Chapter VIII: The Method of Classifying Things and Names. (4)
And of those things that are classed under the ten Categories, some are predicated by themselves (as the nine Categories), and others in relation to s...
(4) But immaterial things are capable of being apprehended by the mind alone, by primary application. And of those things that are classed under the ten Categories, some are predicated by themselves (as the nine Categories), and others in relation to something.
Chapter VI: Definitions, Genera, and Species. (27)
Accordingly, while the definition is explanatory of the essence of the thing, it is incapable of accurately comprehending its nature. By means of the...
(27) Accordingly, while the definition is explanatory of the essence of the thing, it is incapable of accurately comprehending its nature. By means of the principal species, the definition makes an exposition of the essence, and almost has the essence in the quality.
Chapter IV: To Prevent Ambiguity, We Must Begin with Clear Definition. (1)
And the knowledge pre-existing of each object of investigation is sometimes merely of the essence, while its functions are unknown (as of stones, and ...
(1) For every question is solved from pre-existing knowledge. And the knowledge pre-existing of each object of investigation is sometimes merely of the essence, while its functions are unknown (as of stones, and plants, and animals, of whose operations we are ignorant), or [the knowledge] of the properties, or powers, or (so to speak) of the qualities inherent in the objects. And sometimes we may know some one or more of those powers or properties, - as, for example, the desires and affections of the soul, - and be ignorant of the essence, and make it the object of investigation. But in many instances, our understanding having assumed all these, the question is, in which of the essences do they thus inhere; for it is after forming conceptions of both - that is, both of essence and operation - in our mind, that we proceed to the question. And there are also some objects, whose operations, along with their essences, we know, but are ignorant of their modifications.
Chapter XX: The True Gnostic Exercises Patience and Self - Restraint. (11)
And of things without life, plants, they say, are moved by transposition in order to growth, if we will concede to them that plants are without life. ...
(11) For of objects that are moved, some are moved by impulse and appearance, as animals; and some by transposition, as inanimate objects. And of things without life, plants, they say, are moved by transposition in order to growth, if we will concede to them that plants are without life. To stones, then, belongs a permanent state. Plants have a nature; and the irrational animals possess impulse and perception, and likewise the two characteristics already specified.
What, then, we have to ask, is the constant element in the first three entities? What is it that identifies them with their inherent Substance? Is it...
(4) What, then, we have to ask, is the constant element in the first three entities? What is it that identifies them with their inherent Substance?
Is it the capacity to serve as a base? But Matter, we maintain, serves as the base and seat of Form: Form, thus, will be excluded from the category of Substance. Again, the Composite is the base and seat of attributes: hence, Form combined with Matter will be the basic ground of Composites, or at any rate of all posteriors of the Composite- Quantity, Quality, Motion, and the rest.
But perhaps we may think Substance validly defined as that which is not predicated of anything else. White and black are predicated of an object having one or other of these qualities; double presupposes something distinct from itself- we refer not to the half, but to the length of wood of which doubleness is affirmed. father qua father is a predicate; knowledge is predicated of the subject in whom the knowledge exists; space is the limit of something, time the measure of something. Fire, on the other hand, is predicated of nothing; wood as such is predicated of nothing; and so with man, Socrates, and the composite substance in general.
Equally the Substantial Form is never a predicate, since it never acts as a modification of anything. Form is not an attribute of Matter hence, is not predicable of Matter it is simply a constituent of the Couplement. On the other hand, the Form of a man is not different from the man himself .
Matter, similarly, is part of a whole, and belongs to something else only as to a whole and not as to a separate thing of which it is predicated. White, on the contrary, essentially belongs to something distinct from itself.
We conclude that nothing belonging to something else and predicated of it can be Substance. Substance is that which belongs essentially to itself, or, in so far as it is a part of the differentiated object, serves only to complete the Composite. Each or either part of the Composite belongs to itself, and is only affirmed of the Composite in a special sense: only qua part of the whole is it predicated of something else; qua individual it is never in its essential nature predicated of an external.
