Passages similar to: Secret Teachings of All Ages — Pythagorean Mathematics
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Western Esoteric
Secret Teachings of All Ages
Pythagorean Mathematics (105)
The following symbolic names were given to the duad--2--because it has been divided, and is two rather than one; and when there are two, each is opposed to the other: genius, evil, darkness, inequality, instability, movability, boldness, fortitude, contention, matter, dissimilarity, partition between multitude and monad, defect, shapelessness, indefiniteness, indeterminate ness, harmony, tolerance, root, feet of fountain-abounding idea, top, Phanes, opinion, fallacy, alterity, diffidence, impulse, death, motion, generation, mutation, division, longitude, augmentation, composition, communion, misfortune, sustentation, imposition, marriage, soul, and science.
There were formed seven double letters, Beth, Gimel, Daleth, Kaph, Pe, Resh, Tau, each has two voices, either aspirated or softened. These are the...
(1) There were formed seven double letters, Beth, Gimel, Daleth, Kaph, Pe, Resh, Tau, each has two voices, either aspirated or softened. These are the foundations of Life, Peace, Riches, Beauty or Reputation, Wisdom, Fruitfulness, and Power. These are double, because their opposites take part in life, opposed to Life is Death; to Peace, War; to Riches, Poverty; to Beauty or Reputation, Deformity or Disrepute; to Wisdom, Ignorance; to Fruitfulness, Sterility; to Power, Slavery.
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.
Their fifteen parts enter into their elements, their Devas (the senses) into their (corresponding) Devas. Their deeds and their Self with all his...
(7) Their fifteen parts enter into their elements, their Devas (the senses) into their (corresponding) Devas. Their deeds and their Self with all his knowledge become all one in the highest Imperishable.
Whereas the aim and will of the Merciful God Inclined to the revelation and manifestation of Himself, And one opposite cannot be shown but by its oppo...
(21) For that world (of unity) is as a saltpan; On the text, "Verily I am about to place a Khalifa or Vicegerent on earth" 3. Whereas the aim and will of the Merciful God Inclined to the revelation and manifestation of Himself, And one opposite cannot be shown but by its opposite, And that Unique King of kings has no opposite or peer, Therefore that Lord of the heart set up a Khalifa, Therefore He gave him unlimited purity and light, God set up two standards, a white and a black one, The one Adam and the other Iblis;
Now Immortal Man revealed aeons and powers and kingdoms and gave authority to everyone who appeared from him, to make whatever they desire until the...
(27) Now Immortal Man revealed aeons and powers and kingdoms and gave authority to everyone who appeared from him, to make whatever they desire until the days that are above chaos. For these consented with each other and revealed every magnificence, even from spirit, multitudinous lights that are glorious and without number. These received names in the beginning, that is, the first, the middle, the perfect; that is, the first aeon and the second and the third. The first was called 'Unity and Rest'. Since each one has its (own) name, the aeon was designated 'Assembly', from the great multitude that appeared in the multitudinous one. Therefore, when the multitude gathers and comes to a unity, they are called 'Assembly', from the Assembly that surpassed heaven. Therefore, the Assembly of the Eighth was revealed as androgynous and was named partly as male and partly as female. The male was called 'Assembly', the female, 'Life', that it might be shown that from a female came the life in all the aeons. Every name was received, starting from the beginning.
Chapter 15: Of the a Knowledge of the Eternity in the Corruptibility of the Essence of all Essences. (7)
A Fountain with a great many Veins, or as a Stock with many Branches.
(7) And there the Fiat (which created the fierce [wrathful or grim] Devils, in Hope that they would of Devils become Angels, who set their Imagination therein, that thereby they might domineer over God and the Kingdom of Heaven) was infected in the Figuring of the Similitudes; and so instantly kindled the Element in the Similitude, viz. in the Out-Birth [or Procreation,] in the Speculating [or Beholding,] so that the Essence has generated to the highest Essences, from whence go forth the four Elements of this World, of the third Principle; and the sharp Fiat of God, which stood in the Out-Birth [or Procreation,] has created the Out-Birth, out of which the Earth and Stones are proceeded. A Fountain with a great many Veins, or as a Stock with many Branches.
As a manifold, then, this God, the Intellectual-Principle, exists within the Soul here, the Soul which once for all stands linked a member of the...
(5) As a manifold, then, this God, the Intellectual-Principle, exists within the Soul here, the Soul which once for all stands linked a member of the divine, unless by a deliberate apostasy.
Bringing itself close to the divine Intellect, becoming, as it were, one with this, it seeks still further: What Being, now, has engendered this God, what is the Simplex preceding this multiple; what the cause at once of its existence and of its existing as a manifold; what the source of this Number, this Quantity?
