(5) Herein lies its greatness, not in mass; mass is limited and may be whittled down to nothingness; in that order no such paring off is possible- nor, if it were, could there be any falling short. Where limitation is unthinkable, what fear can there be of absence at any point? Nowhere can that principle fail which is the unfailing, the everlasting, the undwindling; suppose it in flux and it must at some time flow to its end; since it is not in flux- and, besides , it has nowhere to flow to- it lies spread over the universe; in fact it is the universe, too great to be held by body, giving, therefore, to the material universe but little of itself, the little which that participant can take.

We may not make this principle the lesser, or if in the sense of mass we do, we must not begin to mistrust the power of that less to stretch to the greater. Of course, we have in fact no right to affirm it less or to measure the thing of magnitude against that which has none; as well talk of a doctor's skill being smaller than his body. This greatness is not to be thought of in terms of quantity; the greater and less of body have nothing to do with soul.

The nature of the greatness of soul is indicated by the fact that as the body grows, the larger mass is held by the same soul that sufficed to the smaller; it would be in many ways absurd to suppose a corresponding enlargement in the soul.

(11) Passing to Quantity and the quantum, we have to consider the view which identifies them with number and magnitude on the ground that everything quantitative is numbered among Sensible things or rated by the extension of its substrate: we are here, of course, discussing not Quantity in isolation, but that which causes a piece of wood to be three yards long and gives the five in "five horses,"

Now we have often maintained that number and magnitude are to be regarded as the only true quantities, and that Space and Time have no right to be conceived as quantitative: Time as the measure of Motion should be assigned to Relation, while Space, being that which circumscribes Body, is also a relative and falls under the same category; though continuous, it is, like Motion, not included in Quantity.

On the other hand, why do we not find in the category of Quantity "great" and "small"? It is some kind of Quantity which gives greatness to the great; greatness is not a relative, though greater and smaller are relatives, since these, like doubleness, imply an external correlative.

What is it, then, which makes a mountain small and a grain of millet large? Surely, in the first place, "small" is equivalent to "smaller." It is admitted that the term is applied only to things of the same kind, and from this admission we may infer that the mountain is "smaller" rather than "small," and that the grain of millet is not large in any absolute sense but large for a grain of millet. In other words, since the comparison is between things of the same kind, the natural predicate would be a comparative.

Again, why is not beauty classed as a relative? Beauty, unlike greatness, we regard as absolute and as a quality; "more beautiful" is the relative. Yet even the term "beautiful" may be attached to something which in a given relation may appear ugly: the beauty of man, for example, is ugliness when compared with that of the gods; "the most beautiful of monkeys," we may quote, "is ugly in comparison with any other type." Nonetheless, a thing is beautiful in itself; as related to something else it is either more or less beautiful.

Similarly, an object is great in itself, and its greatness is due, not to any external, but to its own participation in the Absolute Great.

Are we actually to eliminate the beautiful on the pretext that there is a more beautiful? No more then must we eliminate the great because of the greater: the greater can obviously have no existence whatever apart from the great, just as the more beautiful can have no existence without the beautiful.

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

(9) But how can we conceive a thing having existence without having magnitude?

We have only to think of things whose identity does not depend on their quantity- for certainly magnitude can be distinguished from existence as can many other forms and attributes.

In a word, every unembodied Kind must be classed as without quantity, and Matter is unembodied.

Besides quantitativeness itself does not possess quantity, which belongs only to things participating in it, a consideration which shows that Quantitativeness is an Idea-Principle. A white object becomes white by the presence of whiteness; what makes an organism white or of any other variety of colour is not itself a specific colour but, so to speak, a specific Reason-Principle: in the same way what gives an organism a certain bulk is not itself a thing of magnitude but is Magnitude itself, the abstract Absolute, or the Reason-Principle.

This Magnitude-Absolute, then, enters and beats the Matter out into Magnitude?

Not at all: the Matter was not previously shrunken small: there was no littleness or bigness: the Idea gives Magnitude exactly as it gives every quality not previously present.

(16) An Ideal-Principle approaches and leads Matter towards some desired dimension, investing this non-existent underlie with a magnitude from itself which never becomes incorporate- for Matter, if it really incorporated magnitude, would be a mass.

