by admin » Tue Jun 05, 2018 9:07 am
Part 2 of 3
7. The element of knowledge
Φ 26. A self having knowledge purely of itself in the absolute antithesis of itself, this pure ether as such, is the very soil where science flourishes, is knowledge in universal form. The beginning of philosophy presupposes or demands from consciousness that it should feel at home in this element. But this element only attains its perfect meaning and acquires transparency through the process of gradually developing it. It is pure spirituality as the universal which assumes the shape of simple immediacy; and this simple element, existing as such, is the field of science, is thinking, which can be only in mind. Because this medium, this immediacy of mind, is the mind’s substantial nature in general, it is the transfigured essence, reflection which itself is simple, which is aware of itself as immediacy; it is being, which is reflection into itself. Science on its side requires the individual self-consciousness to have risen into this high ether, in order to be able to live with science, and in science, and really to feel alive there. Conversely the individual has the right to demand that science shall hold the ladder to help him to get at least as far as this position, shall show him that he has in himself this ground to stand on. His right rests on his absolute independence, which he knows he possesses in every type and phase of knowledge; for in every phase, whether recognised by science or not, and whatever be the content, his right as an individual is the absolute and final form, i.e. he is the immediate certainty of self, and thereby is unconditioned being, were this expression preferred. If the position taken up by consciousness, that of knowing about objective things as opposed to itself, and about itself as opposed to them, is held by science to be the very opposite of what science is: if, when in knowing it keeps within itself and never goes beyond itself, science holds this state to be rather the loss of mind altogether – on the other hand the element in which science consists is looked at by consciousness as a remote and distant region, in which consciousness is no longer in possession of itself. Each of these two sides takes the other to be the perversion of the truth. For the naïve consciousness, to give itself up completely and straight away to science is to make an attempt, induced by some unknown influence, all at once to walk on its head. The compulsion to take up this attitude and move about in this position, is a constraining force it is urged to fall in with, without ever being prepared for it and with no apparent necessity for doing so. Let science be per se what it likes, in its relation to naïve immediate self-conscious life it presents the appearance of being a reversal of the latter; or, again, because naïve self-consciousness finds the principle of its reality in the certainty of itself, science bears the character of unreality, since consciousness “for itself” is a state quite outside of science. Science has for that reason to combine that other element of self-certainty with its own, or rather to show that the other element belongs to itself, and how it does so. When devoid of that sort of reality, science is merely the content of mind qua something implicit or potential (an sich); purpose, which at the start is no more than something internal; not spirit, but at first merely spiritual substance. This implicit moment (Ansich) has to find external expression, and become objective on its own account. This means nothing else than that this moment has to establish self-consciousness as one with itself.
8. The ascent into this is the Phenomenology of Spirit
Φ 27. It is this process by which science in general comes about, this gradual development of knowing, that is set forth here in the Phenomenology of Mind. Knowing, as it is found at the start, mind in its immediate and primitive stage, is without the essential nature of mind, is sense-consciousness. To reach the stage of genuine knowledge, or produce the element where science is found – the pure conception of science itself – a long and laborious journey must be undertaken. This process towards science, as regards the content it will bring to light and the forms it will assume in the course of its progress, will not be what is primarily imagined by leading the unscientific consciousness up to the level of science: it will be something different, too, from establishing and laying the foundations of science; and anyway something else than the sort of ecstatic enthusiasm which starts straight off with absolute knowledge, as if shot out of a pistol, and makes short work of other points of view simply by explaining that it is to take no notice of them.
