Passages similar to: Secret Teachings of All Ages — Pythagorean Mathematics
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Secret Teachings of All Ages
Pythagorean Mathematics (101)
Monad--1--is so called because it remains always in the same condition--that is, separate from multitude. Its attributes are as follows: It is called mind, because the mind is stable and has preeminence; hermaphrodism, because it is both male and female; odd and even, for being added to the even it makes odd, and to the odd, even; God, because it is the beginning and end of all, but itself has neither beginning nor end; good, for such is the nature of God; the receptacle of matter, because it produces the duad, which is essentially material.
All the attributes that exist are perfect and immortal. In respect to imperishableness, they are indeed equal. (But) in respect to power, they are dif...
(23) "First Man has his unique mind, within, and thought - just as he is it (thought) - (and) considering, reflecting, rationality, power. All the attributes that exist are perfect and immortal. In respect to imperishableness, they are indeed equal. (But) in respect to power, they are different, like the difference between father and son and thought, and the thought and the remainder. As I said earlier, among the things that were created, the monad is first.
As I said earlier, among the things that were created the monad is first, the dyad follows it, and the triad, up to the tenths. Now the tenths rule...
(15) As I said earlier, among the things that were created the monad is first, the dyad follows it, and the triad, up to the tenths. Now the tenths rule the hundredths; the hundredths rule the thousandths; the thousands rule the ten thousands. This is the pattern immortals. First Man is like this: His monad [...].
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.
Mind: First, that there is some one who does these things, is clear; and, next, that He is also One, is very manifest. For, also, Soul is one, and...
(11) Mind: First, that there is some one who does these things, is clear; and, next, that He is also One, is very manifest. For, also, Soul is one, and Life is one, and Matter one. Hermes: But who is He? Mind: Who may it other be than the One God? Whom else should it beseem to put Soul into lives but God alone? One, then, is God. It would indeed be most ridiculous, if when thou dost confess the Cosmos to be one, Sun one, Moon one, and Godhead one, thou shouldst wish God Himself to be some one or other of a number!
Chapter XIV: Greek Plagiarism From the Hebrews. (9)
Again the Barbarian philosophy knows the world of thought and the world of sense - the former archetypal, and the latter the image of that which is...
(9) Again the Barbarian philosophy knows the world of thought and the world of sense - the former archetypal, and the latter the image of that which is called the model; and assigns the former to the Monad, as being perceived by the mind, and the world of sense to the number six. For six is called by the Pythagoreans marriage, as being the genital number; and he places in the Monad the invisible heaven and the holy earth, and intellectual light. For "in the beginning," it is said, "God made the heaven and the earth; and the earth was invisible." And it is added, "And God said, Let there be light; and there was light." And in the material cosmogony He creates a solid heaven (and what is solid is capable of being perceived by sense), and a visible earth, and a light that is seen. Does not Plato hence appear to have left the ideas of living creatures in the intellectual world, and to make intellectual objects into sensible species according to their genera? Rightly then Moses says, that the body which Plato calls "the earthly tabernacle" was formed of the ground, but that the rational soul was breathed by God into man's face. For there, they say, the ruling faculty is situated; interpreting the access by the senses into the first man as the addition of the soul.
In what sense, then, do we assert this Unity, and how is it to be adjusted to our mental processes? Its oneness must not be entitled to that of monad...
(6) In what sense, then, do we assert this Unity, and how is it to be adjusted to our mental processes?
Its oneness must not be entitled to that of monad and point: for these the mind abstracts extension and numerical quantity and rests upon the very minutest possible, ending no doubt in the partless but still in something that began as a partible and is always lodged in something other than itself. The Unity was never in any other and never belonged to the partible: nor is its impartibility that of extreme minuteness; on the contrary it is great beyond anything, great not in extension but in power, sizeless by its very greatness as even its immediate sequents are impartible not in mass but in might. We must therefore take the Unity as infinite not in measureless extension or numerable quantity but in fathomless depths of power.
Think of The One as Mind or as God, you think too meanly; use all the resources of understanding to conceive this Unity and, again, it is more authentically one than God, even though you reach for God's unity beyond the unity the most perfect you can conceive. For This is utterly a self-existent, with no concomitant whatever. This self-sufficing is the essence of its unity. Something there must be supremely adequate, autonomous, all-transcending, most utterly without need.