Eliminate this Ideal-Form and the substratum ceases to be a thing of magnitude, or to appear so: the mass produced by the Idea was, let us suppose, a man or a horse; the horse-magnitude came upon the Matter when a horse was produced upon it; when the horse ceases to exist upon the Matter, the magnitude of the horse departs also. If we are told that the horse implies a certain determined bulk and that this bulk is a permanent thing, we answer that what is permanent in this case is not the magnitude of the horse but the magnitude of mass in general. That same Magnitude might be fire or earth; on their disappearance their particular magnitudes would disappear with them. Matter, then, can never take to itself either pattern or magnitude; if it did, it would no longer be able to turn from being fire, let us say, into being something else; it would become and be fire once for all.

In a word, though Matter is far extended- so vastly as to appear co-extensive with all this sense-known Universe- yet if the Heavens and their content came to an end, all magnitude would simultaneously pass from Matter with, beyond a doubt, all its other properties; it would be abandoned to its own Kind, retaining nothing of all that which, in its own peculiar mode, it had hitherto exhibited.

Where an entrant force can effect modification it will inevitably leave some trace upon its withdrawal; but where there can be no modification, nothing can be retained; light comes and goes, and the air is as it always was.

That a thing essentially devoid of magnitude should come to a certain size is no more astonishing than that a thing essentially devoid of heat should become warm: Matter's essential existence is quite separate from its existing in bulk, since, of course, magnitude is an immaterial principle as pattern is. Besides, if we are not to reduce Matter to nothing, it must be all things by way of participation, and Magnitude is one of those all things.

In bodies, necessarily compounds, Magnitude though not a determined Magnitude must be present as one of the constituents; it is implied in the very notion of body; but Matter- not a Body- excludes even undetermined Magnitude.

(17) But what of the Infinite Number we hear of; does not all this reasoning set it under limit?

And rightly so if the thing is to be a number; limitlessness and number are in contradiction.

How, then, do we come to use the term? Is it that we think of Number as we think of an infinite line, not with the idea that any such lire exists but that even the very greatest- that of the universe, for example- may be thought of as still greater? So it might be with number; let it be fixed, yet we still are free to think of its double, though not of course to produce the doubled quantity since it is impossible to join to the actual what is no more than a conception, a phantasm, private to ourselves.

It is our view that there does exist an infinite line, among the Intellectual Beings: for There a line would not be quantitative and being without quantity could be numerically infinite. This however would be in another mode than that of limitless extension. In what mode then? In that the conception of the Absolute Line does not include the conception of limit.

But what sort of thing is the Line in the Intellectual and what place does it hold?

It is later than Number since unity is observed in it; it rises at one point and traverses one course and simply lacks the quantity that would be the measure of the distance.

But where does this thing lie? Is it existent only in the defining thought, so to speak?

No; it is also a thing, though a thing of the Intellectual. All that belongs to that order is at once an Intellectual and in some degree the concrete thing. There is a position, as well as a manner of being, for all configurations, for surface, for solid. And certainly the configurations are not of our devising; for example, the configurations of the universe are obviously antecedent to ourselves; so it must be with all the configurations of the things of nature; before the bodily reproductions all must exist There, without configuration, primal configurations. For these primals are not shapes in something; self-belonging, they are perfect without extension; only the extended needs the external. In the sphere of Real-Being the configuration is always a unity; it becomes discrete either in the Living-Form or immediately before: I say "becomes discrete" not in the sense that it takes magnitude There but that it is broken apart for the purpose of the Living-Form and is allotted to the bodies within that Form- for instance, to Fire There, the Intellectual Pyramid. And because the Ideal-Form is There, the fire of this sphere seeks to produce that configuration against the check of Matter: and so of all the rest as we read in the account of the realm of sense.

But does the Life-Form contain the configurations by the mere fact of its life?

They are in the Intellectual-Principle previously but they also exist in the Living-Form; if this be considered as including the Intellectual-Principle, then they are primally in the Life-Form, but if that Principle comes first then they are previously in that. And if the Life-Form entire contains also souls, it must certainly be subsequent to the Intellectual-Principle.

No doubt there is the passage "Whatever Intellect sees in the entire Life-Form"; thus seeing, must not the Intellectual-Principle be the later?

