Passages similar to: Secret Teachings of All Ages — Pythagorean Mathematics
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Western Esoteric
Secret Teachings of All Ages
Pythagorean Mathematics (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.
The dodecad symbolizes war, the triad of amity, the triad of enmity, three which are life-giving, three which are death-dealing, and God, the faithful...
(3) And out of the triad one stands apart; and in the heptad there are two triads, and one standing apart. The dodecad symbolizes war, the triad of amity, the triad of enmity, three which are life-giving, three which are death-dealing, and God, the faithful king, rules over all from the throne of his sanctity. One above three, three above seven, and seven above twelve, and all are linked together, and one with another.
The ten numbers formed from nothing are the Decad: these are seen in the fingers of the hands, five on one, five on the other, and over them is the...
(3) The ten numbers formed from nothing are the Decad: these are seen in the fingers of the hands, five on one, five on the other, and over them is the Covenant by voice spiritual, and the rite of Circumcision, corporeal (as of Abraham).
Chapter XVI: Gnostic Exposition of the Decalogue. (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...
(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.
Chapter XI: The Mystical Meanings in the Proportions of Numbers, Geometrical Ratios, and Music. (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...
(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.
We take great pleasure in presenting to the attention of students and investigators of the Secret Doctrines this little work based upon the world-old...
(1) We take great pleasure in presenting to the attention of students and investigators of the Secret Doctrines this little work based upon the world-old Hermetic Teachings. There has been so little written upon this subject, not withstanding the countless references to the Teachings in the many works upon occultism, that the many earnest searchers after the Arcane Truths will doubtless welcome the appearance of this present volume.
He also promulgated purifications, and initiations as they are called, which contain the most accurate knowledge of the Gods. And farther still, it is...
(9) And, in short, it is said that Pythagoras was emulous of the Orphic mode of writing and [piety of] disposition; and that he honored the Gods in a way similar to that of Orpheus, placing them in images and in brass, not conjoined to our forms, but to divine receptacles; because they comprehend and provide for all things; and have a nature and morphe similar to the universe. He also promulgated purifications, and initiations as they are called, which contain the most accurate knowledge of the Gods. And farther still, it is said, that he was the author of a compound divine philosophy and worship of the Gods; having learnt indeed some things from the followers of Orpheus, but others from the Egyptian priests; some from the Chaldæans and Magi; some from the mysteries performed in Eleusis, in Imbrus, Samothracia, and Delos; and some also from those which are performed by the Celtæ, and in Iberia.
It is also said that the Sacred Discourse of Pythagoras is extant among the Latins, and is read not to all, nor by all of them, but by those who are promptly disposed to learn what is excellent, and apply themselves to nothing base. He likewise ordained that men should make libations thrice, and observed that Apollo delivered oracles from the tripod, because the triad is the first number. That sacrifices also should be made to Venus on the sixth day, because this number is the first that partakes of every number , and, when divided in every possible way, receives the power of the numbers subtracted and of those that remain. But that it is necessary to sacrifice to Hercules on the eighth day of the month from the beginning, looking in so doing to his being born in the seventh month.
He further asserted, that it was necessary that he who entered a temple should be clothed with a pure garment, and in which no one had slept; because sleep in the same manner as the black and the brown, is an indication of sluggishness; but purity is a sign of equality and justice in reasoning. He also ordered, that if blood should be found involuntarily spilt in a temple, a lustration should be made, either in a golden vessel, or with the water of the sea; the former of these [i. e. gold] being the most beautiful of things, and a measure by which the price of all things is regulated; but the latter as he conceived being the progeny of a moist nature, and the nutriment of the first and more common matter.
He likewise said, that it was not proper to bring forth children in a temple; because it is not holy that in a temple the divine part of the soul should be bound to the body. He further ordained, that on a festive day neither the hair should be cut, nor the nails paired; not thinking it fit that we should leave the service of the Gods for the purpose of increasing our good. He also said, that a louse ought not to be killed in a temple; conceiving that a divine power ought not to participate of any thing superfluous and corruptible. But that the Gods should be honored with cedar, laurel, cypress, oak, and myrtle; and that the body should not be purified with these, nor should any of them be divided by the teeth.