Φ 28. The task of conducting the individual mind from its unscientific standpoint to that of science had to be taken in its general sense; we had to contemplate the formative development (Bildung) of the universal [or general] individual, of self-conscious spirit. As to the relation between these two [the particular and general individual], every moment, as it gains concrete form and its own proper shape and appearance, finds a place in the life of the universal individual. The particular individual is incomplete mind, a concrete shape in whose existence, taken as a whole, one determinate characteristic predominates, while the others are found only in blurred outline. In that mind which stands higher than another the lower concrete form of existence has sunk into an obscure moment; what was formerly an objective fact (die Sache selbst) is now only a single trace: its definite shape has been veiled, and become simply a piece of shading. The individual, whose substance is mind at the higher level, passes through these past forms, much in the way that one who takes up a higher science goes through those preparatory forms of knowledge, which he has long made his own, in order to call up their content before him; he brings back the recollection of them without stopping to fix his interest upon them. The particular individual, so far as content is concerned, has also to go through the stages through which the general mind has passed, but as shapes once assumed by mind and now laid aside, as stages of a road which has been worked over and levelled out. Hence it is that, in the case of various kinds of knowledge, we find that what in former days occupied the energies of men of mature mental ability sinks to the level of information, exercises, and even pastimes, for children; and in this educational progress we can see the history of the world’s culture delineated in faint outline. This bygone mode of existence has already become an acquired possession of the general mind, which constitutes the substance of the individual, and, by thus appearing externally to him, furnishes his inorganic nature. In this respect culture or development of mind (Bildung), regarded from the side of the individual, consists in his acquiring what lies at his hand ready for him, in making its inorganic nature organic to himself, and taking possession of it for himself. Looked at, however, from the side of universal mind qua general spiritual substance, culture means nothing else than that this substance gives itself its own self-consciousness, brings about its own inherent process and its own reflection into self.
Φ 29. Science lays before us the morphogenetic process of this cultural development in all its detailed fullness and necessity, and at the same time shows it to be something that has already sunk into the mind as a moment of its being and become a possession of mind. The goal to be reached is the mind’s insight into what knowing is. Impatience asks for the impossible, wants to reach the goal without the means of getting there. The length of the journey has to be borne with, for every moment is necessary; and again we must halt at every stage, for each is itself a complete individual form, and is fully and finally considered only so far as its determinate character is taken and dealt with as a rounded and concrete whole, or only so far as the whole is looked at in the light of the special and peculiar character which this determination gives it. Because the substance of individual mind, nay, more, because the universal mind at work in the world (Weltgeist), has had the patience to go through these forms in the long stretch of time’s extent, and to take upon itself the prodigious labour of the world’s history, where it bodied forth in each form the entire content of itself, as each is capable of presenting it; and because by nothing less could that all-pervading mind ever manage to become conscious of what itself is – for that reason, the individual mind, in the nature of the case, cannot expect by less toil to grasp what its own substance contains. All the same, its task has meanwhile been made much lighter, because this has historically been implicitly (an sich) accomplished, the content is one where reality is already cancelled for spiritual possibilities, where immediacy has been overcome and brought under the control of reflection, the various forms and shapes have been already reduced to their intellectual abbreviations, to determinations of thought (Gedankenbestimmung) pure and simple. Being now a thought, the content is the property of the substance of mind; existence has no more to be changed into the form of what is inherent and implicit (Ansichseins), but only the implicit – no longer merely something primitive, nor lying hidden within existence, but already present as a recollection – into the form of what is explicit, of what is objective to self (Fürsichseins).
9. The transformation of the notion and the familiar into thought –
Φ 30. We have to state more exactly the way this is done. At the point at which we here take up this movement, we are spared, in connection with the whole, the process of cancelling and transcending the stage of mere existence. This process has already taken place. What is still to be done and needs a higher kind of transformation, is to transcend the forms as ideally presented and made familiar to our minds. By that previous negative process, existence, having been withdrawn into the mind’s substance, is, in the first instance, transferred to the life of self only in an immediate way. The property the self has thereby acquired, has still the same character of uncomprehended immediacy, of passive indifference, which existence itself had; existence has in this way merely passed into the form of an ideal presentation. At the same time, by so doing, it is something familiar to us, something “well-known”, something which the existent mind has finished and done with, and hence takes no more to do with and no further interest in. While the activity that is done with the existent is itself merely the process of the particular mind, of mind which is not comprehending itself, on the other hand, knowledge is directed against this ideal presentation which has hereby arisen, against this “being-familiar” and “well-known”; it is an action of universal mind, the concern of thought.
