(10) Another method of division is possible: substances may be classed as hot-dry, dry-cold, cold-moist, or however we choose to make the coupling. We may then proceed to the combination and blending of these couples, either halting at that point and going no further than the compound, or else subdividing by habitation- on the earth, in the earth- or by form and by the differences exhibited by living beings, not qua living, but in their bodies viewed as instruments of life.

Differentiation by form or shape is no more out of place than a division based on qualities- heat, cold and the like. If it be objected that qualities go to make bodies what they are, then, we reply, so do blendings, colours, shapes. Since our discussion is concerned with Sensible Substance, it is not strange that it should turn upon distinctions related to sense-perception: this Substance is not Being pure and simple, but the Sensible Being which we call the Universe.

We have remarked that its apparent subsistence is in fact an assemblage of Sensibles, their existence guaranteed to us by sense-perception. But since their combination is unlimited, our division must be guided by the Form-Ideas of living beings, as for example the Form-Idea of Man implanted in Body; the particular Form acts as a qualification of Body, but there is nothing unreasonable in using qualities as a basis of division.

We may be told that we have distinguished between simple and composite bodies, even ranking them as opposites. But our distinction, we reply, was between material and organic bodies and raised no question of the composite. In fact, there exists no means of opposing the composite to the simple; it is necessary to determine the simples in the first stage of division, and then, combining them on the basis of a distinct underlying principle, to differentiate the composites in virtue of their places and shapes, distinguishing for example the heavenly from the earthly.

These observations will suffice for the Being , or rather the Becoming, which obtains in the Sensible realm.

(1) And all dependent from Above are subdivided into species in the fashion which I am to tell. The genera of all things company with their own species; so that the genus is a class in its entirety, the species is part of a genus. The genus of the Gods will, therefore, make the species of the Gods out of itself. In like way, too, the genus of the daimons, and of men, likewise of birds, and of all [animals] the Cosmos doth contain within itself, brings into being species like itself. There is besides a genus other than the animal,—a genus, or indeed a soul, in that it’s not without sensation,—in consequence of which it both finds happiness in suitable conditions, and pines and spoils in adverse ones;—I mean [the class] of all things on the earth which owe their life to the sound state of roots and shoots, of which the various kinds are scattered through the length and breadth of Earth.

(19) Having established our four primary genera, it remains for us to enquire whether each of them of itself alone produces species. And especially, can Being be divided independently, that is without drawing upon the other genera? Surely not: the differentiae must come from outside the genus differentiated: they must be differentiae of Being proper, but cannot be identical with it.

Where then is it to find them? Obviously not in non-beings. If then in beings, and the three genera are all that is left, clearly it must find them in these, by conjunction and couplement with these, which will come into existence simultaneously with itself.

But if all come into existence simultaneously, what else is produced but that amalgam of all Existents which we have just considered ? How can other things exist over and above this all-including amalgam? And if all the constituents of this amalgam are genera, how do they produce species? How does Motion produce species of Motion? Similarly with Stability and the other genera.

A word of warning must here be given against sinking the various genera in their species; and also against reducing the genus to a mere predicate, something merely seen in the species. The genus must exist at once in itself and in its species; it blends, but it must also be pure; in contributing along with other genera to form Substance, it must not destroy itself. There are problems here that demand investigation.

But since we identified the amalgam of the Existents with the particular intellect, Intellect as such being found identical with Being or Substance, and therefore prior to all the Existents, which may be regarded as its species or members, we may infer that the intellect, considered as completely unfolded, is a subsequent.

Our treatment of this problem may serve to promote our investigation; we will take it as a kind of example, and with it embark upon our enquiry.

(13) It has been remarked that the continuous is effectually distinguished from the discrete by their possessing the one a common, the other a separate, limit.

The same principle gives rise to the numerical distinction between odd and even; and it holds good that if there are differentiae found in both contraries, they are either to be abandoned to the objects numbered, or else to be considered as differentiae of the abstract numbers, and not of the numbers manifested in the sensible objects. If the numbers are logically separable from the objects, that is no reason why we should not think of them as sharing the same differentiae.

But how are we to differentiate the continuous, comprising as it does line, surface and solid? The line may be rated as of one dimension, the surface as of two dimensions, the solid as of three, if we are only making a calculation and do not suppose that we are dividing the continuous into its species; for it is an invariable rule that numbers, thus grouped as prior and posterior, cannot be brought into a common genus; there is no common basis in first, second and third dimensions. Yet there is a sense in which they would appear to be equal- namely, as pure measures of Quantity: of higher and lower dimensions, they are not however more or less quantitative.

