(2) Now the reasoning faculty which undertakes this problem is not a unity but a thing of parts; it brings the bodily nature into the enquiry, borrowing its principles from the corporeal: thus it thinks of the Essential Existence as corporeal and as a thing of parts; it baulks at the unity because it does not start from the appropriate principles. We, however, must be careful to bring the appropriately convincing principles to the discussion of the Unity, of perfect Being: we must hold to the Intellectual principles which alone apply to the Intellectual Order and to Real Being.

On the one hand there is the unstable, exposed to all sorts of change, distributed in place, not so much Being as Becoming: on the other, there is that which exists eternally, not divided, subject to no change of state, neither coming into being nor falling from it, set in no region or place or support, emerging from nowhere, entering into nothing, fast within itself.

In dealing with that lower order we would reason from its own nature and the characteristics it exhibits; thus, on a plausible foundation, we achieve plausible results by a plausible system of deduction: similarly, in dealing with the Intellectual, the only way is to grasp the nature of the essence concerned and so lay the sure foundations of the argument, not forgetfully straying over into that other order but basing our treatment on what is essential to the Nature with which we deal.

In every entity the essential nature is the governing principle and, as we are told, a sound definition brings to light many even of the concomitants: where the essential nature is the entire being, we must be all the more careful to keep to that, to look to that, to refer all to that.

(2) Thus we may not look for the Intellectual objects outside of the Intellectual-Principle, treating them as impressions of reality upon it: we cannot strip it of truth and so make its objects unknowable and non-existent and in the end annul the Intellectual-Principle itself. We must provide for knowledge and for truth; we must secure reality; being must become knowable essentially and not merely in that knowledge of quality which could give us a mere image or vestige of the reality in lieu of possession, intimate association, absorption.

The only way to this is to leave nothing out side of the veritable Intellectual-Principle which thus has knowledge in the true knowing , cannot forget, need not go wandering in search. At once truth is there, this is the seat of the authentic Existents, it becomes living and intellective: these are the essentials of that most lofty Principle; and, failing them, where is its worth, its grandeur?

Only thus is it dispensed from demonstration and from acts of faith in the truth of its knowledge: it is its entire self, self-perspicuous: it knows a prior by recognising its own source; it knows a sequent to that prior by its self-identity; of the reality of this sequent, of the fact that it is present and has authentic existence, no outer entity can bring it surer conviction.

Thus veritable truth is not accordance with an external; it is self-accordance; it affirms and is nothing other than itself and is nothing other; it is at once existence and self-affirmation. What external, then, can call it to the question, and from what source of truth could the refutation be brought? Any counter affirmation must fall into identity with the truth which first uttered itself; brought forward as new, it has to appear before the Principle which made the earlier statement and to show itself identical with that: for there is no finding anything truer than the true.

(2) But indications of this theory worthy of notice may be mentioned, by which it is possible for you, and those who resemble you, to be conducted by intellect to the essence of [real] beings. And with respect to such things as become known by a reasoning process, we shall leave no one of these without a perfect demonstration. But in all things we shall give to each that which is appropriate. And such questions, indeed, as are theological, we shall answer theologically; such as are theurgic, theurgically; but such as are philosophical, we shall, in conjunction with you, philosophically explore. Of these, also, such as extend to first causes, we shall unfold into light, by following them conformably to first principles. But such as pertain to morals, or to ends, we shall fitly discuss, according to the ethical mode. And, in a similar manner, we shall examine other things methodically and appropriately. Let us, therefore, now betake ourselves to your inquiries.

(9) Anaxagoras, again, in his assertion of a Mind pure and unmixed, affirms a simplex First and a sundered One, though writing long ago he failed in precision.

Heraclitus, with his sense of bodily forms as things of ceaseless process and passage, knows the One as eternal and intellectual.

In Empedocles, similarly, we have a dividing principle, "Strife," set against "Friendship"- which is The One and is to him bodiless, while the elements represent Matter.

Later there is Aristotle; he begins by making the First transcendent and intellective but cancels that primacy by supposing it to have self-intellection. Further he affirms a multitude of other intellective beings- as many indeed as there are orbs in the heavens; one such principle as in- over to every orb- and thus his account of the Intellectual Realm differs from Plato's and, failing reason, he brings in necessity; though whatever reasons he had alleged there would always have been the objection that it would be more reasonable that all the spheres, as contributory to one system, should look to a unity, to the First.

We are obliged also to ask whether to Aristotle's mind all Intellectual Beings spring from one, and that one their First; or whether the Principles in the Intellectual are many.