It may be claimed as a common element in Matter, Form and the Couplement that they are all substrates. But the mode in which Matter is the substrate of Form is different from that in which Form and the Couplement are substrates of their modifications.
And is it strictly true to say that Matter is the substrate of Form? Form is rather the completion which Matter's nature as pure potentiality demands.
Moreover, Form cannot be said to reside in Matter . When one thing combines with another to form a unity, the one does not reside in the other; both alike are substrates of a third: thus, Man and a man are substrates of their experiences, and are prior to their activities and consequents.
Substance, then, is that from which all other things proceed and to which they owe their existence; it is the centre of passivity and the source of action.
There are those who lay down four categories and make a fourfold division into Substrates, Qualities, States, and Relative States, and find in these...
(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.
One of the most surprising features of this discovery is that we finally perceive that the two contrasting sets of qualities are really but two...
(43) One of the most surprising features of this discovery is that we finally perceive that the two contrasting sets of qualities are really but two aspects or phases of the whole thing—the real thing, or thing in itself—the unity of the two, instead of being two separated and distinct things. Or, stating it in other words, we discover that the two opposing sets of characteristics are merely relative to each other, and together form a correlated unity and balanced whole.
We have already indicated that Activity and Passivity are to be regarded as motions, and that it is possible to distinguish absolute motions,...
(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.
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...
(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.
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...
(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.
We are led thus to the question of receptivity in things of body. An additional proof that bodies must have some substratum different from themselves...
(6) We are led thus to the question of receptivity in things of body.
An additional proof that bodies must have some substratum different from themselves is found in the changing of the basic-constituents into one another. Notice that the destruction of the elements passing over is not complete- if it were we would have a Principle of Being wrecked in Non-being- nor does an engendered thing pass from utter non-being into Being: what happens is that a new form takes the place of an old. There is, then, a stable element, that which puts off one form to receive the form of the incoming entity.
The same fact is clearly established by decay, a process implying a compound object; where there is decay there is a distinction between Matter and Form.
And the reasoning which shows the destructible to be a compound is borne out by practical examples of reduction: a drinking vessel is reduced to its gold, the gold to liquid; analogy forces us to believe that the liquid too is reducible.
The basic-constituents of things must be either their Form-Idea or that Primal Matter or a compound of the Form and Matter.
Form-Idea, pure and simple, they cannot be: for without Matter how could things stand in their mass and magnitude?
Neither can they be that Primal Matter, for they are not indestructible.
They must, therefore, consist of Matter and Form-Idea- Form for quality and shape, Matter for the base, indeterminate as being other than Idea.
Further: If Matter were susceptible of modification, it must acquire something by the incoming of the new state; it will either adopt that state, or,...
(10) Further: If Matter were susceptible of modification, it must acquire something by the incoming of the new state; it will either adopt that state, or, at least, it will be in some way different from what it was. Now upon this first incoming quality suppose a second to supervene; the recipient is no longer Matter but a modification of Matter: this second quality, perhaps, departs, but it has acted and therefore leaves something of itself after it; the substratum is still further altered. This process proceeding, the substratum ends by becoming something quite different from Matter; it becomes a thing settled in many modes and many shapes; at once it is debarred from being the all-recipient; it will have closed the entry against many incomers. In other words, the Matter is no longer there: Matter is destructible.
No: if there is to be a Matter at all, it must be always identically as it has been from the beginning: to speak of Matter as changing is to speak of it as not being Matter.
Another consideration: it is a general principle that a thing changing must remain within its constitutive Idea so that the alteration is only in the accidents and not in the essential thing; the changing object must retain this fundamental permanence, and the permanent substance cannot be the member of it which accepts modification.
Therefore there are only two possibilities: the first, that Matter itself changes and so ceases to be itself, the second that it never ceases to be itself and therefore never changes.
We may be answered that it does not change in its character as Matter: but no one could tell us in what other character it changes; and we have the admission that the Matter in itself is not subject to change.