He likewise ordained, that what is boiled should not be roasted; signifying by this that mildness is not in want of anger. But he would not suffer the bodies of the dead to be burned; following in this the Magi, being unwilling that any thing divine should communicate with a mortal nature. He likewise thought it was holy for the dead to be carried out in white garments; obscurely signifying by this the simple and first nature, according to number and the principle of all things. But above all things he ordained, that an oath should be taken religiously; since that which is behind is long. And he said, that it is much more holy to be injured than to kill a man: for judgment is deposited in Hades, where the soul and its essence, and the first nature of things are [properly] estimated.
Farther still, he ordered that sepulchral chests [i. e. biers] should not be made of cypress, because the sceptre of Jupiter was made of this wood, or for some other mystic reason. He likewise ordained that libations should be performed before the table of Jupiter the Saviour, and of Hercules and the Dioscuri; in so doing celebrating Jupiter as the presiding cause and leader of this nutriment; Hercules, as the power of nature; and the Dioscuri, as the symphony of all things. But he said, that libations should not be offered with closed eyes. For he did not think it fit, that any thing beautiful should be undertaken with shame and bashfulness. Moreover, when it thundered, he ordained that the earth should be touched, in remembrance of the generation of things.
But he ordered that temples should be entered from places on the right hand, and that they should be departed out of from the left hand. For he asserted that the right hand is the principle of what is called the odd number, and is divine; but that the left hand is a symbol of the even number, and of that which is dissolved. And such is the mode which he is said to have adopted in the cultivation of piety. But other particulars which we have omitted concerning it, may be conjectured from what has been said. So that I shall cease to speak further on this subject.
These seven double letters He formed, designed, created, and combined into the Stars of the Universe, the days of the week, the orifices of...
(3) These seven double letters He formed, designed, created, and combined into the Stars of the Universe, the days of the week, the orifices of perception in man; and from them he made seven heavens, and seven planets, all from nothingness, and, moreover, he has preferred and blessed the sacred Heptad.
Chapter 3: Of the most blessed Triumphing, Holy, Holy, Holy Trinity, GOD the Father, Son, and Holy Ghost, ONE only God. (45)
And the seven planets signify the seven spirits of God, or the princes of the angels, among which also lord LUCIFER was one before his fall; all [thes...
(45) And the seven planets signify the seven spirits of God, or the princes of the angels, among which also lord LUCIFER was one before his fall; all [these] were made out of the Father in the beginning of the creation of angels, before the time of this world.
Now the Pythagorean symbols were connected with the Barbarian philosophy in the most recondite way. For instance, the Samian counsels "not to have a...
(1) Now the Pythagorean symbols were connected with the Barbarian philosophy in the most recondite way. For instance, the Samian counsels "not to have a swallow in the house;" that is, not to receive a loquacious, whispering, garrulous man, who cannot contain what has been communicated to him. "For the swallow, and the turtle, and the sparrows of the field, know the times of their entrance," says the Scripture; and one ought never to dwell with trifles. And the turtle-dove murmuring shows the thankless slander of fault-finding, and is rightly expelled the house.
The number nine is divine, receives its completion from three triads, and attains the summits of theology, according to the Chaldaic philosophy as...
(186) The number nine is divine, receives its completion from three triads, and attains the summits of theology, according to the Chaldaic philosophy as Porphyry informeth us.
Wherefore the wisest of the Egyptian priests decided that the temple of Athene should be hypaethral, just as the Hebrews constructed the temple...
(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.
Chapter XVI: Gnostic Exposition of the Decalogue. (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,...
(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.