If from one, then clearly the Intellectual system will be analogous to that of the universe of sense-sphere encircling sphere, with one, the outermost, dominating all- the First will envelop the entire scheme and will be an Intellectual Kosmos; and as in our universe the spheres are not empty but the first sphere is thick with stars and none without them, so, in the Intellectual Kosmos, those principles of Movement will envelop a multitude of Beings, and that world will be the realm of the greater reality.

If on the contrary each is a principle, then the effective powers become a matter of chance; under what compulsion are they to hold together and act with one mind towards that work of unity, the harmony of the entire heavenly system? Again what can make it necessary that the material bodies of the heavenly system be equal in number to the Intellectual moving principles, and how can these incorporeal Beings be numerically many when there is no Matter to serve as the basis of difference?

For these reasons the ancient philosophers that ranged themselves most closely to the school of Pythagoras and of his later followers and to that of Pherekudes, have insisted upon this Nature, some developing the subject in their writings while others treated of it merely in unwritten discourses, some no doubt ignoring it entirely.

(2) But are we really obliged to posit the existence of such genera?

Take Substance, for Substance must certainly be our starting-point: what are the grounds for regarding Substance as one single genus?

It has been remarked that Substance cannot be a single entity common to both the Intellectual and the Sensible worlds. We may add that such community would entail the existence of something prior to Intellectual and Sensible Substances alike, something distinct from both as predicated of both; and this prior would be neither body nor unembodied; for it were one or the other, body would be unembodied, or the unembodied would be the body.

This conclusion must not however prevent our seeking in the actual substance of the Sensible world an element held in common by Matter, by Form and by their Composite, all of which are designated as substances, though it is not maintained that they are Substance in an equal degree; Form is usually held to be Substance in a higher degree than Matter, and rightly so, in spite of those who would have Matter to be the more truly real.

There is further the distinction drawn between what are known as First and Second Substances. But what is their common basis, seeing that the First are the source from which the Second derive their right to be called substances?

But, in sum, it is impossible to define Substance: determine its property, and still you have not attained to its essence. Even the definition, "That which, numerically one and the same, is receptive of contraries," will hardly be applicable to all substances alike.

(5) But whence does this science derive its own initial laws?

The Intellectual-Principle furnishes standards, the most certain for any soul that is able to apply them. What else is necessary, Dialectic puts together for itself, combining and dividing, until it has reached perfect Intellection. "For," we read, "it is the purest of Intellection and Contemplative-Wisdom." And, being the noblest method and science that exists it must needs deal with Authentic-Existence, The Highest there is: as Contemplative-Wisdom it deals with Being, as Intellection with what transcends Being.

What, then, is Philosophy?

Philosophy is the supremely precious.

Is Dialectic, then, the same as Philosophy?

It is the precious part of Philosophy. We must not think of it as the mere tool of the metaphysician: Dialectic does not consist of bare theories and rules: it deals with verities; Existences are, as it were, Matter to it, or at least it proceeds methodically towards Existences, and possesses itself, at the one step, of the notions and of the realities.

Untruth and sophism it knows, not directly, not of its own nature, but merely as something produced outside itself, something which it recognises to be foreign to the verities laid up in itself; in the falsity presented to it, it perceives a clash with its own canon of truth. Dialectic, that is to say, has no knowledge of propositions- collections of words- but it knows the truth, and, in that knowledge, knows what the schools call their propositions: it knows above all, the operation of the soul, and, by virtue of this knowing, it knows, too, what is affirmed and what is denied, whether the denial is of what was asserted or of something else, and whether propositions agree or differ; all that is submitted to it, it attacks with the directness of sense-perception and it leaves petty precisions of process to what other science may care for such exercises.

(4) If we had to ascertain the nature of body and the place it holds in the universe, surely we should take some sample of body, say stone, and examine into what constituents it may be divided. There would be what we think of as the substrate of stone, its quantity- in this case, a magnitude; its quality- for example, the colour of stone. As with stone, so with every other body: we should see that in this thing, body, there are three distinguishable characteristics- the pseudo-substance, the quantity, the quality- though they all make one and are only logically trisected, the three being found to constitute the unit thing, body. If motion were equally inherent in its constitution, we should include this as well, and the four would form a unity, the single body depending upon them all for its unity and characteristic nature.

The same method must be applied in examining the Intellectual Substance and the genera and first-principles of the Intellectual sphere.

