kosmos." (Isis and Osiris.)

(3) Therefore it was enjoined upon the Hebrews To offer still, though sometimes what was offered Might be commuted, as thou ought'st to know. The other, which is known to thee as matter, May well indeed be such that one errs not If it for other matter be exchanged. But let none shift the burden on his shoulder At his arbitrament, without the turning Both of the white and of the yellow key; And every permutation deem as foolish, If in the substitute the thing relinquished, As the four is in six, be not contained. Therefore whatever thing has so great weight In value that it drags down every balance, Cannot be satisfied with other spending. Let mortals never take a vow in jest; Be faithful and not blind in doing that, As Jephthah was in his first offering, Whom more beseemed to say, 'I have done wrong, Than to do worse by keeping; and as foolish Thou the great leader of the Greeks wilt find, Whence wept Iphigenia her fair face, And made for her both wise and simple weep, Who heard such kind of worship spoken of.'

(7) "This is the oath: I adjure you who will read this holy book, by heaven and earth and fire and water and seven rulers of substance and the creative spirit in them and the god not conceived and the self-conceived one and the one who has been conceived, that you guard what Hermes has communicated. God will be at one with those who keep the oath and everyone we have named, but wrath will come upon each of those who violate the oath. This is the perfect one who is, child."

(9) Now Pythagoras made an epitome of the statements on righteousness in Moses, when he said, "Do not step over the balance;" that is, do not transgress equality in distribution, honouring justice so.

(383) Your thoughts, he said, are the reflection of my own. You agree with me then, I said, that this is the second type or form in which we should write and speak about divine things. The gods are not magicians who transform themselves, neither do they deceive mankind in any way. I grant that. Then, although we are admirers of Homer, we do not admire the lying dream which Zeus sends to Agamemnon; neither will we praise the verses of Aeschylus in which Thetis says that Apollo at her nuptials ‘Was celebrating in song her fair progeny whose days were to be long, and to know no sickness. And when he had spoken of my lot as in all things blessed of heaven he raised a note of triumph and cheered my soul. And I thought that the word of Phoebus, being divine and full of prophecy, would not fail. And now he himself who uttered the strain, he who was present at the banquet, and who said this—he it is who has slain my son 15 .’ These are the kind of sentiments about the gods which will arouse our anger; and he who utters them shall be refused a chorus; neither shall we allow teachers to make use of them in the instruction of the young, meaning, as we do, that our guardians, as far as men can be, should be true worshippers of the gods and like them. I entirely agree, he said, in these principles, and promise to make them my laws.

(1) I think, therefore, that all who are lovers of the contemplation of theurgic truth will acknowledge this, that the piety which pertains to divine natures ought not to be exercised towards them partially or imperfectly. Hence, since prior to the appearance of the Gods, all such powers as are presubjacent to them are moved, and when the Gods are about to descend to the earth, precede them as in a solemn procession; he who does not distribute to all these powers that which is adapted to them, and does not honour each in an appropriate manner, will depart imperfect, and destitute of the participation of the Gods. But he who propitiates all of them, and offers to each acceptable gifts, and such as are to the utmost of his power adapted to them, will always remain secure and irreprehensible, giving completion in a proper manner to the perfect and entire receptacle of the divine choir. Since this, therefore, is the case, whether is it necessary that the mode of sanctity should be simple, and consist of a certain few things, or that it should be multiform and all-harmonic, and mingled, as I may say, from every thing contained in the world? If, indeed, the power which is invoked, and is excited in the performance of sacred rites, was simple, the mode of sacrifice should necessarily be simple.

(54) The most famous of the Pythagorean fragments are the Golden Verses, ascribed to Pythagoras himself, but concerning whose authorship there is an element of doubt. The Golden Verses contain a brief summary of the entire system of philosophy forming the basis of the educational doctrines of Crotona, or, as it is more commonly known, the Italic School. These verses open by counseling the reader to love God, venerate the great heroes, and respect the dæmons and elemental inhabitants. They then urge man to think carefully and industriously concerning his daily life, and to prefer the treasures of the mind and soul to accumulations of earthly goods. The verses also promise man that if he will rise above his lower material nature and cultivate self-control, he will ultimately be acceptable in the sight of the gods, be reunited with them, and partake of their immortality. (It is rather significant to note that Plato paid a great price for some of the manuscripts of Pythagoras which had been saved from the destruction of Crotona. See Historia Deorum Fatidicorum, Geneva, 1675.)

(3) “ Nor do we frame conceptions of a divine nature, contrary to its real mode of subsistence. ” But conformably to the nature which it possesses, and to the truth concerning it, which those obtained who first established the laws of sacred religion, we persevere in our conceptions of divinity. For if any thing else in religious legal institutions is adapted to the Gods, this must certainly be immutability. And it is necessary that ancient prayers, like sacred asyla, should be preserved invariably the same, neither taking any thing from them, nor adding any thing to them which is elsewhere derived. For this is nearly the cause at present that both names and prayers have lost their efficacy, because they are continually changed through the innovation and illegality of the Greeks. For the Greeks are naturally studious of novelty, and are carried about every where by their volatility; neither possessing any stability themselves, nor preserving what they have received from others; but rapidly relinquishing this, they transform every thing through an unstable desire of discovering something new. But the Barbarians are stable in their manners, and firmly continue to employ the same words. Hence they are dear to the Gods, and proffer words which are grateful to them; but which it is not lawful for any man by any means to change. And thus much we have said in answer to you concerning names, which though they are inexplicable, and are called Barbaric, yet are adapted to sacred concerns.

(8) Wherefore the wisest of the Egyptian priests decided that the temple of Athene should be hypaethral, just as the Hebrews constructed the temple without an image. And some, in worshipping God, make a representation of heaven containing the stars; and so worship, although Scripture says, "Let of Eurysus the Pythagorean, which is as follows, who in his book On Fortune, having said that the "Creator, on making man, took Himself as an exemplar," added, "And the body is like the other things, as being made of the same material, and fashioned by the best workman, who wrought it, taking Himself as the archetype." And, in fine, Pythagoras and his followers, with Plato also, and most of the other philosophers, were best acquainted with the Lawgiver, as may be concluded from their doctrine. And by a happy utterance of divination, not without divine help, concurring in certain prophetic declarations, and, seizing the truth in portions and aspects, in terms not obscure, and not going beyond the explanation of the things, they honoured it on as pertaining the appearance of relation with the truth. Whence the Hellenic philosophy is like the torch of wick which men kindle, artificially stealing the light from the sun. But on the proclamation of the Word all that holy light shone forth. Then in houses by night the stolen light is useful; but by day the fire blazes, and all the night is illuminated by such a sun of intellectual light.

(7) And again, "Don't wear a ring, nor engrave on it the images of the gods," enjoins Pythagoras; as Moses ages before enacted expressly, that neither a graven, nor molten, nor moulded, nor painted likeness should be made; so that we may not cleave to things of sense, but pass to intellectual objects: for familiarity with the sight disparages the reverence of what is divine; and to worship that which is immaterial by matter, is to dishonour it by sense.