(19) Are we to think of the indivisible phase of the soul and the divided as making one thing in a coalescence; or is the indivisible in a place of its own and under conditions of its own, the divisible being a sequent upon it, a separate part of it, as distinct as the reasoning phase is from the unreasoning?

The answer to this question will emerge when we make plain the nature and function to be attributed to each.

The indivisible phase is mentioned without further qualification; but not so the divisible; "that soul" we read "which becomes divisible in bodies"- and even this last is presented as becoming partible, not as being so once for all.

"In bodies": we must then, satisfy ourselves as to what form of soul is required to produce life in the corporeal, and what there must be of soul present throughout such a body, such a completed organism.

Now, every sensitive power- by the fact of being sensitive throughout- tends to become a thing of parts: present at every distinct point of sensitiveness, it may be thought of as divided. In the sense, however, that it is present as a whole at every such point, it cannot be said to be wholly divided; it "becomes divisible in body." We may be told that no such partition is implied in any sensations but those of touch; but this is not so; where the participant is body that divisibility in the sensitive agent will be a condition of all other sensations, though in less degree than in the case of touch. Similarly the vegetative function in the soul, with that of growth, indicates divisibility; and, admitting such locations as that of desire at the liver and emotional activity at the heart, we have the same result. It is to be noted, however, as regards these sensations, that the body may possibly not experience them as a fact of the conjoint thing but in another mode, as rising within some one of the elements of which it has been participant : reasoning and the act of the intellect, for instance, are not vested in the body; their task is not accomplished by means of the body which in fact is detrimental to any thinking on which it is allowed to intrude.

Thus the indivisible phase of the soul stands distinct from the divisible; they do not form a unity, but, on the contrary, a whole consisting of parts, each part a self-standing thing having its own peculiar virtue. None the less, if that phase which becomes divisible in body holds indivisibility by communication from the superior power, then this one same thing may be at once indivisible and divisible; it will be, as it were, a blend, a thing made up of its own divisible self with, in addition, the quality that it derives from above itself.

(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.

(26) You alone see purely the first, undying, unborn ones and the first divisions, as you were divided.

(6) Separateness is, to quote a writer, "but the working fiction of Creation." All the apparently separated Things are contained within the circle of the World Soul—and the latter is contained within the circle of the Infinite Unmanifest.

(525) how steadily the masters of the art repel and ridicule any one who attempts to divide absolute unity when he is calculating, and if you divide, they multiply 4 , taking care that one shall continue one and not become lost in fractions. That is very true. Now, suppose a person were to say to them: O my friends, what are these wonderful numbers about which you are reasoning, in which, as you say, there is a unity such as you demand, and each unit is equal, invariable, indivisible,—what would they answer? They would answer, as I should conceive, that they were speaking of those numbers which can only be realized in thought. Then you see that this knowledge may be truly called necessary, necessitating as it clearly does the use of the pure intelligence in the attainment of pure truth? Yes; that is a marked characteristic of it. And have you further observed, that those who have a natural talent for calculation are generally quick at every other kind of knowledge; and even the dull, if they have had an arithmetical training, although they may derive no other advantage from it, always become much quicker than they would otherwise have been. Very true, he said.

(8) You have conferred multiplicity, you have found and remained One, while still conferring multiplicity through division.

(1) 'Where one sees nothing else, hears nothing else, understands nothing else, that is the Infinite. Where one sees something else, hears something else, understands something else, that is the finite. The Infinite is immortal, the finite is mortal.' 'Sir, in what does the Infinite rest?' 'In its own greatness--or not even in greatness 2.'

(81) The incomposite-composite numbers are those which have no common divisor, although each of itself is capable of division, such as 9 and 25. For example, 9 is divisible by 3 and 25 by 5, but neither is divisible by the divisor of the other; thus they have no common divisor. Because they have individual divisors, they are called composite; and because they have no common divisor, they are called in, composite. Accordingly, the term incomposite-composite was created to describe their properties.