Φ 31. What is “familiarly known” is not properly known, just for the reason that it is “familiar”. When engaged in the process of knowing, it is the commonest form of self-deception, and a deception of other people as well, to assume something to be familiar, and give assent to it on that very account. Knowledge of that sort, with all its talk, never gets from the spot, but has no idea that this is the case. Subject and object, and so on, God, nature, understanding, sensibility, etc., are uncritically presupposed as familiar and something valid, and become fixed points from which to start and to which to return. The process of knowing flits between these secure points, and in consequence goes on merely along the surface. Apprehending and proving consist similarly in seeing whether every one finds what is said corresponding to his idea too, whether it is familiar and seems to him so and so or not.
Φ 32. Analysis of an idea, as it used to be carried out, did in fact consist in nothing else than doing away with its character of familiarity. To break up an idea into its ultimate elements means returning upon its moments, which at least do not have the form of the given idea when found, but are the immediate property of the self. Doubtless this analysis only arrives at thoughts which are themselves familiar elements, fixed inert determinations. But what is thus separated, and in a sense is unreal, is itself an essential moment; for just because the concrete fact is self-divided, and turns into unreality, it is something self-moving, self-active. The action of separating the elements is the exercise of the force of Understanding, the most astonishing and greatest of all powers, or rather the absolute power. The circle, which is self-enclosed and at rest, and, qua substance, holds its own moments, is an immediate relation, the immediate, continuous relation of elements with their unity, and hence arouses no sense of wonderment. But that an accident as such, when out loose from its containing circumference, – that what is bound and held by something else and actual only by being connected with it, – should obtain an existence all its own, gain freedom and independence on its own account – this is the portentous power of the negative; it is the energy of thought, of pure ego. Death, as we may call that unreality, is the most terrible thing, and to keep and hold fast what is dead demands the greatest force of all. Beauty, powerless and helpless, hates understanding, because the latter exacts from it what it cannot perform. But the life of mind is not one that shuns death, and keeps clear of destruction; it endures death and in death maintains its being. It only wins to its truth when it finds itself utterly torn asunder. It is this mighty power, not by being a positive which turns away from the negative, as when we say of anything it is nothing or it is false, and, being then done with it, pass off to something else: on the contrary, mind is this power only by looking the negative in the face, and dwelling with it. This dwelling beside it is the magic power that converts the negative into being. That power is just what we spoke of above as subject, which by giving determinateness a place in its substance, cancels abstract immediacy, i.e. immediacy which merely is, and, by so doing, becomes the true substance, becomes being or immediacy that does not have mediation outside it, but is this mediation itself.
10. – and this into the Concept/Notion
Φ 33. This process of making what is objectively presented a possession of pure self-consciousness, of raising it to the level of universality in general, is merely one aspect of mental development; spiritual evolution is not yet completed. The manner of study in ancient times is distinct from that of the modern world, in that the former consisted in the cultivation and perfecting of the natural mind. Testing life carefully at all points, philosophizing about everything it came across, the former created an experience permeated through and through by universals. In modern times, however, an individual finds the abstract form ready made. In straining to grasp it and make it his own, he rather strives to bring forward the inner meaning alone, without any process of mediation; the production of the universal is abridged, instead of the universal arising out of the manifold detail of concrete existence. Hence nowadays the task before us consists not so much in getting the individual clear of the stage of sensuous immediacy, and making him a substance that thinks and is grasped in terms of thought, but rather the very opposite: it consists in actualising the universal, and giving it spiritual vitality, by the process of breaking down and superseding fixed and determinate thoughts. But it is much more difficult to make fixed and definite thoughts fuse with one another and form a continuous whole than to bring sensuous existence into this state. The reason lies in what was said before. Thought determinations get their substance and the element of their existence from the ego, the power of the negative, or pure reality; while determinations of sense find this in impotent abstract immediacy, in mere being as such. Thoughts become fluent and interfuse, when thinking pure and simple, this inner immediacy, knows itself as a moment, when pure certainty of self abstracts from itself. It does not “abstract” in the sense of getting away from itself and setting itself on one side, but of surrendering the fixed quality of its self-affirmation, and giving up both the fixity of the purely concrete – which is the ego as contrasted with the variety of its content – and the fixity of all those distinctions [the various thought-functions, principles, etc.] which are present in the element of pure thought and share that absoluteness of the ego. In virtue of this process pure thoughts become notions, concepts, and are then what they are in truth, self-moving functions, circles, are what their substance consists in, are spiritual entities.
