Logic as the Science of the Pure Concept

Part 3

Chapter 33,939 wordsPublic domain

Facing, therefore, without more ado, the problem of Logic, the first obstacle to be removed will not be absolute scepticism nor scepticism concerning the intuitive form; but a new and more circumscribed scepticism, which does not question the two first theses, indeed relies upon them, and negates neither knowledge nor intuition, but _logical_ knowledge itself. Logical knowledge is something beyond simple representation. The latter is individuality and multiplicity; the former the _universality_ of individuality, the _unity_ of multiplicity; the one is intuition, the other _concept._ To know logically is to know the universal or concept. The negation of logic is the affirmation that there is no other knowledge than representative (or sense knowledge, as it is called), and that universal or conceptual knowledge does not exist. Beyond simple representation, there is nothing knowable.

Were this so, the treatise which we are preparing to develop would have no subject-matter whatever, and would here cease, since it is impossible to seek out the nature of what does not exist, that is, of the concept, or how it operates in relation to the other forms of the Spirit. But that this is not so, and that the concept really exists and operates and gives rise to problems, undoubtedly results from the negation itself, pronounced by that form of scepticism which we will call _logical,_ and which is, indeed, the only negation conceivable upon this point. Thus, we can speedily reassure ourselves as to the fate of our undertaking; or, if it be preferred, we must at once abandon the hope which we conjured up before ourselves, and resign ourselves to the labour of constructing a Logic; a labour which logical scepticism, by restricting us to the sole form of representation, had, as it seems, the good intention of sparing us.

[Sidenote: _Its three forms._]

Logical scepticism, in fact, can assume three forms. It may affirm simply that representative knowledge is the whole and that unity or universality, whose existence we have postulated, are words without meaning. Or it may affirm that the demand for unity is justified, but that it is satisfied only by the non-cognitive forms of the Spirit. Or, finally, it may affirm that the demand is certainly satisfied by these non-cognitive forms, but only in so far as they react upon the cognitive, that is to say, upon the one admitted form of the cognitive, namely, the representative. It is clear that there is no other possibility beyond these three, either that of being satisfied with representative knowledge; or of being satisfied with something non-cognitive; or of combining these two forms. In the first case, we have the theory of _æstheticism_ (which could also be correctly called sensationalism, if this did not happen to be an inconvenient term, by reason of the misunderstanding which might easily spring from it); in the second, the theory of _mysticism;_ in the third, that of _empiricism_ or _arbitrarism._

[Sidenote: _Æstheticism._]

According to æstheticism, in order to understand the real, it is not necessary to think by means of concepts, to universalize, to reason, or to be logical. It suffices to pass from one spectacle to another; and the sum of these, increased to infinity, is the truth which we seek, and which we must refrain from transcending, lest we fall into the void. The _sub specie aeterni_ would be just like that mirror of water which deceived the avidity of the dog of Phædrus, and made it leave the real for the illusory food. For the cold and fruitless quest of the logician there is substituted the rich and moving contemplation of the artist. Truth lies in works of speech, of colour, of line, and not at all in the vain babblings of philosophy. Let us sing, let us paint, and not compel our minds to spasmodic and sterile efforts.

[Sidenote: _Mysticism._]

The æstheticist's attitude may be considered as that of the spirit, which comes out of itself and disperses itself among things, while keeping itself above and aloof from them, contemplating, but not immersing itself in them. Mysticism is not satisfied with this, feeling that no repose is ever accorded to the spirit which abandons itself to this orgy, this breathless adventure of infinitely various spectacles, and that the intimate meaning of them all escapes the æstheticist. It is true that there is no logical knowledge, that the concept is sterile, but the claim for unity is legitimate, and demands to be, and is, satisfied. But in what way is it satisfied? Art speaks, and its speech, however beautiful, does not content us; it paints, and its colours, however attractive, deceive us. In order to find the inmost meaning of life, we must seek, not the light, but the shade, not speech, but silence. In silence, reality raises its head and shows its countenance; or, better, it shows us nothing, but fills us with itself, and gives us the sense of its very being. The unity and universality that we desire are found in action, in the practical form of the Spirit: in the heart, which palpitates, loves, and wills. Knowledge is knowledge of the single, it is representation; the eternal is not a matter of knowledge, but of _intimate and ineffable experience._

[Sidenote: _Empiricism._]

