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

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

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

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

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

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

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

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

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

(1) The difference which separates “ Gods from dæmons by the corporeal and incorporeal ,” is the next thing that follows in what you have written; this being much more common than the former difference, and yet it is so far from expressing the peculiarities of their essence, that it does not afford a conjectural knowledge of them, nor of any accidents which pertain to them. For neither is it possible from these things to apprehend whether they are animals or not, and whether they are deprived of life, or are not at all in want of it. Farther still, neither is it easy to conjecture how these names are predicated, whether in common, or of many different things. For if in common, it is absurd that a line and time, God and dæmons, fire and water, should be under the same incorporeal genus. But if of many things, what reason is there when you speak of the incorporeal, that you should rather manifest by it Gods than points; or when you speak of the corporeal, that you should not be thought to speak of the earth rather than of dæmons? For neither is this very thing defined, whether Gods and dæmons have bodies, or are carried in bodies, as in a vehicle, or use them, or comprehend them, or are alone the same with body. But, perhaps, it is not proper to examine this distinction very minutely. For you do not propose it as your own decision, but you exhibit it as the opinion of others.

(24) With regard to locomotion: if ascending is to be held contrary to descending, and circular motion different from motion in a straight line, we may ask how this difference is to be defined- the difference, for example, between throwing over the head and under the feet.

The driving power is one- though indeed it might be maintained that the upward drive is different from the downward, and the downward passage of a different character from the upward, especially if it be a natural motion, in which case the up-motion constitutes lightness, the down-motion heaviness.

But in all these motions alike there is the common tendency to seek an appointed place, and in this tendency we seem to have the differentia which separates locomotion from the other species.

As for motion in a circle and motion in a straight line, if the former is in practice indistinguishable from the latter, how can we regard them as different? The only difference lies in the shape of the course, unless the view be taken that circular motion is "impure," as not being entirely a motion, not involving a complete surrender of identity.

However, it appears in general that locomotion is a definite unity, taking its differences from externals.

(4) 2. “Man was generated by far the wisest of all [terrestrial] animals. For he is able to contemplate the things which exist, and to obtain from all things science and wisdom. To which also it may be added, that divinity has engraved and exhibited in him the system of universal reason, in which all the forms of things in existence are distributed, and the significations of nouns and verbs. For a place is assigned for the sounds of the voice, viz. the pharynx, the mouth, and the nostrils. But as man was generated the instrument of the sounds, through which nouns and verbs are signified, so likewise of the conceptions which are beheld in the things that have an existence. And this appears to me to be the work of wisdom, for the accomplishment of which man was generated and constituted, and received organs and powers from divinity.

(12) It should however be added that if the Idea of man exists in the Supreme, there must exist the Idea of reasoning man and of man with his arts and crafts; such arts as are the offspring of intellect Must be There.

It must be observed that the Ideas will be of universals; not of Socrates but of Man: though as to man we may enquire whether the individual may not also have place There. Under the heading of individuality there is to be considered the repetition of the same feature from man to man, the simian type, for example, and the aquiline: the aquiline and the simian must be taken to be differences in the Idea of Man as there are different types of the animal: but Matter also has its effect in bringing about the degree of aquilinity. Similarly with difference of complexion, determined partly by the Reason-Principle, partly by Matter and by diversity of place.

(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.

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

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

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

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

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

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

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

(102) But the difference lies in this, that man is made by God himself out of the best kernel or pith of nature, to be his angel and similitude, and God ruleth in man with his holy spirit; so that man can speak, discourse, distinguish and understand all things.

(9) Admitted, then- it will be said- for the nobler forms of life; but how can the divine contain the mean, the unreasoning? The mean is the unreasoning, since value depends upon reason and the worth of the intellective implies worthlessness where intellection is lacking. Yet how can there be question of the unreasoning or unintellective when all particulars exist in the divine and come forth from it?

In taking up the refutation of these objections, we must insist upon the consideration that neither man nor animals here can be thought of as identical with the counterparts in the higher realm; those ideal forms must be taken in a larger way. And again the reasoning thing is not of that realm: here the reasoning, There the pre-reasoning.

