95.] (γ) What we now in point of fact have before us, is that somewhat comes to be an other, and that the other generally comes to be an other. Thus essentially relative to another, somewhat is virtually an other against it: and since what is passed into is quite the same as what passes over, since both have one and the same attribute, viz. to be an other, it follows that something in its passage into other only joins with itself. To be thus self-related in the passage, and in the other, is the genuine Infinity. Or, under a negative aspect: what is altered is the other, it becomes the other of the other. Thus Being, but as negation of the negation, is restored again: it is now Being-for-self.
Dualism, in putting an insuperable opposition between finite and infinite, fails to note the simple circumstance that the infinite is thereby only one of two, and is reduced to a particular, to which the finite forms theother particular. Such an infinite, which is only a particular, is co-terminous with the finite which makes for it a limit and a barrier: it is not what it ought to be, that is, the infinite, but is only finite. In such circumstances, where the finite is on this side, and the infinite on that,—this world as the finite and the other world as the infinite,—an equal dignity of permanence and independence is ascribed to finite and to infinite. The being of the finite is made an absolute being, and by this dualism gets independence and stability. Touched, so to speak, by the infinite, it would be annihilated. But it must not be touched by the infinite. There must be an abyss, an impassable gulf between the two, with the infinite abiding on yonder side and the finite steadfast on this. Those who attribute to the finite this inflexible persistence in comparison with the infinite are not, as they imagine, far above metaphysic: they are still on the level of the most ordinary metaphysic of understanding. For the same thing occurs here as in the infinite progression. At one time it is admitted that the finite has no independent actuality, no absolute being, no root and development of its own, but is only a transient. But next moment this is straightway forgotten; the finite, made a mere counterpart to the infinite, wholly separated from it, and rescued from annihilation, is conceived to be persistent in its independence. While thought thus imagines itself elevated to the infinite, it meets with the opposite fate: it comes to an infinite which is only a finite, and the finite, which it had left behind, has always to be retained and made into an absolute.
After this examination (with which it were well to compare Plato's Philebus), tending to show the nullity of the distinction made by understanding between the finite and the infinite, we are liable to glide into the statement that the infinite and the finite are thereforeone, and that the genuine infinity, the truth, must be defined and enunciated as the unity of the finite and infinite. Such a statement would be to some extent correct; but is just as open to perversion and falsehood as the unity of Being and Nothing already noticed. Besides it may very fairly be charged with reducing the infinite to finitude and making a finite infinite. For, so far as the expression goes, the finite seems left in its place,—it is not expressly stated to be absorbed. Or, if we reflect that the finite, when identified with the infinite, certainly cannot remain what it was out of such unity, and will at least suffer some change in its characteristics—as an alkali, when combined with an acid, loses some of its properties, we must see that, the same fate awaits the infinite, which, as the negative, will on its part likewise have its edge, as it were, taken off on the other. And this does really happen with the abstract one-sided infinite of understanding. The genuine infinite however is not merely in the position of the one-sided acid, and so does not lose itself. The negation of negation is not a neutralisation: the infinite is the affirmative, and it is only the finite which is absorbed.
In Being-for-self enters the category of Ideality. Being-there-and-then, as in the first instance apprehended in its being or affirmation, has reality (§ 91): and thus even finitude in the first instance is in the category of reality. But the truth of the finite is rather its ideality. Similarly, the infinite of understanding, which is co-ordinated with the finite, is itself only one of two finites, no whole truth, but a non-substantial element. This ideality of the finite is the chief maxim of philosophy; and for that reason every genuine philosophy is idealism. But everything depends upon not taking for the infinite what, in the very terms of its characterisation, is. at the same time made a particularand finite.—For this reason we have bestowed a greater amount of attention on this distinction. The fundamental notion of philosophy, the genuine infinite, depends upon it. The distinction is cleared up by the simple, and for that reason seemingly insignificant, but incontrovertible reflections, contained in the first paragraph of this section.
(c)Being-for-self.
96.] (α) Being-for self, as reference to itself, is immediacy, and as reference of the negative to itself, is a self-subsistent, theOne. This unit, being without distinction in itself, thus excludes the other from itself.
To be for self—to be one—is completed Quality, and as such, contains abstract Being and Being modified as non-substantial elements. As simple Being, the One is simple self-reference; as Being modified it is determinate: but the determinateness is not in this case a finite determinateness—a somewhat in distinction from an other—but infinite, because it contains distinction absorbed and annulled in itself.
The readiest instance of Being-for-self is found in the 'I.' We know ourselves as existents, distinguished in the first place from other existents, and with certain relations thereto. But we also come to know this expansion of existence (in these relations) reduced, as it were, to a point in the simple form of being-for-self. When we say 'I,' we express the reference-to-self which is infinite, and at the same time negative. Man, it may be said, is distinguished from the animal world, and in that way from nature altogether, by knowing himself as 'I': which amounts to saying that natural things never attain a free Being-for-self, but as limited to Being-there-and-then, are always and only Being for an other.—Again, Being-for-self may be described as ideality, just as Being-there-and-then was described as reality. It is said, that besides reality there isalsoan ideality. Thus the two categories are made equal and parallel. Properly speaking, ideality is not somewhatoutside of and beside reality: the notion of ideality just lies in its being the truth of reality. That is to say, when reality is explicitly put as what it implicitly is, it is at once seen to be ideality. Hence ideality has not received its proper estimation, when you allow that reality is not all in all, but that an ideality must be recognised outside of it. Such an ideality, external to or it may be even beyond reality, would be no better than an empty name. Ideality only has a meaning when it is the ideality of something: but this something is not a mere indefinite this or that, but existence characterised as reality, which, if retained in isolation, possesses no truth. The distinction between Nature and Mind is not improperly conceived, when the former is traced back to reality, and the latter to ideality as a fundamental category. Nature however is far from being so fixed and complete, as to subsist even without Mind: in Mind it first, as it were, attains its goal and its truth. And similarly, Mind on its part is not merely a world beyond Nature and nothing more: it is really, and with full proof, seen to be mind, only when it involves Nature as absorbed in itself.—Aproposof this, we should note the double meaning of the German wordaufheben(to put by, or set aside). We mean by it (1) to clear away, or annul: thus, we say, a law or a regulation is set aside: (2) to keep, or preserve: in which sense we use it when we say: something is well put by. This double usage of language, which gives to the same word a positive and negative meaning, is not an accident, and gives no ground for reproaching language as a cause of confusion. We should rather recognise in it the speculative spirit of our language rising above the mere 'Either—or' of understanding.
97.] (β) The relation of the negative to itself is a negative relation, and so a distinguishing of the One from itself, the repulsion of the One; that is, it makesManyOnes. So far as regards the immediacy of the self-existents, these Manyare:and the repulsion of every One of them becomes to that extent their repulsion against each other as existing units,—in other words, their reciprocal exclusion.
