(18) 3. The ten numbers (Sephiroth) out of Nothing are analogous to the ten fingers and the ten toes: five over against five. In the center between them is the covenant with the Only One God. In the spiritual world it is the covenant of the voice (the Word), and in the corporeal world the circumcision of the flesh (the rite of Abraham).

(136) The decad--10--according to the Pythagoreans, is the greatest of numbers, not only because it is the tetractys (the 10 dots) but because it comprehends all arithmetic and harmonic proportions. Pythagoras said that 10 is the nature of number, because all nations reckon to it and when they arrive at it they return to the monad. The decad was called both heaven and the world, because the former includes the latter. Being a perfect number, the decad was applied by the Pythagoreans to those things relating to age, power, faith, necessity, and the power of memory. It was also called unwearied, because, like God, it was tireless. The Pythagoreans divided the heavenly bodies into ten orders. They also stated that the decad perfected all numbers and comprehended within itself the nature of odd and even, moved and unmoved, good and ill. They associated its power with the following deities: Atlas (for it carried the numbers on its shoulders), Urania, Mnemosyne, the Sun, Phanes, and the One God.

(3) That ten is a sacred number, it is superfluous to say now. And if the tables that were written were the work of God, they will be found to exhibit physical creation. For by the "finger of God" is understood the power of God, by which the creation of heaven and earth is accomplished; of both of which the tables will be understood to be symbols. For the writing and handiwork of God put on the table is the creation of the world.

(14) The Ten Commandments are the ten shining gems placed by the Holy One in the sapphire sea of Being, and in the depths of matter the reflections of these jewels are seen as the laws governing the sublunary spheres. They are the sacred ten by which the Supreme Deity has stamped His will upon the face of Nature. This same decad was celebrated by the Pythagoreans under the form of the tetractys--that triangle of spermatic points which reveals to the initiated the whole working of the cosmic scheme; for ten is the number of perfection, the key to creation, and the proper symbol of God, man, and the universe.

(19) 4. Ten are the numbers (of the Sephiroth) out of Nothing, ten--not nine; ten--not eleven. Comprehend this great, wisdom, understand this knowledge and be wise. Inquire into the mystery and ponder it. Examine all things by means of the ten Sephiroth. Restore the Word to Its Creator and lead the Creator back to His throne again. He is the only Formator and beside Him there is no other. His attributes are ten and are without limit.

(104) 10. When the Patriarch Abraham had comprehended the great truths, meditated upon them, and understood them perfectly, the Lord of the Universe (the Tetragrammaton) appeared to him, called him His friend, kissed him upon the head, and made with him a covenant. First, the covenant was between the ten fingers of his hands, which is the covenant of the tongue (spiritual); second, the covenant was between the ten toes of his feet, which is the covenant of circumcision (material); and God said of him, "Before Abraham bound the spirit of the twenty-two letters (the Thora) upon his tongue and God disclosed to him their secrets. God permitted the letters to be immersed in water, He burned them in the fire and imprinted them upon the winds. He distributed them among the seven planets and gave them to the twelve zodiacal signs.

(129) Among many ancient nations the heptad is a sacred number. The Elohim of the Jews were supposedly seven in number. They were the Spirits of the Dawn, more commonly known as the Archangels controlling the planets. The seven Archangels, with the three spirits controlling the sun in its threefold aspect, constitute the 10, the sacred Pythagorean decad. The mysterious Pythagorean tetractys, or four rows of dots, increasing from 1 to 4, was symbolic of the stages of creation. The great Pythagorean truth that all things in Nature are regenerated through the decad, or 10, is subtly preserved in Freemasonry through these grips being effected by the uniting of 10 fingers, five on the hand of each person.

(22) Such, again, is the number of the most general motions, according to which all origination takes place - up, down, to the right, to the left, forward, backward. Rightly, then, they reckon the number seven motherless and childless, interpreting the Sabbath, and figuratively expressing the nature of the rest, in which "they neither marry nor are given in marriage any more." For neither by taking from one number and adding to another of those within ten is seven produced; nor when added to any number within the ten does it make up any of them.

