Logic as the Science of the Pure Concept
Part 32
Neglecting the particular differences between these thinkers and the genetic process by which we pass from one to the other, and taking the result of that speculative movement in its most mature form, which is the philosophy of Hegel, we see in it (like a new, securely established society after the frequent changes of a revolution) the establishment of the new doctrine of the concept. Kant's unconsciousness of the consequences of the _a priori_ synthesis had been such that he had not hesitated to affirm that Logic, since the time of Aristotle, had possessed so just and secure a form as not to need to take one single step backward, and to be unable to take one forward.[15] But Hegel insisted that this was rather a sign that that science demanded complete re-elaboration, since an application of two thousand years should have endowed the spirit with a more lofty consciousness of its own thought and of its own essential nature.[16] What was the concept for Hegel? It was not that of the empirical sciences, which consists in a simple general representation and therefore always in something finite; it is barbaric to give the name concepts to intellectual formations, like "blue," "house," or "animal." Nor was it the mathematical concept, which is an arbitrary construction. All the logical rationality that there is in mathematics is what is called irrational. These so-called concepts are the products of the abstract intellect; the true concept is the product of the concrete intellect, or reason. It has therefore nothing to do with the immediate knowledge of the sentimentalists and of the mystics, and with the intuition of the æstheticists; such formulae as these express the necessity for the concept, but give only a negative determination of it. They assert what it is not in relation to the empirical sciences and then misstate what it is in philosophy. For the rest, the shortcomings of the abstract intellect, generating the pure void or _thing in itself_(which far from being, as Kant believed, unknowable, is indeed the best known thing of all, the abstraction from everything and from thought itself) prepare the environment for the phantasms and caprices of mysticism and intuitionism. The true concept is the _idea,_ and the idea is the absolute unity of the concept and of its objectivity.
[Sidenote: _Identity of the Hegelian Idea with the Kantian a priori synthesis._]
This definition has sometimes seemed whimsical, sometimes most obscure; yet it presents nothing but the elaboration in a more rigorous form of the Kantian _a priori_ synthesis, so that these two terms could without further difficulty be regarded as equivalent; the _a priori_ logical synthesis is the Idea and the Idea is the _a priori_ logical synthesis. If Hegel has not been understood, that is due to the fact that Kant himself has not been understood. Those who assert that they understand what Kant meant to say, but not what Hegel meant to say, deceive themselves. For Kant and Hegel say the same thing, though the latter says it with greater consciousness and clearness, that is to say, better.[17]
[Sidenote: _The Idea and the Antinomies. The Dialectic._]
The idea, the concrete universal, the pure concept, rebels against the mechanical divisions employed for the empirical concepts. For it has its own division, its own proper and intimate rhythm, by means of which it divides and unifies, and unifies itself when dividing and divides itself when unifying. The concept thinks reality, which is not immobile but in motion, not abstract being, but becoming; and therefore in it distinctions are generated one from another and oppositions reconciled. Hegel not only gives the true meaning of the Kantian _a priori_ synthesis, recognizing it as the concrete concept, but replaces the antinomies in its bosom. The contradiction is not due to the limitation of thought before a non-contradictory reality, which thought is unable to attain; it is the character of reality itself, which contradicts itself in itself, and is opposition, _coincidentia oppositorum,_ the synthesis of opposites, or dialectic. A new doctrine of opposites and the outlines of a new doctrine of distinction accompanies the new doctrine of the pure concept. In this philosophy is truly summarized all the previous history of thought. The concept of Socrates has acquired the reality of the idea of Plato, the concreteness of the substance of Aristotle, the unity-in-opposition of Cusanus and Bruno, the Vichian reconciliation of philosophy and philology, the unity-in-distinction of the Kantian synthesis and the æsthetic suppleness of Schelling's intellectual intuition.
