(1) You object, however, “ that he who hears words looks to their signification, so that it is sufficient the conception remains the same, whatever the words may be that are used .” But the thing is not such as you suspect it to be. For if names subsisted through compact it would be of no consequence whether some were used instead of others. But if they are suspended from the nature of things, those names which are more adapted to it will also be more dear to the Gods. From this, therefore, it is evident that the language of sacred nations is very reasonably preferred to that of other men. To which may be added, that names do not entirely preserve the same meaning when translated into another language; but there are certain idioms in each nation which cannot be signified by language to another nation. And, in the next place, though it should be possible to translate them, yet they no longer preserve the same power when translated. Barbarous names, likewise, have much emphasis, great conciseness, and participate of less ambiguity, variety, and multitude.

(1) But the inquiries which follow in the next place, require a more abundant doctrine, in order to their elucidation. At the same time, however, it is necessary to discuss the truth concerning them with brevity. For you inquire “ what efficacy there is in names that are not significant .” They are not, however, as you think, without signification; but let them be indeed unknown to us (though some of them are known to us, the explications of which we receive from the Gods), yet to the Gods all of them are significant, though not according to an effable mode; nor in such a way as that which is significant and indicative with men through imaginations; but either intellectually, conformably to the divine intellect which is in us; or ineffably, and in a way more excellent and simple, and conformably to the intellect which is united to the Gods. It is requisite, therefore, to take away all conceptions derived by an abstraction from sensibles, and all logical evolutions from divine names; and likewise the connascent physical similitudes of language to things which exist in nature. But the intellectual and divine symbolical character of divine similitude must be admitted to have a subsistence in names.

(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.

(93) "When the spirit of man seeth anything, then it giveth a name to that thing, according to the qualification or condition of the thing; but if it is to do this, then it must form or frame or put itself also into such a form, and generate itself also, with its tone, sound or articulation, just so as the thing to which it will give a name does generate or compose itself. Herein lies the kernel of the whole understanding of the Deity.

(1) Verily, this world is a triad — name, form, and work. Of these, as regards names, that which is called Speech is their hymn of praise (ttktha), for from it arise (ut-tha) all names. It is their Saman (chant), for it is the same (sama) as all names. It is their prayer (brahman)^ for it supports ( */bhar) all names.

(1) These same are what is known, what is to be known, and what is unknown. Whatever is known is a form of Speech, for Speech is known. Speech, having become this, helps him [L e. man].

(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.

(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.

(2) Our first observations must be directed to what passes in the Sensible realm for Substance. It is, we shall agree, only by analogy that the nature manifested in bodies is designated as Substance, and by no means because such terms as Substance or Being tally with the notion of bodies in flux; the proper term would be Becoming.

But Becoming is not a uniform nature; bodies comprise under the single head simples and composites, together with accidentals or consequents, these last themselves capable of separate classification.

Alternatively, Becoming may be divided into Matter and the Form imposed upon Matter. These may be regarded each as a separate genus, or else both may be brought under a single category and receive alike the name of Substance.

But what, we may ask, have Matter and Form in common? In what sense can Matter be conceived as a genus, and what will be its species? What is the differentia of Matter? In which genus, Matter or Form, are we to rank the composite of both? It may be this very composite which constitutes the Substance manifested in bodies, neither of the components by itself answering to the conception of Body: how, then, can we rank them in one and the same genus as the composite? How can the elements of a thing be brought within the same genus as the thing itself? Yet if we begin with bodies, our first-principles will be compounds.

Why not resort to analogy? Admitted that the classification of the Sensible cannot proceed along the identical lines marked out for the Intellectual: is there any reason why we should not for Intellectual-Being substitute Matter, and for Intellectual Motion substitute Sensible Form, which is in a sense the life and consummation of Matter? The inertia of Matter would correspond with Stability, while the Identity and Difference of the Intellectual would find their counterparts in the similarity and diversity which obtain in the Sensible realm.

But, in the first place, Matter does not possess or acquire Form as its life or its Act; Form enters it from without, and remains foreign to its nature. Secondly, Form in the Intellectual is an Act and a motion; in the Sensible Motion is different from Form and accidental to it: Form in relation to Matter approximates rather to Stability than to Motion; for by determining Matter's indetermination it confers upon it a sort of repose.