(9) And there is a ten in man himself: the five senses, and the power of speech, and that of reproduction; and the eighth is the spiritual principle communicated at his creation; and the ninth the ruling faculty of the soul; and tenth, there is the distinctive characteristic of the Holy Spirit, which comes to him through faith.

(10) All higher numbers can be reduced to one of the original ten numerals, and the 10 itself to 1. Therefore, all groups of numbers resulting from the translation of names of deities into their numerical equivalents have a basis in one of the first ten numbers. By this system, in which the digits are added together, 666 becomes 6+6+6 or 18, and this, in turn, becomes 1+8 or 9. According to Revelation, 144,000 are to be saved. This number becomes 1+4+4+0+0+0, which equals 9, thus proving that both the Beast of Babylon and the number of the saved refer to man himself, whose symbol is the number 9. This system can be used successfully with both Greek and Hebrew letter values.

(112) The tetrad--4--was esteemed by the Pythagoreans as the primogenial number, the root of all things, the fountain of Nature and the most perfect number. All tetrads are intellectual; they have an emergent order and encircle the world as the Empyreum passes through it. Why the Pythagoreans expressed God as a tetrad is explained in a sacred discourse ascribed to Pythagoras, wherein God is called the Number of Numbers. This is because the decad, or 10, is composed of 1, 2, 3, and 4. The number 4 is symbolic of God because it is symbolic of the first four numbers. Moreover, the tetrad is the center of the week, being halfway between 1 and 7. The tetrad is also the first geometric solid.

(24) The fingers and toes also have special significance. The toes represent the Ten Commandments of the physical law and the fingers the Ten Commandments of the spiritual law. The four fingers of each hand represent the four elements and the three phalanges of each finger represent the divisions of the element, so that in each hand there are twelve parts to the fingers, which are analogous to the signs of the zodiac, whereas the two phalanges and base of each thumb signify the threefold Deity. The first phalange corresponds to the creative aspect, the second to the preservative aspect, and the base to the generative and destructive aspect. When the hands are brought together, the result is the twenty-four Elders and the six Days of Creation.

(16) But here we may be questioned about these numbers which we describe as the primal and authentic:

"Where do you place these numbers, in what genus among Beings? To everyone they seem to come under Quantity and you have certainly brought Quantity in, where you say that discrete Quantity equally with the continuous holds place among Beings; but you go on to say that there are the numbers belonging to the Firsts and then talk of other numbers quite distinct, those of reckoning; tell us how you arrange all this, for there is difficulty here. And then, the unity in sense-things- is that a quantity or is quantity here just so many units brought together, the unity being the starting-point of quantity but not quantity itself? And, if the starting-point, is it a kindred thing or of another genus? All this you owe it to us to make clear."

Be it so; we begin by pointing out a distinction:

You take one thing with another- for we must first deal with objects of sense- a dog and a man, or two men; or you take a group and affirm ten, a decad of men: in this case the number affirmed is not a Reality, even as Reality goes in the sphere of sense, but is purely Quantity: similarly when you resolve into units, breaking up the decad, those units are your principle of Quantity since the single individual is not a unity absolute.

But the case is different when you consider one man in himself and affirm a certain number, duality, for example, in that he is at once living and reasoning.

By this analysis and totalling, you get quantity; but there are two objects under consideration and each of these is one; each of the unities contributes to the complete being and the oneness is inherent in each; this is another kind of number; number essential; even the duality so formed is no posterior; it does not signify a quantity apart from the thing but the quantity in the essence which holds the thing together. The number here is no mere result of your detailing; the things exist of themselves and are not brought together by your reckoning, but what has it to do with essential reality that you count one man in with another? There is here no resultant unity such as that of a choir- the decad is real only to you who count the ten; in the ten of your reckoning there cannot be a decad without a unitary basis; it is you that make the ten by your counting, by fixing that tenness down to quantity; in choir and army there is something more than that, something not of your placing.