No; the seeing may imply merely that the reality comes into being by the fact of that seeing; the Intellectual-Principle is not external to the Life-Form; all is one; the Act of the Intellectual-Principle possesses itself of bare sphere, while the Life-Form holds the sphere as sphere of a living total.

(6) Moreover, as Infinite Space is invisible and beyond the other senses, it cannot be "known" or cognized as a Thing. Thought regarding it must always report "not this; not that" regarding it; and it answers to the ancient sage's statement of Reality that: "The Essence of Being is without attributes, formless, devoid of distinctions, and unconditioned. It is different from that which we know, and from that which we do not know. Words and thought turn from it without finding it. The wise answer only by silence all questions concerning its nature. To all suggestions concerning its qualities, properties, and attributes, the wise simply answer: 'neti, neti'—'not this, not that!' Of THAT the wise assert simply 'It IS.'" And as other ancient sages have said: "The imagination, the understanding, and abstract thinking will always strive in vain to represent the Infinite; for no form of finiteness (to which thought and speech also belong) can express the Infinite; nor can that which was timed express the Timeless and Eternal; nor can thought resultant from the chain of causation grasp the Causeless or Self-Existent." So, in every way, and from every angle of view, we discover that the concept of Infinite Space is a noble and worthy symbol of THAT which we mean when we try to think of the Infinite Unmanifest—of the Essence of Being before Manifestation into Activity and Form.

(11) "But, given Magnitude and the properties we know, what else can be necessary to the existence of body?"

Some base to be the container of all the rest.

"A certain mass then; and if mass, then Magnitude? Obviously if your Base has no Magnitude it offers no footing to any entrant. And suppose it sizeless; then, what end does it serve? It never helped Idea or quality; now it ceases to account for differentiation or for magnitude, though the last, wheresoever it resides, seems to find its way into embodied entities by way of Matter."

"Or, taking a larger view, observe that actions, productive operations, periods of time, movements, none of these have any such substratum and yet are real things; in the same way the most elementary body has no need of Matter; things may be, all, what they are, each after its own kind, in their great variety, deriving the coherence of their being from the blending of the various Ideal-Forms. This Matter with its sizelessness seems, then, to be a name without a content."

Now, to begin with: extension is not an imperative condition of being a recipient; it is necessary only where it happens to be a property inherent to the recipient's peculiar mode of being. The Soul, for example, contains all things but holds them all in an unextended unity; if magnitude were one of its attributes it would contain things in extension. Matter does actually contain in spatial extension what it takes in; but this is because itself is a potential recipient of spatial extension: animals and plants, in the same way, as they increase in size, take quality in parallel development with quantity, and they lose in the one as the other lessens.

No doubt in the case of things as we know them there is a certain mass lying ready beforehand to the shaping power: but that is no reason for expecting bulk in Matter strictly so called; for in such cases Matter is not the absolute; it is that of some definite object; the Absolute Matter must take its magnitude, as every other property, from outside itself.

A thing then need not have magnitude in order to receive form: it may receive mass with everything else that comes to it at the moment of becoming what it is to be: a phantasm of mass is enough, a primary aptness for extension, a magnitude of no content- whence the identification that has been made of Matter with The Void.

But I prefer to use the word phantasm as hinting the indefiniteness into which the Soul spills itself when it seeks to communicate with Matter, finding no possibility of delimiting it, neither encompassing it nor able to penetrate to any fixed point of it, either of which achievements would be an act of delimitation.

In other words, we have something which is to be described not as small or great but as the great-and-small: for it is at once a mass and a thing without magnitude, in the sense that it is the Matter on which Mass is based and that, as it changes from great to small and small to great, it traverses magnitude. Its very undeterminateness is a mass in the same sense that of being a recipient of Magnitude- though of course only in the visible object.

In the order of things without Mass, all that is Ideal-Principle possesses delimitation, each entity for itself, so that the conception of Mass has no place in them: Matter, not delimited, having in its own nature no stability, swept into any or every form by turns, ready to go here, there and everywhere, becomes a thing of multiplicity: driven into all shapes, becoming all things, it has that much of the character of mass.

(10) But how can I form the conception of the sizelessness of Matter?

How do you form the concept of any absence of quality? What is the Act of the Intellect, what is the mental approach, in such a case?

The secret is Indetermination.

Likeness knows its like: the indeterminate knows the indeterminate. Around this indefinite a definite conception will be realized, but the way lies through indefiniteness.