Numbers have similarly a common property in their being numbers all; and the truth may well be, not that One creates two, and two creates three, but that all have a common source.

Suppose, however, that they are not derived from any source whatever, but merely exist; we at any rate conceive them as being derived, and so may be assumed to regard the smaller as taking priority over the greater: yet, even so, by the mere fact of their being numbers they are reducible to a single type.

What applies to numbers is equally true of magnitudes; though here we have to distinguish between line, surface and solid- the last also referred to as "body"- in the ground that, while all are magnitudes, they differ specifically.

It remains to enquire whether these species are themselves to be divided: the line into straight, circular, spiral; the surface into rectilinear and circular figures; the solid into the various solid figures- sphere and polyhedANSWER: whether these last should be subdivided, as by the geometers, into those contained by triangular and quadrilateral planes: and whether a further division of the latter should be performed.

(1) After these things, you again subjoin another division for yourself, “ in which you separate the essences of the more excellent genera by the difference of passive and impassive .” But neither do I admit this division. For no one of the more excellent genera is passive, nor yet impassive in such a way as to be contradistinguished from that which is passive; nor is naturally adapted to receive passions, but liberated from them through virtue, or some other worthy condition of being. But because they are entirely exempt from the contrariety of action and passion; and because they are not at all adapted to suffer, and have essentially an immutable firmness, on this account I place the impassive and the immutable in all the divine genera.

(9) So much for one of the genera- the "Substance," so called, of the Sensible realm.

But what are we to posit as its species? how divide this genus?

The genus as a whole must be identified with body. Bodies may be divided into the characteristically material and the organic: the material bodies comprise fire, earth, water, air; the organic the bodies of plants and animals, these in turn admitting of formal differentiation.

The next step is to find the species of earth and of the other elements, and in the case of organic bodies to distinguish plants according to their forms, and the bodies of animals either by their habitations- on the earth, in the earth, and similarly for the other elements- or else as light, heavy and intermediate. Some bodies, we shall observe, stand in the middle of the universe, others circumscribe it from above, others occupy the middle sphere: in each case we shall find bodies different in shape, so that the bodies of the living beings of the heavens may be differentiated from those of the other elements.

Once we have classified bodies into the four species, we are ready to combine them on a different principle, at the same time intermingling their differences of place, form and constitution; the resultant combinations will be known as fiery or earthy on the basis of the excess or predominance of some one element.

The distinction between First and Second Substances, between Fire and a given example of fire, entails a difference of a peculiar kind- the difference between universal and particular. This however is not a difference characteristic of Substance; there is also in Quality the distinction between whiteness and the white object, between grammar and some particular grammar.

The question may here be asked: "What deficiency has grammar compared with a particular grammar, and science as a whole in comparison with a science?" Grammar is certainly not posterior to the particular grammar: on the contrary, the grammar as in you depends upon the prior existence of grammar as such: the grammar as in you becomes a particular by the fact of being in you; it is otherwise identical with grammar the universal.

Turn to the case of Socrates: it is not Socrates who bestows manhood upon what previously was not Man, but Man upon Socrates; the individual man exists by participation in the universal.

Besides, Socrates is merely a particular instance of Man; this particularity can have no effect whatever in adding to his essential manhood.

We may be told that Man is Form alone, Socrates Form in Matter. But on this very ground Socrates will be less fully Man than the universal; for the Reason-Principle will be less effectual in Matter. If, on the contrary, Man is not determined by Form alone, but presupposes Matter, what deficiency has Man in comparison with the material manifestation of Man, or the Reason-Principle in isolation as compared with its embodiment in a unit of Matter?

Besides, the more general is by nature prior; hence, the Form-Idea is prior to the individual: but what is prior by nature is prior unconditionally. How then can the Form take a lower rank? The individual, it is true, is prior in the sense of being more readily accessible to our cognisance; this fact, however, entails no objective difference.

Moreover, such a difference, if established, would be incompatible with a single Reason-Principle of Substance; First and Second Substance could not have the same Principle, nor be brought under a single genus.

(2) In asserting that Being is not a unity, we do not mean to imply a definite number of existences; the number may well be infinite: we mean simply that it is many as well as one, that it is, so to speak, a diversified unity, a plurality in unity.

