Chapter IX: Third Sub-Division of Logic (4)

Division we are told ought to be complete. That requires a principle or ground of division so constituted, that the division based upon it embraces the whole extent of the region designated by the definition in general. But, in division, there is the further requirement that the principle of it must be borrowed from the nature of the object in question. If this condition be satisfied, the division is natural and not merely artificial, that is to say, arbitrary. Thus, in zoology, the ground of division adopted in the classification of the mammalia is mainly afforded by their teeth and claws. That is so far sensible, as the mammals themselves distinguish themselves from one another by these parts of their bodies; back to which therefore the general type of their various classes is to be traced. In every case the genuine division must be controlled by the notion. To that extent a division, in the first instance, has three members: but as particularity exhibits itself as double, the division may go to the extent even of four members. In the sphere of mind trichotomy is predominant, a circumstance which Kant has the credit of bringing into notice.

231.] (γ) In the concrete individuality, where the mere unanalysed quality of the definition is regarded as a correlation of elements, the object is a synthetical nexus of distinct characteristics. It is a Theorem. Being different, these characteristics possess but a mediated identity. To supply the materials, which form the middle terms, is the office of Construction: and the process of mediation itself, from which cognition derives the necessity of that nexus, is the Demonstration.

As the difference between the analytical and synthetical methods is commonly stated, it seems entirely optional which of the two we employ. If we assume, to start with, the concrete thing which the synthetic method presents as a result, we can analyse from it as consequences the abstract propositions which formed the pre-suppositions and the material for the proof. Thus, algebraical definitions of curved lines are theorems in the method of geometry. Similarly even the Pythagorean theorem, if made the definition of a right-angled triangle, might yield to analysis those propositions which geometry had already demonstrated on its behoof. The optionalness of either method is due to both alike starting from an external pre-supposition. So far as the nature of the notion is concerned, analysis is prior; since it has to raise the given material with its empirical concreteness into the form of general abstractions, which may then be set in the front of the synthetical method as definitions.

That these methods, however indispensable and brilliantly successful in their own province, are unserviceable for philosophical cognition, is self-evident. They have pre-suppositions; and their style of cognition is that of understanding, proceeding under the canon of formal identity. In Spinoza, who was especially addicted to the use of the geometrical method, we are at once struck by its characteristic formalism. Yet his ideas were speculative in spirit; whereas the system of Wolf, who carried the method out to the height of pedantry, was even in subject-matter a metaphysic of the understanding. The abuses which these methods with their formalism once led to in philosophy and science have in modern times been followed by the abuses of what is called 'Construction.' Kant brought into vogue the phrase that mathematics 'construes' its notions. All that was meant by the phrase was that mathematics has not to do with notions, but with abstract qualities of sense-perceptions. The name 'Construction (_construing_) of notions' has since been given to a sketch or statement of sensible attributes which were picked up from perception, quite guiltless of any influence of the notion, and to the additional formalism of classifying scientific and philosophical objects in a tabular form on some pre-supposed rubric, but in other respects at the fancy and discretion of the observer. In the background of all this, certainly, there is a dim consciousness of the Idea, of the unity of the notion and objectivity,--a consciousness, too, that the idea is concrete. But that play of what is styled 'construing' is far from presenting this unity adequately--a unity which is none other than the notion properly so called: and the sensuous concreteness of perception is as little the concreteness of reason and the idea.

Another point calls for notice. Geometry works with the sensuous but abstract perception of space; and in space it experiences no difficulty in isolating and defining certain simple analytic modes. To geometry alone therefore belongs in its perfection the synthetical method of finite cognition. In its course, however (and this is the remarkable point), it finally stumbles upon what are termed irrational and incommensurable quantities; and in their case any attempt at further specification drives it beyond the principle of the understanding. This is only one of many instances in terminology, where the title rational is perversely applied to the province of understanding, while we stigmatise as irrational that which shows a beginning and a trace of rationality. Other sciences, removed as they are from the simplicity of space or number, often and necessarily reach a point where understanding permits no further advance: but they get over the difficulty without trouble. They make a break in the strict sequence of their procedure, and assume whatever they require, though it be the reverse of what preceded, from some external quarter,--opinion, perception, conception or any other source. Its inobservancy as to the nature of its methods and their relativity to the subject-matter prevents this finite cognition from seeing that, when it proceeds by definitions and divisions, &c., it is really led on by the necessity of the laws of the notion. For the same reason it cannot see when it has reached its limit; nor, if it have transgressed that limit, does it perceive that it is in a sphere where the categories of understanding, which it still continues rudely to apply, have lost all authority.