Whenever we speak of the One, the Many usually come into our mind at the same time. Whence, then, we are forced to ask, do the Many come? This question is unanswerable by the consciousness which pictures the Many as a primary datum, and-treats the One as only one among the Many. But the philosophic notion teaches, contrariwise, that the One forms the pre-supposition of the Many: and in the thought of the One is implied that it explicitly make itself Many. The self-existing unit is not, like Being, void of all connective reference: it is a reference, as well as Being-there-and-then was, not however a reference connecting somewhat with an other, but, as unity of the some and the other, it is a connexion with itself, and this connexion be it noted is a negative connexion. Hereby the One manifests an utter incompatibility with itself, a self-repulsion: and what it makes itself explicitly be, is the Many. We may denote this side in the process of Being-for-self by the figurative term Repulsion. Repulsion is a term originally employed in the study of matter, to mean that matter, as a Many, in each of these many Ones, behaves as exclusive to all the others. It would be wrong however to view the process of repulsion, as if the One were the repellent and the Many the repelled. The One, as already remarked, just is self-exclusion and explicit putting itself as the Many. Each of the Many however is itself a One, and in virtue of its so behaving, this all-round repulsion is by one stroke converted into its opposite,—Attraction.
98.] (γ) But the Many are one the same as another: each is One, or even one of the Many; they are consequently one and the same. Or when we study all thatRepulsioninvolves, we see that as a negative attitude of many Ones to one another, it is just as essentially a connective reference of them to each other; and as those to which the One is related in its act of repulsion are ones, it is in them thrown into relation with itself. The repulsion therefore has an equal right to be called Attraction; and the exclusive One, or Being-for-self, suppresses itself. The qualitativecharacter, which in the One or unit has reached the extreme point of its characterisation, has thus passed over into determinateness (quality) suppressed,i.e.into Being as Quantity.
The philosophy of the Atomists is the doctrine in which the Absolute is formulated as Being-for-self, as One, and many ones. And it is the repulsion, which shows itself in the notion of the One, which is assumed as the fundamental force in these atoms. But instead of attraction, it is Accident, that is, mere unintelligence, which is expected to bring them together. So long as the One is fixed as one, it is certainly impossible to regard its congression with others as anything but external and mechanical. The Void, which is assumed as the complementary principle to the atoms, is repulsion and nothing else, presented under the image of the nothing existing between the atoms.—Modern Atomism—and physics is still in principle atomistic—has surrendered the atoms so far as to pin its faith on molecules or particles. In so doing, science has come closer to sensuous conception, at the cost of losing the precision of thought.—To put an attractive by the side of a repulsive force, as the moderns have done, certainly gives completeness to the contrast: and the discovery of this natural force, as it is called, has been a source of much pride. But the mutual implication of the two, which makes what is true and concrete in them, would have to be wrested from the obscurity and confusion in which they were left even in Kant's Metaphysical Rudiments of Natural Science.—In modern times the importance of the atomic theory is even more evident in political than in physical science. According to it, the will of individuals as such is the creative principle of the State: the attracting force is the special wants and inclinations of individuals; andthe Universal, or the State itself, is the external nexus of a compact.
The Atomic philosophy forms a vital stage in the historical evolution of the Idea. The principle of that system may be described as Being-for-self in the shape of the Many. At present, students of nature who are anxious to avoid metaphysics turn a favourable ear to Atomism. But it is not possible to escape metaphysics and cease to trace nature back to terms of thought, by throwing ourselves into the arms of Atomism. The atom, in fact, is itself a thought; and hence the theory which holds matter to consist of atoms is a metaphysical theory. Newton gave physics an express warning to beware of metaphysics, it is true; but, to his honour be it said, he did not by any means obey his own warning. The only mere physicists are the animals: they alone do not think: while man is a thinking being and a born metaphysician. The real question is not whether we shall apply metaphysics, but whether our metaphysics are of the right kind: in other words, whether we are not, instead of the concrete logical Idea, adopting one-sided forms of thought, rigidly fixed by understanding, and making these the basis of our theoretical as well as our practical work. It is on this ground that one objects to the Atomic philosophy. The old Atomists viewed the world as a many, as their successors often do to this day. On chance they laid the task of collecting the atoms which float about in the void. But, after all, the nexus binding the many with one another is by no means a mere accident: as we have already remarked, the nexus is founded on their very nature. To Kant we owe the completed theory of matter as the unity of repulsion and attraction. The theory is correct, so far as it recognises attraction to be the other of the two elements involved in the notion of Being-for-self: and to be an element no less essential than repulsion to constitute matter. Still this dynamical construction of matter, as it is termed, has the fault of taking for granted, instead of deducing, attraction and repulsion. Had they been deduced, we should then have seen the How and the Why of a unity which is merely asserted. Kant indeed was careful to inculcate that Mattermust not be taken to be in existenceper se,and then as it were incidentally to be provided with the two forces mentioned, but must be regarded as consisting solely in their unity. German physicists for some time accepted this pure dynamic. But in spite of this, the majority of these physicists i n modern times have found it more convenient to return to the Atomic point of view, and in spite of the warnings of Kästner, one of their number, have begun to regard Matter as consisting of infinitesimally small particles, termed 'atoms'—which atoms have then to be brought into relation with one another by the play of forces attaching to them,—attractive, repulsive, or whatever they may be. This too is metaphysics; and metaphysics which, for its utter unintelligence, there would be sufficient reason to guard against.
(2) The transition from Quality to Quantity, indicated in the paragraph before us, is not found in our ordinary way of thinking, which deems each of these categories to exist independently beside the other. We are in the habit of saying that things are not merely qualitatively, but also quantitatively defined; but whence these categories originate, and how they are related to each other, are questions not further examined. The fact is, quantity just means quality superseded and absorbed: and it is by the dialectic of quality here examined that this supersession is effected. First of all, we had Being: as the truth of Being, came Becoming: which formed the passage to Being Determinate: and the truth of that we found to be Alteration. And in its result Alteration showed itself to be Being-for-self, exempt from implication of another and from passage into another;—which Being-for-self, finally, in the two sides of its process, Repulsion and Attraction, was clearly seen to annul itself, and thereby to annul quality in the totality of its stages. Still this superseded and absorbed quality is neither an abstract nothing, nor an equally abstract and featureless being: it is only being as indifferent to determinateness or character. This aspect of being is also what appears as quantity in our ordinary conceptions. We observe things, first of all, with an eye to their quality—which we take to be the character identical with the being of the thing. If we proceed to consider their quantity, we get the conception of an indifferent and external character or mode, of such a kind that a thing remains what it is, though its quantity is altered, and the thing becomes greater or less.
(α)Pure Quantity.
99.]Quantityis pure being, where the mode or character is no longer taken as one with the being itself, but explicitly put as superseded or indifferent.