All knowledge comes by Reason and the Intellectual Act; in this case Reason conveys information in any account it gives, but the act which aims at being intellectual is, here, not intellection but rather its failure: therefore the representation of Matter must be spurious, unreal, something sprung of the Alien, of the unreal, and bound up with the alien reason.

This is Plato's meaning where he says that Matter is apprehended by a sort of spurious reasoning.

What, then, is this indetermination in the Soul? Does it amount to an utter absence of Knowledge, as if the Soul or Mind had withdrawn?

No: the indeterminate has some footing in the sphere of affirmation. The eye is aware of darkness as a base capable of receiving any colour not yet seen against it: so the Mind, putting aside all attributes perceptible to sense- all that corresponds to light- comes upon a residuum which it cannot bring under determination: it is thus in the state of the eye which, when directed towards darkness, has become in some way identical with the object of its spurious vision.

There is vision, then, in this approach of the Mind towards Matter?

Some vision, yes; of shapelessness, of colourlessness, of the unlit, and therefore of the sizeless. More than this would mean that the Soul is already bestowing Form.

But is not such a void precisely what the Soul experiences when it has no intellection whatever?

No: in that case it affirms nothing, or rather has no experience: but in knowing Matter, it has an experience, what may be described as the impact of the shapeless; for in its very consciousness of objects that have taken shape and size it knows them as compounds for they appear as things that have accepted colour and other quality.

It knows, therefore, a whole which includes two components; it has a clear Knowledge or perception of the overlie but only a dim awareness of the underlie, the shapeless which is not an Ideal-Principle.

With what is perceptible to it there is presented something else: what it can directly apprehend it sets on one side as its own; but the something else which Reason rejects, this, the dim, it knows dimly, this, the dark, it knows darkly, this it knows in a sort of non-knowing.

And just as even Matter itself is not stably shapeless but, in things, is always shaped, the Soul also is eager to throw over it the thing-form; for the Soul recoils from the indefinite, dreads, almost, to be outside of reality, does not endure to linger about Non-Being.

(27) Edgar Allen Poe has well said of the thought and concept of "The Infinite," and similar efforts of the human mind to think of the unthinkable: "This merest of words, and some other expressions of which the equivalents exist in nearly all languages, is by no means the expression of an idea, but of an effort of one. It stands for the possible attempt at an impossible conception. Man needed a term by which to point out the direction of this effort—the cloud behind which lay, forever invisible, the object of this attempt. A word, in fine, was demanded by means of which one human being might put himself in relation at once with another human being and with a certain tendency of the human intellect. Out of this arose this term, which is thus the representative but of the thought of a thought . * * The fact is that, upon the enunciation of any one of that class of terms to which this belongs,—the class representing thoughts of thought , he who has a right to say that he thinks at all feels himself called upon not to entertain a conception, but simply to direct his mental vision toward some given point in the intellectual firmament where lies a nebula never to be solved. To solve it, indeed, he makes no effort, for with a rapid instinct he comprehends, not only the impossibility, but as regards all human purposes, the inessentiality of its solution. He sees at once how it lies out of the brain of man, and even how , if not exactly why , it lies out of it." In the Secret Doctrine of the Rosicrucians, therefore, there is no attempt made to define the Essence of the Eternal Parent—in fact, it is held, in the spirit of Spinoza's celebrated aphorism, that "To define The Infinite is to deny The Infinite." In refusing to ascribe the finite qualities, properties, and attributes of Personality to the Eternal Parent, the Rosicrucians do not mean to imply that The Infinite Reality is below the plane of Personality, but rather that it is so immeasurably above that plane, and so infinitely transcends all Personality, that it is childish to think or speak of it in the terms of Personality.

(3) But little, i.e. fine, is affirmed respecting Him,--that which leaves behind every mass and distance, and penetrates through all, without hindrance. Yet the little is Elemental Cause of all, for nowhere will you find the idea of the little unparticipated. Thus then the little must be received as regards God as penetrating to all, and through all, without impediment; and operating, and piercing through, to "a dividing of soul and spirit, and joints and marrow"; and "discerning thoughts and intents of heart," yea rather--all things that be. For there is not a creature unmanifest in His sight. This littleness is without quality and without quantity, without restraint, without limit, without bound, comprehending all things, but itself incomprehensible.