If the sceptics of logico-æsthetic type are chiefly artistic souls, the logico-mystical sceptics are sentimental and perturbed souls. These, although they do not usually take an entirely active part in life, yet do to some extent take part in it, vibrating in sympathetic unison with it, and, according to circumstances, suffering, sometimes through taking part, and sometimes through failing so to do. Empiricists or arbitrarists are to be found, on the other hand, among those who, engaged in practical affairs, do not indulge in emotions and sentiments, but aim at producing definite results. Thus, while they are in complete agreement with the æstheticists and the mystics in denying all value to logical knowledge as an autonomous form of knowledge, they are not satisfied, like the former, with spectacles and with works of art; nor are they caught, like the latter, in the madness and sorcery of the One and Eternal. The combination which they effect, of the æstheticist's thesis concerning the value of representation, with the mystical concerning the value of action, strengthens neither, but weakens both; and in exchange for the poetry of the first and for the ecstasy of the second, it offers an eminently prosaic product countersigned with a most prosaic name, that of _fiction._ There is something (they say) beyond the mere representation, and this something is an act of will; which also satisfies the demand for the universal, not by shutting itself up in itself, but by means of a manipulation of single representations, so concentrated and simplified as to give rise to classes or symbols, which are without reality but convenient, fictitious but useful. Ingenuous philosophers and logicians have allowed themselves to be deceived by these puppets and have taken them seriously, as Don Quixote took the Moorish puppets of Master Peter. Forgetful of the nature and character of the complete operation, they have proceeded to concentrate and to simplify where there is no material for such an undertaking, claiming to group afresh, not only this or that series of representations, but all representations, hoping thus to obtain the universal concept, that is to say, the concept which enfolds in its bosom the infinite possibilities of the real. Thus they have attained the pretended new and autonomous form of knowledge which goes beyond representations; a refined, but slightly ridiculous process of thought, like that of a man who would like to make not only knives of various sizes and shapes, but a knife of knives, beyond all knives which have a definite shape and are made of iron and steel.

[Sidenote: _Reduction to the absurd of the three forms._]

We shall proceed to examine in their places both the errors resulting from these modes of solving, or of cutting, the problem of knowledge, and also the partial truths mingled with them which it is necessary to exhibit in their full efficacy. But, at the point which now occupies us, _i.e.,_ the affirmation or negation of the conceptual form of knowledge, let it suffice to observe how all the ranks of those who deny the concept move to the assault armed with the _concept._ We need simply observe, not strive to confute, because it is a question of something which leaps to the eye at once and does not demand many words; although many would be necessary to illustrate psychologically the conditions of spirit and of culture, the natural and acquired tendencies, the habits and the prejudices, which render such marvellous blindness possible. The æstheticists affirm that truth resides in æsthetic contemplation and not in the concept. But, pray, is this affirmation of theirs perchance song, or painting, or music, or architecture? It certainly concerns intuition, but it is not intuition; it has art for subject-matter, but it is not art; it does not communicate a state of the soul, but communicates a thought, that is to say, an affirmation of universal character; therefore, it is a concept. And by this concept it is sought to deny the concept. It is as if one sought to leap over one's own shadow, when the leap itself throws the shadow, or, by clinging to one's own pigtail, to pull oneself into safety out of the river. The same may be said of the mystics. They proclaim the necessity of silence and of seeking the One, the Universal, the I, concentrating upon themselves and letting themselves live; during which mystical experience it may, perhaps, befall them (as in the _Titan_ of J. P. Richter) to rediscover the I, in a somewhat materialized form, in their own person. Nevertheless in the case of those who recommend silence, _non silent silentum,_ they do not pass it by in silence; rather, it has been said, they _proclaim_ it, and go about explaining and demonstrating how efficacious their prescription is for satisfying the desire for the universal. Were they silent about it, we should not be faced with that doctrine, as a precise formula to combat. The doctrine of silence and of silent action and inner experience is nothing but an affirmation of absolute character and universal content, by means of which are refuted, and it is believed confuted, other affirmations of the same nature. This too, then, is a concept; as contradictory as you will, and therefore, needing elaboration, but always conceptual elaboration and not practical; which last would altogether prevent the adepts in the doctrine from talking. And who, in our day, talks as much as the mystics? Indeed, what could they do, in our day, if they did not talk? And is it not significant that mystics are now found, not in solitudes, but crowded round little tables in the cafés, where it is customary, not so much to achieve inner experiences, as, on the contrary, to chatter? Finally, the theorists of fictions and of toys, in their amiable satire of logic and of philosophy, forget to explain one small particular, which is not without importance; that is to say, whether their theory of the concepts as fiction, is in its turn _fiction._ Because, were it fiction, it would be useless to discuss it, since by its own admission it is without truth; and if it were not (as it is not), it would have a character of true and not fictitious universality; or, it would be, not at all a simplification and symbol of representations, but a concept, and would establish the true concept at the very moment that it unmasks those that are fictitious. Fiction and the theory of fiction are (and it should appear evident) different things; as the delinquent and the judge who condemns him are different, or the madman and the doctor who studies madness. A fiction, which pretends to be fiction, opens, at the most, an infinite series which it is not possible to close, unless there eventually intervene an act which is not fiction, and which explains all the others, as in the unravelling of a comedy of cross-purposes. And this is the way that the empiricists or arbitrarists also come to profess the faith that they would deny. _Salus ex inimicis_ is a great truth for philosophy not less than for the whole of life; a truth, which on this occasion finds beautiful continuation in the hostility towards the concept, perhaps never so fierce as it is to-day, and in the efforts to choke it, never so great and never so courageously and cleverly employed. But those enemies find themselves in the unhappy condition of being unable to choke it, without in the very act suppressing the principle of their own life.