Just as the Ideal Principles stand immutably in their essence- which consists precisely in their permanence- so, since the essence of Matter consists in its being Matter it must be permanent in this character; because it is Matter, it is immutable. In the Intellectual realm we have the immutable Idea; here we have Matter, itself similarly immutable.
Chapter IV: To Prevent Ambiguity, We Must Begin with Clear Definition. (17)
The first species, then, of the different kinds of questions, which are three, has been exhibited - I mean that, in which the essence being known,...
(17) The first species, then, of the different kinds of questions, which are three, has been exhibited - I mean that, in which the essence being known, some one of its powers or properties is unknown. The second variety of propositions was that in which we all know the powers and properties, but do not know the essence; as, for example, in what part of the body is the principal faculty of the soul.
The division into elements must, in short, be abandoned, especially in regard to Sensible Substance, known necessarily by sense rather than by...
(8) The division into elements must, in short, be abandoned, especially in regard to Sensible Substance, known necessarily by sense rather than by reason. We must no longer look for help in constituent parts, since such parts will not be substances, or at any rate not sensible substances.
Our plan must be to apprehend what is constant in stone, earth, water and the entities which they compose- the vegetal and animal forms, considered purely as sensibles- and to confine this constant within a single genus. Neither Matter nor Form will thus be overlooked, for Sensible Substance comports them; fire and earth and the two intermediaries consist of Matter and Form, while composite things are actually many substances in one. They all, moreover, have that common property which distinguishes them from other things: serving as subjects to these others, they are never themselves present in a subject nor predicated of any other thing. Similarly, all the characteristics which we have ascribed to Substance find a place in this classification.
But Sensible Substance is never found apart from magnitude and quality: how then do we proceed to separate these accidents? If we subtract them- magnitude, figure, colour, dryness, moistness- what is there left to be regarded as Substance itself? All the substances under consideration are, of course, qualified.
There is, however, something in relation to which whatever turns Substance into qualified Substance is accidental: thus, the whole of fire is not Substance, but only a part of it- if the term "part" be allowed.
What then can this "part" be? Matter may be suggested. But are we actually to maintain that the particular sensible substance consists of a conglomeration of qualities and Matter, while Sensible Substance as a whole is merely the sum of these coagulations in the uniform Matter, each one separately forming a quale or a quantum or else a thing of many qualities? Is it true to say that everything whose absence leaves subsistence incomplete is a part of the particular substance, while all that is accidental to the substance already existent takes independent rank and is not submerged in the mixture which constitutes this so-called substance?
I decline to allow that whatever combines in this way with anything else is Substance if it helps to produce a single mass having quantity and quality, whereas taken by itself and divorced from this complementary function it is a quality: not everything which composes the amalgam is Substance, but only the amalgam as a whole.
And let no one take exception on the ground that we produce Sensible Substance from non-substances. The whole amalgam itself is not True Substance; it is merely an imitation of that True Substance which has Being apart from its concomitants, these indeed being derived from it as the possessor of True Being. In the lower realm the case is different: the underlying ground is sterile, and from its inability to produce fails to attain to the status of Being; it remains a shadow, and on this shadow is traced a sketch- the world of Appearance.
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...
(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.
Chapter VI: Definitions, Genera, and Species. (22)
For each of the species is either an essence; as when we say, Some substances are corporeal and some incorporeal; or how much, or what relation, or wh...
(22) For each of the species is either an essence; as when we say, Some substances are corporeal and some incorporeal; or how much, or what relation, or where, or when, or doing, or suffering.
As regards Quality, the source of what we call a "quale," we must in the first place consider what nature it possesses in accordance with which it...
(10) As regards Quality, the source of what we call a "quale," we must in the first place consider what nature it possesses in accordance with which it produces the "qualia," and whether, remaining one and the same in virtue of that common ground, it has also differences whereby it produces the variety of species. If there is no common ground and the term Quality involves many connotations, there cannot be a single genus of Quality.
What then will be the common ground in habit, disposition, passive quality, figure, shape? In light, thick and lean?
If we hold this common ground to be a power adapting itself to the forms of habits, dispositions and physical capacities, a power which gives the possessor whatever capacities he has, we have no plausible explanation of incapacities. Besides, how are figure and the shape of a given thing to be regarded as a power?