(1) The expressionMagnitudeespecially marksdeterminateQuantity, and is for that reason not a suitable name for Quantity in general. (2) Mathematics usually define magnitude as what can be increased or diminished. This definition has the defect of containing the thing to be defined over again: but it may serve to show that the category of magnitude is explicitly understood to be changeable and indifferent, so that, in spite of its being altered by an increased extension or intension, the thing, a house, for example, does not cease to be a house, and red to be red. (3) The Absolute is pure Quantity. This point of view is upon the whole the same as when the Absolute is defined to be Matter, in which, though form undoubtedly is present, the form is a characteristic of no importance one way or another. Quantity too constitutes the main characteristic of the Absolute, when the Absolute is regarded as absolute indifference, and only admitting of quantitative distinction.—Otherwise pure space, time, &c. may be taken as examples of Quantity, if we allow ourselves to regard the real as whatever fills up space and time, it matters not with what.
The mathematical definition of magnitude as what may be increased or diminished, appears at first sight to be moreplausible and perspicuous than the exposition of the notion in the present section. When closely examined, however, it involves, under cover of pre-suppositions and images, the same elements as appear in the notion of quantity reached by the method of logical development. In other words, when we say that the notion of magnitude lies in the possibility of being increased or diminished, we state that magnitude (or more correctly, quantity), as distinguished from quality, is a characteristic of such kind that the characterised thing is not in the least affected by any change in it. What then, it may be asked, is the fault which we have to find with this definition? It is that to increase and to diminish is the same thing as to characterise magnitude otherwise. If this aspect then were an adequate account of it, quantity would be described merely as whatever can be altered. But quality is no less than quantity open to alteration; and the distinction here given between quantity and quality is expressed by saying increaseordiminution: the meaning being that, towards whatever side the determination of magnitude be altered, the thing still remains what it is.
One remark more. Throughout philosophy we do not seek merely for correct, still less for plausible definitions, whose correctness appeals directly to the popular imagination; we seek approved or verified definitions, the content of which is not assumed merely as given, but is seen and known to warrant itself, because warranted by the free self-evolution of thought. To apply this to the present case. However correct and self-evident the definition of quantity usual in Mathematics may be, it will still fail to satisfy the wish to see how far this particular thought is founded in universal thought, and in that way necessary. This difficulty, however, is not the only one. If quantity is not reached through the action of thought, but taken uncritically from our generalised image of it, we are liable to exaggerate the range of its validity, or even to raise it to the height of an absolute category. And that such a danger is real, we see when the title of exact science is restricted to those sciences the objects of which can be submitted to mathematical calculation. Here we have another trace of the bad metaphysics (mentioned in§ 98, note) which replace the concrete idea by partial and inadequate categories of understanding. Our knowledge would be in a very awkward predicament if such objects as freedom, law, morality, or even God Himself, because they cannot be measured and calculated, or expressed in a mathematical formula, were to be reckoned beyond the reach of exact knowledge, and we had to put up with a vague generalised image of them, leaving their details or particulars to the pleasure of each individual, to make out of them what he will. The pernicious consequences, to which such a theory gives rise in practice, are at once evident. And this mere mathematical view, which identifies with the Idea one of its special stages, viz. quantity, is no other than the principle of Materialism. Witness the history of the scientific modes of thought, especially in France since the middle of last century. Matter, in the abstract, is just what, though of course there is form in it, has that form only as an indifferent and external attribute.
The present explanation would be utterly misconceived if it were supposed to disparage mathematics. By calling the quantitative characteristic merely external and indifferent, we provide no excuse for indolence and superficiality, nor do we assert that quantitative characteristics may be left to mind themselves, or at least require no very careful handling. Quantity, of course, is a stage of the Idea: and as such it must have its due, first as a logical category, and then in the world of objects, natural as well as spiritual. Still even so, there soon emerges the different importance attaching to the category of quantity according as its objects belong to the natural or to the spiritual world. For in Nature, where the form of the Idea is to be other than, and at the same time outside, itself, greater importance is for that very reason attached to quantity than in the spiritual world, the world of free inwardness. No doubt we regard even spiritual facts under a quantitative point of view; but it is at once apparent that in speaking of God as a Trinity, the number three has by no means the same prominence, as when we consider the three dimensions of space or the three sides of a triangle;—the fundamental feature of which last is just to be a surfacebounded by three lines. Even inside the realm of Nature we find the same distinction of greater or less importance of quantitative features. In the inorganic world, Quantity plays, so to say, a more prominent part than in the organic. Even in organic nature when we distinguish mechanical functions from what are called chemical, and in the narrower sense, physical, there is the same difference. Mechanics is of all branches of science, confessedly, that in which the aid of mathematics can be least dispensed with,—where indeed we cannot take one step without them. On that account mechanics is regarded next to mathematics as the sciencepar excellence; which leads us to repeat the remark about the coincidence of the materialist with the exclusively mathematical point of view. After all that has been said, we cannot but hold it, in the interest of exact and thorough knowledge, one of the most hurtful prejudices, to seek all distinction and determinateness of objects merely in quantitative considerations. Mind to be sure is more than Nature and the animal is more than the plant: but we know very little of these objects and the distinction between them, if a more and less is enough for us, and if we do not proceed to comprehend them in their peculiar, that is their qualitative character.
100.] Quantity, as we saw, has two sources: the exclusive unit, and the identification or equalisation of these units. When we look therefore at its immediate relation to self, or at the characteristic of self-sameness made explicit by attraction, quantity is Continuous magnitude; but when we look at the other characteristic, the One implied in it, it is Discrete magnitude. Still continuous quantity has also a certain discreteness, being but a continuity of the Many: and discrete quantity is no less continuous, its continuity being the One or Unit, that is, the self-same point of the many Ones.
(1) Continuous and Discrete magnitude, therefore, must not be supposed two species of magnitude, asif the characteristic of the one did not attach to the other. The only distinction between them is that the same whole (of quantity) is at one time explicitly put under the one, at another under the other of its characteristics. (2) The Antinomy of space, of time, or of matter, which discusses the question of their being divisible for ever, or of consisting of indivisible units, just means that we maintain quantity as at one timeDiscrete, at another Continuous. If we explicitly invest time, space, or matter with the attribute of Continuous quantity alone, they are divisiblead infinitum.When, on the contrary, they are invested with the attribute of Discrete quantity, they are potentially divided already, and consist of indivisible units. The one view is as inadequate as the other.
Quantity, as the proximate result of Being-for-self, involves the two sides in the process of the latter, attraction and repulsion, as constitutive elements of its own idea. It is consequently Continuous as well as Discrete. Each of these two elements involves the other also, and hence there is no such thing as a merely Continuous or a merely Discrete quantity. We may speak of the two as two particular and opposite species of magnitude; but that is merely the result of our abstracting reflection, which in viewing definite magnitudes waives now the one, now the other, of the elements contained in inseparable unity in the notion of quantity. Thus, it may be said, the space occupied by this room is a continuous magnitude, and the hundred men, assembled in it, form a discrete magnitude. And yet the space is continuous and discrete at the same time; hence we speak of points of space, or we divide space, a certain length, into so many feet, inches, &c., which can be done only on the hypothesis that space is also potentially discrete. Similarly, on the other hand, the discrete magnitude, made up of a hundred men, is also continuous: and the circumstance on which this continuity depends, is the common element, thespecies man, which pervades all the individuals and unites them with each other.