Number, Quantity, is not primal: obviously before even duality, there must stand the unity.
The Dyad is a secondary; deriving from unity, it finds in unity the determinant needed by its native indetermination: once there is any determination, there is Number, in the sense, of course, of the real Number. And the soul is such a number or quantity. For the Primals are not masses or magnitudes; all of that gross order is later, real only to the sense-thought; even in seed the effective reality is not the moist substance but the unseen- that is to say Number and the Reason-Principle .
Thus by what we call the Number and the Dyad of that higher realm, we mean Reason Principles and the Intellectual-Principle: but while the Dyad is, as regards that sphere, undetermined- representing, as it were, the underly of The One- the later Number - that which rises from the Dyad and The One- is not Matter to the later existents but is their forming-Idea, for all of them take shape, so to speak, from the ideas rising within this. The determination of the Dyad is brought about partly from its object- The One- and partly from itself, as is the case with all vision in the act of sight: intellection is vision occupied upon The One.
To each one he gave a name, since the two orders are in a name. Those belonging to the thought and those of the representation are called "the Right...
(6) To each one he gave a name, since the two orders are in a name. Those belonging to the thought and those of the representation are called "the Right Ones" and "Psychic" and "the Fiery Ones" and "the Middle Ones." Those who belong to the arrogant thought and those of the likeness are called "the Left", "Hylic", "the Dark Ones," and "the Last."
The simple letters are twelve, namely: He, Vau, Zain, Heth, Teth, Yod, Lamed, Nun, Samech, Oin, Tzaddi, and Quoph; they represent the fundamental...
(1) The simple letters are twelve, namely: He, Vau, Zain, Heth, Teth, Yod, Lamed, Nun, Samech, Oin, Tzaddi, and Quoph; they represent the fundamental properties, eight, hearing, smell, speech, desire for food, the sexual appetite, movement, anger, mirth, thought, sleep, and work. These symbolize also twelve directions in space: northeast, southeast, the east above, the east below, the northwest, southwest, the west above, the west below, the upper south, the lower south, the upper north, the lower north. These diverge to all eternity, and an as the arms of the universe.
Just as the present aeon, though a unity, is divided by units of time and units of time are divided into years and years are divided into seasons and...
(12) Just as the present aeon, though a unity, is divided by units of time and units of time are divided into years and years are divided into seasons and seasons into months, and months into days, and days into hours, and hours into moments, so too the aeon of the Truth, since it is a unity and multiplicity, receives honor in the small and the great names according to the power of each to grasp it - by way of analogy - like a spring which is what it is, yet flows into streams and lakes and canals and branches, or like a root spread out beneath trees and branches with its fruit, or like a human body, which is partitioned in an indivisible way into members of members, primary members and secondary, great and small.
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.
To the argument touching relation we have an answer surely legitimate: The Unity is not of a nature to lose its own manner of being only because...
(14) To the argument touching relation we have an answer surely legitimate:
The Unity is not of a nature to lose its own manner of being only because something else stands in a state which it does not itself share; to stray from its unity it must itself suffer division into duality or the still wider plurality.
If by division the one identical mass can become a duality without loss of quantity, clearly the unity it possessed and by this destructive division lost was something distinct. What may be alternatively present and absent to the same subject must be classed among Real-Beings, regardless of position; an accidental elsewhere, it must have reality in itself whether it be manifested in things of sense or in the Intellectual- an accidental in the Laters but self-existent in the higher, especially in the First in its aspect of Unity developing into Being. We may be told that Unity may lose that character without change in itself, becoming duality by association with something else; but this is not true; unity does not become two things; neither the added nor what takes the addition becomes two; each remains the one thing it was; the duality is predicable of the group only, the unity remaining unchanged in each of those unchanged constituents.
Two and the Dyad are not essentially relative: if the only condition to the construction of duality were meeting and association such a relation might perhaps constitute Twoness and Duality; but in fact we see Duality produced by the very opposite process, by the splitting apart of a unity. This shows that duality- or any other such numerical form- is no relation produced either by scission or association. If one configuration produces a certain thing it is impossible that the opposite should produce the same so that the thing may be identified with the relation.
What then is the actual cause?
Unity is due to the presence of Unity; duality to that of Duality; it is precisely as things are white by Whiteness, just by Justice, beautiful by Beauty. Otherwise we must reject these universals and call in relation here also: justice would arise from a certain attitude in a given situation, Beauty from a certain pattern of the person with nothing present able to produce the beauty, nothing coming from without to effect that agreeable appearance.