But how do you come to have a number to place?

The Number inherent apart from any enumeration has its own manner of being, but the other, that resulting upon the appearance of an external to be appraised by the Number within yourself, is either an Act of these inherent numbers or an Act in accordance with them; in counting we produce number and so bring quantity into being just as in walking we bring a certain movement into being.

But what of that "Number within us having its own manner of being"?

It is the Number of our essence. "Our essence" we read "partakes of Number and harmony and, also, is Number and harmony." "Neither body nor magnitude," someone says: soul, then, is Number since it is essence. The number belonging to body is an essence of the order of body; the number belonging to soul constitutes the essences of souls.

In the Intellectuals, all, if the Absolute Living-Form, there is a multiple- a triad, let us say- that Triad of the Living-Form is of the nature of essence: and the Triad prior to any living thing, Triad in the realm of Being, is a principle of essence.

When you enumerate two things- say, animal and beauty- each of these remains one thing; the number is your production; it lay within yourself; it is you that elaborate quantity, here the dyad. But when you declare virtue to be a Tetrad, you are affirming a Tetrad which does actually exist; the parts, so to speak, make one thing; you are taking as the object of your act a Unity- Tetrad to which you accommodate the Tetrad within yourself.

(33) "When Moses distinguished the tabernacle into three parts, and allowed two of them to the priests, as a place accessible and common, he denoted the land and the sea, these being of general access to all; but he set apart the third division for God, because heaven is inaccessible to men. And when he ordered twelve loaves to be set on a table, he denoted the year, as distinguished into so many months. By branching out the candlestick into seventy parts, he secretly intimated the Decani, or seventy divisions of the planets; and as to the seven lamps upon the candlesticks, they referred to the course of the planets, of which that is the number. The veils too, which were composed of four things, they declared the four elements; for the plain linen was proper to signify the earth, because the flax grows out of the earth; the purple signified the sea, because that color is dyed by the blood of a sea shell-fish; the blue is fit to signify the air; and the scarlet will naturally be an indication of fire.

(6) For out of the heart proceed thoughts." This, as I think, is the true and just measure according to God, by which things capable of measurement are measured, the decad which is comprehensive of man; which summarily the three above-mentioned measures pointed out. There are body and soul, the five senses, speech, the power of reproduction - the intellectual or the spiritual faculty, or whatever you choose to call it. And we must, in a word, ascending above all the others, stop at the mind; as also certainly in the universe overleaping the nine divisions, the first consisting of the four elements put in one place for equal interchange: and then the seven wandering stars and the one that wanders not, the ninth, to the perfect number, which is above the nine, and the tenth division, we must reach to the knowledge of God, to speak briefly, desiring the Maker after the creation. Wherefore the tithes both of the ephah and of the sacrifices were presented to God; and the paschal feast began with the tenth day, being the transition from all trouble, and from all objects of sense.

(4) On another principle, 120 is a triangular number, and consists of the equality of the number 64, [which consists of eight of the odd numbers beginning with unity], the addition of which (1, 3, 5, 7, 9, 11, 13, 15) in succession generate squares; and of the inequality of the number 56, consisting of seven of the even numbers beginning with 2 (2, 4, 6, 8, 10, 12, 14), which produce the numbers that are not squares Again, according to another way of indicating. the number 120 consists of four numbers - of one triangle, 15; of another, a square, 25; of a third, a pentagon, 35; and of a fourth, a hexagon, 45. The 5 is taken according to the same ratio in each mode. For in triangular numbers, from the unity 5 comes 15; and in squares, 25; and of those in succession, proportionally. Now 25, which is the number 5 from unity, is said to be the symbol of the Levitical tribe. And the number 35 depends also on the arithmetic, geometric, and harmonic scale of doubles - 6, 8, 9, 12; the addition of which makes 35. In these days, the Jews say that seven months' children are formed. And the number 45 depends on the scale of triples - 6, 9, 12, 18 - the addition of which makes 45; and similarly, in these days they say that nine months' children are formed.