(b)Quantum (How Much).
101.] Quantity, essentially invested with the exclusionist character which it involves, isQuantum(or How Much):i.e.limited quantity.
Quantum is, as it were, the determinate Being of quantity: whereas mere quantity corresponds to abstract Being, and the Degree, which is next to be considered, corresponds to Being-for-self. As for the details of the advance from mere quantity to quantum, it is founded on this: that whilst in mere quantity the distinction, as a distinction of continuity and discreteness, is at first only implicit, in a quantum the distinction is actually made, so that quantity in general now appears as distinguished or limited. But in this way the quantum breaks up at the same time into an indefinite multitude of Quanta or definite magnitudes. Each of these definite magnitudes, as distinguished from the others, forms a unity, while on the other hand, viewedper se,it is a many. And, when that is done, the quantum is described as Number.
102.] InNumberthe quantum reaches its development and perfect mode. Like the One, the medium in which it exists, Number involves two qualitative factors or functions; Annumeration or Sum, which depends on the factor discreteness, and Unity, which depends on continuity.
In arithmetic the several kinds of operation are usually presented as accidental modes of dealing with numbers. If necessity and meaning is to be found in these operations, it must be by a principle: and that must come from the characteristic elements in the notion of number itself. (This principle must here be briefly exhibited.) These characteristic elements are Annumeration on the one hand, and Unity on theother, which together constitute number. But Unity, when applied to empirical numbers, is only the equality of these numbers: hence the principle of arithmetical operations must be to put numbers in the ratio of Unity and Sum (or amount), and to elicit the equality of these two modes.
The Ones or the numbers themselves are indifferent towards each other, and hence the unity into which they are translated by the arithmetical operation takes the aspect of an external colligation. All reckoning is therefore making up the tale: and the difference between the species of it lies only in the qualitative constitution of the numbers of which we make up the tale. The principle for this constitution is given by the way we fix Unity and Annumeration.
Numeration comes first: what we may call, making number; a colligation of as many units as we please. But to get aspeciesof calculation, it is necessary that what we count up should be numbers already, and no longer a mere unit.
First, and as they naturally come to hand, Numbers are quite vaguely numbers in general, and so, on the whole, unequal. The colligation, or telling the tale of these, is Addition.
The second point of view under which we regard numbers is as equal, so that they make one unity, and of such there is an annumeration or sum before us. To tell the tale of these is Multiplication. It makes no matter in the process, how the functions of Sum and Unity are distributed between the two numbers, or factors of the product; either may be Sum and either may be Unity.
The third and final point of view is the equality of Sum (amount) and Unity. To number together numbers when so characterised is Involution; and in thefirst instance raising them to the square power. To raise the number to ä higher power means in point of form to go on multiplying a number with itself an indefinite amount of times.—Since this third type of calculation exhibits the complete equality of the sole existing distinction in number, viz. the distinction between Sum or amount and Unity, there can be no more than these three modes of calculation. Corresponding to the integration we have the dissolution of numbers according to the same features. Hence besides the three species mentioned, which may to that extent be called positive, there are three negative species of arithmetical operation.
Number, in general, is the quantum in its complete specialisation. Hence we may employ it not only to determine what we call discrete, but what are called continuous magnitudes as well. For that reason even geometry must call in the aid of number, when it is required to specify definite figurations of space and their ratios.
(c)Degree.
103.] The limit (in a quantum) is identical with the whole of the quantum itself. Asin itselfmultiple, the limit is Extensive magnitude; as in itselfsimpledeterminateness (qualitative simplicity), it is Intensive magnitude orDegree.
The distinction between Continuous and Discrete magnitude differs from that between Extensive and Intensive in the circumstance that the former apply to quantity in general, while the latter apply to the limit or determinateness of it as such. Intensive and Extensive magnitude are not, any more than the other, two species, of which the one involves a character not possessed by the other: what is Extensive magnitude is just as much Intensive, andvice versâ.
Intensive magnitude or Degree is in its notion distinct from Extensive magnitude or the Quantum. It is therefore inadmissible to refuse, as many do, to recognise this distinction, and without scruple to identify the two forms of magnitude. They are so identified in physics, when difference of specific gravity is explained by saying, that a body, with a specific gravity twice that of another, contains within the same space twice as many material parts (or atoms) as the other. So with heat and light, if the various degrees of temperature and brilliancy were to be explained by the greater or less number of particles (or molecules) of heat and light. No doubt the physicists, who employ such a mode of explanation, usually excuse themselves, when they are remonstrated with on its untenableness, by saying that the expression is without prejudice to the confessedly unknowable essence of such phenomena, and employed merely for greater convenience. This greater convenience is meant to point to the easier application of the calculus: but it is hard to see why Intensive magnitudes, having, as they do, a definite numerical expression of their own, should not be as convenient for calculation as Extensive magnitudes. If convenience be all that is desired, surely it would be more convenient to banish calculation and thought altogether. A further point against the apology offered by the physicists is, that, to engage in explanations of this kind, is to overstep the sphere of perception and experience, and resort to the realm of metaphysics and of what at other times would be called idle or even pernicious speculation. It is certainly a fact of experience that, if one of two purses filled with shillings is twice as heavy as the other, the reason must be, that the one contains, say two hundred, and the other only one hundred shillings. These pieces of money we can see and feel with our senses: atoms, molecules, and the like, are on the contrary beyond the range of sensuous perception; and thought alone can decide whether they are admissible, and have a meaning. But (as already noticed in § 98, note) it is abstract understanding which stereotypes the factor of multeity (involved in the notion of Being-for-self) in the shape of atoms, and adopts it as an ultimate principle. It is the sameabstract understanding which, in the present instance, at equal variance with unprejudiced perception and with real concrete thought, regards Extensive magnitude as the sole form of quantity, and, where Intensive magnitudes occur, does not recognise them in their own character, but makes a violent attempt by a wholly untenable hypothesis to reduce them to Extensive magnitudes.
Among the charges made against modern philosophy, one is heard more than another. Modern philosophy, it is said, reduces everything to identity. Hence its nickname, the Philosophy of Identity. But the present discussion may teach that it is philosophy, and philosophy alone, which insists on distinguishing what is logically as well as in experience different; while the professed devotees of experience are the people who erect abstract identity into the chief principle of knowledge. It is their philosophy which might more appropriately be termed one of identity. Besides it is quite correct that there are no merely Extensive and merely Intensive magnitudes, just as little as there are merely continuous and merely discrete magnitudes. The two characteristics of quantity are not opposed as independent kinds. Every Intensive magnitude is also Extensive, andvice versâ.Thus a certain degree of temperature is an Intensive magnitude, which has a perfectly simple sensation corresponding to it as such. If we look at a thermometer, we find this degree of temperature has a certain expansion of the column of mercury corresponding to it; which Extensive magnitude changes simultaneously with the temperature or Intensive magnitude. The case is similar in the world of mind: a more intensive character has a wider range with its effects than a less intensive.