[Sidenote: _Affirmation of the concept._]

The concept, then, is not representation, nor is it a mixture and refinement of representation. It springs from representations, as something implicit in them that must become explicit; a necessity whose premisses they provide, but which they are not in a position to satisfy, not even to affirm. The satisfaction is afforded by the form of knowledge which is no longer representative but logical, and which occurs continually and at every instant in the life of the Spirit.

To deny the existence of this form, or to prove it illusory by substituting other spiritual formations in its place, is an attempt which has been and is made, but which has not succeeded and does not succeed, and which, therefore, may be considered desperate. This series of manifestations, this aspect of reality, this form of spiritual activity, which is the Concept, constitutes the object of Logic.

[Footnote 1: See the first volume of this _Philosophy as Science of the Spirit; Æsthetic as Science of Expression._]

II

THE CONCEPT AND THE PSEUDOCONCEPTS

[Sidenote: _Concepts and conceptual fictions._]

By distinguishing the concept from representations, we have recognized the legitimate sphere of representation, and have assigned to it in the system of spirit the place of an antecedent and more elementary form of knowledge. By distinguishing the concept from states of the soul, from efforts of the will, from action, it is intended also to recognize the legitimacy of the practical form, although we are not here able to enlarge upon its relations with the cognitive form.[1] But by distinguishing the concept from _fictions,_ it would almost seem that in their case we have not explicitly admitted any legitimate province, that, indeed, we have implicitly denied it, since we have adopted for them a designation which in itself sounds almost like a condemnation. This point must be made clear; because it would be impossible to go further with the treatment of Logic, if we left doubtful and insecure, that is, not sufficiently distinguished, one of the terms, from which the concept must be distinguished. What are conceptual fictions? Are they false and arbitrary concepts, morally reprehensible? Or are they spiritual products, which aid and contribute to the life of the spirit? Are they avoidable evils, or necessary functions?

[Sidenote: _The pure concept as ultra- and omnirepresentative._]

A true and proper concept, precisely because it is not representation, cannot have for content any single representative element, or have reference to any particular representation, or group of representations; but on the other hand, precisely because it is universal in relation to the individuality of the representations, it must refer at the same time to all and to each. Take as an example any concept of universal character, be it of _quality,_ of _development,_ of _beauty,_ or of _final cause._ Can we conceive that a piece of reality, given us in representation, however ample it may be (let it even be granted that it embraces ages and ages of history, in all the complexity of the latter, and millenniums and millenniums of cosmic life), exhausts in itself quality or development, beauty or final cause, in such a way that we can affirm an equivalence between those concepts and that representative content? On the other hand, if we examine the smallest fragment of representable life, can we ever conceive that, however small and atomic it be, there is lacking to it quality and development, beauty and final cause? Certainly, it may be and has been affirmed, that things are not quality, but pure quantity; that they do not develop, but remain changeless and motionless; that the criterion of beauty is the arbitrary extension which we make to cosmic reality of some of our narrow individual and historical experiences and sentiments; and that final cause is an anthropomorphic conception, since not "end" but "cause" is the law of the real, not teleology but mechanism and determinism. Philosophy has been and is still engrossed in such disputes; and we do not here present them as definitely solved, nor do we intend to base ourselves upon determinate conceptions in the choice of our examples. The point is, that if the theses which we have just mentioned as opposed to the first, were true, they would furnish, in every case, true and proper concepts, superior to every representative determination, and embracing in themselves all representations, that is to say, every possible experience; and our conception of the concept would not thereby be changed, but indeed confirmed. Final cause or mechanism, development or motionless being, beauty or individual pleasure, would always, in so far as they are concepts, be posited as ultrarepresentative and at the same time omnirepresentative. Even if, as often happens, both the opposed concepts were accepted for the same problem, for example, final cause and mechanism, or development and unmoved substance, it is never intended simply to apply either of them to single groups of representations, but to make them elements and component parts of all reality. Thus, every reality would be, on one side, end, and on the other, cause; on one side, motionless, on the other, changeable; man would have in himself something of the mechanical and something of the teleological; nature would be matter, but urged forward by a first cause which was non-material, that is, spiritual and final, or at least unknown--and so on. When it is demonstrated of a concept that it has been suggested by contingent facts, by this very fact we eliminate it from the series of true concepts, and substitute for it another concept, which is given as truly universal. Or again, we suppress it without substituting another for it, that is to say, we reduce the number of true and proper concepts. Such a reduction is a progress of thought, but it is a progress which can never be extended to the abolition of all concepts, because one, at least, will always remain ineliminable; that of thought, which thinks the abolition; and this concept will be ultra- and omnirepresentative.