Any manifold, anything beneath The Unity, is dependent; combined from various constituents, its essential nature goes in need of unity; but unity cannot need itself; it stands unity accomplished. Again, a manifold depends upon all its factors; and furthermore each of those factors in turn- as necessarily inbound with the rest and not self-standing- sets up a similar need both to its associates and to the total so constituted.
The sovranly self-sufficing principle will be Unity-Absolute, for only in this Unity is there a nature above all need, whether within itself or in regard to the rest of things. Unity seeks nothing towards its being or its well-being or its safehold upon existence; cause to all, how can it acquire its character outside of itself or know any good outside? The good of its being can be no borrowing: This is The Good. Nor has it station; it needs no standing ground as if inadequate to its own sustaining; what calls for such underpropping is the soulless, some material mass that must be based or fall. This is base to all, cause of universal existence and of ordered station. All that demands place is in need; a First cannot go in need of its sequents: all need is effort towards a first principle; the First, principle to all, must be utterly without need. If the Unity be seeking, it must inevitably be seeking to be something other than itself; it is seeking its own destroyer. Whatever may be said to be in need of a good is needing a preserver; nothing can be a good to The Unity, therefore.
Neither can it have will to anything; it is a Beyond-Good, not even to itself a good but to such beings only as may be of quality to have part with it. Nor has it Intellection; that would comport diversity: nor Movement; it is prior to Movement as to Intellection.
To what could its Intellection be directed? To itself? But that would imply a previous ignorance; it would be dependent upon that Intellection in order to knowledge of itself; but it is the self-sufficing. Yet this absence of self-knowing does not comport ignorance; ignorance is of something outside- a knower ignorant of a knowable- but in the Solitary there is neither knowing nor anything unknown. Unity, self-present, it has no need of self-intellection: indeed this "self-presence" were better left out, the more surely to preserve the unity; we must eliminate all knowing and all association, all intellection whether internal or external. It is not to be though of as having but as being Intellection; Intellection does not itself perform the intellective act but is the cause of the act in something else, and cause is not to be identified with caused: most assuredly the cause of all is not a thing within that all.
This Principle is not, therefore, to be identified with the good of which it is the source; it is good in the unique mode of being The Good above all that is good.
The self-existent Super-goodness then, as projecting the first gift of self-existent being, is celebrated by the elder and first of the...
(6) The self-existent Super-goodness then, as projecting the first gift of self-existent being, is celebrated by the elder and first of the participations; and being itself is from It, and in It; as also the sources of things being, and all the things that be, and the things howsoever sustained by being, and that irresistibly, and comprehensively and uniformly. For even in a monad, every number preexists in the form of a unit, and the monad holds every number in itself singly. And every number is united in the monad, but so far as it advances from the monad, so far it is distributed and multiplied. And in a centre, all the lines of the circle coexist within one union, and the point holds all the straight lines in itself, uniformly united, both to each other, and to the one source from which they proceeded, and in the centre itself they are completely united; but standing slightly distant from it, they are slightly separated; but when more apart, more so. And in one word, the nearer they are to the centre, the more they are united to it and to each other? and the more they stand apart from it, the more they stand apart from each other.
The Origin and Order of the Beings. Following on the First (1)
The One is all things and no one of them; the source of all things is not all things; all things are its possession- running back, so to speak, to...
(1) The One is all things and no one of them; the source of all things is not all things; all things are its possession- running back, so to speak, to it- or, more correctly, not yet so, they will be.
But a universe from an unbroken unity, in which there appears no diversity, not even duality?
It is precisely because that is nothing within the One that all things are from it: in order that Being may be brought about, the source must be no Being but Being's generator, in what is to be thought of as the primal act of generation. Seeking nothing, possessing nothing, lacking nothing, the One is perfect and, in our metaphor, has overflowed, and its exuberance has produced the new: this product has turned again to its begetter and been filled and has become its contemplator and so an Intellectual-Principle.