104.] In Degree the notion of quantum is explicitly put. It is magnitude as indifferent on its own account and simple: but in such a way that the character (or modal being) which makes it a quantum lies quite outside it in other magnitudes. In this contradiction, where theindependentindifferent limit is absoluteexternality,theInfinite Quantitative Progressionis madeexplicit—an immediacy which immediately veers round into its counterpart, into mediation (the passing beyond and over the quantum just laid down), andvice versâ.
Number is a thought, but thought in its complete self-externalisation. Because it is a thought, it does not belong to perception: but it is a thought which is characterised by the externality of perception.—Not only thereforemaythe quantum be increased or diminished without end: the very notion of quantum is thus to push out and out beyond itself. The infinite quantitative progression is only the meaningless repetition of one and the same contradiction, which attaches to the quantum, both generally and, when explicitly invested with its special character, as degree. Touching the futility of enunciating this contradiction in the form of infinite progression, Zeno, as quoted by Aristotle, rightly says, 'It is the same to say a thing once, and to say it for ever.'
(1) If we follow the usual definition of the mathematicians, given in § 99, and say that magnitude is what can be increased or diminished, there may be nothing to urge against the correctness of the perception on which it is founded; but the question remains, how we come to assume such a capacity of increase or diminution. If we simply appeal for an answer to experience, we try an unsatisfactory course; because apart from the fact that we should merely have a material image of magnitude, and not the thought of it, magnitude would come out as a bare possibility (of increasing or diminishing) and we should have no key to the necessity for its exhibiting this behaviour. In the way of our logical evolution, on the contrary, quantity is obviously a grade the process of self-determining thought; and it has been shown that it lies in the very notion of quantity to shoot out beyond itself. In that way, the increase or diminution (of which we have heard) is not merely possible, but necessary.
(2) The quantitative infinite progression is what the reflective understanding usually relies upon when it is engaged with the general question of Infinity. The same thing however holds good of this progression, as was already remarked on the occasion of the qualitatively, infinite progression. As was then said, it is not the expression of a true, but of a wrong infinity; it never gets further than a bare 'ought,' and thus really remains within the limits of finitude. The quantitative form of this infinite progression, which Spinoza rightly calls a mere imaginary infinity (infinitum imaginationis,) is an image often employed by poets, such as Haller and Klopstock, to depict the infinity, not of Nature merely, but even of God Himself. Thus we find Haller, in a famous description of God's infinity, saying:
Ich häufe ungeheure Zahlen,Gebirge Millionen auf,Ich sesse Zeit auf ZeitUnd Welt auf Welt zu Hauf,Und wenn ich von der grausen Höh'Mit Schwindel wieder nach Dir seh:Ist alle Macht der Zahl,Vermehrt zu Tausendmal,Noch nicht ein Theil von Dir.
[I heap up monstrous numbers, mountains of millions; I pile time upon time, and world on the top of world; and when from the awful height I cast a dizzy look towards Thee, all the power of number, multiplied a thousand times, is not yet one part of Thee.]
Here then we meet, in the first place, that continual extrusion of quantity, and especially of number, beyond itself, which Kant describes as 'eery.' The only really 'eery' thing about it is the wearisomeness of ever fixing, and anon unfixing a limit, without advancing a single step. The same poet however well adds to that description of false infinity the closing line:
Ich zieh sie ab, und Du liegst ganz vor mir.
[These I remove, and Thou liest all before me.]
Which means, that the true infinite is more than a mere world beyond the finite, and that we, in order to become conscious of it, must renounce thatprogressus in infinitum.
(3) Pythagoras, as is well known, philosophised in numbers, and conceived number as the fundamental principle of things. To the ordinary mind this view must at first glance seem an utter paradox, perhaps a mere craze. What, then, are we to think of it? To answer this question, we must, in the first place, remember that the problem of philosophy consists in tracing back things to thoughts, and, of course, to definite thoughts. Now, number is undoubtedly a thought: it is the thought nearest the sensible, or, more precisely expressed, it is the thought of the sensible itself, if we take the sensible to mean what is many, and in reciprocal exclusion. The attempt to apprehend the universe as number is therefore the first step to metaphysics. In the history of philosophy, Pythagoras, as we know, stands between the Ionian philosophers and the Eleatics. While the former, as Aristotle says, never get beyond viewing the essence of things as material (ὕλη), and the latter, especially Parmenides, advanced as far as pure thought, in the shape of Being, the principle of the Pythagorean philosophy forms, as it were, the bridge from the sensible to the super-sensible.
We may gather from this, what is to be said of those who suppose that Pythagoras undoubtedly went too far, when he conceived the essence of things as mere number. It is true, they admit, that we can number things; but, they contend, things are far more than mere numbers. But in what respect are they more? The ordinary sensuous consciousness, from its own point of view, would not hesitate to answer the question by handing us over to sensuous perception, and remarking, that things are not merely numerable, but also visible, odorous, palpable, &c. In the phrase of modern times, the fault of Pythagoras would be described as an excess of idealism. As may be gathered from what has been said on the historical position of the Pythagorean school, the real state of the case is quite the reverse. Let it be conceded that things are more than numbers; but the meaning of that admission must be that the barethought of number is still insufficient to enunciate the definite notion or essence of things. Instead, then, of saying that Pythagoras went too far with his philosophy of number, it would be nearer the truth to say that he did not go far enough; and in fact the Eleatics were the first to take the further step to pure thought.
Besides, even if there are not things, there are states of things, and phenomena of nature altogether, the character of which mainly rests on definite numbers and proportions. This is especially the case with the difference of tones and their harmonic concord, which, according to a well-known tradition, first suggested to Pythagoras to conceive the essence of things as number. Though it is unquestionably important to science to trace back these phenomena to the definite numbers on which they are based, it is wholly inadmissible to view the characterisation by thought as a whole, as merely numerical. We may certainly feel ourselves prompted to associate the most general characteristics of thought with the first numbers: saying, 1 is the simple and immediate; 2 is difference and mediation; and 3 the unity of both of these. Such associations however are purely external: there is nothing in the mere numbers to make them express these definite thoughts. With every step in this method, the more arbitrary grows the association of definite numbers with definite thoughts. Thus, we may view 4 as the unity of 1 and 3, and of the thoughts associated with them, but 4 is just as much the double of 2; similarly 9 is not merely the square of 3, but also the sum of 8 and I, of 7 and 2, and so on. To attach, as do some secret societies of modern times, importance to all sorts of numbers and figures, is to some extent an innocent amusement, but it is also a sign of deficiency of intellectual resource. These numbers, it is said, conceal a profound meaning, and suggest a deal to think about. But the point in philosophy is, not what you may think, but what you do think: and the genuine air of thought is to be sought in thought itself, and not in arbitrarily selected symbols.