It follows that either the unity so regarded is a unity of genus under which the Existents, involving as they do plurality as well as unity, stand as species; or that while there are more genera than one, yet all are subordinate to a unity; or there may be more genera than one, though no one genus is subordinate to any other, but all with their own subordinates- whether these be lesser genera, or species with individuals for their subordinates- all are elements in one entity, and from their totality the Intellectual realm- that which we know as Being- derives its constitution.

If this last is the truth, we have here not merely genera, but genera which are at the same time principles of Being. They are genera because they have subordinates- other genera, and successively species and individuals; they are also principles, since from this plurality Being takes its rise, constituted in its entirety from these its elements.

Suppose, however, a greater number of origins which by their mere totality comprised, without possessing any subordinates, the whole of Being; these would be first-principles but not geneANSWER: it would be as if one constructed the sensible world from the four elements- fire and the others; these elements would be first principles, but they would not be genera, unless the term "genus" is to be used equivocally.

But does this assertion of certain genera which are at the same time first-principles imply that by combining the genera, each with its subordinates, we find the whole of Being in the resultant combination? But then, taken separately, their existence will not be actual but only potential, and they will not be found in isolation.

Suppose, on the other hand, we ignore the genera and combine the particulars: what then becomes of the ignored genera? They will, surely, exist in the purity of their own isolation, and the mixtures will not destroy them. The question of how this result is achieved may be postponed.

For the moment we take it as agreed that there are genera as distinct from principles of Being and that, on another plane, principles are opposed to compounds. We are thus obliged to show in what relation we speak of genera and why we distinguish them instead of summing them under a unity; for otherwise we imply that their coalescence into a unity is fortuitous, whereas it would be more plausible to dispense with their separate existence.

If all the genera could be species of Being, all individuals without exception being immediately subordinate to these species, then such a unification becomes feasible. But that supposition bespeaks annihilation for the geneANSWER: the species will no longer be species; plurality will no longer be subordinated to unity; everything must be the unity, unless there exist some thing or things outside the unity. The One never becomes many- as the existence of species demands- unless there is something distinct from it: it cannot of itself assume plurality, unless we are to think of it as being broken into pieces like some extended body: but even so, the force which breaks it up must be distinct from it: if it is itself to effect the breaking up- or whatever form the division may take- then it is itself previously divided.

For these and many other reasons we must abstain from positing a single genus, and especially because neither Being nor Substance can be the predicate of any given thing. If we do predicate Being, it is only as an accidental attribute; just as when we predicate whiteness of a substance, we are not predicating the Absolute Whiteness.

(25) There are those who lay down four categories and make a fourfold division into Substrates, Qualities, States, and Relative States, and find in these a common Something, and so include everything in one genus.

Against this theory there is much to be urged, but particularly against this posing of a common Something and a single all-embracing genus. This Something, it may be submitted, is unintelligible to themselves, is indefinable, and does not account either for bodies or for the bodiless. Moreover, no room is left for a differentia by which this Something may be distinguished. Besides, this common Something is either existent or non-existent: if existent, it must be one or other of its species;- if non-existent, the existent is classed under the non-existent. But the objections are countless; we must leave them for the present and consider the several heads of the division.

To the first genus are assigned Substrates, including Matter, to which is given a priority over the others; so that what is ranked as the first principle comes under the same head with things which must be posterior to it since it is their principle.

First, then: the prior is made homogeneous with the subsequent. Now this is impossible: in this relation the subsequent owes its existence to the prior, whereas among things belonging to one same genus each must have, essentially, the equality implied by the genus; for the very meaning of genus is to be predicated of the species in respect of their essential character. And that Matter is the basic source of all the rest of things, this school, we may suppose, would hardly deny.

Secondly: since they treat the Substrate as one thing, they do not enumerate the Existents; they look instead for principles of the Existents. There is however a difference between speaking of the actual Existents and of their principles.

If Matter is taken to be the only Existent, and all other things as modifications of Matter, it is not legitimate to set up a single genus to embrace both the Existent and the other things; consistency requires that Being be distinguished from its modifications and that these modifications be duly classified.

Even the distinction which this theory makes between Substrates and the rest of things is questionable. The Substrate is one thing and admits of no differentia- except perhaps in so far as it is split up like one mass into its various parts; and yet not even so, since the notion of Being implies continuity: it would be better, therefore, to speak of the Substrate, in the singular.