That station towards the one establishes Being; that vision directed upon the One establishes the Intellectual-Principle; standing towards the One to the end of vision, it is simultaneously Intellectual-Principle and Being; and, attaining resemblance in virtue of this vision, it repeats the act of the One in pouring forth a vast power.
This second outflow is a Form or Idea representing the Divine Intellect as the Divine Intellect represented its own prior, The One.
This active power sprung from essence is Soul.
Soul arises as the idea and act of the motionless Intellectual-Principle- which itself sprang from its own motionless prior- but the soul's operation is not similarly motionless; its image is generated from its movement. It takes fulness by looking to its source; but it generates its image by adopting another, a downward, movement.
This image of Soul is Sense and Nature, the vegetal principle.
Nothing, however, is completely severed from its prior. Thus the human Soul appears to reach away as far down as to the vegetal order: in some sense it does, since the life of growing things is within its province; but it is not present entire; when it has reached the vegetal order it is there in the sense that having moved thus far downwards it produces- by its outgoing and its tendency towards the less good- another hypostasis or form of being just as its prior (the loftier phase of the Soul) is produced from the Intellectual-Principle which yet remains in untroubled self-possession.
That the Intellectual Beings Are Not Outside the Intellectual-principle: and on the Nature of the Good (5)
We return to our statement that The First remains intact even when other entities spring from it. In the case of numbers, the unit remains intact...
(5) We return to our statement that The First remains intact even when other entities spring from it.
In the case of numbers, the unit remains intact while something else produces, and thus number arises in dependence on the unit: much more then does the unit, The One, remain intact in the principle which is before all beings; especially since the entities produced in its likeness, while it thus remains intact, owe their existence to no other, but to its own all-sufficient power.
And just as there is, primarily or secondarily, some form or idea from the monad in each of the successive numbers- the later still participating, though unequally, in the unit- so the series of Beings following upon The First bear, each, some form or idea derived from that source. In Number the participation establishes Quantity; in the realm of Being, the trace of The One establishes reality: existence is a trace of The One- our word for entity may probably be connected with that for unity.
What we know as Being, the first sequent upon The One, advanced a little outward, so to speak, then chose to go no further, turned inward again and comes to rest and is now the reality and hearth of the universe. Pressing on the word for Being we have the word "hen" , an indication that in our very form of speech we tell, as far as may be, that Being is that which proceeds from The One. Thus both the thing that comes to be and Being itself are carriers of a copy, since they are outflows from the power of The primal One: this power sees and in its emotion tries to represent what it sees and breaks into speech "On"; "einai"; "ousia," "hestia" , sounds which labour to express the essential nature of the universe produced by the travail of the utterer and so to represent, as far as sounds may, the origin of reality.
Now, no doubt, if these various activities are not themselves substantial existences- but merely manifestations of latent potentiality- there is no co...
(12) But why, after all, should it not be such a manifold as long as it remains one substantial existence, having the multiplicity not of a compound being but of a unity with a variety of activities?
Now, no doubt, if these various activities are not themselves substantial existences- but merely manifestations of latent potentiality- there is no compound; but, on the other hand, it remains incomplete until its substantial existence be expressed in act. If its substantial existence consists in its Act, and this Act constitutes multiplicity, then its substantial existence will be strictly proportioned to the extent of the multiplicity.
We allow this to be true for the Intellectual-Principle to which we have allotted self-knowing; but for the first principle of all, never. Before the manifold, there must be The One, that from which the manifold rises: in all numerical series, the unit is the first.
But- we will be answered- for number, well and good, since the suite makes a compound; but in the real beings why must there be a unit from which the multiplicity of entities shall proceed?
Because the multiplicity would consist of disjointed items, each starting at its own distinct place and moving accidentally to serve to a total.
But, they will tell us, the Activities in question do proceed from a unity, from the Intellectual-Principle, a simplex.
By that they admit the existence of a simplex prior to the Activities; and they make the Activities perdurable and class them as substantial existences ; but as Hypostases they will be distinct from their source, which will remain simplex; while its product will in its own nature be manifold and dependent upon it.