232.] The necessity, which finite cognition produces in the Demonstration, is, in the first place, an external necessity, intended for the subjective intelligence alone. But in necessity as such, cognition itself has left behind its presupposition and starting-point, which consisted in accepting its content as given or found. Necessity _quâ_ necessity is implicitly the self-relating notion. The subjective idea has thus implicitly reached an original and objective determinateness,--a something not-given, and for that reason immanent in the subject. It has passed over into the idea of Will.

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The necessity which cognition reaches by means of the demonstration is the reverse of what formed its starting-point. In its starting-point cognition had a given and a contingent content; but now, at the close of its movement, it knows its content to be necessary. This necessity is reached by means of subjective agency. Similarly, subjectivity at starting was quite abstract, a bare _tabula rasa._ It now shows itself as a modifying and determining principle. In this way we pass from the idea of cognition to that of will. The passage, as will be apparent on a closer examination, means that the universal, to be truly apprehended, must be apprehended as subjectivity, as a notion self-moving, active, and form-imposing.

(ß) _Volition._

233.] The subjective idea as original and objective determinateness, and as a simple uniform content, is the Good. Its impulse towards self-realisation is in its behaviour the reverse of the idea of truth, and rather directed towards moulding the world it finds before it into a shape conformable to its purposed End.--This Volition has, on the one hand, the certitude of the nothingness of the pre-supposed object; but, on the other, as finite, it at the same time pre-supposes the purposed End of the Good to be a mere subjective idea, and the object to be independent.

234.] This action of the Will is finite: and its finitude lies in the contradiction that in the inconsistent terms applied to the objective world the End of the Good is just as much not executed as executed,--the end in question put as unessential as much as essential,--as actual and at the same, time as merely possible. This contradiction presents itself to imagination as an endless progress in the actualising of the Good; which is therefore set up and fixed as a mere 'ought,' or goal of perfection. In point of form however this contradiction vanishes when the action supersedes the subjectivity of the purpose, and along with it the objectivity, with the contrast which makes both finite; abolishing subjectivity as a whole and not merely the one-sidedness of this form of it. (For another new subjectivity of the kind, that is, a new generation of the contrast, is not distinct from that which is supposed to be past and gone.) This return into itself is at the same time the content's own 'recollection' that it is the Good and the implicit identity of the two sides,--it is a 'recollection' of the pre-supposition of the theoretical attitude of mind (§ 224) that the objective world is its own truth and substantiality.

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While Intelligence merely proposes to take the world as it is, Will takes steps to make the world what it ought to be. Will looks upon the immediate and given present not as solid being, but as mere semblance without reality. It is here that we meet those contradictions which are so bewildering from the standpoint of abstract morality. This position in its 'practical' bearings is the one taken by the philosophy of Kant, and even by that of Fichte. The Good, say these writers, has to be realised: we have to work in order to produce it: and Will is only the Good actualising itself. If the world then were as it ought to be, the action of Will would be at an end. The Will itself therefore requires that its End should not be realised. In these words, a correct expression is given to the _finitude_ of Will. But finitude was not meant to be the ultimate point: and it is the process of Will itself which abolishes finitude and the contradiction it involves. The reconciliation is achieved, when Will in its result returns to the pre-supposition made by cognition. In other words, it consists in the unity of the theoretical and practical idea. Will knows the end to be its own, and Intelligence apprehends the world as the notion actual. This is the right attitude of rational cognition. Nullity and transitoriness constitute only the superficial features and not the real essence of the world. That essence is the notion in _posse_ and in _esse:_ and thus the world is itself the idea. All unsatisfied endeavour ceases, when we recognise that the final purpose of the world is accomplished no less than ever accomplishing itself. Generally speaking, this is the man's way of looking; while the young imagine that the world is utterly sunk in wickedness, and that the first thing needful is a thorough transformation. The religious mind, on the contrary, views the world as ruled by Divine Providence, and therefore correspondent with what it ought to be. But this harmony between the 'is' and the 'ought to be' is not torpid and rigidly stationary. Good, the final end of the world, has being, only while it constantly produces itself. And the world of spirit and the world of nature continue to have this distinction, that the latter moves only in a recurring cycle, while the former certainly also makes progress.