Why then does man alone reason here, the others remaining reasonless?

Degrees of reasoning here correspond to degrees of Intellection in that other sphere, as between man and the other living beings There; and those others do in some measure act by understanding.

But why are they not at man's level of reason: why also the difference from man to man?

We must reflect that, since the many forms of lives are movements- and so with the Intellections- they cannot be identical: there must be different lives, distinct intellections, degrees of lightsomeness and clarity: there must be firsts, seconds, thirds, determined by nearness to the Firsts. This is how some of the Intellections are gods, others of a secondary order having what is here known as reason, while others again belong to the so-called unreasoning: but what we know here as unreasoning was There a Reason-Principle; the unintelligent was an Intellect; the Thinker of Horse was Intellect and the Thought, Horse, was an Intellect.

But if this were a matter of mere thinking we might well admit that the intellectual concept, remaining concept, should take in the unintellectual, but where concept is identical with thing how can the one be an Intellection and the other without intelligence? Would not this be Intellect making itself unintelligent?

No: the thing is not unintelligent; it is Intelligence in a particular mode, corresponding to a particular aspect of Life; and just as life in whatever form it may appear remains always life, so Intellect is not annulled by appearing in a certain mode. Intellectual-Principle adapted to some particular living being does not cease to be the Intellectual-Principle of all, including man: take it where you will, every manifestation is the whole, though in some special mode; the particular is produced but the possibility is of all. In the particular we see the Intellectual-Principle in realization; the realized is its latest phase; in one case the last aspect is "horse"; at "horse" ended the progressive outgoing towards the lesser forms of life, as in another case it will end at something lower still. The unfolding of the powers of this Principle is always attended by some abandonment in regard to the highest; the outgoing is by loss, and by this loss the powers become one thing or another according to the deficiency of the life-form produced by the failing principle; it is then that they find the means of adding various requisites; the safeguards of the life becoming inadequate there appear nail, talon, fang, horn. Thus the Intellectual-Principle by its very descent is directed towards the perfect sufficiency of the natural constitution, finding there within itself the remedy of the failure.

(10) But failure There? What can defensive horns serve to There? To sufficiency as living form, to completeness. That principle must be complete as living form, complete as Intellect, complete as life, so that if it is not to be one thing it may be another. Its characteristic difference is in this power of being now this, now that, so that, summing all, it may be the completest life-form, Intelligence complete, life in greatest fulness with each of the particulars complete in its degree while yet, over all that multiplicity, unity reigns.

If all were one identity, the total could not contain this variety of forms; there would be nothing but a self-sufficing unity. Like every compound it must consist of things progressively differing in form and safeguarded in that form. This is in the very nature of shape and Reason-Principle; a shape, that of man let us suppose, must include a certain number of differences of part but all dominated by a unity; there will be the noble and the inferior, eye and finger, but all within a unity; the part will be inferior in comparison with the total but best in its place. The Reason-Principle, too, is at once the living form and something else, something distinct from the being of that form. It is so with virtue also; it contains at once the universal and the particular; and the total is good because the universal is not differentiated.

(4) To meet the difficulty we must make a close examination of the nature of Man in the Intellectual; perhaps, though, it is better to begin with the man of this plane lest we be reasoning to Man There from a misconception of Man here. There may even be some who deny the difference.

We ask first whether man as here is a Reason-Principle different to that soul which produces him as here and gives him life and thought; or is he that very soul or, again, the soul using the human body?

Now if man is a reasonable living being and by "living being" is meant a conjoint of soul and body, the Reason-Principle of man is not identical with soul. But if the conjoint of soul and body is the reason-principle of man, how can man be an eternal reality, seeing that it is only when soul and body have come together that the Reason-Principle so constituted appears?

The Reason-Principle will be the foreteller of the man to be, not the Man Absolute with which we are dealing but more like his definition, and not at that indicating his nature since what is indicated is not the Idea that is to enter Matter but only that of the known thing, the conjoint. We have not yet found the Man we are seeking, the equivalent of the Reason-Principle.