[Sidenote: _Conceptual fictions as representative without universality,_]

Fictional concepts or conceptual fictions are something altogether different. In these, either the content is furnished by a group of representations, even by a single representation, so that they are not ultrarepresentative; or there is no representable content, so that they are not omnirepresentative. Examples of the first type are afforded by the concepts of _house, cat, rose_; of the second, those of _triangle,_ or of _free motion._ If we think of the house, we refer to an artificial structure of stone or masonry or wood, or iron or straw, where beings, whom we call men, are wont to abide for some hours, or for entire days and entire years. Now, however great may be the number of objects denoted by that concept, it is always a finite number; there was a time when man did not exist, when, therefore, neither did his house; and there was another time when man existed without his house, living in caverns and under the open sky. Of course, undoubtedly, we shall be able to extend the concept of house, so as to include also the places inhabited by animals; but it will never be possible to follow with absolute clearness the distinction between artificial and natural (the act of inhabiting itself makes the place more or less artificial, by changing, for instance, the temperature); or between the animals which are inhabitants and the non-animals, which nevertheless are inhabitants, such as plants, which, as well as animals, often seek a roof; admitting that certain plants and animals have other plants and animals as their houses. Hence, in view of the impossibility of a clear and universal distinctive character, it is advisable to have recourse at once to enumeration and to give the name house to certain particular objects, which, however numerous they are, are also finite in number, and which, with the enumeration complete, or capable of completion, exclude other objects from themselves. If it is desired to prevent this exclusion, no other course remains than that of understanding by _house_ any mode of life between different beings; but in that case, the conceptual fiction becomes changed into a universal, lacking particular representations, applicable alike to a house and to any other manifestation of the real. The same may be said of the cat and of the rose, since it is evident that cats and roses have appeared on the earth at a definite time and will disappear at another, and that while they endure, they can be looked upon as something fixed and precise, only when we have regard to some particular group of cats and of roses, indeed to one particular cat or rose at a definite moment of its existence (a gray cat or a black cat, a cat or a kitten; a white rose or a red rose, flowering or withered, etc.), elevated into a symbol and representative of the others. There is not, and there cannot be, a rigorous characteristic, which should avail to distinguish the cat from other animals, or the rose from other flowers, or indeed a cat from other cats and a rose from another rose. These and other fictional concepts are, therefore, representative, but not ultrarepresentative; they contain some objects or fragments of reality, they do not contain it all.

[Sidenote: _or universals void of representations_]

The conceptual fictions of the triangle and of free motion have an analogous but opposite defect. With them, it appears, we emerge from the difficulties of representations. The triangle and free motion are not something which begins and ends in time and of which we are not able to state exactly the character and limits. So long as thought, that is to say, thinkable reality, exists, the concept of the triangle and of free motion will have validity. The triangle is formed by the intersection of three straight lines enclosing a space and forming three angles, the sum of which, though they 'vary from triangle to triangle, is equal to that of two right angles. It is impossible to confuse the triangle with the quadrilateral or the circle. Free motion is a motion, which we think of as taking place without obstacles of any sort. It is impossible to confuse it with a motion to which there is any particular obstacle. So far so good. But if those conceptual fictions let fall the ballast of representations, they ascend to a zone without air, where life is impossible; or, to speak without metaphor, they gain universality by losing reality. There is no geometric triangle in reality because in reality there are no straight lines, nor right angles nor sums of right angles, nor sums of angles equal to that of two right angles. There is no free motion in reality, because every real motion takes place in definite conditions and therefore among obstacles. A thought, which has as its object nothing real, is not thought; and those concepts are not concepts but conceptual fictions.

[Sidenote: _Critique of the doctrine which considers them to be erroneous concepts,_]