Now if these activities arise from some unexplained first activity in that principle, then it too contains the manifold: if, on the contrary, they are the very earliest activities and the source and cause of any multiple product and the means by which that Principle is able, before any activity occurs, to remain self-centred, then they are allocated to the product of which they are the cause; for this principle is one thing, the activities going forth from it are another, since it is not, itself, in act. If this be not so, the first act cannot be the Intellectual-Principle: the One does not provide for the existence of an Intellectual-Principle which thereupon appears; that provision would be something intervening between the One and the Intellectual-Principle, its offspring. There could, in fact, be no such providing in The One, for it was never incomplete; and such provision could name nothing that ought to be provided. It cannot be thought to possess only some part of its content, and not the whole; nor did anything exist to which it could turn in desire. Clearly anything that comes into being after it, arises without shaking to its permanence in its own habit. It is essential to the existence of any new entity that the First remain in self-gathered repose throughout: otherwise, it moved before there was motion and had intellectual act before any intellection- unless, indeed, that first act was incomplete, nothing more than a tendency. And what can we imagine it lights upon to become the object of such a tendency?
The only reasonable explanation of act flowing from it lies in the analogy of light from a sun. The entire intellectual order may be figured as a kind of light with the One in repose at its summit as its King: but this manifestation is not cast out from it: we may think, rather, of the One as a light before the light, an eternal irradiation resting upon the Intellectual Realm; this, not identical with its source, is yet not severed from it nor of so remote a nature as to be less than Real-Being; it is no blind thing, but is seeing and knowing, the primal knower.
The One, as transcending Intellect, transcends knowing: above all need, it is above the need of the knowing which pertains solely to the Secondary Nature. Knowing is a unitary thing, but defined: the first is One, but undefined: a defined One would not be the One-absolute: the absolute is prior to the definite.
For there is no single existing being, which does not participate in the one, but as every number participates in an unit, and one dual and one decade...
(2) But One, because He is uniquely all, as beseems an excess of unique Oneness, and is Cause of all without departing from the One. For there is no single existing being, which does not participate in the one, but as every number participates in an unit, and one dual and one decade is spoken of, and one half, and one third and tenth, so everything, and part of everything participates in the one, and by the fact that the One is, all existing things are. And the Cause of all is not One, as one of many, but before every one and multitude, and determinative of every one and multitude. For there is no multitude which does not partake in some way or other of the one. Yea, that which is many by parts, is one in the whole; and the many by the accidents, is one by the subject; and the many by the number or the powers, is one by the species, and the many by the species, is one by the genus; and the many by the progressions, is one by the source. And there is no single thing which does not participate in some way in the one, which uniformly pre-held in the uniqueness throughout all, all and whole, all, even the things opposed. And indeed, without the one there will not be a multitude, but without the multitude there will be the one, even as the unit previous to every multiplied number; and, if any one should suppose, that all things are united to all, the All will be one in the whole.
When it takes lot with multiplicity, Being becomes Number by the fact of awakening to manifoldness;- before, it was a preparation, so to speak, of...
(10) When it takes lot with multiplicity, Being becomes Number by the fact of awakening to manifoldness;- before, it was a preparation, so to speak, of the Beings, their fore-promise, a total of henads offering a stay for what was to be based upon them.
Here with us a man will say "I wish I had such and such a quantity of gold"- or "such and such a number of houses." Gold is one thing: the wish is not to bring the numerical quantity into gold but to bring the gold to quantity; the quantity, already present in the mind, is to be passed on to the gold so that it acquire that numerical value.
If the Beings preceded the number and this were discerned upon them at the stirring, to such and such a total, of the numbering principle, then the actual number of the Beings would be a chance not a choice; since that total is not a matter of chance, Number is a causing principle preceding that determined total.
Number then pre-exists and is the cause by which produced things participate in quantity.
The single thing derives its unity by participation in Unity-Absolute; its being it derives from Being-Absolute, which holds its Being from itself alone; a unity is a unity in virtue of Being; the particular unity- where the unity is a multiple unity- is one thing only as the Triad is; the collective Being is a unity of this kind, the unity not of the monad but of the myriad or any such collective number.
Take a man affirming the presence of ten thousand things; it is he that produces the number; he does not tell us that the ten thousand have uttered it; they merely exhibit their several forms; the enumerator's mind supplies the total which would never be known if the mind kept still.
How does the mind pronounce?