(12) Enough upon that side of the question. But how does the perfection of numbers, lifeless things, depend upon their particular unity? Just as all other inanimates find their perfection in their unity.

If it should be objected that numbers are simply non-existent, we should point out that our discussion is concerned with beings considered from the aspect of their unity.

We may again be asked how the point- supposing its independent existence granted- participates in perfection. If the point is chosen as an inanimate object, the question applies to all such objects: but perfection does exist in such things, for example in a circle: the perfection of the circle will be perfection for the point; it will aspire to this perfection and strive to attain it, as far as it can, through the circle.

But how are the five genera to be regarded? Do they form particulars by being broken up into parts? No; the genus exists as a whole in each of the things whose genus it is.

But how, at that, can it remain a unity? The unity of a genus must be considered as a whole-in-many.

Does it exist then only in the things participating in it? No; it has an independent existence of its own as well. But this will, no doubt, become clearer as we proceed.

(7) What, then, are the several entities observable in this plurality?

We have found Substance and life simultaneously present in Soul. Now, this Substance is a common property of Soul, but life, common to all souls, differs in that it is a property of Intellect also.

Having thus introduced Intellect and its life we make a single genus of what is common to all life, namely, Motion. Substance and the Motion, which constitutes the highest life, we must consider as two genera; for even though they form a unity, they are separable to thought which finds their unity not a unity; otherwise, it could not distinguish them.

Observe also how in other things Motion or life is clearly separated from Being- a separation impossible, doubtless, in True Being, but possible in its shadow and namesake. In the portrait of a man much is left out, and above all the essential thing, life: the "Being" of sensible things just such a shadow of True Being, an abstraction from that Being complete which was life in the Archetype; it is because of this incompleteness that we are able in the Sensible world to separate Being from life and life from Being.

Being, then, containing many species, has but one genus. Motion, however, is to be classed as neither a subordinate nor a supplement of Being but as its concomitant; for we have not found Being serving as substrate to Motion. Motion is being Act; neither is separated from the other except in thought; the two natures are one; for Being is inevitably actual, not potential.

No doubt we observe Motion and Being separately, Motion as contained in Being and Being as involved in Motion, and in the individual they may be mutually exclusive; but the dualism is an affirmation of our thought only, and that thought sees either form as a duality within a unity.

Now Motion, thus manifested in conjunction with Being, does not alter Being's nature- unless to complete its essential character- and it does retain for ever its own peculiar nature: at once, then, we are forced to introduce Stability. To reject Stability would be more unreasonable than to reject Motion; for Stability is associated in our thought and conception with Being even more than with Motion; unalterable condition, unchanging mode, single Reason-Principle- these are characteristics of the higher sphere.

Stability, then, may also be taken as a single genus. Obviously distinct from Motion and perhaps even its contrary, that it is also distinct from Being may be shown by many considerations. We may especially observe that if Stability were identical with Being, so also would Motion be, with equal right. Why identity in the case of Stability and not in that of Motion, when Motion is virtually the very life and Act both of Substance and of Absolute Being? However, on the very same principle on which we separated Motion from Being with the understanding that it is the same and not the same- that they are two and yet one- we also separate Stability from Being, holding it, yet, inseparable; it is only a logical separation entailing the inclusion among the Existents of this other genus. To identify Stability with Being, with no difference between them, and to identify Being with Motion, would be to identify Stability with Motion through the mediation of Being, and so to make Motion and Stability one and the same thing.

(18) These problems at any rate all serve to show that, while in general it is necessary to look for differences by which to separate things from each other, to hunt for differences of the differences themselves is both futile and irrational. We cannot have substances of substances, quantities of quantities, qualities of qualities, differences of differences; differences must, where possible, be found outside the genus, in creative powers and the like: but where no such criteria are present, as in distinguishing dark-green from pale-green, both being regarded as derived from white and black, what expedient may be suggested?

Sense-perception and intelligence may be trusted to indicate diversity but not to explain it: explanation is outside the province of sense-perception, whose function is merely to produce a variety of information; while, as for intelligence, it works exclusively with intuitions and never resorts to explanations to justify them; there is in the movements of intelligence a diversity which separates one object from another, making further differentiation unnecessary.