105.] That the Quantum in its independent character is external to itself, is what constitutes its quality. Inthat externality it is itself and referred connectively to itself. There is a union in it of externality,i.e.the quantitative, and of independency (Being-for-self),—the qualitative. The Quantum when explicitly put thus in its own self, is theQuantitative Ratio, a mode of being which, while, in its Exponent, it is an immediate quantum, is also mediation, viz. the reference of some one quantum to another, forming the two sides of the ratio. But the two quanta are not reckoned at their immediate value: their value is only in this relation.
The quantitative infinite progression appears at first as a continual extrusion of number beyond itself. On looking closer, it is, however, apparent that in this progression quantity returns to itself: for the meaning of this progression, so far as thought goes, is the fact that number is determined by number. And this gives the quantitative ratio. Take, for example, the ratio 2:4. Here we have two magnitudes (not counted in their several immediate values) in which we are only concerned with their mutual relations. This relation of the two terms (the exponent of the ratio) is itself a magnitude, distinguished from the related magnitudes by this, that a change in it is followed by a change of the ratio, whereas the ratio is unaffected by the change of both its sides, and remains the same so long as the exponent is not changed. Consequently, in place of 2:4, we can put 3:6 without changing the ratio; as the exponent 2 remains the same in both cases.
106.] The two sides of the ratio are still immediate quanta: and the qualitative and quantitative characteristics still external to one another. But in their truth, seeing that the quantitative itself in its externality is relation to self, or seeing that the independence and the indifference of the character are combined, it isMeasure.
Thus quantity by means of the dialectical movement so far studied through its several stages, turns out to be a return toquality. The first notion of quantity presented to us was that of quality abrogated and absorbed. That is to say, quantity seemed an external character not identical with Being, to which it is quite immaterial. This notion, as we have seen, underlies the mathematical definition of magnitude as what can be increased or diminished. At first sight this definition may create the impression that quantity is merely whatever can be altered:—increase and diminution alike implying determination of magnitude otherwise—and may tend to confuse it with determinate Being, the second stage of quality, which in its notion is similarly conceived as alterable. We can, however, complete the definition by adding, that in quantity we have an alterable, which in spite of alterations still remains the same. The notion of quantity, it thus turns out, implies an inherent contradiction. This, contradiction is what forms the dialectic of quantity. The result of the dialectic however is not a mere return to quality, as if that were the true and quantity the false notion, but an advance to the unity and truth of both, to qualitative quantity, or Measure.
It may be well therefore at this point to observe that whenever in our study of the objective world we are engaged in quantitative determinations, it is in all cases Measure which we have in view, as the goal of our operations. This is hinted at even in language, when the ascertainment of quantitative features and relations is called measuring. We measure,e.g.the length of different chords that have been put into a state of vibration, with an eye to the qualitative difference of the tones caused by their vibration, corresponding to this difference of length. Similarly, in chemistry, we try to ascertain the quantity of the matters brought into combination, in order to find out the measures or proportions conditioning such combinations, that is to say, those quantities which give rise to definite qualities. In statistics, too, the numbers with which the study is engaged are important only from the qualitative results conditioned by them. Mere collection of numerical facts, prosecuted without regard to the ends here noted, is justly called an exercise of idle curiosity, of neither theoretical nor practical interest.
107.]Measureis the qualitative quantum, in the first place as immediate,—a quantum, to which a determinate being or a quality is attached.
Measure, where quality and quantity are in one, is thus the completion of Being. Being, as we first apprehend it, is something utterly abstract and characterless: but it is the very essence of Being to characterise itself, and its complete characterisation is reached in Measure. Measure, like the other stages of Being, may serve as a definition of the Absolute: God, it has been said, is the Measure of all things. It is this idea which forms the ground-note of many of the ancient Hebrew hymns, in which the glorification of God tends in the main to show that He has appointed to everything its bound: to the sea and the solid land, to the rivers and mountains; and also to the various kinds of plants and animals. To the religious sense of the Greeks the divinity of measure, especially in respect of social ethics, was represented by Nemesis. That conception implies a general theory that all human things, riches, honour, and power, as well as joy and pain, have their definite measure, the transgression of which brings ruin and destruction. In the world of objects, too, we have measure. We see, in the first place, existences in Nature, of which measure forms the essential structure. This is the case, for example, with the solar system, which may be described as the realm of free measures. As we next proceed to the study of inorganic nature, measure retires, as it were, into the background; at least we often find the quantitative and qualitative characteristics showing indifference to each other. Thus the quality of a rock or a river is not tied to a definite magnitude. But even these objects when closely inspected are found not to be quite measureless: the water of a river, and the single constituents of a rock, when chemically analysed, are seen to be qualities conditioned by quantitative ratios between the matters they contain. In organic nature, however, measure again rises full into immediate perception.The various kinds of plants and animals, in the whole as well as in their parts, have a certain measure: though it is worth noticing that the more imperfect forms, those which are least removed from inorganic nature, are partly distinguished from the higher forms by the greater indefiniteness of their measure. Thus among fossils, we find some ammonites discernible only by the microscope, and others as large as a cart-wheel. The same vagueness of measure appears in several plants, which stand on a low level of organic development,—for instance, ferns.
108.] In so far as in Measure quality and quantity are only inimmediateunity, to that extent their difference presents itself in a manner equally immediate. Two cases are then possible. Either the specific quantum or measure is a bare quantum, and the definite being (there-and-then) is capable of an increase or a diminution, without Measure (which to that extent is a Rule) being thereby set completely aside. Or the alteration of the quantum is also an alteration of the quality.