But we must begin by subtracting what is peculiar to body, its coming-to-be, its sensible nature, its magnitude- that is to say, the characteristics which produce isolation and mutual separation. It is an Intellectual Being we have to consider, an Authentic Existent, possessed of a unity surpassing that of any sensible thing.

Now the wonder comes how a unity of this type can be many as well as one. In the case of body it was easy to concede unity-with-plurality; the one body is divisible to infinity; its colour is a different thing from its shape, since in fact they are separated. But if we take Soul, single, continuous, without extension, of the highest simplicity- as the first effort of the mind makes manifest- how can we expect to find multiplicity here too? We believed that the division of the living being into body and soul was final: body indeed was manifold, composite, diversified; but in soul we imagined we had found a simplex, and boldly made a halt, supposing that we had come to the limit of our course.

Let us examine this soul, presented to us from the Intellectual realm as body from the Sensible. How is its unity a plurality? How is its plurality a unity? Clearly its unity is not that of a composite formed from diverse elements, but that of a single nature comprising a plurality.

This problem attacked and solved, the truth about the genera comprised in Being will thereby, as we asserted, be elucidated also.

(1) Philosophy at a very early stage investigated the number and character of the Existents. Various theories resulted: some declared for one Existent, others for a finite number, others again for an infinite number, while as regards the nature of the Existents- one, numerically finite, or numerically infinite- there was a similar disagreement. These theories, in so far as they have been adequately examined by later workers, may be passed over here; our attention must be directed upon the results of those whose examination has led them to posit on their awn account certain well-defined genera.

These thinkers rejected pure unity on the ground of the plurality observed even in the Intellectual world; they rejected an infinite number as not reconcilable with the facts and as defying knowledge: considering the foundations of being to be "genera" rather than elements strictly so called, they concluded for a finite number. Of these "genera" some found ten, others less, others no doubt more.

But here again there is a divergence of views. To some the genera are first-principles; to others they indicate only a generic classification of the Existents themselves.

Let us begin with the well-known tenfold division of the Existents, and consider whether we are to understand ten genera ranged under the common name of Being, or ten categories. That the term Being has not the same sense in all ten is rightly maintained.

But a graver problem confronts us at the outset: Are the ten found alike in the Intellectual and in the Sensible realms? Or are all found in the Sensible and some only in the Intellectual? All in the Intellectual and some in the Sensible is manifestly impossible.

At this point it would be natural to investigate which of the ten belong to both spheres, and whether the Existents of the Intellectual are to be ranged under one and the same genus with the Existents in the Sensible, or whether the term "Existence" is equivocal as applied to both realms. If the equivocation exists, the number of genera will be increased: if there is no equivocation, it is strange to find the one same "Existence" applying to the primary and to the derivative Existents when there is no common genus embracing both primal and secondary.

These thinkers are however not considering the Intellectual realm in their division, which was not intended to cover all the Existents; the Supreme they overlooked.

(5) These are incontrovertible facts in regard to the pseudo-substance of the Sensible realm: if they apply also in some degree to the True Substance of the Intellectual, the coincidence is, doubtless, to be attributed to analogy and ambiguity of terms.

We are aware that "the first" is so called only in relation to the things which come after it: "first" has no absolute significance; the first of one series is subsequent to the last of another. "Substrate," similarly, varies in meaning , while as for passivity its very existence in the Intellectual is questionable; if it does exist there, it is not the passivity of the Sensible.

It follows that the fact of "not being present in a subject is not universally true of Substance, unless presence in a subject be stipulated as not including the case of the part present in the whole or of one thing combining with another to form a distinct unity; a thing will not be present as in a subject in that with which it co-operates in the information of a composite substance. Form, therefore, is not present in Matter as in a subject, nor is Man so present in Socrates, since Man is part of Socrates.

Substance, then, is that which is not present in a subject. But if we adopt the definition "neither present in a subject nor predicated of a subject," we must add to the second "subject" the qualification "distinct," in order that we may not exclude the case of Man predicated of a particular man. When I predicate Man of Socrates, it is as though I affirmed, not that a piece of wood is white, but that whiteness is white; for in asserting that Socrates is a man, I predicate Man of a particular man, I affirm Man of the manhood in Socrates; I am really saying only that Socrates is Socrates, or that this particular rational animal is an animal.

It may be objected that non-presence in a subject is not peculiar to Substance, inasmuch as the differentia of a substance is no more present in a subject than the substance itself; but this objection results from taking a part of the whole substance, such as "two-footed" in our example, and asserting that this part is not present in a subject: if we take, not "two-footed" which is merely an aspect of Substance, but "two-footedness" by which we signify not Substance but Quality, we shall find that this "two-footedness" is indeed present in a subject.