Φ 34. This movement of the spiritual entities constitutes the nature of scientific procedure in general. Looked at as the concatenation of their content, this movement is the necessitated development and expansion of that content into an organic systematic whole. By this movement, too, the road, which leads to the notion of knowledge, becomes itself likewise a necessary and complete evolving process (Werden). This preparatory stage thus ceases to consist of casual philosophical reflections, referring to objects here and there, to processes and thoughts of the undeveloped mind as chance may direct; and it does not try to establish the truth by miscellaneous ratiocinations, inferences, and consequences drawn from circumscribed thoughts. The road to science, by the very movement of the notion itself, will compass the entire objective world of conscious life in its rational necessity.
Φ 35. Further, a systematic exposition like this constitutes the first part of science, because the positive existence of mind, qua primary and ultimate, is nothing but the immediate aspect of mind, the beginning; the beginning, but not yet its return to itself. The characteristic feature distinguishing this part of science [Phenomenology] from the others is the element of positive immediate existence. The mention of this distinction leads us to discuss certain established ideas that usually come to notice in this connection.
Φ 36. The mind’s immediate existence, conscious life, has two aspects – cognition and objectivity which is opposed to or negative of the subjective function of knowing. Since it is in the medium of consciousness that mind is developed and brings out its various moments, this opposition between the factors of conscious life is found at each stage in the evolution of mind, and all the various moments appear as modes or forms (Gestalten) of consciousness. The scientific statement of the course of this development is a science of the experience through which consciousness passes; the substance and its process are considered as the object of consciousness. Consciousness knows and comprehends nothing but what falls within its experience; for what is found in experience is merely spiritual substance, and, moreover, object of its self. Mind, however, becomes object, for it consists in the process of becoming an other to itself, i.e. an object for its own self, and in transcending this otherness. And experience is called this very process by which the element that is immediate, unexperienced, i.e. abstract – whether it be in the form of sense or of a bare thought – externalises itself, and then comes back to itself from this state of estrangement, and by so doing is at length set forth in its concrete nature and real truth, and becomes too a possession of consciousness.
Φ 37. The dissimilarity which obtains in consciousness between the ego and the substance constituting its object, is their inner distinction, the factor of negativity in general. We may regard it as the defect of both opposites, but it is their very soul, their moving spirit. It was on this account that certain thinkers long ago took the void to be the principle of movement, when they conceived the moving principle to be the negative element, though they had not as yet thought of it as self. While this negative factor appears in the first instance as a dissimilarity, as an inequality, between ego and object, it is just as much the inequality of the substance with itself. What seems to take place outside it, to be an activity directed against it, is its own doing, its own activity; and substance shows that it is in reality subject. When it has brought out this completely, mind has made its existence adequate to and one with its essential nature. Mind is object to itself just as it is, and the abstract element of immediacy, of the separation between knowing and the truth, is overcome. Being is entirely mediated; it is a substantial content, that is likewise directly in the possession of the ego, has the character of self, is notion. With the attainment of this the Phenomenology of Mind concludes. What mind prepares for itself in the course of its phenomenology is the element of true knowledge. In this element the moments of mind are now set out in the form of thought pure and simple, which knows its object to be itself. They no longer involve the opposition between being and knowing; they remain within the undivided simplicity of the knowing function; they are the truth in the form of truth, and their diversity is merely diversity of the content of truth. The process by which they are developed into an organically connected whole is Logic or Speculative Philosophy.