In the higher realm Identity and Difference presuppose a unity at once identical and different: a thing in the lower is different only by participation in Difference and in relation to some other thing; Identity and Difference are here predicated of the particular, which is not, as in that realm, a posterior.

As for Stability, how can it belong to Matter, which is distorted into every variety of mass, receiving its forms from without, and even with the aid of these forms incapable of offspring.

This mode of division must accordingly be abandoned.

(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.

(16) As for Relation, manifestly an offshoot, how can it be included among primaries? Relation is of thing ranged against thing; it is not self-pivoted, but looks outward.

Place and Date are still more remote from Being. Place denotes the presence of one entity within another, so that it involves a duality; but a genus must be a unity, not a composite. Besides, Place does not exist in the higher sphere, and the present discussion is concerned with the realm of True Being.

Whether time is There, remains to be considered. Apparently it has less claim than even Place. If it is a measurement, and that a measurement of Motion, we have two entities; the whole is a composite and posterior to Motion; therefore it is not on an equal footing with Motion in our classification.

Action and Passivity presuppose Motion; if, then, they exist in the higher sphere, they each involve a duality; neither is a simplex.

Possession is a duality, while Situation, as signifying one thing situated in another, is a threefold conception.

(6) everyday feelings, such as anger, pain, pleasure, or love. They are thought-concepts, and cannot be recognised by the senses; whereas quality, quantity, etc., are sense-concepts. Just as the ear cannot take cognizance of colour, nor the eye of sound, so, in conceiving of the ultimate realities, God and the soul, we find ourselves in a region in which sense-concepts can bear no part. So much, however, we can see, that, as God is Ruler of the universe, and, being Himself beyond space and time, quantity and quality, governs things that are so conditioned, so that soul rules the body and its members, being itself invisible, indivisible, and not located in any special part. For how can the indivisible be located in that which is divisible? From all this we see how true is the saying of the Prophet, "God created man in His own likeness."

(30) With regard to States:

It may seem strange that States should be set up as a third class- or whatever class it is- since all States are referable to Matter. We shall be told that there is a difference among States, and that a State as in Matter has definite characteristics distinguishing it from all other States and further that, whereas Qualities are States of Matter, States properly so-called belong to Qualities. But if Qualities are nothing but States of Matter, States are ultimately reducible to Matter, and under Matter they must be classed.

Further, how can States constitute a single genus, when there is such manifold diversity among them? How can we group together three yards long" and "white"- Quantity and Quality respectively? Or again Time and Place? How can "yesterday," "last year," "in the Lyceum," "in the Academy," be States at all? How can Time be in any sense a State? Neither is Time a State nor the events in Time, neither the objects in Space nor Space itself.

And how can Action be a State? One acting is not in a state of being but in a state of Action, or rather in Action simply: no state is involved. Similarly, what is predicated of the patient is not a state of being but a state of Passion, or strictly, Passion unqualified by state.

But it would seem that State was the right category at least for cases of Situation and Possession: yet Possession does not imply possession of some particular state, but is Possession absolute.

As for the Relative State, if the theory does not include it in the same genus as the other States, another question arises: we must enquire whether any actuality is attributed to this particular type of relation, for to many types actuality is denied.

It is, moreover, absurd that an entity which depends upon the prior existence of other entities should be classed in the same genus with those priors: one and two must, clearly, exist, before half and double can.

The various speculations on the subject of the Existents and the principles of the Existents, whether they have entailed an infinite or a finite number, bodily or bodiless, or even supposed the Composite to be the Authentic Existent, may well be considered separately with the help of the criticisms made by the ancients upon them.

(8) We cannot indeed escape positing these three, Being, Motion, Stability, once it is the fact that the Intellect discerns them as separates; and if it thinks of them at all, it posits them by that very thinking; if they are thought, they exist. Things whose existence is bound up with Matter have no being in the Intellect: these three principles are however free of Matter; and in that which goes free of Matter to be thought is to be.

We are in the presence of Intellect undefiled. Fix it firmly, but not with the eyes of the body. You are looking upon the hearth of Reality, within it a sleepless light: you see how it holds to itself, and how it puts apart things that were together, how it lives a life that endures and keeps a thought acting not upon any future but upon that which already is, upon an eternal present- a thought self-centred, bearing on nothing outside of itself.