Do all qualities constitute differentiae, or not? Granted that whiteness and colours in general and the qualities dependent upon touch and taste can, even while they remain species , become differentiae of other things, how can grammar and music serve as differentiae? Perhaps in the sense that minds may be distinguished as grammatical and musical, especially if the qualities are innate, in which case they do become specific differentiae.

It remains to decide whether there can be any differentia derived from the genus to which the differentiated thing belongs, or whether it must of necessity belong to another genus? The former alternative would produce differentiae of things derived from the same genus as the differentiae themselves- for example, qualities of qualities. Virtue and vice are two states differing in quality: the states are qualities, and their differentiae qualities- unless indeed it be maintained that the state undifferentiated is not a quality, that the differentia creates the quality.

But consider the sweet as beneficial, the bitter as injurious: then bitter and sweet are distinguished, not by Quality, but by Relation. We might also be disposed to identify the sweet with the thick, and the Pungent with the thin: "thick" however hardly reveals the essence but merely the cause of sweetness- an argument which applies equally to pungency.

We must therefore reflect whether it may be taken as an invariable rule that Quality is never a differentia of Quality, any more than Substance is a differentia of Substance, or Quantity of Quantity.

Surely, it may be interposed, five differs from three by two. No: it exceeds it by two; we do not say that it differs: how could it differ by a "two" in the "three"? We may add that neither can Motion differ from Motion by Motion. There is, in short, no parallel in any of the other genera.

In the case of virtue and vice, whole must be compared with whole, and the differentiation conducted on this basis. As for the differentia being derived from the same genus as themselves, namely, Quality, and from no other genus, if we proceed on the principle that virtue is bound up with pleasure, vice with lust, virtue again with the acquisition of food, vice with idle extravagance, and accept these definitions as satisfactory, then clearly we have, here too, differentiae which are not qualities.

(17) This procedure, if approved, will entail a distinction between psychic and bodily qualities, the latter belonging specifically to body.

If we decide to refer all souls to the higher, we are still at liberty to perform for Sensible qualities a division founded upon the senses themselves- the eyes, the ears, touch, taste, smell; and if we are to look for further differences, colours may be subdivided according to varieties of vision, sounds according to varieties of hearing, and so with the other senses: sounds may also be classified qualitatively as sweet, harsh, soft.

Here a difficulty may be raised: we divide the varieties of Substance and their functions and activities, fair or foul or indeed of any kind whatsoever, on the basis of Quality, Quantity rarely, if ever, entering into the differences which produce species; Quantity, again, we divide in accordance with qualities of its own: how then are we to divide Quality itself into species? what differences are we to employ, and from what genus shall we take them? To take them from Quality itself would be no less absurd than setting up substances as differences of substances.

How, then, are we to distinguish black from white? how differentiate colours in general from tastes and tangible qualities? By the variety of sense-organs? Then there will be no difference in the objects themselves.

But, waiving this objection, how deal with qualities perceived by the same sense-organ? We may be told that some colours integrate, others disintegrate the vision, that some tastes integrate, others disintegrate the tongue: we reply that, first, it is the actual experiences that we are discussing and it is to these that the notions of integration and disintegration must be applied; secondly, a means of differentiating these experiences has not been offered.

It may be suggested that we divide them by their powers, and this suggestion is so far reasonable that we may well agree to divide the non-sensuous qualities, the sciences for example, on this basis; but we see no reason for resorting to their effects for the division of qualities sensuous. Even if we divide the sciences by their powers, founding our division of their processes upon the faculties of the mind, we can only grasp their differences in a rational manner if we look not only to their subject-matter but also to their Reason-Principles.

But, granted that we may divide the arts by their Reason-Principles and theorems, this method will hardly apply to embodied qualities. Even in the arts themselves an explanation would be required for the differences between the Reason-Principles themselves. Besides, we have no difficulty in seeing that white differs from black; to account for this difference is the purpose of our enquiry.

(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.

(10) In what sense is the particular manifestation of Being a unity? Clearly, in so far as it is one thing, it forfeits its unity; with "one" and "thing" we have already plurality. No species can be a unity in more than an equivocal sense: a species is a plurality, so that the "unity" here is that of an army or a chorus. The unity of the higher order does not belong to species; unity is, thus, ambiguous, not taking the same form in Being and in particular beings.