11. In what way the Phenomenology of the Spirit is negative or contains what is false
Φ 38. Now, because the systematic statement of the mind’s experience embraces merely its ways of appearing, it may well seem that the advance from that to the science of ultimate truth in the form of truth is merely negative; and we might readily be content to dispense with the negative process as something altogether false, and might ask to be taken straight to the truth at once: why meddle with what is false at all? The point formerly raised, that we should have begun with science at once, may be answered here by considering the character of negativity in general regarded as something false. The usual ideas on this subject particularly obstruct the approach to the truth. The consideration of this point will give us an opportunity to speak about mathematical knowledge, which non-philosophical knowledge looks upon as the ideal which philosophy ought to try to attain, but has so far striven in vain to reach.
Φ 39. Truth and falsehood as commonly understood belong to those sharply defined ideas which claim a completely fixed nature of their own, one standing in solid isolation on this side, the other on that, without any community between them. Against that view it must be pointed out, that truth is not like stamped coin that is issued ready from the mint and so can be taken up and used. Nor, again, is there something false, any more than there is something evil. Evil and falsehood are indeed not so bad as the devil, for in the form of the devil they get the length of being particular subjects; qua false and evil they are merely universals, though they have a nature of their own with reference to one another. Falsity (that is what we are dealing with here) would be otherness, the negative aspect of the substance, which [substance], qua content of knowledge, is truth. But the substance is itself essentially the negative element, partly as involving distinction and determination of content, partly as being a process of distinguishing pure and simple, i.e. as being self and knowledge in general. Doubtless we can know in a way that is false. To know something falsely means that knowledge is not adequate to, is not on equal terms with, its substance. Yet this very dissimilarity is the process of distinction in general, the essential moment in knowing. It is, in fact, out of this active distinction that its harmonious unity arises, and this identity, when arrived at, is truth. But it is not truth in a sense which would involve the rejection of the discordance, the diversity, like dross from pure metal; nor, again, does truth remain detached from diversity, like a finished article from the instrument that shapes it. Difference itself continues to be an immediate element within truth as such, in the form of the principle of negation, in the form of the activity of Self. All the same, we cannot for that reason say that falsehood is a moment or forms even a constituent part of truth. That “in every case of falsity there is something true” is an expression in which they are taken to be like oil and water, which do not mix and are merely united externally. Just in the interest of their real meaning, precisely because we want to designate the aspect or moment of complete otherness, the terms true and false must no longer be used where their otherness has been cancelled and superseded. Just as the expressions “unity of subject and object”, of “finite and infinite”, of “being and thought”, etc., are clumsy when subject and object, etc., are taken to mean what they are outside their unity, and are thus in that unity not meant to be what its very expression conveys; in the same way falsehood is not, qua false, any longer a moment of truth.
Φ 40. Dogmatism as a way of thinking, whether in ordinary knowledge or in the study of philosophy, is nothing else but the view that truth consists in a proposition, which is a fixed and final result, or again which is directly known. To questions like, “When was Caesar born?”. “How many feet make a furlong?”, etc., a straight answer ought to be given; just as it is absolutely true that the square of the hypotenuse is equal to the sum of the squares of the other two sides of a right-angled triangle. But the nature of a so-called truth of that sort is different from the nature of philosophical truth.
12. Historical and mathematical truth
Φ 41. As regards truth in matters of historical fact – to deal briefly with this subject – so far as we consider the purely historical element, it will be readily granted that they have to do with the sphere of particular existence, with a content in its contingent and arbitrary aspects, features that have no necessity. But even bare truths of the kind, say, like those mentioned, are impossible without the activity of self-consciousness. In order to know any one of them, there has to be a good deal of comparison, books must be consulted, or in some way or other inquiry has to be made. Even in a case of direct perception, only when we know it along with the reasons behind it, is it held to be something of real value; although it is merely the naked fact itself that we are, properly speaking, supposed to be concerned about.