Now in the Act of Intellect there are energy and motion; in its self-intellection Substance and Being. In virtue of its Being it thinks, and it thinks of itself as Being, and of that as Being, upon which it is, so to speak, pivoted. Not that its Act self-directed ranks as Substance, but Being stands as the goal and origin of that Act, the object of its contemplation though not the contemplation itself: and yet this Act too involves Being, which is its motive and its term. By the fact that its Being is actual and not merely potential, Intellect bridges the dualism and abjures separation: it identifies itself with Being and Being with itself.

Being, the most firmly set of all things, that in virtue of which all other things receive Stability, possesses this Stability not as from without but as springing within, as inherent. Stability is the goal of intellection, a Stability which had no beginning, and the state from which intellection was impelled was Stability, though Stability gave it no impulsion; for Motion neither starts from Motion nor ends in Motion. Again, the Form-Idea has Stability, since it is the goal of Intellect: intellection is the Form's Motion.

Thus all the Existents are one, at once Motion and Stability; Motion and Stability are genera all-pervading, and every subsequent is a particular being, a particular stability and a particular motion.

We have caught the radiance of Being, and beheld it in its three manifestations: Being, revealed by the Being within ourselves; the Motion of Being, revealed by the motion within ourselves; and its Stability revealed by ours. We accommodate our being, motion, stability to those , unable however to draw any distinction but finding ourselves in the presence of entities inseparable and, as it were, interfused. We have, however, in a sense, set them a little apart, holding them down and viewing them in isolation; and thus we have observed Being, Stability, Motion- these three, of which each is a unity to itself; in so doing, have we not regarded them as being different from each other? By this posing of three entities, each a unity, we have, surely, found Being to contain Difference.

Again, inasmuch as we restore them to an all-embracing unity, identifying all with unity, do we not see in this amalgamation Identity emerging as a Real Existent?

Thus, in addition to the other three , we are obliged to posit the further two, Identity and Difference, so that we have in all five genera. In so doing, we shall not withhold Identity and Difference from the subsequents of the Intellectual order; the thing of Sense has, it is clear, a particular identity and a particular difference, but Identity and Difference have the generic status independently of the particular.

They will, moreover, be primary genera, because nothing can be predicated of them as denoting their essential nature. Nothing, of course we mean, but Being; but this Being is not their genus, since they cannot be identified with any particular being as such. Similarly, Being will not stand as genus to Motion or Stability, for these also are not its species. Beings comprise not merely what are to be regarded as species of the genus Being, but also participants in Being. On the other hand, Being does not participate in the other four principles as its geneANSWER: they are not prior to Being; they do not even attain to its level.

(13) It cannot reasonably be thought that the notion of unity is derived from the object since this is physical- man, animal, even stone, a presentation of that order is something very different from unity ; if that presentation were unity, the mind could never affirm unity unless of that given thing, man, for example.

Then again, just as in the case of "On the right" or other such affirmation of relation, the mind does not affirm in some caprice but from observation of contrasted position, so here it affirms unity in virtue of perceiving something real; assuredly the assertion of unity is not a bare attitude towards something non-existent. It is not enough that a thing be alone and be itself and not something else: and that very "something else" tells of another unity. Besides Otherness and Difference are later; unless the mind has first rested upon unity it cannot affirm Otherness or Difference; when it affirms Aloneness it affirms unity-with-aloneness; thus unity is presupposed in Aloneness.

Besides, that in us which asserts unity of some object is first a unity, itself; and the object is a unity before any outside affirmation or conception.

A thing must be either one thing or more than one, manifold: and if there is to be a manifold there must be a precedent unity. To talk of a manifold is to talk of what has something added to unity; to think of an army is to think of a multitude under arms and brought to unity. In refusing to allow the manifold to remain manifold, the mind makes the truth clear; it draws a separate many into one, either supplying a unity not present or keen to perceive the unity brought about by the ordering of the parts; in an army, even, the unity is not a fiction but as real as that of a building erected from many stones, though of course the unity of the house is more compact.

If, then, unity is more pronounced in the continuous, and more again where there is no separation by part, this is clearly because there exists, in real existence, something which is a Nature or Principle of Unity. There cannot be a greater and less in the non-existent: as we predicate Substance of everything in sense, but predicate it also of the Intellectual order and more strictly there- since we hold that the greater and more sovereign substantiality belongs to the Real Beings and that Being is more marked in Substance, even sensible Substance, than in the other Kinds- so, finding unity to exhibit degree of more and less, differing in sense-things as well as in the Intellectual, we must similarly admit that Unity exists under all forms though still by reference, only, to that primal Unity.