You see something which you pronounce to be a unity; that thing possesses also size, form, and a host of other characteristics you might name; size, bulk, sweetness, bitterness and other Ideas are actually present in the thing; it surely cannot be thought that, while every conceivable quality has Real-Being, quantity has not and that while continuous quantity exists, discrete quantity does not and this though continuous quantity is measured by the discrete. No: as size by the presence of Magnitude, and Oneness by the presence of Unity, so with Duality and all the other numerical modes.
As to the How of participation, the enquiry is that of all participation in Ideal Forms; we must note, however, that the presence of the Decad in the looser totals is different from its presence in the continuous; there is difference again in its presence within many powers where multiplicity is concentred in unity; arrived at the Intellectuals, there too we discover Number, the Authentic Number, no longer entering the alien, Decad-Absolute not Decad of some particular Intellectual group.
Three mothers, seven double and twelve simple, these are the twenty-two letters with which I H V H Tetragrammaton, that is our Lord of Hosts,...
(3) Three mothers, seven double and twelve simple, these are the twenty-two letters with which I H V H Tetragrammaton, that is our Lord of Hosts, exalted, and existed in the ages, whose name is Holy, created three fathers, fire and spirit and water, progressing beyond them, seven heavens with their armies of angels; and twelve limits of the universe.
For the Gods are surrounded by either Gods or angels; but archangels have angels either preceding or coarranged with them, or following them behind, o...
(1) Moreover, in the manifestations there is an indication of the order which the powers that are seen possess. For the Gods are surrounded by either Gods or angels; but archangels have angels either preceding or coarranged with them, or following them behind, or are accompanied by a certain other multitude of angels, who attend on them as guards. Angels exhibit, together with themselves, the peculiar works of the order to which they belong. Good dæmons permit us to survey, in conjunction with themselves, their own works, and the benefits which they impart; but avenging dæmons exhibit the species of punishments [which they inflict]; and such other dæmons as are depraved are surrounded by certain noxious, blood-devouring, and fierce wild beasts. Archons [of the first rank] exhibit, together with themselves, certain portions of the world; but other archons attract to themselves the inordination and confusion of matter. With respect to soul, if it ranks as a whole, and does not belong to any particular species, it presents to the view a formless fire, extended through the whole world, which is indicative of the total, one, indivisible, and formless soul of the universe; but a purified soul exhibits a fiery form, and a pure and unmingled fire. Then, also, the most inward light of it is seen, and an undefiled and stable form, and it most willingly and joyfully follows its elevating leader, and unfolds, by its works, its own appropriate order.
On the Integral Omnipresence of the Authentic Existent (2) (5)
Often for the purpose of exposition- as a help towards stating the nature of the produced multiplicity- we use the example of many lines radiating...
(5) Often for the purpose of exposition- as a help towards stating the nature of the produced multiplicity- we use the example of many lines radiating from one centre; but, while we provide for individualization, we must carefully preserve mutual presence. Even in the case of our circle we need not think of separated radii; all may be taken as forming one surface: where there is no distinction even upon the one surface but all is power and reality undifferentiated, all the beings may be thought of as centres uniting at one central centre: we ignore the radial lines and think of their terminals at that centre, where they are at one. Restore the radii; once more we have lines, each touching a generating centre of its own, but that centre remains coincident with the one first centre; the centres all unite in that first centre and yet remain what they were, so that they are as many as are the lines to which they serve as terminals; the centres themselves appear as numerous as the lines starting from gem and yet all those centres constitute a unity.
Thus we may liken the Intellectual Beings in their diversity to many centres coinciding with the one centre and themselves at one in it but appearing multiple on account of the radial lines- lines which do not generate the centres but merely lead to them. The radii, thus, afford a serviceable illustration for the mode of contact by which the Intellectual Unity manifests itself as multiple and multipresent.
This birth or geniture is now in three distinct parts, every part being several and total and yet not one of them is divided asunder from the others....
(66) This birth or geniture is now in three distinct parts, every part being several and total and yet not one of them is divided asunder from the others. The Gate of the Holy Trinity.
And we must suppose that the difference of the manifold shapes of Almighty God, during the multiform visions, signifies that certain things are differ...