Φ 42. As to mathematical truths, we should be still less inclined to consider anyone a geometer who had got Euclid’s theorems by heart (auswendig) without knowing the proofs, without, if we may say so by way of contrast, getting them into his head (inwendig). Similarly, if anyone came to know by measuring many right-angled triangles that their sides are related in the way everybody knows, we should regard knowledge so obtained as unsatisfactory. All the same, while proof is essential in the case of mathematical knowledge, it still does not have the significance and nature of being a moment in the result itself; the proof is over when we get the result, and has disappeared. Qua result the theorem is, no doubt, one that is seen to be true. But this eventuality has nothing to do with its content, but only with its relation to the knowing subject. The process of mathematical proof does not belong to the object; it is a function that takes place outside the matter in hand. Thus, the nature of a right-angled triangle does not break itself up into factors in the manner set forth in the mathematical construction which is required to prove the proposition expressing the relation of its parts. The entire process of producing the result is an affair of knowledge which takes its own way of going about it. In philosophical knowledge, too, the way existence, qua existence, comes about (Werden) is different from that whereby the essence or inner nature of the fact comes into being. But philosophical knowledge, for one thing, contains both, while mathematical knowledge sets forth merely the way an existence comes about, i.e. the way the nature of the fact gets to be in the sphere of knowledge as such. For another thing, too, philosophical knowledge unites both these particular movements. The inward rising into being, the process of substance, is an unbroken transition into outwardness, into existence or being for another; and conversely, the coming of existence into being is withdrawal into the inner essence. The movement is the twofold process in which the whole comes to be, and is such that each at the same time posits the other, and each on that account has in it both as its two aspects. Together they make the whole, through their resolving each other, and making themselves into moments of the whole.
Φ 43. In mathematical knowledge the insight required is an external function so far as the subject-matter dealt with is concerned. It follows that the actual fact is thereby altered. The means taken, construction and proof, contain, no doubt, true propositions; but all the same we are bound to say that the content is false. The triangle in the above example is taken to pieces, and its parts made into other figures to which the construction in the triangle gives rise. It is only at the end that we find again reinstated the triangle we are really concerned with; it was lost sight of in the course of the construction, and was present merely in fragments, that belonged to other wholes. Thus we find negativity of content coming in here too, a negativity which would have to be called falsity, just as much as in the case of the movement of the notion where thoughts that are taken to be fixed pass away and disappear.
Φ 44. The real defect of this kind of knowledge, however, affects its process of knowing as much as its material. As to that process, in the first place we do not see any necessity in the construction. The necessity does not arise from the nature of the theorem: it is imposed; and the injunction to draw just these lines, an infinite number of others being equally possible, is blindly acquiesced in, without our knowing anything further, except that, as we fondly believe, this will serve our purpose in producing the proof. Later on this design then comes out too, and is therefore merely external in character, just because it is only after the proof is found that it comes to be known. In the same way, again, the proof takes a direction that begins anywhere we like, without our knowing as yet what relation this beginning has to the result to be brought out. In its course, it takes up certain specific elements and relations and lets others alone, without its being directly obvious what necessity there is in the matter. An external purpose controls this process.