235.] Thus the truth of the Good is laid down as the unity of the theoretical and practical idea in the doctrine that the Good is radically and really achieved, that the objective world is in itself and for itself the Idea, just as it at the same time eternally lays itself down as End, and by action brings about its actuality. This life which has returned to itself from the bias and finitude of cognition, and which by the activity of the notion has become identical with it, is the Speculative or Absolute Idea.

(c) _The Absolute Idea._

236.] The Idea, as unity of the Subjective and Objective Idea, is the notion of the Idea,--a notion whose object (_Gegenstand_) is the Idea as such, and for which the objective (_Objekt_) is Idea,--an Object which embraces all characteristics in its unity. This unity is consequently I the absolute and all truth, the Idea which thinks itself,--and here at least as a thinking or Logical Idea.

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The Absolute Idea is, in the first place, the unity of the theoretical and practical idea, and thus at the same time the unity of the idea of life with the idea of cognition. In cognition we had the idea in a biassed, one-sided shape. The process of cognition has issued in the overthrow of this bias and the restoration of that unity, which as unity, and in its immediacy, is in the first instance the Idea of Life. The defect of life lies in its being only the idea implicit or natural: whereas cognition is in an equally one-sided way the merely conscious idea, or the idea for itself. The unity and truth of these two is the Absolute Idea, which is both in itself and for itself. Hitherto _we_ have had the idea in development through its various grades as _our_ object, but now the idea comes to be its _own object._ This is the νόησις νοήσεως which Aristotle long ago termed the supreme form of the idea.

237.] Seeing that there is in it no transition, or presupposition, and in general no specific character other than what is fluid and transparent, the Absolute Idea is for itself the pure form of the notion, which contemplates its content as its own self. It is its own content, in so far as it ideally distinguishes itself from itself, and the one of the two things distinguished is a self-identity in which however is contained the totality of the form as the system of terms describing its content. This content is the system of Logic. All that is at this stage left as form for the idea is the Method of this content,--the specific consciousness of the value and currency of the 'moments' in its development.

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To speak of the absolute idea may suggest the conception that we are at length reaching the right thing and the sum of the whole matter. It is certainly possible to indulge in a vast amount of senseless declamation about the idea absolute. But its true content is only the whole system of which we have been hitherto studying the development. It may also be said in this strain that the absolute idea is the universal, but the universal not merely as an abstract form to which the particular content is a stranger, but as the absolute form, into which all the categories, the whole fullness of the content it has given being to, have retired. The absolute idea may in this respect be compared to the old man who utters the same creed as the child, but for whom it is pregnant with the significance of a lifetime. Even if the child understands the truths of religion, he cannot but imagine them to be something outside of which lies the whole of life and the whole of the world. The same may be said to be the case with human life as a whole and the occurrences with which it is fraught. All work is directed only to the aim or end; and when it is attained, people are surprised to find nothing else but just the very thing which they had wished for. The interest lies in the whole movement. When a man traces up the steps of his life, the end may appear to him very restricted: but in it the whole _decursus vitae_ is comprehended. So, too, the content of the absolute idea is the whole breadth of ground which has passed under our view up to this point. Last of all comes the discovery that the whole evolution is what constitutes the content and the interest. It is indeed the prerogative of the philosopher to see that everything, which, taken apart, is narrow and restricted, receives its value by its connexion with the whole, and by forming an organic element of the idea. Thus it is that we have had the content already, and what we have now is the knowledge that the content is the living development of the idea. This simple retrospect is contained in the _form_ of the idea. Each of the stages hitherto reviewed is an image of the absolute, but at first in a limited mode, and thus it is forced onwards to the whole, the evolution of which is what we termed Method.

238.] The several steps or stages of the Speculative Method are, first of all, (a) the Beginning, which is Being or Immediacy: self-subsistent, for the simple reason that it is the beginning. But looked at from the speculative idea, Being is its self-specialising act, which as the absolute negativity or movement of the notion makes a judgment and puts itself as its own negative. Being, which to the beginning as beginning seems mere abstract affirmation, is thus rather negation, dependency, derivation, and pre-supposition. But it is the notion, of which Being is the negation: and the notion is completely self-identical in its otherness, and is the certainty of itself. Being therefore is the notion implicit, before it has been explicitly put as a notion. This Being therefore, as the still unspecified notion,--a notion that is only implicitly or 'immediately' specified--is equally describable as the Universal.