Moreover, at this, Being will have no power qua Being but only when Quality has been added to it; and the activities of those substances which are activities in the highest degree, will be traceable to Quality, although they are autonomous and owe their essential character to powers wholly their own!
Perhaps, however, qualities are conditioned by powers which are posterior to the substances as such . Boxing, for example, is not a power of man qua man; reasoning is: therefore reasoning, on this hypothesis, is not quality but a natural possession of the mature human being; it therefore is called a quality only by analogy. Thus, Quality is a power which adds the property of being qualia to substances already existent.
The differences distinguishing substances from each other are called qualities only by analogy; they are, more strictly, Acts and Reason-Principles, or parts of Reason-Principles, and though they may appear merely to qualify the substance, they in fact indicate its essence.
Qualities in the true sense- those, that is, which determine qualia- being in accordance with our definition powers, will in virtue of this common ground be a kind of Reason-Principle; they will also be in a sense Forms, that is, excellences and imperfections whether of soul or of body.
But how can they all be powers? Beauty or health of soul or body, very well: but surely not ugliness, disease, weakness, incapacity. In a word, is powerlessness a power?
It may be urged that these are qualities in so far as qualia are also named after them: but may not the qualia be so called by analogy, and not in the strict sense of the single principle? Not only may the term be understood in the four ways , but each of the four may have at least a twofold significance.
In the first place, Quality is not merely a question of action and passion, involving a simple distinction between the potentially active and the passive: health, disposition and habit, disease, strength and weakness are also classed as qualities. It follows that the common ground is not power, but something we have still to seek.
Again, not all qualities can be regarded as Reason-Principles: chronic disease cannot be a Reason-Principle. Perhaps, however, we must speak in such cases of privations, restricting the term "Quantities" to Ideal-Forms and powers. Thus we shall have, not a single genus, but reference only to the unity of a category. Knowledge will be regarded as a Form and a power, ignorance as a privation and powerlessness.
On the other hand, powerlessness and disease are a kind of Form; disease and vice have many powers though looking to evil.
But how can a mere failure be a power? Doubtless the truth is that every quality performs its own function independently of a standard; for in no case could it produce an effect outside of its power.
Even beauty would seem to have a power of its own. Does this apply to triangularity?
Perhaps, after all, it is not a power we must consider, but a disposition. Thus, qualities will be determined by the forms and characteristics of the object qualified: their common element, then, will be Form and ideal type, imposed upon Substance and posterior to it.
But then, how do we account for the powers? We may doubtless remark that even the natural boxer is so by being constituted in a particular way; similarly, with the man unable to box: to generalize, the quality is a characteristic non-essential. Whatever is seen to apply alike to Being and to non-Being, as do heat and whiteness and colours generally, is either different from Being- is, for example, an Act of Being- or else is some secondary of Being, derived from it, contained in it, its image and likeness.
But if Quality is determined by formation and characteristic and Reason-Principle, how explain the various cases of powerlessness and deformity? Doubtless we must think of Principles imperfectly present, as in the case of deformity. And disease- how does that imply a Reason-Principle? Here, no doubt, we must think of a principle disturbed, the Principle of health.
But it is not necessary that all qualities involve a Reason-Principle; it suffices that over and above the various kinds of disposition there exist a common element distinct from Substance, and it is what comes after the substance that constitutes Quality in an object.
But triangularity is a quality of that in which it is present; it is however no longer triangularity as such, but the triangularity present in that definite object and modified in proportion to its success in shaping that object.
On the Integral Omnipresence of the Authentic Existent (1) (8)
The light of our world can be allocated because it springs from a corporeal mass of known position, but conceive an immaterial entity, independent of...
(8) The light of our world can be allocated because it springs from a corporeal mass of known position, but conceive an immaterial entity, independent of body as being of earlier nature than all body, a nature firmly self-based or, better, without need of base: such a principle, incorporeal, autonomous, having no source for its rising, coming from no place, attached to no material mass, this cannot be allotted part here and part there: that would be to give it both a previous position and a present attachment. Finally, anything participating in such a principle can participate only as entirety with entirety; there can be no allotment and no partition.