(1) Seen from a distance, objects appear reduced and close together, however far apart they be: within easy range, their sizes and the distances that separate them are observed correctly.

Distant objects show in this reduction because they must be drawn together for vision and the light must be concentrated to suit the size of the pupil; besides, as we are placed farther and farther away from the material mass under observation, it is more and more the bare form that reaches us, stripped, so to speak, of magnitude as of all other quality.

Or it may be that we appreciate the magnitude of an object by observing the salience and recession of its several parts, so that to perceive its true size we must have it close at hand.

Or again, it may be that magnitude is known incidentally from the observation of colour. With an object at hand we know how much space is covered by the colour; at a distance, only that something is coloured, for the parts, quantitatively distinct among themselves, do not give us the precise knowledge of that quantity, the colours themselves reaching us only in a blurred impression.

What wonder, then, if size be like sound- reduced when the form reaches us but faintly- for in sound the hearing is concerned only about the form; magnitude is not discerned except incidentally.

Well, in hearing magnitude is known incidentally; but how? Touch conveys a direct impression of a visible object; what gives us the same direct impression of an object of hearing?

The magnitude of a sound is known not by actual quantity but by degree of impact, by intensity- and this in no indirect knowledge; the ear appreciates a certain degree of force, exactly as the palate perceives by no indirect knowledge, a certain degree of sweetness. But the true magnitude of a sound is its extension; this the hearing may define to itself incidentally by deduction from the degree of intensity but not to the point of precision. The intensity is merely the definite effect at a particular spot; the magnitude is a matter of totality, the sum of space occupied.

Still the colours seen from a distance are faint; but they are not small as the masses are.

True; but there is the common fact of diminution. There is colour with its diminution, faintness; there is magnitude with its diminution, smallness; and magnitude follows colour diminishing stage by stage with it.

But, the phenomenon is more easily explained by the example of things of wide variety. Take mountains dotted with houses, woods and other land-marks; the observation of each detail gives us the means of calculating, by the single objects noted, the total extent covered: but, where no such detail of form reaches us, our vision, which deals with detail, has not the means towards the knowledge of the whole by measurement of any one clearly discerned magnitude. This applies even to objects of vision close at hand: where there is variety and the eye sweeps over all at one glance so that the forms are not all caught, the total appears the less in proportion to the detail which has escaped the eye; observe each single point and then you can estimate the volume precisely. Again, magnitudes of one colour and unbroken form trick the sense of quantity: the vision can no longer estimate by the particular; it slips away, not finding the stand-by of the difference between part and part.

It was the detail that prevented a near object deceiving our sense of magnitude: in the case of the distant object, because the eye does not pass stage by stage through the stretch of intervening space so as to note its forms, therefore it cannot report the magnitude of that space.

(4) And then that becomes greater which comprehends and knows than that which is comprehended and known. But if it descends to its nature it is less, for the incorporeal natures have not associated with any magnitude; thus endowed, they are everywhere and they are nowhere, since they are greater than every magnitude and less than every exiguity."

(3) And there is the question How can the infinite have existence and remain unlimited: whatever is in actual existence is by that very fact determined numerically.

But, first, if multiplicity holds a true place among Beings, how can it be an evil?

As existent it possesses unity; it is a unit-multiple, saved from stark multiplicity; but it is of a lessened unity and, by that inwoven multiplicity, it is evil in comparison with unity pure. No longer steadfast in that nature, but fallen, it is the less, while in virtue of the unity thence retained it keeps some value; multiplicity has value in so far as it tends to return to, unity.

But how explain the unlimited? It would seem that either it is among beings and so is limited or, if unlimited, is not among beings but, at best, among things of process such as Time. To be brought to limit it must be unlimited; not the limited but the unlimited is the subject of limitation, since between the limited and the unlimited there is no intermediate to accept the principle of limitation. The unlimited recoils by very nature from the Idea of limit, though it may be caught and held by it from without:- the recoil, of course, is not from one place to another; the limitless can have nothing to do with place which arises only with the limiting of the unlimited. Hence what is known as the flux of the unlimited is not to be understood as local change; nor does any other sort of recognisable motion belong to it in itself; therefore the limitless cannot move: neither can it be at rest: in what, since all place is later? Its movement means little more than that it is not fixed in rest.