By being able to enumerate; that is by knowing Number: but in order to this, Number must be in existence, and that that Principle should not know its own total content is absurd, impossible.
It is with Number as with Good. When we pronounce things to be good either we mean that they are in their own nature so or we affirm goodness as an accidental in them. Dealing with the primals, the goodness we have in mind is that First Hypostasis; where the goodness is an accidental we imply the existence of a Principle of Good as a necessary condition of the accidental presence; there must be some source of that good which is observed elsewhere, whether this source be an Absolute Good or something that of its own nature produces the good. Similarly with number; in attributing the decad to things we affirm either the truly existent decad or, where the decadhood is accidental, we necessarily posit the self-subsistent decad, decad not associated; if things are to be described as forming a decad, then either they must be of themselves the decad or be preceded by that which has no other being than that of decadhood.
It must be urged as a general truth that anything affirmed of a subject not itself either found its way in from outside or is the characteristic Act of that subject; and supposing the predicated attribute to show no variation of presence and absence but to be always present, then, if the subject is a Real Being so also is the accidental in an equal degree; or, failing Real Being, it at least belongs to the existents, it exists. In the case when the subject can be thought of as remaining without its Act, yet that Act is inbound with it even though to our minds it appears as a later; when on the contrary the subject cannot be conceived without the attribute-man, for example, without unity- then the attribute is either not later but concomitant or, being essential to the existence, is precedent. In our view, Unity and Number are precedent.
It remains then to consider whether Being by its distinction produced Number or Number produced that distinction. It is certain that either Number...
(9) It remains then to consider whether Being by its distinction produced Number or Number produced that distinction. It is certain that either Number was the cause of Being, movement, rest, identity and difference, or these the cause of Number.
The first question is whether Number can exist in and of itself or is dependent upon things- Two being something observed in two things, Three in three; and so of the arithmetical One, for if this could exist apart from numbered objects it could exist also before the divisions of Being.
But could it precede Being itself?
For the present we must take it that Being precedes Number, is its source. But if One means one being and the duality two beings, then unity precedes Being, and Number precedes the Beings.
Mentally, to our approach? Yes: and in reality of existence as well.
Let us consider: When we think of the existence and the fine appearance of a man as forming one thing, that unity is certainly thought of as subsequent to a precedent duality; when we group a horse with a dog, the duality is obviously the subsequent. But think of that which brings man or horse or dog into being or produces them, with full intention, from where they lie latent within itself: the producer must say "I begin with a first, I pass on to a second; that makes two; counting myself there are three." Of course there was no such numbering even of Beings for their production, since the due number was known from the very beginning; but this consideration serves to show that all Number precedes the very Beings themselves.
But if Number thus preceded the Beings, then it is not included among them?
The truth is that it existed within the Authentic Being but not as applying to it, for Being was still unparted; the potentiality of Number existed and so produced the division within Being, put in travail with multiplicity; Number must be either the substance of Being or its Activity; the Life-Form as such and the Intellectual-Principle must be Number. Clearly Being is to be, thought of as Number Collective, while the Beings are Number unfolded: the Intellectual-Principle is Number moving within itself, while the Living-Form is Number container of the universe. Even Being is the outcome of the Unity, and, since the prior is unity, the secondary must be Number.
Hence it is that the Forms have been described as Henads and Numbers. This is the authentic Number; the other, the "monadic" is its image. The Authentic is that made manifest in the Forms and helping to bring them to be; primally it is the Number in the Authentic Being, inherent to it and preceding the Beings, serving to them as root, fount, first principle.
For the Unity is source to Being; Being's Being is stayed upon the Unity as its safeguard from dissolution; the Unity cannot rest upon Being which at that would be a unity before possessing unity; and so with the decad before possessing decadhood.
This is the dispensation of the universe, depending from the nature of the One, pervading [all things] through the Mind, than which is naught diviner...
(23) This is the dispensation of the universe, depending from the nature of the One, pervading [all things] through the Mind, than which is naught diviner nor of greater energy; and naught a greater means for the at-oning men to gods and gods to men. He, [Mind,] is the Good Daimon. Blessed the soul that is most filled with Him, and wretched is the soul that's empty of the Mind. Tat: Father, what dost thou mean, again? Hermes: Dost think then, son, that every soul hath the Good [Mind]? For 'tis of Him we speak, not of the mind in service of which we were just speaking, the mind sent down for [the soul's] chastisement.