But- it may be said- the Reason-Principle of such beings must be some conjoint, one element in another.

This does not define the principle of either. If we are to state with entire accuracy the Reason-Principles of the Forms in Matter and associated with Matter, we cannot pass over the generative Reason-Principle, in this case that of Man, especially since we hold that a complete definition must cover the essential manner of being.

What, then, is this essential of Man? What is the indwelling, inseparable something which constitutes Man as here? Is the Reason-Principle itself a reasoning living being or merely a maker of that reasoning life-form? and what is it apart from that act of making?

The living being corresponds to a reasoning life in the Reason-Principle; man therefore is a reasoning life: but there is no life without soul; either, then, the soul supplies the reasoning life- and man therefore is not an essence but simply an activity of the soul- or the soul is the man.

But if reasoning soul is the man, why does it not constitute man upon its entry into some other animal form?

(1) But now let this suffice about such things; and let us once again return to man and reason,—gift divine, from which man has the name of rational animal. Less to be wondered at are the things said of man,—though they are [still] to be admired. Nay, of all marvels that which wins our wonder [most] is that man has been able to find out the nature of the Gods and bring it into play.

(22) But suppose that we identify alteration with Motion on the ground that Motion itself results in difference: how then do we proceed to define Motion?

It may roughly be characterized as the passage from the potentiality to its realization. That is potential which can either pass into a Form- for example, the potential statue- or else pass into actuality- such as the ability to walk: whenever progress is made towards the statue, this progress is Motion; and when the ability to walk is actualized in walking, this walking is itself Motion: dancing is, similarly, the motion produced by the potential dancer taking his steps.

In the one type of Motion a new Form comes into existence created by the motion; the other constitutes, as it were, the pure Form of the potentiality, and leaves nothing behind it when once the motion has ceased. Accordingly, the view would not be unreasonable which, taking some Forms to be active, others inactive, regarded Motion as a dynamic Form in opposition to the other Forms which are static, and further as the cause of whatever new Form ensues upon it. To proceed to identify this bodily motion with life would however be unwarrantable; it must be considered as identical only in name with the motions of Intellect and Soul.

That Motion is a genus we may be all the more confident in virtue of the difficulty- the impossibility even- of confining it within a definition.

But how can it be a Form in cases where the motion leads to deterioration, or is purely passive? Motion, we may suggest, is like the heat of the sun causing some things to grow and withering others. In so far as Motion is a common property, it is identical in both conditions; its apparent difference is due to the objects moved.

Is, then, becoming ill identical with becoming well? As motions they are identical. In what respect, then, do they differ? In their substrates? or is there some other criterion?

This question may however be postponed until we come to consider alteration: at present we have to discover what is the constant element in every motion, for only on this basis can we establish the claim of Motion to be a genus.

Perhaps the one term covers many meanings; its claim to generic status would then correspond to that of Being.

As a solution of the problem we may suggest that motions conducing to the natural state or functioning in natural conditions should perhaps, as we have already asserted, be regarded as being in a sense Forms, while those whose direction is contrary to nature must be supposed to be assimilated to the results towards which they lead.

But what is the constant element in alteration, in growth and birth and their opposites, in local change? What is that which makes them all motions? Surely it is the fact that in every case the object is never in the same state before and after the motion, that it cannot remain still and in complete inactivity but, so long as the motion is present, is continually urged to take a new condition, never acquiescing in Identity but always courting Difference; deprived of Difference, Motion perishes.

Thus, Difference may be predicated of Motion, not merely in the sense that it arises and persists in a difference of conditions, but in the sense of being itself perpetual difference. It follows that Time, as being created by Motion, also entails perpetual difference: Time is the measure of unceasing Motion, accompanying its course and, as it were, carried along its stream.

In short, the common basis of all Motion is the existence of a progression and an urge from potentiality and the potential to actuality and the actual: everything which has any kind of motion whatsoever derives this motion from a pre-existent potentiality within itself of activity or passivity.