The identity between quantity and quality, which is found in Measure, is at first only implicit, and not yet explicitly realised. In other words, these two categories, which unite in Measure, each claim an independent authority. On the one hand, the quantitative features of existence may be altered, without affecting its quality. On the other hand, this increase and diminution, immaterial though it be, has its limit, by exceeding which the quality suffers change. Thus the temperature of water is, in the first place, a point of no consequence in respect of its liquidity: still with the increase or diminution of the temperature of the liquid water, there comes a point where this state of cohesion suffers a qualitative change, and the water is converted into steam or ice. A quantitative change takes place, apparently without any further significance: but there is something lurking behind, and a seemingly innocent change of quantity acts as a kind of snare, to catch hold of the quality. The antinomyof Measure which this implies was exemplified under more than one garb among the Greeks. It was asked, for example, whether a single grain makes a heap of wheat, or whether it makes a bald-tail to tear out a single hair from the horse's tail. At first, no doubt, looking at the nature of quantity as an indifferent and external character of Being, we are disposed to answer these questions in the negative. And yet, as we must admit, this indifferent increase and diminution has its limit: a point is finally reached, where a single additional grain makes a heap of wheat; and the bald-tail is produced, if we continue plucking out single hairs. These examples find a parallel in the story of the peasant who, as his ass trudged cheerfully along, went on adding ounce after ounce to its load, till at length it sunk under the unendurable burden. It would be a mistake to treat these examples as pedantic futility; they really turn on thoughts, an acquaintance with which is of great importance in practical life, especially in ethics. Thus in the matter of expenditure, there is a certain latitude within which a more or less does not matter; but when the Measure, imposed by the individual circumstances of the special case, is exceeded on the one side or the other, the qualitative nature of Measure (as in the above examples of the different temperature of water) makes itself felt, and a course, which a moment before was held good economy, turns into avarice or prodigality. The same principle may be applied in politics, when the constitution of a state has to be looked at as independent of, no less than as dependent on, the extent of its territory, the number of its inhabitants, and other quantitative points of the same kind. If we looke.g.at a state with a territory of ten thousand square miles and a population of four millions, we should, without hesitation, admit that a few square miles of land or a few thousand inhabitants more or less could exercise no essential influence on the character of its constitution. But, on the other hand, we must not forget, that by the continual increase or diminishing of a state, we finally get to a point where, apart from all other circumstances, this quantitative alteration alone necessarily draws with it an alteration in the quality of the constitution. The constitution of a little Swisscanton does not suit a great kingdom; and, similarly, the constitution of the Roman republic was unsuitable when transferred to the small imperial towns of Germany.
109.] In this second case, when a measure through its quantitative nature has gone in excess of its qualitative character, we meet, what is at first an absence of measure, theMeasureless. But seeing that the second quantitative ratio, which in comparison with the first is measureless, is none the less qualitative, the measureless is also a measure. These two transitions, from quality to quantum, and from the latter back again to quality, may be represented under the image of an infinite progression—as the self-abrogation and restoration of measure in the measureless.
Quantity, as we have seen, is not only capable of alteration,i.e.of increase or diminution: it is naturally and necessarily a tendency to exceed itself. This tendency is maintained even in measure. But if the quantity present in measure exceeds a certain limit, the quality corresponding to it is also put in abeyance. This however is not a negation of quality altogether, but only of this definite quality, the place of which is at once occupied by another. This process of measure, which appears alternately as a mere change in quantity, and then as a sudden revulsion of quantity into quality, may be envisaged under the figure of a nodal (knotted) line. Such lines we find in Nature under a variety of forms. We have already referred to the qualitatively different states of aggregation water exhibits under increase or diminution of temperature. The same phenomenon is presented by the different degrees in the oxidation of metals. Even the difference of musical notes may be regarded as an example of what takes place in the process of measure,—the revulsion from what is at first merely quantitative into qualitative alteration.
110.] What really takes place here is that the immediacy, which still attaches to measure as such, is set aside. In measure, at first, quality and quantity itselfare immediate, and measure is only their 'relative' identity. But measure shows itself absorbed and superseded in the measureless: yet the measureless, although it be the negation of measure, is itself a unity of quantity and quality. Thus in the measureless the measure is still seen to meet only with itself.
111.] Instead of the more abstract factors, Being and Nothing, some and other, &c., the Infinite, which is affirmation as a negation of negation, now finds its factors in quality and quantity. These (α) have in the first place passed over, quality into quantity, (§ 98), and quantity into quality (§ 105), and thus are both shown up as negations, (ß) But in their unity, that is, in measure, they are originally distinct, and the one is only through the instrumentality of the other. And (γ) after the immediacy of this unity has turned out to be self-annulling, the unity is explicitly put as what it implicitly is, simple relation-to-self, which contains in it being and all its forms absorbed.—Being or immediacy, which by the negation of itself is a mediation with self and a reference to self,—which consequently is also a mediation which cancels itself into reference-to-self, or immediacy,—is Essence.
The process of measure, instead of being only the wrong infinite of an endless progression, in the shape of an ever-recurrent recoil from quality to quantity, and from quantity to quality, is also the true infinity of coincidence with self in another. In measure, quality and quantity originally confront each other, like some and other. But quality is implicitly quantity, and conversely quantity is implicitly quality. In the process of measure, therefore, these two pass into each other: each of them becomes what it already was implicitly: and thus we get Being thrown into abeyance and absorbed, with its several characteristics negatived. Such Being is Essence. Measure is implicitly Essence; and its process consists in realising what it is implicitly.—The ordinary consciousnessconceives things as being, and studies them in quality, quantity, and measure. These immediate characteristics however soon show themselves to be not fixed but transient; and Essence is the result of their dialectic. In the sphere of Essence one category does not pass into another, but refers to another merely. In Being, the form of reference is purely due to our reflection on what takes place: but it is the special and proper characteristic of Essence. In the sphere of Being, when somewhat becomes another, the somewhat has vanished. Not so in Essence: here there is no real other, but only diversity, reference of the one toitsother. The transition of Essence is therefore at the same time no transition: for in the passage of different into different, the different does not vanish: the different terms remain in their relation. When we speak of Being and Nought, Being is independent, so is Nought. The case is otherwise with the Positive and the Negative. No doubt these possess the characteristic of Being and Nought. But the positive by itself has no sense; it is wholly in reference to the negative. And it is the same with the negative. In the sphere of Being the reference of one term to another is only implicit; in Essence on the contrary it is explicit And this in general is the distinction between the forms of Being and Essence: in Being everything is immediate, in Essence everything is relative.
112.] The terms inEssenceare always mere pairs of correlatives, and not yet absolutely reflected in themselves: hence in essence the actual unity of the notion is not realised, but only postulated by reflection. Essence,—which is Being coming into mediation with itself through the negativity of itself—is self-relatedness, only in so far as it is relation to an Other,—this Other however coming to view at first not as something whichis,but as postulated and hypothetised.—Being has not vanished: but, firstly, Essence, as simple self-relation, is Being, and secondly as regards its one-sided characteristic of immediacy, Being is deposed to a mere negative, to a seeming or reflected light—Essence accordingly is Being thus reflecting light into itself.
The Absolute is the Essence. This is the same definition as the previous one that the Absolute is Being, in so far as Being likewise is simple self-relation. But it is at the same time higher, because Essence is Being that has gone into itself: that is to say, the simple self-relation (in Being) is expressly put as negation of the negative, as immanent self-mediation.—Unfortunately when the Absolute is defined to be the Essence, the negativity which this implies is often taken only to mean the withdrawal of all determinate predicates. Thisnegative action of withdrawal or abstraction thus falls outside of the Essence—which is thus left as a mere result apart from its premisses,—thecaput mortuumof abstraction. But as this negativity, instead of being external to Being, is its own dialectic, the truth of the latter, viz. Essence, will be Being as retired within itself,—immanent Being. That reflection, or light thrown into itself, constitutes the distinction between Essence and immediate Being, and is the peculiar characteristic of Essence itself.