Especially must this be known, that according to the pre-conceived species of each one, things united are said to be made one, and the one is...
(3) Especially must this be known, that according to the pre-conceived species of each one, things united are said to be made one, and the one is elemental of all; and if you should take away the one, there will be neither totality nor part, nor any other single existing thing. For the one, uniformly, pre-held and comprehended all things in itself. For this reason, then, the Word of God celebrates the whole Godhead, as Cause of all, by the epithet of the One, both one God the Father, and one Lord Jesus Christ, and one and the same Spirit, by reason of the surpassing indivisibility of the whole Divine Oneness, in which all things are uniquely collected, and are super-unified, and are with It Superessentially. Wherefore also, all things are justly referred and attributed to It, by Which and from Which, and through Which, and in Which, and to Which, all things are, and are co-ordinated, and abide, and are held together, and are filled, and are turned towards It. And you would not find any existing thing, which is not what it is, and perfected and preserved, by the One, after which the whole Deity is superessentially named. And it is necessary also, that we being turned from the many to the One, by the power of the Divine Oneness, should celebrate as One the whole and one Deity--the one Cause of all--which is before every one and multitude, and part and whole, and limit and illimitability, and term and infinity, which bounds all things that be, even the Being Itself, and is uniquely Cause of all, individually and collectively, and at the same time before all, and above all, and above the One existing Itself, and bounding the One existing Itself; since the One existing--that in things being--is numbered, and number participates in essence; but the superessential One bounds both the One existing, and every number, and Itself is, of both one and number, and every being, Source and Cause, and Number and. Order. Wherefore also, whilst celebrated as Unit and Triad, the Deity above all is neither Unit nor Triad, as understood by us or by any other sort of being, but, in order that we may celebrate truly. Its super-oneness, and Divine generation, by the threefold and single name of God, we name the Deity, Which is inexpressible to things that be, the Superessential. But no Unit nor Triad, nor number nor unity, nor productiveness, nor any other existing thing, or thing known to any existing thing, brings forth the hiddenness, above every expression and every mind, of the Super-Deity Which is above all superessentially. Nor has It a Name, or expression, but is elevated above in the inaccessible. And neither do we apply the very Name of Goodness, as making it adequate to It, but through a desire of understanding and saying something concerning that inexpressible nature, we consecrate the most august of Names to It, in the first degree, and although we should be in accord in this matter with the theologians, yet we shall fall short of the truth of the facts. Wherefore, even they have given the preference to the ascent through negations, as lifting the soul out of things kindred to itself, and conducting it through all the Divine conceptions, above which towers that which is above every name, and every expression and knowledge, and at the furthest extremity attaching it to Him, as far indeed as is possible for us to be attached to that Being.
Whereas in all the rest of composed bodies, of each there is a certain number; for without number structure cannot be, or composition, or...
(15) Whereas in all the rest of composed bodies, of each there is a certain number; for without number structure cannot be, or composition, or decomposition. Now it is units that give birth to number and increase it, and, being decomposed, are taken back again into themselves. Matter is one; and this whole Cosmos - the mighty God and image of the mightier One, both with Him unified, and the conserver of the Will and Order of the Father - is filled full of Life. Naught is there in it throughout the whole of Aeon, the Father's [everlasting] Re-establishment - nor of the whole, nor of the parts - which doth not live. For not a single thing that's dead, hath been, or is, or shall be in [this] Cosmos. For that the Father willed it should have Life as long as it should be. Wherefore it needs must be a God.
Chapter XII: God Cannot Be Embraced in Words or By the Mind. (9)
And therefore it is without form and name.
(9) For the One is indivisible; wherefore also it is infinite, not considered with reference to inscrutability, but with reference to its being without dimensions, and not having a limit. And therefore it is without form and name.
Those to whom existence comes about by chance and automatic action and is held together by material forces have drifted far from God and from the...
(5) Those to whom existence comes about by chance and automatic action and is held together by material forces have drifted far from God and from the concept of unity; we are not here addressing them but only such as accept another nature than body and have some conception of soul.