(3) So great, therefore, being the difference between the energies of dæmons, heroes, and souls throughout, it is no longer proper to doubt, what it is which separates them from each other; but they are to be distinguished by the peculiar nature of each. And so far as they are able to form one conjunction, so far the communion of them must be surveyed. For thus it will be possible truly to comprehend and define separately the conception which ought to be formed of them.

(1) Now every single class of living thing, Asclepius, of whatsoever kind, or it be mortal or be rational, whether it be endowed with soul, or be without one, just as each has its class, so does each several [class] have images of its own class. And though each separate class of animal has in it every form of its own class, still in the selfsame [kind of] form the units differ from each other. And so although the class of men is of one kind, so that a man can be distinguished by his [general] look, still individual men within the sameness of their [common] form do differ from each other.

(5) In short, whether you think that there is one genus of the Gods, one of dæmons, and in a similar manner of heroes, and souls essentially incorporeal; or whether you admit that these are severally many, you inquire what the difference of them is according to peculiarities. For if you apprehend that each of these is one [and the same genus] the whole arrangement of scientific theology is confounded. But if, as truth requires, you admit that they are genetically distinguished, and that there is not in them one common essential definition, but that those of them which are prior, are exempt from those that are inferior, it is not possible to discover their common boundaries. And even if this were possible, this very thing would destroy their peculiarities. In this way, therefore, the object of investigation cannot be found. He, however, he who directs his attention to the analogous sameness which exists in superior natures, as, for instance, in the many genera of the Gods, and again in dæmons and heroes, and, in the last place, in souls, will be able to define their peculiarities. Hence through this, it is demonstrated by us what the rectitude is of the present inquiry, and what its [accurate] distinction, and also in what manner it is impossible, and in what manner it is possible, for it to subsist.

(11) But if these considerations are sound, why has Quality more than one species? What is the ground for distinguishing between habit and disposition, seeing that no differentia of Quality is involved in permanence and non-permanence? A disposition of any kind is sufficient to constitute a quality; permanence is a mere external addition. It might however be urged that dispositions are but incomplete "forms"- if the term may pass- habits being complete ones. But incomplete, they are not qualities; if already qualities, the permanence is an external addition.

How do physical powers form a distinct species? If they are classed as qualities in virtue of being powers, power, we have seen, is not a necessary concomitant of qualities. If, however, we hold that the natural boxer owes his quality to a particular disposition, power is something added and does not contribute to the quality, since power is found in habits also.

Another point: why is natural ability to be distinguished from that acquired by learning? Surely, if both are qualities, they cannot be differentiae of Quality: gained by practice or given in nature, it is the same ability; the differentia will be external to Quality; it cannot be deduced from the Ideal Form of boxing. Whether some qualities as distinguished from others are derived from experience is immaterial; the source of the quality makes no difference- none, I mean, pointing to variations and differences of Quality.

A further question would seem to be involved: If certain qualities are derived from experience but here is a discrepancy in the manner and source of the experience, how are they to be included in the same species? And again, if some create the experience, others are created by it, the term Quality as applied to both classes will be equivocal.

And what part is played by the individual form? If it constitutes the individual's specific character, it is not a quality; if, however, it is what makes an object beautiful or ugly after the specific form has been determined, then it involves a Reason-Principle.

Rough and smooth, tenuous and dense may rightly be classed as qualities. It is true that they are not determined by distances and approximations, or in general by even or uneven dispositions, of parts; though, were they so determined, they might well even then be qualities.

Knowledge of the meaning of "light" and "heavy" will reveal their place in the classification. An ambiguity will however be latent in the term "light," unless it be determined by comparative weight: it would then implicate leanness and fineness, and involve another species distinct from the four .

(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.

(51) Timaeus: Now these two Kinds must be declared to be two, because they have come into existence separately and are unlike in condition. For the one of them arises in us by teaching, the other by persuasion; and the one is always in company with true reasoning, whereas the other is irrational; and the one is immovable by persuasion, whereas the other is alterable by persuasion; and of the one we must assert that every man partakes, but of Reason only the gods and but a small class of men. This being so, we must agree that One Kind