It follows that unity is not a genus. For a genus is such that wherever it is affirmed its opposites cannot also be affirmed; anything of which unity and its opposites are alike affirmed- and this implies the whole of Being- cannot have unity as a genus. Consequently unity can be affirmed as a genus neither of the primary genera- since the unity of Being is as much a plurality as a unity, and none of the other genera is a unity to the entire exclusion of plurality- nor of things posterior to Being, for these most certainly are a plurality. In fact, no genus with all its items can be a unity; so that unity to become a genus must forfeit its unity. The unit is prior to number; yet number it must be, if it is to be a genus.

Again, the unit is a unit from the point of view of number: if it is a unit generically, it will not be a unit in the strict sense.

Again, just as the unit, appearing in numbers, not regarded as a genus predicated of them, but is thought of as inherent in them, so also unity, though present in Being, cannot stand as genus to Being or to the other genera or to anything whatever.

Further, as the simplex must be the principle of the non-simplex, though not its genus- for then the non-simplex too would be simplex,- so it stands with unity; if unity is a Principle; it cannot be a genus to its subsequents, and therefore cannot be a genus of Being or of other things. If it is nevertheless to be a genus, everything of which it is a genus must be taken as a unit- a notion which implies the separation of unity from substance: it will not, therefore, be all-embracing. just as Being is not a genus of everything but only of species each of which is a being, so too unity will be a genus of species each of which is a unity. But that raises the question of what difference there is between one thing and another in so far as they are both units, corresponding to the difference between one being and another.

Unity, it may be suggested, is divided in its conjunction with Being and Substance; Being because it is so divided is considered a genus- the one genus manifested in many particulars; why then should not unity be similarly a genus, inasmuch as its manifestations are as many as those of Substance and it is divided into as many particulars?

In the first place, the mere fact that an entity inheres in many things is not enough to make it a genus of those things or of anything else: in a word, a common property need not be a genus. The point inherent in a line is not a genus of lines, or a genus at all; nor again, as we have observed, is the unity latent in numbers a genus either of the numbers or of anything else: genus demands that the common property of diverse objects involve also differences arising out of its own character, that it form species, and that it belong to the essence of the objects. But what differences can there be in unity? What species does it engender? If it produces the same species as we find in connection with Being, it must be identical with Being: only the name will differ, and the term Being may well suffice.

(3) We assert, then, a plurality of Existents, but a plurality not fortuitous and therefore a plurality deriving from a unity.

But even admitting this derivation from a unity- a unity however not predicated of them in respect of their essential being- there is, surely, no reason why each of these Existents, distinct in character from every other, should not in itself stand as a separate genus.

Is, then, this unity external to the genera thus produced, this unity which is their source though it cannot be predicated of them in respect of their essence? it is indeed external; the One is beyond; it cannot, therefore, be included among the geneANSWER: it is the source, while they stand side by side as genera. Yet surely the one must somehow be included ? No: it is the Existents we are investigating, not that which is beyond Existence.

We pass on, then, to consider that which is included, and find to our surprise the cause included with the things it causes: it is surely strange that causes and effects should be brought into the same genus.

But if the cause is included with its effects only in the sense in which a genus is included with its subordinates, the subordinates being of a different order, so that it cannot be predicated of them whether as their genus or in any other relation, these subordinates are obviously themselves genera with subordinates of their own: you may, for example, be the cause of the operation of walking, but the walking is not subordinate to you in the relation of species to genus; and if walking had nothing prior to it as its genus, but had posteriors, then it would be a genus and rank among the Existents.

Perhaps, however, it must be utterly denied that unity is even the cause of other things; they should be considered rather as its parts or elements- if the terms may be allowed,- their totality constituting a single entity which our thinking divides. All unity though it be, it goes by a wonderful power out into everything; it appears as many and becomes many when there is a motion; the fecundity of its nature causes the One to be no longer one, and we, displaying what we call its parts, consider them each as a unity and make them into "genera," unaware of our failure to see the whole at once. We display it, then, in parts, though, unable to restrain their natural tendency to coalesce, we bring these parts together again, resign them to the whole and allow them to become a unity, or rather to be a unity.

All this will become clearer in the light of further consideration- when, that is to say, we have ascertained the number of the genera; for thus we shall also discover their causes. It is not enough to deny; we must advance by dint of thought and comprehension. The way is clear:

(1) And yet the species of all genera are interblended with all genera; some which have previously been made, some which are made from these. The latter, then, which are being made,—either by Gods, or daimons, or by men,—are species all most closely like to their own several genera. For that it is impossible that bodies should be formed without the will of God; or species be configured without the help of daimons; or animals be taught and trained without the help of men.