As Substance and Real Being, despite the participation of the sensible, are still of the Intellectual and not the sensible order, so too the unity observed present in things of sense by participation remains still an Intellectual and to be grasped by an Intellectual Act. The mind, from a thing present to it, comes to knowledge of something else, a thing not presented; that is, it has a prior knowledge. By this prior knowledge it recognises Being in a particular being; similarly when a thing is one it can affirm unity as it can affirm also duality and multiplicity.

It is impossible to name or conceive anything not making one or two or some number; equally impossible that the thing should not exist without which nothing can possibly be named or conceived; impossible to deny the reality of that whose existence is a necessary condition of naming or affirming anything; what is a first need, universally, to the formation of every concept and every proposition must exist before reasoning and thinking; only as an existent can it be cited to account for the stirring of thought. If Unity is necessary to the substantial existence of all that really is- and nothing exists which is not one- Unity must precede Reality and be its author. It is therefore, an existent Unity, not an existent that develops Unity; considered as Being-with-Unity it would be a manifold, whereas in the pure Unity there is no Being save in so far as Unity attends to producing it. As regards the word "This," it is nat a bare word; it affirms an indicated existence without using the name, it tells of a certain presence, whether a substance or some other existent; any This must be significant; it is no attitude of the mind applying itself to a non-existent; the This shows a thing present, as much as if we used the strict name of the object.

(8) But we are digressing: we must resume our enquiry into the cause of dissimilarity among relations. Yet we must first be informed what reality, common to all cases, is possessed by this Existence derived from mutual conditions.

Now the common principle in question cannot be a body. The only alternative is that, if it does exist, it be something bodiless, either in the objects thus brought together or outside of them.

Further, if Relation always takes the same form, the term is univocal ; if not, that is if it differs from case to case, the term is equivocal, and the same reality will not necessarily be implied by the mere use of the term Relation.

How then shall we distinguish relations? We may observe that some things have an inactive or dormant relation, with which their actuality is entirely simultaneous; others, combining power and function with their relation, have the relation in some mode always even though the mode be merely that of potentiality, but attain to actual being only in contact with their correlatives. Or perhaps all distinctions may be reduced to that between producer and product, where the product merely gives a name to the producer of its actuality: an example of this is the relation of father to son, though here both producer and product have a sort of actuality, which we call life.

Are we thus, then, to divide Relation, and thereby reject the notion of an identical common element in the different kinds of Relation, making it a universal rule that the relation takes a different character in either correlative? We must in this case recognise that in our distinction between productive and non-productive relations we are overlooking the equivocation involved in making the terms cover both action and passion, as though these two were one, and ignoring the fact that production takes a different form in the two correlatives. Take the case of equality, producing equals: nothing is equal without equality, nothing identical without identity. Greatness and smallness both entail a presence- the presence of greatness and smallness respectively. When we come to greater and smaller, the participants in these relations are greater and smaller only when greatness and smallness are actually observed in them.

(1) I gave the Perfect Sermon (Logos) yesterday, Asclepius; today I think it right, as sequel thereunto, to go through point by point the Sermon about Sense. Now sense and thought do seem to differ, in that the former has to do with matter, the latter has to do with substance. But unto me both seem to be at-one and not to differ - in men I mean. In other lives sense is at-oned with Nature, but in men thought. Now mind doth differ just as much from thought as God doth from divinity. For that divinity by God doth come to be, and by mind thought, the sister of the word (logos) and instruments of one another. For neither doth the word (logos) find utterance without thought, nor is thought manifested without word.

(4) We are told that number is Quantity in the primary sense, number together with all continuous magnitude, space and time: these are the standards to which all else that is considered as Quantity is referred, including motion which is Quantity because its time is quantitative- though perhaps, conversely, the time takes its continuity from the motion.

If it is maintained that the continuous is a Quantity by the fact of its continuity, then the discrete will not be a Quantity. If, on the contrary, the continuous possesses Quantity as an accident, what is there common to both continuous and discrete to make them quantities?

Suppose we concede that numbers are quantities: we are merely allowing them the name of quantity; the principle which gives them this name remains obscure.