Chapter XVI: Gnostic Exposition of the Decalogue. (28)
The first-born princes of the angels, who have the greatest power, are seven. The mathematicians also say that the planets, which perform their course...
(28) And now the whole world of creatures born alive, and things that grow, revolves in sevens. The first-born princes of the angels, who have the greatest power, are seven. The mathematicians also say that the planets, which perform their course around the earth, are seven; by which the Chaldeans think that all which concerns mortal life is effected through sympathy, in consequence of which they also undertake to tell things respecting the future.
Chapter 24: Of the Incorporating or Compaction of the Stars. (14)
They are the power of the seven spirits of God; for when in this world the wrath of God was kindled by the devil, then the whole house of this world...
(14) They are the power of the seven spirits of God; for when in this world the wrath of God was kindled by the devil, then the whole house of this world in nature, or the outermost birth or geniture, was as it were benumbed or chilled in death; from whence the earth and stones are come to be. But when this hard dross or scum was driven together into a lump or heap, then the deep was cleared. But the deep was very dark, for the light therein was dead in the wrath.
In ancient Egypt dwelt the great Adepts and Masters who have never been surpassed, and who seldom have been equaled, during the centuries that have...
(2) In ancient Egypt dwelt the great Adepts and Masters who have never been surpassed, and who seldom have been equaled, during the centuries that have taken their processional flight since the days of the Great Hermes. In Egypt was located the Great Lodge of Lodges of the Mystics. At the doors of her Temples entered the Neophytes who afterward, as Hierophants, Adepts, and Masters, traveled to the four corners of the earth, carrying with them the precious knowledge which they were ready, anxious, and willing to pass on to those who were ready to receive the same. All students of the Occult recognize the debt that they owe to these venerable Masters of that ancient land.
Ten are the numbers, as are the Sephiroth, and twenty-two the letters, these are the Foundation of all things. Of these letters, three are mothers,...
(2) Ten are the numbers, as are the Sephiroth, and twenty-two the letters, these are the Foundation of all things. Of these letters, three are mothers, seven are double, and twelve are simple.
Ten are the numbers of the ineffable Sephiroth, ten and not nine, ten and not eleven. Learn this wisdom, and be wise in the understanding of it,...
(4) Ten are the numbers of the ineffable Sephiroth, ten and not nine, ten and not eleven. Learn this wisdom, and be wise in the understanding of it, investigate these numbers, and draw knowledge from them, fix the design in its purity, and pass from it to its Creator seated on his throne.
There is no portion of the occult teachings possessed by the world which have been so closely guarded as the fragments of the Hermetic Teachings...
(3) There is no portion of the occult teachings possessed by the world which have been so closely guarded as the fragments of the Hermetic Teachings which have come down to us over the tens of centuries which have elapsed since the lifetime of its great founder, Hermes Trismegistus, the "scribe of the gods," who dwelt in old Egypt in the days when the present race of men was in its infancy. Contemporary with Abraham, and, if the legends be true, an instructor of that venerable sage, Hermes was, and is, the Great Central Sun of Occultism, whose rays have served to illumine the countless teachings which have been promulgated since his time. All the fundamental and basic teachings embedded in the esoteric teachings of every race may be traced back to Hermes. Even the most ancient teachings of India undoubtedly have their roots in the original Hermetic Teachings.
These three mothers enclose a mighty mystery, most occult and most marvelous, sealed as with six rings, and from them proceed primeval Fire, Water,...
(2) These three mothers enclose a mighty mystery, most occult and most marvelous, sealed as with six rings, and from them proceed primeval Fire, Water, and Air; these are subsequently differentiated into male and female. At first existed these three mothers, and there arose three masculine powers, and hence all things have originated.
Two brethren came into being: they were Heb-rā and Sotemanes, whose arm resteth not; and he assumed the form of a female with a lock, which became...
(8) Two brethren came into being: they were Heb-rā and Sotemanes, whose arm resteth not; and he assumed the form of a female with a lock, which became the Lock in Heliopolis