(10) All of them exist in the single one, as he clothes himself completely and by his single name he is never called. And in this unique way they are equally the single one and the Totalities. He is neither divided as a body, nor is he separated into the names which he has received, (so that) he is one thing in this way and another in another way. Also, neither does he change in [...], nor does he turn into the names which he thinks of, and become now this, now something else, this thing now being one thing and, at another time, something else, but rather he is wholly himself to the uttermost. He is each and every one of the Totalities forever at the same time. He is what all of them are. He brought the Father to the Totalities. He also is the Totalities, for he is the one who is knowledge for himself and he is each one of the properties. He has the powers and he is beyond all that which he knows, while seeing himself in himself completely and having a Son and form. Therefore, his powers and properties are innumerable and inaudible, because of the begetting by which he begets them. Innumerable and indivisible are the begettings of his words, and his commands and his Totalities. He knows them, which things he himself is, since they are in the single name, and are all speaking in it. And he brings (them) forth, in order that it might be discovered that they exist according to their individual properties in a unified way. And he did not reveal the multitude to the Totalities at once nor did he reveal his equality to those who had come forth from him.

(4) As a unity only is It to be looked upon— This indemonstrable, enduring Being, Spotless, beyond space, The unborn Soul, great, enduring.

(103) As the Deity in its being is threefold, in that the efflux out of the seven spirits of God sheweth and generateth itself as threefold, viz. Father, Son, and Holy Ghost, one God; wherein the whole divine power consisteth, and all whatsoever is therein; and they are the three Persons in the Deity, and yet are not a divisible being or essence, but in one another as one:

(9) the Pure intelligence so called because it purifies the Numerations, it proves and corrects the designing of their representation, and disposes their unity with which they are combined without diminution or division.

(11) This then is sufficient on these matters, let us now advance to the purpose of the discourse by unfolding, to the best of our ability, the kindred and common Names of the Divine distinction. And, in order that we may first distinctly define everything, in order, we call Divine distinction, as we have said, the goodly progressions of the Godhead. For, by being given to all things existing, and pouring forth the whole imparted goods in abundance, It is distinguished uniformly, and multiplied uniquely, and is moulded into many from the One, whilst being self-centred. For example, since Almighty God is superessentially Being, but the Being is bequeathed to things being, and produces the whole Essences; that One Being is said to be fashioned in many forms, by the production from Itself of the many beings, whilst It remains undiminished, and One in the multiplicity, and Unified during the progression, and complete in the distinction, both by being superessentially exalted above all beings, and by the unique production of the whole; and by the un-lessened stream of His undiminished distributions. Further, being One, and having distributed the One, both to every part and whole, both to one and to multitude, He is One, as it were, superessentially, being neither a part of the multitude, nor whole from parts; and thus is neither one, nor partakes of one, nor has the one. But, beyond these, He is One, above the one, to things existing--One, and multitude indivisible, unfilled super-fulness, producing and perfecting and sustaining every one thing and multitude. Again, by the Deification from Itself, by the Divine likeness of many who become gods, according to their several capacity, there seems, and is said to be, a distinction and multiplication of the One God, but. He is none the less the Supreme God, and super-God, superessentially One God,--undivided in things divided, unified in Himself, both unmingled and unmultiplied in the many. And when the common conductor of ourselves, and of our leader to the Divine gift of light,--he, who is great in Divine mysteries--the light of the world--had thought out this in a manner above natural ability,--he speaks as follows, from the inspiration of God, in his sacred writings--"For, even if there are who are called gods, whether in heaven or upon earth, as there are gods many and lords many; but to us there is One God, the Father, from Whom are all things, and we unto Him,--and One Lord Jesus Christ, through Whom are all things, and we, through Him." For, with regard to things Divine, the unions overrule the distinctions, and precede them, and are none the less unified, even after the self-centred and unified distinction. These, the mutual and common distinctions, or rather the goodly progressions of the whole Deity, we will endeavour to the best of our ability to celebrate from the Names of God, which make them known in the Oracles;--first, having laid down, as we have said, that every beneficent Name of God, to whichever of the supremely Divine Persons it may be applied, is to be understood with reference to the whole Supremely Divine wholeness unreservedly.