(3) How then do we go to work?

Let us begin by distinguishing Matter, Form, the Mixture of both, and the Attributes of the Mixture. The Attributes may be subdivided into those which are mere predicates, and those serving also as accidents. The accidents may be either inclusive or included; they may, further, be classified as activities, experiences, consequents.

Matter will be found common to all substances, not however as a genus, since it has no differentiae- unless indeed differentiae be ascribed to it on the ground of its taking such various forms as fire and air.

It may be held that Matter is sufficiently constituted a genus by the fact that the things in which it appears hold it in common, or in that it presents itself as a whole of parts. In this sense Matter will indeed be a genus, though not in the accepted sense of the term. Matter, we may remark, is also a single element, if the element as such is able to constitute a genus.

Further, if to a Form be added the qualification "bound up with, involved in Matter," Matter separates that Form from other Forms: it does not however embrace the whole of Substantial Form .

We may, again, regard Form as the creator of Substance and make the Reason-Principle of Substance dependent upon Form: yet we do not come thereby to an understanding of the nature of Substance.

We may, also, restrict Substance to the Composite. Matter and Form then cease to be substances. If they are Substance equally with the Composite, it remains to enquire what there is common to all three.

The "mere predicates" fall under the category of Relation: such are cause and element. The accidents included in the composite substances ire found to be either Quality or Quantity; those which are inclusive are of the nature of Space and Time. Activities and experiences comprise Motions; consequents Space and Time, which are consequents respectively of the Composites and of Motion.

The first three entities go, as we have discovered, to make a single common genus, the Sensible counterpart of Substance. Then follow in order Relation, Quantity, Quality, Time-during-which, Place-in-which, Motion; though, with Time and Space already included , Time-during-which and Place-in-which become superfluous.

Thus we have five genera, counting the first three entities as one. If the first three are not massed into a unity, the series will be Matter, Form, Composite, Relation, Quantity, Quality, Motion. The last three may, again, be included in Relation, which is capable of bearing this wider extension.

(3) That also which is added by you, “ or of accidents ,” is foreign from these genera. For in composites, and things which exist together with, or in others, or are comprehended by others, some things are conceived to be precedaneous, but others consequent; and some as essences, but others, as afterwards acceding to essences. For there is a certain coarrangement of them, and incongruity and interval intervenes. But, in the more excellent genera, all things must be conceived in τῳ ειναι , i. e. in merely existing ; and wholes have a precedaneous subsistence, are separate by themselves, and have not their hypostasis from, or in others; so that there is not any thing in them which is accidental. Hence the peculiarity of them is not characterized from accidents.

(1) With respect to your inquiry, “ what the peculiarities are in each of the more excellent genera, by which they are separated from each other? ” if you understand by peculiarities the specific differences under the same genus, which are distinguished by opposite qualities, as the rational and irrational under animal; we by no means admit peculiarities of this kind, in things which neither have one common essence, nor an equal contradistinction, nor receive a composition from something common, which is indefinite, and defines the peculiarity. But if you apprehend the peculiarity to be, as in prior and secondary natures, differing in their whole essence and whole genus, a certain simple condition of being, definite in itself; in this case, your conception of peculiarities will be reasonable. For these peculiarities of things, which have an eternal subsistence, are simple, and entirely exempt. The inquiry, however, proceeds imperfectly. For it was necessary, in the first place, to inquire what the peculiarities are of the more excellent genera, according to essence; in the next place, what they are according to power; and thus afterwards, what they are according to energy.

(28) We have already indicated that Activity and Passivity are to be regarded as motions, and that it is possible to distinguish absolute motions, actions, passions.

As for the remaining so-called genera, we have shown that they are reducible to those which we have posited.

With regard to the relative, we have maintained that Relation belongs to one object as compared with another, that the two objects coexist simultaneously, and that Relation is found wherever a substance is in such a condition as to produce it; not that the substance is a relative, except in so far as it constitutes part of a whole- a hand, for example, or head or cause or principle or element.

We may also adopt the ancient division of relatives into creative principles, measures, excesses and deficiencies, and those which in general separate objects on the basis of similarities and differences.

Our investigation into the kinds of Being is now complete.