Φ 45. The evidence peculiar to this defective way of knowing – an evidence on the strength of which mathematics plumes itself and proudly struts before philosophy – rests solely on the poverty of its purpose and the defectiveness of its material, and is on that account of a kind that philosophy must scorn to have anything to do with. Its purpose or principle is quantity. This is precisely the relationship that is non-essential, alien to the character of the notion. The process of knowledge goes on, therefore, on the surface, does not affect the concrete fact itself, does not touch its inner nature or Notion, and is hence not a conceptual way of comprehending. The material which provides mathematics with these welcome treasures of truth consists of space and numerical units (das Eins). Space is that kind of existence wherein the concrete notion inscribes the diversity it contains, as in an empty, lifeless element in which its differences likewise subsist in passive, lifeless form. What is concretely actual is not something spatial, such as is treated of in mathematics. With unrealities like the things mathematics takes account of, neither concrete sensuous perception nor philosophy has anything to do. In an unreal element of that sort we find, then, only unreal truth, fixed lifeless propositions. We can call a halt at any of them; the next begins of itself de novo, without the first having led up to the one that follows, and without any necessary connection having in this way arisen from the nature of the subject-matter itself. So, too – and herein consists the formal character of mathematical evidence because of that principle and the element where it applies, knowledge advances along the lines of bare equality, of abstract identity. For what is lifeless, not being self-moved, does not bring about distinction within its essential nature; does not attain to essential opposition or unlikeness; and hence involves no transition of one opposite element into its other, no qualitative, immanent movement, no self-movement, It is quantity, a form of difference that does not touch the essential nature, which alone mathematics deals with. It abstracts from the fact that it is the notion which separates space into its dimensions, and determines the connections between them and in them. It does not consider, for example, the relation of line to surface, and when it compares the diameter of a circle with its circumference, it runs up against their incommensurability, i.e. a relation in terms of the notion, an infinite element, that escapes mathematical determination.
Φ 46. Immanent or so-called pure mathematics, again, does not oppose time qua time to space, as a second subject-matter for consideration. Applied mathematics, no doubt, treats of time, as also of motion, and other concrete things as well; but it picks up from experience synthetic propositions – i.e. statements of their relations, which are determined by their conceptual nature – and merely applies its formulae to those propositions assumed to start with. That the so-called proofs of propositions like that concerning the equilibrium of the lever, the relation of space and time in gravitation, etc., which applied mathematics frequently gives, should be taken and given as proofs, is itself merely a proof of how great the need is for knowledge to have a process of proof, seeing that, even where proof is not to be had, knowledge yet puts a value on the mere semblance of it, and gets thereby a certain sense of satisfaction. A criticism of those proofs would be as instructive as it would be significant, if the criticism could strip mathematics of this artificial finery, and bring out its limitations, and thence show the necessity for another type of knowledge.
As to time, which, it is to be presumed, would, by way of the counterpart to space, constitute the object-matter of the other division of pure mathematics, this is the notion itself in the form of existence. The principle of quantity, of difference which is not determined by the notion, and the principle of equality, of abstract, lifeless unity, are incapable of dealing with that sheer restlessness of life and its absolute and inherent process of differentiation. It is therefore only in an arrested, paralysed form, only in the form of the quantitative unit, that this essentially negative activity becomes the second object-matter of this way of knowing, which, itself an external operation, degrades what is self-moving to the level of mere matter, in order thus to get an indifferent, external, lifeless content.
13. The nature of philosophical truth and its method
Φ 47. Philosophy, on the contrary, does not deal with a determination that is non-essential, but with a determination so far as it is an essential factor. The abstract or unreal is not its element and content, but the real, what is self-establishing, has life within itself, existence in its very notion. It is the process that creates its own moments in its course, and goes through them all; and the whole of this movement constitutes its positive content and its truth. This movement includes, therefore, within it the negative factor as well, the element which would be named falsity if it could be considered one from which we had to abstract. The element that disappears has rather to be looked at as itself essential, not in the sense of being something fixed, that has to be cut off from truth and allowed to lie outside it, heaven knows where; just as similarly the truth is not to be held to stand on the other side as an immovable lifeless positive element. Appearance is the process of arising into being and passing away again, a process that itself does not arise and does not pass away, but is per se, and constitutes reality and the life-movement of truth. The truth is thus the bacchanalian revel, where not a member is sober; and because every member no sooner becomes detached than it eo ipso collapses straightway, the revel is just as much a state of transparent unbroken calm. Judged by that movement, the particular shapes which mind assumes do not indeed subsist any more than do determinate thoughts or ideas; but they are, all the same, as much positive and necessary moments, as negative and transitory. In the entirety of the movement, taken as an unbroken quiescent whole, that which obtains distinctness in the course of its process and secures specific existence, is preserved in the form of a self-recollection, in which existence is self-knowledge, and self-knowledge, again, is immediate existence.