Is it, then, suspended at some one point, or rocking to and fro?

No; any such poising, with or without side motion, could be known only by place .

How, then, are we to form any conception of its being?

We must fasten on the bare notion and take what that gives us- opposites that still are not opposed: we think of large and small and the unlimited becomes either, of stationary and moving, and it will be either of these. But primarily it can be neither in any defined degree, or at once it is under limit. Limitless in this unlimited and undefined way, it is able to appear as either of a pair of opposites: draw near, taking care to throw no net of limit over it, and you have something that slips away; you come upon no unity for so it would be defined; approach the thing as a unit, and you find it manifold; call it a manifold, and again you falsify, for when the single thing is not a unity neither is the total a manifold. In one manifestation it takes the appearance of movement, in another of rest, as the mind envisages it.

And there is movement in its lack of consciousness; it has passed out of Intellectual-Principle, slid away. That it cannot break free but is under compulsion from without to keep to its circling with no possibility of advance, in this would be its rest. Thus it is not true to speak of Matter as being solely in flux.

(12) It follows that we must allow contrariety to Quantity: whenever we speak of great and small, our notions acknowledge this contrariety by evolving opposite images, as also when we refer to many and few; indeed, "few" and "many" call for similar treatment to "small" and "great."

"Many," predicated of the inhabitants of a house, does duty for "more": "few" people are said to be in the theatre instead of "less."

"Many," again, necessarily involves a large numerical plurality. This plurality can scarcely be a relative; it is simply an expansion of number, its contrary being a contraction.

The same applies to the continuous , the notion of which entails prolongation to a distant point.

Quantity, then, appears whenever there is a progression from the unit or the point: if either progression comes to a rapid halt, we have respectively "few" and "small"; if it goes forward and does not quickly cease, "many" and "great."

What, we may be asked, is the limit of this progression? What, we retort, is the limit of beauty, or of heat? Whatever limit you impose, there is always a "hotter"; yet "hotter" is accounted a relative, "hot" a pure quality.

In sum, just as there is a Reason-Principle of Beauty, so there must be a Reason-Principle of greatness, participation in which makes a thing great, as the Principle of beauty makes it beautiful.

To judge from these instances, there is contrariety in Quantity. Place we may neglect as not strictly coming under the category of Quantity; if it were admitted, "above" could only be a contrary if there were something in the universe which was "below": as referring to the partial, the terms "above" and "below" are used in a purely relative sense, and must go with "right" and "left" into the category of Relation.

Syllable and discourse are only indirectly quantities or substrates of Quantity; it is voice that is quantitative: but voice is a kind of Motion; it must accordingly in any case be referred to Motion, as must activity also.

(11) It is infinite also by right of being a pure unity with nothing towards which to direct any partial content. Absolutely One, it has never known measure and stands outside of number, and so is under no limit either in regard to any extern or within itself; for any such determination would bring something of the dual into it. And having no constituent parts it accepts no pattern, forms no shape.

Reason recognising it as such a nature, you may not hope to see it with mortal eyes, nor in any way that would be imagined by those who make sense the test of reality and so annul the supremely real. For what passes for the most truly existent is most truly non-existent- the thing of extension least real of all- while this unseen First is the source and principle of Being and sovereign over Reality.

You must turn appearances about or you will be left void of God. You will be like those at the festivals who in their gluttony cram themselves with things which none going to the gods may touch; they hold these goods to be more real than the vision of the God who is to be honoured and they go away having had no share in the sanctities of the shrine.

In these celebrations of which we speak, the unseen god leaves those in doubt of his existence who think nothing patent but what may be known to the flesh: it happens as if a man slept a life through and took the dream world in perfect trust; wake him, and he would refuse belief to the report of his open eyes and settle down to sleep again.

(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.

(1) Now on the subject of a “Void,” —which seems to almost all a thing of vast importance,—I hold the following view. Naught is, naught could have been, naught ever will be void. For all the members of the Cosmos are completely full; so that Cosmos itself is full and [quite] complete with bodies, diverse in quality and form, possessing each its proper kind and size. And of these bodies—one’s greater than another, or another’s less than is another, by difference of strength and size. Of course, the stronger of them are more easily perceived, just as the larger [are]. The lesser ones, however, or the more minute, can scarcely be perceived, or not at all—those which we know are things [at all] by sense of touch alone. Whence many come to think they are not bodies, and that there are void spaces,—which is impossible.