(74) Number is the term applied to all numerals and their combinations. (A strict interpretation of the term number by certain of the Pythagoreans excludes 1 and 2.) Pythagoras defines number to be the extension and energy of the spermatic reasons contained in the monad. The followers of Hippasus declared number to be the first pattern used by the Demiurgus in the formation of the universe.

(21) Moses Maimonides, the great Jewish Philosopher of the twelfth century, in describing the Tables of the Law written by the finger of God, divides all productions into two general orders: products of Nature and products of art. God works through Nature and man through art, he asserts in his Guide for the Perplexed. Thus the Word of the Lord is the hand, or active principle, by which the will of the Creator is traced upon the face of His creation. The Tannaim, or initiates of the Jewish Mystery School, alone possessed a complete understanding of the significance of the Ten Commandments. These laws are esoterically related to the ten degrees of contemplation constituting the Path of Ecstasy, which winds upward through he four worlds and ends in the effulgence of AIN SOPH.

(5) What then is the veritable nature of Number?

Is it an accompaniment upon each substance, something seen in the things as in a man we see one man, in a being one being and in the total of presentations the total of number?

But how explain the dyad and triad? How comes the total to be unitary and any particular number to be brought under unity? The theory offers a multiplicity of units, and no number is reducible to unity but the simple "one." It might be suggested that a dyad is that thing- or rather what is observed upon that thing- which has two powers combined, a compound thing related to a unity: or numbers might be what the Pythagoreans seem to hold them in their symbolic system in which Justice, for example, is a Tetrad: but this is rather to add the number, a number of manifold unity like the decad, to the multiplicity of the thing which yet is one thing. Now it is not so that we treat the ten things; we bring them together and apply the figure ten to the several items. Or rather in that case we say ten, but when the several items form a unity we say decad. This would apply in the Intellectual as in the sensible.

But how then can number, observed upon things, rank among Real Beings?

One answer might be that whiteness is similarly observed upon things and yet is real, just as movement is observed upon things and there is still a real existence of movement. But movement is not on a par with number: it is because movement is an entity that unity can be observed upon it. Besides, the kind of real existence thus implied annuls the reality of number, making it no more than an attribute; but that cannot be since an attribute must exist before it can be attributed; it may be inseparable from the subject but still must in itself be something, some entity as whiteness is; to be a predicate it must be that which is to be predicated. Thus if unity is observed in every subject, and "one man" says more than "man's oneness being different from the manness and common to all things- then this oneness must be something prior to man and to all the rest: only so can the unity come to apply to each and to all: it must therefore be prior also to even movement, prior to Being, since without unity these could not be each one thing: of course what is here meant is not the unity postulated as transcending Being but the unity predicable of the Ideas which constitute each several thing. So too there is a decad prior to the subject in which we affirm it; this prior would be the decad absolute, for certainly the thing in which the decad is observed is not that absolute.

Is this unity, then, connate and coexistent to the Beings? Suppose it coexistent merely as an accidental, like health in man, it still must exist of itself; suppose it present as an element in a compound, there must first exist unity and the unity absolute that can thus enter into composition; moreover if it were compounded with an object brought into being by its agency it would make that object only spuriously a unity; its entry would produce a duality.

But what of the decad? Where lies the need of decad to a thing which, by totalling to that power, is decad already?

The need may be like that of Form to Matter; ten and decad may exist by its virtue; and, once more, the decad must previously exist of its own existence, decad unattached.

(1) As then in astronomy we have Abraham as an instance, so also in arithmetic we have the same Abraham. "For, hearing that Lot was taken captive, and having numbered his own servants, born in his house, 318 (tih)," he defeats a very great number of the enemy.