On the other hand, line and surface and body are not called quantities; they are called magnitudes: they become known as quantities only when they are rated by number-two yards, three yards. Even the natural body becomes a quantity when measured, as does the space which it occupies; but this is quantity accidental, not quantity essential; what we seek to grasp is not accidental quantity but Quantity independent and essential, Quantity-Absolute. Three oxen is not a quantity; it is their number, the three, that is Quantity; for in three oxen we are dealing with two categories. So too with a line of a stated length, a surface of a given area; the area will be a quantity but not the surface, which only comes under that category when it constitutes a definite geometric figure.

Are we then to consider numbers, and numbers only, as constituting the category of Quantity? If we mean numbers in themselves, they are substances, for the very good reason that they exist independently. If we mean numbers displayed in the objects participant in number, the numbers which give the count of the objects- ten horses or ten oxen, and not ten units- then we have a paradoxical result: first, the numbers in themselves, it would appear, are substances but the numbers in objects are not; and secondly, the numbers inhere in the objects as measures , yet as standing outside the objects they have no measuring power, as do rulers and scales. If however their existence is independent, and they do not inhere in the objects, but are simply called in for the purpose of measurement, the objects will be quantities only to the extent of participating in Quantity.

So with the numbers themselves: how can they constitute the category of Quantity? They are measures; but how do measures come to be quantities or Quantity? Doubtless in that, existing as they do among the Existents and not being adapted to any of the other categories, they find their place under the influence of verbal suggestion and so are referred to the so-called category of Quantity. We see the unit mark off one measurement and then proceed to another; and number thus reveals the amount of a thing, and the mind measures by availing itself of the total figure.

It follows that in measuring it is not measuring essence; it pronounces its "one" or "two," whatever the character of the objects, even summing contraries. It does not take count of condition- hot, handsome; it simply notes how many.

Number then, whether regarded in itself or in the participant objects, belongs to the category of Quantity, but the participant objects do not. "Three yards long" does not fall under the category of Quantity, but only the three.

Why then are magnitudes classed as quantities? Not because they are so in the strict sense, but because they approximate to Quantity, and because objects in which magnitudes inhere are themselves designated as quantities. We call a thing great or small from its participation in a high number or a low. True, greatness and smallness are not claimed to be quantities, but relations: but it is by their apparent possession of quantity that they are thought of as relations. All this, however, needs more careful examination.

In sum, we hold that there is no single genus of Quantity. Only number is Quantity, the rest quantities only in a secondary degree. We have therefore not strictly one genus, but one category grouping the approximate with the primary and the secondary.

We have however to enquire in what sense the abstract numbers are substances. Can it be that they are also in a manner quantitative? Into whatever category they fall, the other numbers can have nothing in common with them but the name. 5. Speech, time, motion- in what sense are these quantities?

Let us begin with speech. It is subject to measurement, but only in so far as it is sound; it is not a quantity in its essential nature, which nature is that it be significant, as noun and verb are significant. The air is its Matter, as it is Matter to verb and noun, the components of speech.

To be more precise, we may define speech as an impact , though it is not so much the impact as the impression which the impact produces and which, as it were, imposes Form . Speech, thus, is rather an action than a quantity- an action with a significance. Though perhaps it would be truer to say that while this motion, this impact, is an action, the counter-motion is an experience ; or each may be from different points of view either an action or an experience: or we may think of speech as action upon a substrate and experience within that substrate.

If however voice is not characteristically impact, but is simply air, two categories will be involved: voice is significant, and the one category will not be sufficient to account for this significance without associating with a second.

With regard to time, if it is to be thought of as a measure, we must determine what it is that applies this measure. It must clearly be either Soul or the Present Moment. If on the contrary we take time to be something measured and regard it as being of such and such extension- a year, for example- then we may consider it as a quantity: essentially however time is of a different nature; the very fact that we can attribute this or that length to it shows us that it is not length: in other words, time is not Quantity. Quantity in the strict sense is the Quantity not inbound with things; if things became quantities by mere participation in Quantity, then Substance itself would be identical with Quantity.

Equality and inequality must be regarded as properties of Quantity-Absolute, not of the participants, or of them not essentially but only accidentally: such participants as "three yards' length," which becomes a quantity, not as belonging to a single genus of Quantity, but by being subsumed under the one head, the one category.

(9) It follows that in the cases specified above- agent, knowledge and the rest- the relation must be considered as in actual operation, and the Act and the Reason-Principle in the Act must be assumed to be real: in all other cases there will be simply participation in an Ideal-Form, in a Reason-Principle.