[Sidenote: _The lacunæ and errors of the Hegelian Logic. Their consequences._]
Nevertheless, the history of thought does not stop at Hegel. In Hegel himself are found the points to which later history must attach itself; the lacunæ which he left and the errors into which he fell. The fundamental error was the abuse of the dialectic method, which originated for the philosophic solution of the problem of opposites, but was extended by Hegel to the distinct concepts, so that he interpreted even the Kantian synthesis itself as nothing but the unity of opposites. Hence arises his incapacity to attribute their true value and function to the alogical forms of the spirit, such as art, and to the atheoretic, such as the natural sciences and mathematics; and even to logical thought itself, which, violating the laws of the synthesis, ended by imposing itself upon history and the natural sciences, attempting to resolve them into itself by dialectizing them, as the philosophy of history and the philosophy of nature. To this, therefore, is due the philosophism or panlogism which is characteristic of the system. This error was assisted by Hegel's want of clearness as to the nature of the empirical sciences. For him as for Kant, these remained _sciences,_ that is to say, knowledge of truth, although imperfect knowledge of it. They therefore constituted even for him the material or the first step in philosophy. It is true that he also had other more acute and profound thoughts upon this subject. Amid a number of incidental observations, he emphasized the arbitrariness (_Willkurlichkeit_), with which those forms are affected; and this is tantamount to declaring their practical and atheoretic character. But instead of respecting this character, he decided upon surpassing it by means of a philosophic transformation of those sciences, which was not so much their death as pretended philosophies (a most true conclusion), as their elevation to the rank of particular philosophies by means of a mixture of empirical concepts and pure concepts, of abstract intellect and of reason. The erroneous tendency found nourishment and took concrete form in the idea of a Philosophy of nature, which Schelling had obtained, partly from Kant himself and partly had found in his own at first latent and then manifest theosophism. In this way, the system of Hegel became divided into three parts, a Logic-metaphysic, a Philosophy of nature and a Philosophy of Spirit, whereas it should on the contrary have unified Logic and the Philosophy of Spirit, and expelled the Philosophy of nature. By its internal dialectic, panlogism or philosophism was converted, even in Hegel himself, and still more among his disciples, into mythologism, and from the system of the Idea and of absolute immanence, because of the imperfections which they contained, there reappeared theism and transcendence (the Hegelian right wing).[18]
[Sidenote: _Contemporaries of Hegel: Herbart, Schleiermacher, and others._]
It would be vain to seek the correction of Hegel among those thinkers that were his contemporaries, for they were all, though in various degrees, inferior to him. None of them had attained, through Kant, to the height attained by Hegel. Dwelling on a lower level, they could certainly refuse to recognize him and vituperate him, but they could never collaborate with and beyond him, in the progress of truth. Herbart held those concepts to which the particular sciences give rise to be contradictory, but he claimed to surpass the contradiction by means of an elaboration of the concepts (_Bearbeitung der Begriffe_), conducted in the very method of the old Logic, that is, of the Logic of the empirical sciences. Schleiermacher renounced the attempt to reach the unity of the speculative and the empirical, of Ethic and Physics, that is, the realization of the pure idea of knowledge; and he substituted for that ideal, which for him was unattainable, _criticism,_ a form of worldly wisdom; that is to say, of philosophy (_Weltweisheit_) which gave access to theology and to religious feeling.[19] Schopenhauer accepted the distinction between concept and idea, the first abstract and artificial, the second concrete and real; but so slight was his understanding of the idea (which he called the Platonic idea) that he confused it with the concept of natural species,[20] that is to say, precisely with one of the most artificial and arbitrary of empirical concepts. Finally, Schelling, who had been a precursor of Hegel in his youth and had collaborated with him, not only failed to improve his logic of the intuition in his second philosophical period, but he abandoned even this embryonic form of the concrete concept, and gave himself over as a prey to the will and to irrationality. In his positive philosophy the old adversary of Jacobi made a bad combination of the alogism of Jacobi with the Hegelian idea of development and with mythologism, as in metaphysic he had anticipated the blind will of Schopenhauer.[21]
[Sidenote: _Later positivism and psychologism._]
The ensuing period, both in Germany and in the whole of Europe, had little philosophical interest. It was marked by the reappearance of a form of naturalism and of Empiricism, in part justified by the abuse of the dialectic, which had sometimes, in the hands of Hegel's disciples, seemed altogether mad. But this recrudescence was in every way very poor in thought and inadequate to previous history. With this Empiricism is associated the deplorable _Logic_ of John Stuart Mill, one of those books which do least honour to the human spirit. That less than mediocre reasoner did not even succeed in producing a Logic of the natural sciences. He became involved in contradictions and tautologies, talking, for instance, of experience, which criticises itself and imposes its own limits upon itself, and of the principle of causality, as a law which affirms the existence of a law that there shall be a law. Still less had he any notion of what it is to philosophize, maintaining that in order to make progress in the moral and philosophical sciences it is necessary to apply to them the method of the physical sciences. Nothing is more puerile than his nominalism, which gives language a logical character, and then pretends that language must be logically reformed. Logical science was altogether lost in the evolutionism or physiologism of Spencer, and in the psychologism which had and still has many followers in Germany, in France, and in England, not less than in Italy. The state in which the Logic of philosophy is found in such an environment can be inferred from the fact that even mathematical Logic fared ill there, since there have not been wanting those who have dared to conceive a _psychology of arithmetic._ Finally, as a healthy corrective of psychologism, the danger of which to the old Logic had already been noted by Kant,[22] there came the revival of the Aristotelian, and even of the scholastic Logic, in which there yet lived, though in erroneous forms, the idea of the universal which had been discovered by the Greek philosophers.