We may be told that neither Time nor Place is present in a subject. But if the definition of Time as the measure of Motion be regarded as denoting something measured, the "measure" will be present in Motion as in a subject, while Motion will be present in the moved: if, on the contrary, it be supposed to signify a principle of measurement, the "measure" will be present in the measurer.

Place is the limit of the surrounding space, and thus is present in that space.

The truth is, however, that the "Substance" of our enquiry may be apprehended in directly opposite ways: it may be determined by one of the properties we have been discussing, by more than one, by all at once, according as they answer to the notions of Matter, Form and the Couplement.

(3) But perhaps we should rather speak of some single category, embracing Intellectual Substance, Matter, Form, and the Composite of Matter and Form. One might refer to the family of the Heraclids as a unity in the sense, not of a common element in all its members, but of a common origin: similarly, Intellectual Substance would be Substance in the first degree, the others being substances by derivation and in a lower degree.

But what is the objection to including everything in a single category, all else of which existence is predicated being derived from that one thing, Existence or Substance? Because, granted that things be no more than modifications of Substance, there is a distinct grading of substances themselves. Moreover, the single category does not put us in a position to build on Substance, or to grasp it in its very truth as the plausible source of the other substances.

Supposing we grant that all things known as substances are homogeneous as possessing something denied to the other genera, what precisely is this something, this individuality, this subject which is never a predicate, this thing not present in any thing as in a subject, this thing which does not owe its essential character to any other thing, as a quality takes character from a body and a quantity from a substance, as time is related to motion and motion to the moved?

The Second Substance is, it is true, a predicate. But predication in this case signifies a different relation from that just considered; it reveals the genus inherent in the subject and the subject's essential character, whereas whiteness is predicated of a thing in the sense of being present in the thing.

The properties adduced may indeed be allowed to distinguish Substance from the other Existents. They afford a means of grouping substances together and calling them by a common name. They do not however establish the unity of a genus, and they do not bring to light the concept and the nature of Substance.

These considerations are sufficient for our purpose: let us now proceed to investigate the nature of Quantity.

(1) The Intellectual-Principle, the veritably and essentially intellective, can this be conceived as ever falling into error, ever failing to think reality?

Assuredly no: it would no longer be intelligent and therefore no longer Intellectual-Principle: it must know unceasingly- and never forget; and its knowledge can be no guesswork, no hesitating assent, no acceptance of an alien report. Nor can it call on demonstration or, we are told it may at times act by this or, I method, at least there must be something patent to it in virtue of its own nature. In actual fact reason tells us that all its knowledge is thus inherent to it, for there is no means by which to distinguish between the spontaneous knowledge and the other. But, in any case, some knowledge, it is conceded, is inherent to it. Whence are we to understand the certainty of this knowledge to come to it or how do its objects carry the conviction of their reality?

Consider sense-knowledge: its objects seem most patently certified, yet the doubt returns whether the apparent reality may not lie in the states of the percipient rather than in the material before him; the decision demands intelligence or reasoning. Besides, even granting that what the senses grasp is really contained in the objects, none the less what is thus known by the senses is an image: sense can never grasp the thing itself; this remains for ever outside.

Now, if the Intellectual-Principle in its act- that is in knowing the intellectual- is to know these its objects as alien, we have to explain how it makes contact with them: obviously it might never come upon them, and so might never know them; or it might know them only upon the meeting: its knowing, at that, would not be an enduring condition. If we are told that the Intellectual-Principle and the Intellectual Objects are linked in a standing unity, we demand the description of this unity.

Next, the intellections would be impressions, that is to say not native act but violence from without: now how is such impressing possible and what shape could the impressions bear?

Intellection, again, becomes at this a mere handling of the external, exactly like sense-perception. What then distinguishes it unless that it deals with objects of less extension? And what certitude can it have that its knowledge is true? Or what enables it to pronounce that the object is good, beautiful, or just, when each of these ideas is to stand apart from itself? The very principles of judgement, by which it must be guided, would be excluded: with objects and canons alike outside it, so is truth.

Again; either the objects of the Intellectual-Principle are senseless and devoid of life and intellect or they are in possession of Intellect.