A principle attached to body might be exposed, at least by way of accident, to such partition and so be definable as passive and partible in view of its close relationship with the body of which it is so to speak a state or a Form; but that which is not inbound with body, which on the contrary body must seek, will of necessity go utterly free of every bodily modification and especially of the very possibility of partition which is entirely a phenomenon of body, belonging to its very essence. As partibility goes with body, so impartibility with the bodiless: what partition is possible where there is no magnitude? If a thing of magnitude participates to any degree in what has no magnitude, it must be by a participation without division; divisibility implies magnitude.
When we affirm unity in multiplicity, we do not mean that the unity has become the multiples; we link the variety in the multiples with the unity which we discern, undivided, in them; and the unity must be understood as for ever distinct from them, from separate item and from total; that unity remains true to itself, remains itself, and so long as it remains itself cannot fail within its own scope , yet it is not to be thought of as coextensive with the material universe or with any member of the All; utterly outside of the quantitative, it cannot be coextensive with anything.
Extension is of body; what is not of body, but of the opposed order, must be kept free of extension; but where there is no extension there is no spatial distinction, nothing of the here and there which would end its freedom of presence. Since, then, partition goes with place- each part occupying a place of its own- how can the placeless be parted? The unity must remain self-concentrated, immune from part, however much the multiple aspire or attain to contact with it. This means that any movement towards it is movement towards its entirety, and any participation attained is participation in its entirety. Its participants, then, link with it as with something unparticipated, something never appropriated: thus only can it remain intact within itself and within the multiples in which it is manifested. And if it did not remain thus intact, it would cease to be itself; any participation, then, would not be in the object of quest but in something never quested.
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,...
(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.
A distinction is made between things existing actually and things existing potentially; a certain Actuality, also, is spoken of as a really existent...
(1) A distinction is made between things existing actually and things existing potentially; a certain Actuality, also, is spoken of as a really existent entity. We must consider what content there is in these terms.
Can we distinguish between Actuality and the state of being-in-act? And if there is such an Actuality, is this itself in Act, or are the two quite distinct so that this actually existent thing need not be, itself, an Act?
It is indubitable that Potentiality exists in the Realm of Sense: but does the Intellectual Realm similarly include the potential or only the actual? and if the potential exists there, does it remain merely potential for ever? And, if so, is this resistance to actualization due to its being precluded from time-processes?
First we must make clear what potentiality is.
We cannot think of potentiality as standing by itself; there can be no potentiality apart from something which a given thing may be or become. Thus bronze is the potentiality of a statue: but if nothing could be made out of the bronze, nothing wrought upon it, if it could never be anything as a future to what it has been, if it rejected all change, it would be bronze and nothing else: its own character it holds already as a present thing, and that would be the full of its capacity: it would be destitute of potentiality. Whatsoever has a potentiality must first have a character of its own; and its potentiality will consist in its having a reach beyond that character to some other.
Sometimes after it has turned its potentiality into actuality it will remain what it was; sometimes it will sink itself to the fullest extent in the new form and itself disappear: these two different modes are exemplified in (1) bronze as potentially a statue and (2) water as potentially bronze or, again, air as potentially fire.
But if this be the significance of potentiality, may we describe it as a Power towards the thing that is to be? Is the Bronze a power towards a statue?
Not in the sense of an effectively productive force: such a power could not be called a potentiality. Of course Potentiality may be a power, as, for instance, when we are referring not merely to a thing which may be brought into actualization but to Actuality itself : but it is better, as more conducive to clarity, to use "Potentiality" in regard to the process of Actualization and "Power" in regard to the Principle, Actuality.
Potentiality may be thought of as a Substratum to states and shapes- and forms which are to be received, which it welcomes by its nature and even strives for- sometimes in gain but sometimes, also, to loss, to the annulling of some distinctive manner of Being already actually achieved.