Φ 48. It might well seem necessary to state at the outset the chief points in connection with the method of this process, the way in which science operates. Its nature, however, is to be found in what has already been said, while the proper systematic exposition of it is the special business of Logic, or rather is Logic itself. For the method is nothing else than the structure of the whole in its pure and essential form. In regard, however, to what has been hitherto currently held on this point, we must be sensible that the system of ideas bearing on the question of philosophical method, belongs also to a stage of mental culture that has now passed away. This may perhaps seem somewhat boastful or revolutionary; and I am far from adopting an attitude of that sort; but it is significant that the scientific régime bequeathed by mathematics – a régime of explanations, divisions, axioms, an array of theorems, with proofs, principles, and the consequences and conclusions drawn from them – all this has already come to be generally considered as at any rate out of date. Even though there is no clear idea why it is unsuitable, yet little or no use is made of it any longer; and even though it is not condemned outright, it is all the same not in favour. And we must be so far prejudiced in favour of what is excellent to believe that it can turn itself to practical account, and make itself acceptable. But it is not difficult to see that the method of propounding a proposition, producing reasons for it and then refuting its opposite by reasons too, is not the form in which truth can appear. Truth moves itself by its very nature; but the method just mentioned is a form of knowledge external to its material. Hence it is peculiar to mathematics and must be left to mathematics, which, as already indicated, takes for its principle the relation of quantity, a relation alien to the notion, and gets its material from lifeless space, and the equally lifeless numerical unit. Or, again, such a method, adopting a freer style, one involving more of arbitrariness and chance, may have a place in ordinary life, in a conversation, or in supplying matter-of-fact instruction for the satisfaction of curiosity rather than knowledge, very much as a preface does. In every-day life the mind finds its content in different kinds of knowledge, experiences of various sorts, concrete facts of sense, thoughts, too, and principles, and, in general, in whatever lies ready to hand, or passes for a solid stable entity, or real being. The mind follows wherever this leads, sometimes interrupting the connection by an unrestrained caprice in dealing with the content, and takes up the attitude of determining and handling it in quite an external fashion. It runs the content back to some touchstone of certainty or other, even though it be but the feeling of the moment; and conviction is satisfied if it reaches some familiar resting-place.
Φ 49. But when the necessity of the notion banishes from its realm the loose procedure of the “raisonnements” of conversation, as well as the pedantic style of scientific pomposity, its place, as we have already mentioned, must not be taken by the disconnected utterance of presageful surmise and inspiration, and the arbitrary caprice of prophetic utterance; for this does not merely despise that particular form of scientific procedure, but contemns scientific procedure altogether.
14. Against schematizing formalism
Φ 50. Now that the triplicity, adopted in the system of Kant – a method rediscovered, to begin with, by instinctive insight, but left lifeless and uncomprehended – has been raised to its significance as an absolute method, true form is thereby set up in its true content, and the conception of science has come to light. But the use this form has been put to in certain quarters has no right to the name of science. For we see it there reduced to a lifeless schema, to nothing better than a mere shadow, and scientific organization to a synoptic table. This formalism – about which we spoke before in general terms, and whose procedure we wish here to state more fully – thinks it has comprehended and expressed the nature and life of a given form when it proclaims a determination of the schema to be its predicate. The predicate may be subjectivity or objectivity, or again magnetism, electricity, and so on, contraction or expansion, East or West, and such like – a form of predication that can be multiplied indefinitely, because according to this way of working each determination, each mode, can be applied as a form or schematic element in the case of every other, and each will thankfully perform the same service for any other. With a circle of reciprocities of this sort it is impossible to make out what the real fact in question is, or what the one or the other is. We find there sometimes constituents of sense picked up from ordinary intuition, determinate elements which to be sure should mean something else than they say; at other times what is inherently significant, viz. pure determinations of thought – like subject, object, substance, cause, universality, etc. – these are applied just as uncritically and unreflectingly as in every-day life, are used much as people employ the terms strong and weak, expansion and contraction. As a result that type of metaphysics is as unscientific as those ideas of sense.