Now, if they are in possession of Intellect, that realm is a union of both and is Truth. This combined Intellectual realm will be the Primal Intellect: we have only then to examine how this reality, conjoint of Intellectual-Principle and its object, is to be understood, whether as combining self-united identity with yet duality and difference, or what other relation holds between them.

If on the contrary the objects of Intellectual-Principle are without intelligence and life, what are they? They cannot be premises, axioms or predicates: as predicates they would not have real existence; they would be affirmations linking separate entities, as when we affirm that justice is good though justice and good are distinct realities.

If we are told that they are self-standing entities- the distinct beings Justice and Good- then the Intellectual Realm will not be a unity nor be included in any unity: all is sundered individuality. Where, then, are they and what spatial distinction keeps them apart? How does the Intellectual-Principle come to meet with them as it travels round; what keeps each true to its character; what gives them enduring identity; what conceivable shape or character can they have? They are being presented to us as some collection of figures, in gold or some other material substance, the work of some unknown sculptor or graver: but at once the Intellectual-Principle which contemplates them becomes sense-perception; and there still remains the question how one of them comes to be Justice and another something else.

But the great argument is that if we are to allow that these objects of Intellection are in the strict sense outside the Intellectual-Principle, which, therefore, must see them as external, then inevitably it cannot possess the truth of them.

In all it looks upon, it sees falsely; for those objects must be the authentic things; yet it looks upon them without containing them and in such knowledge holds only their images; that is to say, not containing the authentic, adopting phantasms of the true, it holds the false; it never possesses reality. If it knows that it possesses the false, it must confess itself excluded from the truth; if it fails of this knowledge also, imagining itself to possess the truth which has eluded it, then the doubled falsity puts it the deeper into error.

It is thus, I suppose, that in sense-perception we have belief instead of truth; belief is our lief; we satisfy ourselves with something very different from the original which is the occasion of perception.

In fine, there would be on the hypothesis no truth in the Intellectual-Principle. But such an Intellectual-Principle would not be truth, nor truly an Intellectual-Principle. There would be no Intellectual-Principle at all : yet elsewhere truth cannot be.

(5) How then can a multitude of essential beings be really one?

Obviously either the one essence will be entire in all, or the many will rise from a one which remains unaltered and yet includes the one- many in virtue of giving itself, without self-abandonment, to its own multiplication.

It is competent thus to give and remain, because while it penetrates all things it can never itself be sundered: this is an identity in variety.

There is no reason for dismissing this explanation: we may think of a science with its constituents standing as one total, the source of all those various elements: again, there is the seed, a whole, producing those new parts in which it comes to its division; each of the new growths is a whole while the whole remains undiminished: only the material element is under the mode of part, and all the multiplicity remains an entire identity still.

It may be objected that in the case of science the constituents are not each the whole.

But even in the science, while the constituent selected for handling to meet a particular need is present actually and takes the lead, still all the other constituents accompany it in a potential presence, so that the whole is in every part: only in this sense is the whole science distinguished from the part: all, we may say, is here simultaneously effected: each part is at your disposal as you choose to take it; the part invites the immediate interest, but its value consists in its approach to the whole.

The detail cannot be considered as something separate from the entire body of speculation: so treated it would have no technical or scientific value; it would be childish divagation. The one detail, when it is a matter of science, potentially includes all. Grasping one such constituent of his science, the expert deduces the rest by force of sequence.

the geometrician, in his analysis, shows that the single proposition includes all the items that go to constitute it and all the propositions which can be developed from it.

It is our feebleness that leads to doubt in these matters; the body obscures the truth, but There all stands out clear and separate.

(2) In the first place, therefore, we shall divide the genera of the proposed problems, in order that we may know the quantity and quality of them. And, in the next place, we shall show from what theologies the doubts are assumed, and according to what sciences they are investigated. For some things that are badly confused, require a certain distinction; others are conversant with the cause through which they subsist, and are apprehended; others, which we propose according to a certain contrariety, draw our decision on both sides; and some things require from us the whole development of mystic doctrines. Such, therefore, being the nature of the subjects of discussion, they are assumed from many places, and from different sciences. For some things introduce animadversions from what the wise men of the Chaldeans have delivered; others produce objections from what the prophets of the Egyptians teach; and there are some that, adhering to the theory of philosophers, make inquiries conformably to them. There are now likewise some, that from other opinions, which do not deserve to be mentioned, elicite a certain dubitation; and others originate from the common conceptions of mankind. These things, therefore, are of themselves variously disposed, and are multiformly connected with each other. Hence, through all these causes, a certain discussion is requisite for the management of them in a becoming manner.