(17) Nor can we, on the other hand, think that matter is simply Absolute Magnitude.

Magnitude is not, like Matter, a receptacle; it is an Ideal-Principle: it is a thing standing apart to itself, not some definite Mass. The fact is that the self-gathered content of the Intellectual Principle or of the All-Soul, desires expansion : in its images- aspiring and moving towards it and eagerly imitating its act- is vested a similar power of reproducing their states in their own derivatives. The Magnitude latent in the expansive tendency of the Image-making phase runs forth into the Absolute Magnitude of the Universe; this in turn enlists into the process the spurious magnitude of Matter: the content of the Supreme, thus, in virtue of its own prior extension enables Matter- which never possesses a content- to exhibit the appearance of Magnitude. It must be understood that spurious Magnitude consists in the fact that a thing not possessing actual Magnitude strains towards it and has the extension of that straining. All that is Real Being gives forth a reflection of itself upon all else; every Reality, therefore, has Magnitude which by this process is communicated to the Universe.

The Magnitude inherent in each Ideal-Principle- that of a horse or of anything else- combines with Magnitude the Absolute with the result that, irradiated by that Absolute, Matter entire takes Magnitude and every particle of it becomes a mass; in this way, by virtue at once of the totality of Idea with its inherent magnitude and of each several specific Idea, all things appear under mass; Matter takes on what we conceive as extension; it is compelled to assume a relation to the All and, gathered under this Idea and under Mass, to be all things- in the degree in which the operating power can lead the really nothing to become all.

By the conditions of Manifestation, colour rises from non-colour . Quality, known by the one name with its parallel in the sphere of Primals, rises, similarly, from non-quality: in precisely the same mode, the Magnitude appearing upon Matter rises from non-Magnitude or from that Primal which is known to us by the same name; so that material things become visible through standing midway between bare underlie and Pure Idea. All is perceptible by virtue of this origin in the Intellectual Sphere but all is falsity since the base in which the manifestation takes place is a non-existent.

Particular entities thus attain their Magnitude through being drawn out by the power of the Existents which mirror themselves and make space for themselves in them. And no violence is required to draw them into all the diversity of Shapes and Kinds because the phenomenal All exists by Matter and because each several Idea, moreover, draws Matter its own way by the power stored within itself, the power it holds from the Intellectual Realm. Matter is manifested in this sphere as Mass by the fact that it mirrors the Absolute Magnitude; Magnitude here is the reflection in the mirror. The Ideas meet all of necessity in Matter : and Matter, both as one total thing and in its entire scope, must submit itself, since it is the Material of the entire Here, not of any one determined thing: what is, in its own character, no determined thing may become determined by an outside force- though, in becoming thus determined, it does not become the definite thing in question, for thus it would lose its own characteristic indetermination.

(13) But how account, at this, for its extension over all the heavens and all living beings?

There is no such extension. Sense-perception, by insistence upon which we doubt, tells of Here and There; but reason certifies that the Here and There do not attach to that principle; the extended has participated in that kosmos of life which itself has no extension.

Clearly no participant can participate in itself; self-participation would be merely identity. Body, then, as participant does not participate in body; body it has; its participation must be in what is not body. So too magnitude does not participate in magnitude; it has it: not even in addition of quantity does the initial magnitude participate in magnitude: the two cubits do not themselves become three cubits; what occurs is that an object totalling to a certain quantity now totals to another: for magnitude to participate in magnitude the actual two cubits must themselves become the new three .

If, then, the divided and quantitatively extended is to participate in another Kind, is to have any sort of participation, it can participate only in something undivided, unextended, wholly outside of quantity. Therefore, that which is to be introduced by the participation must enter as itself an omnipresent indivisible.

This indivisibility must, of course, not be taken in any sense of littleness: littleness would be still divisible, could not cover the extension of the participant and could not maintain integral presence against that expansion. Nor is it the indivisibility of a geometric point: the participant mass is no single point but includes an infinity of points; so that on the theory this principle must be an infinity of points, not a simultaneous entire, and so, again, will fail to cover the participant.

If, then, the participant mass in its entirety is to contain that principle entire, the universe must hold that one soul present at its every point.