Any mention of Essence implies that we distinguish it from Being: the latter is immediate, and, compared with the Essence, we look upon it as mere seeming. But this seeming is not an utter nonentity and nothing at all, but Being superseded and put by. The point of view given by the Essence is in general the standpoint of 'Reflection.' This word 'reflection' is originally applied, when a ray of light in a straight line impinging upon the surface of a mirror is thrown back from it. In this phenomenon we have two things,—first an immediate fact which is, and secondly the deputed, derivated, or transmitted phase of the same.—Something of this sort takes place when we reflect, or think upon an object; for here we want to know the object, not in its immediacy, but as derivative or mediated. The problem or aim of philosophy is often represented as the ascertainment of the essence of things: a phrase which only means that things instead of being left in their immediacy, must be shown to be mediated by, or based upon, something else. The immediate Being of things is thus conceived under the image of a rind or curtain behind which the Essence lies hidden.
Everything, it is said, has an Essence; that is, things really are not what they immediately show themselves. There is therefore something more to be done than merely rove from one quality to another, and merely to advance from qualitative to quantitative, andvice versâ:there is a permanent in things, and that permanent is in the firstinstance their Essence. With respect to other meanings and uses of the category of Essence, we may note that in the German auxiliary verb'sein'the past tense is expressed by the term for Essence (Wesen): we designate past being asgewesen.This anomaly of language implies to some extent a correct perception of the relation between Being and Essence. Essence we may certainly regard as past Being, remembering however meanwhile that the past is not utterly denied, but only laid aside and thus at the same time preserved. Thus, to say, Caesarwasin Gaul, only denies the immediacy of the event, but not his sojourn in Gaul altogether. That sojourn is just what forms the import of the proposition, in which however it is represented as over and gone.—'Wesen' in ordinary life frequently means only a collection or aggregate: Zeitungswesen (the Press), Postwesen (the Post-Office), Steuerwesen (the Revenue). All that these terms mean is that the things in question are not to be taken single, in their immediacy, but as a complex, and then, perhaps, in addition, in their various bearings. This usage of the term is not very different in its implication from our own.
People also speak offiniteEssences, such as man. But the very term Essence implies that we have made a step beyond finitude: and the title as applied to man is so far inexact. It is often added that there is a supreme Essence (Being): by which is meant God. On this two remarks may be made. In the first place the phrase 'there is' suggests a finite only: as when we say, there are so many planets, or, there are plants of such a constitution and plants of such an other. In these cases we are speaking of something which has other things beyond and beside it. But God, the absolutely infinite, is not something outside and beside whom there are other essences. All else outside f God, if separated from Him, possesses no essentiality: in its I isolation it becomes a mere show or seeming, without stay or essence of its own. But, secondly, it is a poor way of talking to call God thehighestor supreme Essence. The category of quantity which the phrase employs has its proper place within the compass of the finite. When we call one mountain the highest on the earth, we have a vision of other highmountains beside it. So too when we call any one the richest or most learned in his country. But God, far from beingaBeing, even the highest, istheBeing. This definition, however, though such a representation of God is an important and necessary stage in the growth of the religious consciousness, does not by any means exhaust the depth of the ordinary Christian idea of God. If we consider God as the Essence only, and nothing more, we know Him only as the universal and irresistible Power; in other words, as the Lord. Now the fear of the Lord is, doubtless, the beginning,—butonlythe beginning, of wisdom. To look at God in this light, as the Lord, and the Lord alone, is especially characteristic of Judaism and also of Mohammedanism. The defect of these religions lies in their scant recognition of the finite, which, be it as natural things or as finite phases of mind, it is characteristic of the heathen and (as they also for that reason are) polytheistic religions to maintain intact. Another not uncommon assertion is that God, as the supreme Being, cannot be known. Such is the view taken by modern 'enlightenment' and abstract understanding, which is content to say,Il y a un être suprême: and there lets the matter rest. To speak thus, and treat God merely as the supreme other-world Being, implies that we look upon the world before us in its immediacy as something permanent and positive, and forget that true Being is just the superseding of all that is immediate. If God be the abstract super-sensible Being, outside whom therefore lies all difference and all specific character, He is only a bare name, a merecaput mortuumof abstracting understanding. The true knowledge of God begins when we know that things, as they immediately are, have no truth.
In reference also to other subjects besides God the category of Essence is often liable to an abstract use, by which, in the study of anything, its Essence is held to be something unaffected by, and subsisting in independence of, its definite phenomenal embodiment. Thus we say, for example, of people, that the great thing is not what they do or how they behave, but what they are. This is correct, if it means that a man's conduct should be looked at, not in its immediacy, but onlyas it is explained by his inner self, and as a revelation of that inner self. Still it should be remembered that the only means by which the Essence and the inner self can be verified, is their appearance in outward reality; whereas the appeal which men make to the essential life, as distinct from the material facts of conduct, is generally prompted by a desire to assert their own subjectivity and to elude an absolute and objective judgment.
113.] Self-relation in Essence is the form of Identity or of reflection-into-self, which has here taken the place of the immediacy of Being. They are both the same abstraction,—self-relation.
The unintelligence of sense, to take everything limited and finite for Being, passes into the obstinacy of understanding, which views the finite as self-identical, not inherently self-contradictory.
114.] This identity, as it has descended from Being, appears in the first place only charged with the characteristics of Being, and referred to Being as to something external. This external Being, if taken in separation from the true Being (of Essence), is called theUnessential. But that turns out a mistake. Because Essence is Being-in-self, it is essential only to the extent that it has in itself its negative,e.reference to another, or mediation. Consequently, it has the unessential as its own proper seeming (reflection) in itself. But in seeming or mediation there is distinction involved: and since what is distinguished (as distinguished from the identity out of which it arises, and in which it is not, or lies as seeming,) receives itself the form of identity, the semblance is still in the mode of Being, or of self-related immediacy. The sphere of Essence thus turns out to be a still imperfect combination of immediacy and mediation. In it every term is expressly invested with the character of self-relatedness, while yet at the same time one is forcedbeyond it. It has Being,—reflected being, a being in which another shows, and which shows in another. And so it is also the sphere in which the contradiction, still implicit in the sphere of Being, is made explicit.
As the one notion is the common principle underlying all logic, there appear in the development of Essence the same attributes or terms as in the development of Being, but in a reflex form. Instead of Being and Nought we have now the forms of Positive and Negative; the former at first as Identity corresponding to pure and uncontrasted Being, the latter developed (showing in itself) as Difference. So also, we have Becoming represented by the Ground of determinate Being: which itself, when reflected upon the Ground, is Existence.
The theory of Essence is the most difficult branch of Logic. It includes the categories of metaphysic and of the sciences in general. These are products of reflective understanding, which, while it assumes the differences to possess a footing of their own, and at the same time also expressly affirms their relativity, still combines the two statements, side by side, or one after the other, by an 'Also,' without bringing these thoughts into one, or unifying them into the notion.