(5) But the different, since Almighty God is present to all providentially, and becomes all in all, for the sake of the preservation of all, resting upon Himself, and His own identity within Himself, standing, as beseems an energy, one and ceaseless, and imparting Himself with an unbending power, for deification of those turned to Him. And we must suppose that the difference of the manifold shapes of Almighty God, during the multiform visions, signifies that certain things are different from the phenomena under which they appear. For, as when language depicts the soul itself, under a bodily form, and fashions bodily members around the memberless, we think differently of the members attributed to it, as befits the soul's memberless condition; and we call the mind head, and opinion neck,--as intermediate between rational and irrational--and anger, breast; and lust, belly; and the constitution, legs and feet; using the names of the members as symbols of the powers. Much more then, as respects Him, Who is beyond all, is it necessary to make clear the difference of forms and shapes by reverent and God-becoming, and mystic explanations. And if you wish to apply the threefold shapes of bodies to the impalpable and shapeless God, you must say, that the Progression of Almighty God, which spreads out to all things, is a Divine extension; and length, the power extending itself over the whole; and depth, the hiddenness and imperception incomprehensible to all creatures. But, that we may not forget ourselves, in our explanation, of the different shapes and forms, by confounding the incorporeal Divine Names with those given through symbols of objects of sense, we have for this reason spoken concerning these things in the Symbolic Theology. But now, let us suppose the Divine difference, as really not a sort of change from the super-immovable identity, but as the single multiplication of itself, and the uniform progressions of its fecundity to all.
You must not, therefore, think that this division is the peculiarity of powers or energies, or of essence; nor assuming it separately, must you...
(4) You must not, therefore, think that this division is the peculiarity of powers or energies, or of essence; nor assuming it separately, must you survey it in one of these. But by extending it in common through all the genera, you will give perfection to the answer concerning the peculiarities of Gods, dæmons, and heroes, and also of those in souls which are now the subjects of your inquiry. Again, however, according to another mode of considering the subject, it is necessary to ascribe to the Gods the whole of that which is united, of whatever kind it may be; that which is firmly established in itself, and which is the cause of impartible essences; the immoveable, which also is to be considered as the cause of all motion, and which transcends the whole of things, and has nothing in common with them; and the unmingled and the separate, understood in common in essence, power and energy, and every thing else of this kind. But that which is now separated into multitude, and is able to impart itself to other things, and which receives from others bound in itself, and is sufficient in the distributions of partible natures, so as to give completion to them; which also participates of the primarily operative and vivific, having communion with all real and generated beings; receives a commixture from all things, imparts a contemperation to all things from itself, and extends these peculiarities through all the powers, essences, and energies, in itself; all this we shall truly ascribe to souls, by asserting that it is naturally implanted in them.
For, as I said elsewhere, the sacred instructors of our theological tradition call the "Divine Unions" the hidden and unrevealed sublimities of the su...
(4) But it is rather necessary, I suppose, to resume and to set forth the complete fashion of the Divine union and distinction, in order that the whole discourse may be seen at a glance to reject everything ambiguous and indistinct, and to define critically and distinctly the proper Names, as far as possible. For, as I said elsewhere, the sacred instructors of our theological tradition call the "Divine Unions" the hidden and unrevealed sublimities of the super-unutterable and super-unknown Isolation; but the "distinctions," the goodly progressions and manifestations of the Godhead; and, following the sacred Oracles, they mention also properties of the aforesaid "Union; "and again of the distinction, that there are certain specific unions and distinctions. For example, with regard to the Divine Union, that is, the Superessentiality, there is kindred and common to the One-springing Triad, the superessential sustaining Source, the super-Divine Deity, the super-good Goodness, the supreme identity of the whole supreme Idiosyncrasy, the Oneness above source of one; the Unspeakable; the Much-speaking, the Agnosia, the Comprehended by all, the Placing of all, the Abstraction of all, that which is above all affirmation and abstraction, the abiding and steadfastness in each other, if I may so speak, wholly super-united and in no part commingled of the One-springing Persons, just as lights of lamps (to use sensible illustrations familiar to our capacity), when in one house, are both wholly distinct in each other throughout, and keep the distinction from each other specifically and perfectly maintained, being one in distinction and distinct in union; and then, indeed, we may see in a house, in which are many lamps, the lights of all united to form one certain light and lighting up one combined radiance; and, as I suppose, no one would be able to distinguish in the air containing all the lights the light of one or other lamp from the rest, and to see one without the other, since whole in whole are mixed together without being mingled. But, if any one were to take out from the chamber one particular burner, the whole light belonging to it will depart with it; no particle of the other lights being drawn along with it, nor any of its own light left with the other. For there was, as I said, the complete union of all with all, unmingled throughout, and in no part confused, and this actually in a body, the air, the light even itself being dependent on the material fire. Whence we affirm that the superessential Union is fixed above not only the unions in bodies, but also above those in souls themselves, and in minds themselves, which, in a manner unmingled and supermundane, the Godlike and supercelestial Illuminations, whole through whole, possess, as beseems a participation analogous to those who participate in the Union elevated above all.