If Reality implied embodiment, we should indeed be forced to deny Reality to these conditions called relative; if however we accord the pre-eminent place to the unembodied and to the Reason-Principles, and at the same time maintain that relations are Reason-Principles and participate in Ideal-Forms, we are bound to seek their causes in that higher sphere. Doubleness, it is clear, is the cause of a thing being double, and from it is derived halfness.

Some correlatives owe their designations to the same Form, others to opposite Forms; it is thus that two objects are simultaneously double and half of each other, and one great and the other small. It may happen that both correlatives exist in one object-likeness and unlikeness, and, in general, identity and difference, so that the same thing will be at once like and unlike, identical and different.

The question arises here whether sharing in the same Form could make one man depraved and another more depraved. In the case of total depravity, clearly the two are made equal by the absence of a Form. Where there is a difference of degree, the one has participated in a Form which has failed to predominate, the other in a Form which has failed still more: or, if we choose the negative aspect, we may think of them both as failing to participate in a Form which naturally belonged to them.

Sensation may be regarded as a Form of double origin ; and similarly with knowledge.

Habit is an Act directed upon something had and binding it as it were with the subject having , as the Act of production binds producer and product.

Measurement is an Act of the measurer upon the measured object: it too is therefore a kind of Reason-Principle.

Now if the condition of being related is regarded as a Form having a generic unity, Relation must be allowed to be a single genus owing its reality to a Reason-Principle involved in all instances. If however the Reason-Principles stand opposed and have the differences to which we have referred, there may perhaps not be a single genus, but this will not prevent all relatives being expressed in terms of a certain likeness and falling under a single category.

But even if the cases of which we have spoken can be subsumed under a single head, it is nevertheless impossible to include in a single genus all that goes with them in the one common category: for the category includes negations and derivatives- not only, for example, double but also its negative, the resultant doubleness and the act of doubling. But we cannot include in one genus both the thing and its negative- double and not-double, relative and not-relative- any more than in dealing with the genus animal we can insert in it the nonanimal. Moreover, doubleness and doubling have only the relation to double that whiteness has to white; they cannot be classed as identical with it.

(29) Qualities must be for this school distinct from Substrates. This in fact they acknowledge by counting them as the second category. If then they form a distinct category, they must be simplex; that is to say they are not composite; that is to say that as qualities, pure and simple, they are devoid of Matter: hence they are bodiless and active, since Matter is their substrate- a relation of passivity.

If however they hold Qualities to be composite, that is a strange classification which first contrasts simple and composite qualities, then proceeds to include them in one genus, and finally includes one of the two species in the other ; it is like dividing knowledge into two species, the first comprising grammatical knowledge, the second made up of grammatical and other knowledge.

Again, if they identify Qualities with qualifications of Matter, then in the first place even their Seminal Principles will be material and will not have to reside in Matter to produce a composite, but prior to the composite thus produced they will themselves be composed of Matter and Form: in other words, they will not be Forms or Principles. Further, if they maintain that the Seminal Principles are nothing but Matter in a certain state, they evidently identify Qualities with States, and should accordingly classify them in their fourth genus. If this is a state of some peculiar kind, what precisely is its differentia? Clearly the state by its association with Matter receives an accession of Reality: yet if that means that when divorced from Matter it is not a Reality, how can State be treated as a single genus or species? Certainly one genus cannot embrace the Existent and the Non-existent.

And what is this state implanted in Matter? It is either real, or unreal: if real, absolutely bodiless: if unreal, it is introduced to no purpose; Matter is all there is; Quality therefore is nothing. The same is true of State, for that is even more unreal; the alleged Fourth Category more so.

Matter then is the sole Reality. But how do we come to know this? Certainly not from Matter itself. How, then? From Intellect? But Intellect is merely a state of Matter, and even the "state" is an empty qualification. We are left after all with Matter alone competent to make these assertions, to fathom these problems. And if its assertions were intelligent, we must wonder how it thinks and performs the functions of Soul without possessing either Intellect or Soul. If, then, it were to make foolish assertions, affirming itself to be what it is not and cannot be, to what should we ascribe this folly? Doubtless to Matter, if it was in truth Matter that spoke. But Matter does not speak; anyone who says that it does proclaims the predominance of Matter in himself; he may have a soul, but he is utterly devoid of Intellect, and lives in ignorance of himself and of the faculty alone capable of uttering the truth in these things.