(35) Timaeus: and in the fashion which I shall now describe. Midway between the Being which is indivisible and remains always the same and the Being which is transient and divisible in bodies, He blended a third form of Being compounded out of the twain, that is to say, out of the Same and the Other; and in like manner He compounded it midway between that one of them which is indivisible and that one which is divisible in bodies. And He took the three of them, and blent them all together into one form, by forcing the Other into union with the Same, in spite of its being naturally difficult to mix.

(72) [A man said] to Him, "Tell my brothers to divide my father's possessions with me." He said to him, "O man, who has made Me a divider?" He turned to His disciples and said to them, "I am not a divider, am I?"

(22) We may here adduce the pregnant words of Plato: "Inasmuch as Intellect perceives the variety and plurality of the Forms present in the complete Living Being...." The words apply equally to Soul; Soul is subsequent to Intellect, yet by its very nature it involves Intellect in itself and perceives more clearly in that prior. There is Intellect in our intellect also, which again perceives more clearly in its prior, for while of itself it merely perceives, in the prior it also perceives its own perception.

This intellect, then, to which we ascribe perception, though not divorced from the prior in which it originates, evolves plurality out of unity and has bound up with it the principle of Difference: it therefore takes the form of a plurality-in-unity. A plurality-in-unity, it produces the many intellects by the dictate of its very nature.

It is certainly no numerical unity, no individual thing; for whatever you find in that sphere is a species, since it is divorced from Matter. This may be the import of the difficult words of Plato, that Substance is broken up into an infinity of parts. So long as the division proceeds from genus to species, infinity is not reached; a limit is set by the species generated: the lowest species, however- that which is not divided into further species- may be more accurately regarded as infinite. And this is the meaning of the words: "to relegate them once and for all to infinity and there abandon them." As for particulars, they are, considered in themselves, infinite, but come under number by being embraced by the unity.

Now Soul has Intellect for its prior, is therefore circumscribed by number down to its ultimate extremity; at that point infinity is reached. The particular intellect, though all-embracing, is a partial thing, and the collective Intellect and its various manifestations are in actuality parts of that part. Soul too is a part of a part, though in the sense of being an Act derived from it. When the Act of Intellect is directed upon itself, the result is the manifold intellects; when it looks outwards, Soul is produced.

If Soul acts as a genus or a species, the various souls must act as species. Their activities will be twofold: the activity upward is Intellect; that which looks downward constitutes the other powers imposed by the particular Reason-Principle ; the lowest activity of Soul is in its contact with Matter to which it brings Form.

This lower part of Soul does not prevent the rest from being entirely in the higher sphere: indeed what we call the lower part is but an image of Soul: not that it is cut off from Soul; it is like the reflection in the mirror, depending upon the original which stands outside of it.

But we must keep in mind what this "outside" means. Up to the production of the image, the Intellectual realm is wholly and exclusively composed of Intellectual Beings: in the same way the Sensible world, representing that in so far as it is able to retain the likeness of a living being, is itself a living being: the relation is like that of a portrait or reflection to the original which is regarded as prior to the water or the painting reproducing it.

The representation, notice, in the portrait or on the water is not of the dual being, but of the one element as formed by the other . Similarly, this likeness of the Intellectual realm carries images, not of the creative element, but of the entities contained in that creator, including Man with every other living being: creator and created are alike living beings, though of a different life, and both coexist in the Intellectual realm.

(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.

But if they share (this kind of Being), they share in the prime Vitality, even an indivisible activity, an hypostasis of the primary (activity) of the one that truly exists.

(86) The evenly-odd numbers are those which, when halved, are incapable of further division by halving. They are formed by taking the odd numbers in sequential order and multiplying them by 2. By this process the odd numbers 1, 3, 5, 7, 9, 11 produce the evenly-odd numbers, 2, 6, 10, 14, 18, 22. Thus, every fourth number is evenly-odd. Each of the even-odd numbers may be divided once, as 2, which becomes two 1's and cannot be divided further; or 6, which becomes two 3's and cannot be divided further.

(7) Suppose ye that I am come to give peace on earth? I tell you, Nay; but rather division: for from henceforth there shall be five in one house divided, three against two, and two against three. The father shall be divided against the son, and the son against the father; the mother against the daughter, and the daughter against the mother; the mother in law against her daughter in law, and the daughter in law against her mother in law.