When it means immediate being, the beginning is taken from sensation and perception--the initial stage in the analytical method of finite cognition. When it means universality, it is the beginning of the synthetic method. But since the Logical Idea is as much a universal as it is in being--since it is pre-supposed by the notion as much as it itself immediately _is,_ its beginning is a synthetical as well as an analytical beginning.

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Philosophical method is analytical as well as synthetical, not indeed in the sense of a bare juxtaposition or mere alternating employment of these two methods of finite cognition, but rather in such a way that it holds them merged in itself. In every one of its movements therefore it displays an attitude at once analytical and synthetical. Philosophical thought proceeds analytically, in so far as it only accepts its object, the Idea, and while allowing it its own way, is only, as it were, an on-looker at its movement and development. To this extent philosophising is wholly passive. Philosophic thought however is equally synthetic, and evinces itself to be the action of the notion itself. To that end, however, there is required an effort to keep back the incessant impertinence of our own fancies and private opinions.

239.] (b) The Advance renders explicit the _judgment_ implicit in the Idea. The immediate universal, as the notion implicit, is the dialectical force which on its own part deposes its immediacy and universality to the level of a mere stage or 'moment.' Thus is put the negative of the beginning, its specific character: it supposes a correlative, a relation of different terms,--the stage of Reflection.

Seeing that the immanent dialectic only states explicitly what was involved in the immediate notion, this advance is Analytical; but seeing that in this notion this distinction was not yet stated,--it is equally Synthetical.

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In the advance of the idea, the beginning exhibits itself as what it is implicitly. It is seen to be mediated and derivative, and neither to have proper being nor proper immediacy. It is only for the consciousness which is itself immediate, that Nature forms the commencement or immediacy, and that Spirit appears as what is mediated by Nature. The truth is that Nature is the creation of Spirit, and it is Spirit itself which gives itself a pre-supposition in Nature.

240.] The abstract form of the advance is, in Being, an other and transition into an other; in Essence showing or reflection in the opposite; in Notion, the distinction of individual from universality, which continues itself as such into, and is as an identity with, what is distinguished from it.

241.] In the second sphere the primarily implicit notion has come as far as shining, and thus is already the idea in germ. The development of this sphere becomes a regress into the first, just as the development of the first is a transition into the second.

It is only by means of this double movement, that the difference first gets its due, when each of the two members distinguished, observed on its own part, completes itself to the totality, and in this way works out its unity with the other. It is only by both merging their one-sidedness on their own part, that their unity is kept from becoming one-sided.

242.] The second sphere developes the relation of the differents to what it primarily is,--to the contradiction in its own nature. That contradiction which is seen in the infinite progress is resolved (c) into the end or terminus, where the differenced is explicitly stated as what it is in notion. The end is the negative of the first, and as the identity with that, is the negativity of itself. It is consequently the unity in which both of these Firsts, the immediate and the real First, are made constituent stages in thought, merged, and at the same time preserved in the unity. The notion, which from its implicitness thus comes by means of its differentiation and the merging of that differentiation to close with itself, is the realised notion,--the notion which contains the relativity or dependence of its special features in its own independence. It is the idea which, as absolutely first (in the method), regards this terminus as merely the disappearance of the show or semblance, which made the beginning appear immediate, and made itself seem a result. It is the knowledge that the idea is the one systematic whole.

243.] It thus appears that the method is not an extraneous form, but the soul and notion of the content, from which it is only distinguished, so far as the dynamic elements of the notion even on their own part come in their own specific character to appear as the totality of the notion. This specific character, or the content, leads itself with the form back to the idea; and thus the idea is presented as a systematic totality which is only one idea, of which the several elements are each implicitly the idea, whilst they equally by the dialectic of the notion produce the simple independence of the idea. The science in this manner concludes by apprehending the notion of itself, as of the pure idea for which the idea is.

244.] The Idea which is independent or for itself, when viewed on the point of this its unity with itself, is Perception or Intuition, and the percipient Idea is Nature. But as intuition the idea is, through an external 'reflection,' invested with the one-sided characteristic of immediacy, or of negation. Enjoying however an absolute liberty, the Idea does not merely pass over into life, or as finite cognition allow life to show in it: in its own absolute truth it resolves to let the 'moment' of its particularity, or of the first characterisation and other-being, the immediate idea, as its reflected image, go forth freely as Nature.

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We have now returned to the notion of the Idea with which we began. This return to the beginning is also an advance. We began with Being, abstract Being: where we now are we also have the Idea as Being: but this Idea which has Being is Nature.

NOTES AND ILLUSTRATIONS