Soul must be sounded to the depths, understood as an emanation from Intellectual-Principle and as holding its value by a Reason-Principle thence infused. Next this Intellect must be apprehended, an Intellect other than the reasoning faculty known as the rational principle; with reasoning we are already in the region of separation and movement: our sciences are Reason-Principles lodged in soul or mind, having manifestly acquired their character by the presence in the soul of Intellectual-Principle, source of all knowing.
Thus we come to see Intellectual-Principle almost as an object of sense: the Intellectual Kosmos is perceptible as standing above soul, father to soul: we know Intellectual-Principle as the motionless, not subject to change, containing, we must think, all things; a multiple but at once indivisible and comporting difference. It is not discriminate as are the Reason-Principles, which can in fact be known one by one: yet its content is not a confusion; every item stands forth distinctly, just as in a science the entire content holds as an indivisible and yet each item is a self-standing verity.
Now a plurality thus concentrated like the Intellectual Kosmos is close upon The First- and reason certifies its existence as surely as that of soul- yet, though of higher sovereignty than soul, it is not The First since it is not a unity, not simplex as unity, principle over all multiplicity, must be.
Before it there is That which must transcend the noblest of the things of Being: there must be a prior to this Principle which aiming towards unity is yet not unity but a thing in unity's likeness. From this highest it is not sundered; it too is self-present: so close to the unity, it cannot be articulated: and yet it is a principle which in some measure has dared secession.
That awesome Prior, The Unity, is not a being, for so its unity would be vested in something else: strictly no name is apt to it, but since name it we must there is a certain rough fitness in designating it as unity with the understanding that it is not the unity of some other thing.
Thus it eludes our knowledge, so that the nearer approach to it is through its offspring, Being: we know it as cause of existence to Intellectual-Principle, as fount of all that is best, as the efficacy which, self-perduring and undiminishing, generates all beings and is not to be counted among these its derivatives, to all of which it must be prior.
This we can but name The Unity, indicating it to each other by a designation that points to the concept of its partlessness while we are in reality striving to bring our own minds to unity. We are not to think of such unity and partlessness as belong to point or monad; the veritable unity is the source of all such quantity which could not exist unless first there existed Being and Being's Prior: we are not, then, to think in the order of point and monad but to use these- in their rejection of magnitude and partition- as symbols for the higher concept.
It may be suggested that the decad is nothing more than so many henads; admitting the one henad why should we reject the ten? As the one is a real...
(11) It may be suggested that the decad is nothing more than so many henads; admitting the one henad why should we reject the ten? As the one is a real existence why not the rest? We are certainly not compelled to attach that one henad to some one thing and so deprive all the rest of the means to unity: since every existent must be one thing, the unity is obviously common to all. This means one principle applying to many, the principle whose existence within itself we affirmed to be presupposed by its manifestation outside.
But if a henad exists in some given object and further is observed in something else, then that first henad being real, there cannot be only one henad in existence; there must be a multiplicity of henads.
Supposing that first henad alone to exist, it must obviously be lodged either in the thing of completest Being or at all events in the thing most completely a unity. If in the thing of completest Being, then the other henads are but nominal and cannot be ranked with the first henad, or else Number becomes a collection of unlike monads and there are differences among monads . If that first henad is to be taken as lodged in the thing of completest unity, there is the question why that most perfect unity should require the first henad to give it unity.
Since all this is impossible, then, before any particular can be thought of as a unit, there must exist a unity bare, unrelated by very essence. If in that realm also there must be a unity apart from anything that can be called one thing, why should there not exist another unity as well?
Each particular, considered in itself, would be a manifold of monads, totalling to a collective unity. If however Nature produces continuously- or rather has produced once for all- not halting at the first production but bringing a sort of continuous unity into being, then it produces the minor numbers by the sheer fact of setting an early limit to its advance: outgoing to a greater extent- not in the sense of moving from point to point but in its inner changes- it would produce the larger numbers; to each number so emerging it would attach the due quantities and the appropriate thing, knowing that without this adaptation to Number the thing could not exist or would be a stray, something outside, at once, of both Number and Reason.