[Sidenote: _Eclectics. Lotze._]
Other thinkers have not abandoned all contact with classical German philosophy; but, in comparison with the thoughts of Kant and of Kant's great pupils, they seem like children. They try to lift the weapons of the Titans, and either they do not move them at all or they let them fall from their hands, wounding themselves with them, but failing to grip them. The thoughts of Schelling and of Hegel indeed were discredited, but not touched; and those of Kant were touched, but ill-treated. In the most esteemed Logics of this description, such as those of Sigwart and of Wundt, the capital distinction between pure concepts and representative concepts, between _universalia_ and _generalia,_ has no prominence at all. Sigwart is obliged to complete the knowledge obtained from naturalistic and mathematical procedure by faith and by a gradual elevation to the idea of God. Wundt, who does not attribute to philosophy a method which is proper to it and different from that of the other forms of knowledge, conceives the final result of metaphysical thought as the position of a perpetual hypothesis. In the Logic of Lotze, who combated Hegelianism and revived transcendentalism and theism, there is just a luminous streak, a faint trace, of the idealist philosophy. Lotze understands that it is impossible to form (empirical) concepts by simply cancelling the varying parts of representations and preserving the constant parts, and recognizes that the formation of concepts presupposes the concept: the universal is made with the universal. He strives to issue from this circle by positing a _primary_ universal, not formed by the method of the others, but such that thought finds it in itself. This primary universal has nothing particular and representative; and only by means of it is it possible to combine heterogeneous and to differentiate homogeneous elements, and to form the ideas of size, of more or less, of one and of many and such like, with which the _second_ universals of the synthesis are afterwards constructed.[23]
[Sidenote: _New gnoseology of Science. The Economic theory of the scientific concept._]
While students of philosophy, although manifesting some doubt and dissatisfaction, allowed themselves to be intimidated by naturalism (dazzled, like the public, with technical applications, or confounded by the applause of the public), a tendency has become more and more accentuated during the last decades, which seems to us to offer great assistance to Logic and philosophy in general, if it is understood how to adapt it to its true end. It has not had any single centre of diffusion, but has arisen, almost contemporaneously, in several places, becoming at once diffused everywhere, like something that has happened at the right time. Several of its founders and promoters are mathematicians, physicists, and naturalists. From the very fact of their having begun to reflect upon their activity, these men have certainly ceased to be mere specialists, notwithstanding their protests to the contrary. Yet they obtain considerable strength from their specialism, finding in it a guide and a curb to prevent their losing sight in their gnoseological enquiry of the actual procedure of naturalistic constructions, which are its origin. The formula of this tendency is the recognition of the _practical or economic_ character of the mathematical, physical, and natural sciences.
[Sidenote: _Avenarius, Mach._]
The empirocriticism of Avenarius considers science to be a simple description of the forms of experience, and conceptual procedure to be the instrument that alters pure and primitive experience (pure intuition or pure perception) for the purpose of simplifying it. Ernest Mach has developed and popularized these views, for as a student of mechanics he had reached the same conclusions by his own path and in his own way. The physical sciences (he says), not less than zoology and botany, have as their sole foundation the description of natural facts in which there are never identical cases. Identical cases are created by means of the schematic imitation that we make of reality; and here toe lies the origin of the mutual dependence that appears in the character of facts. To this therefore he restricts the significance of the principle of causality, for which (in order to avoid fancifulness and mythologicism) it would be opportune to substitute the concept of _function._ Bodies or things are abbreviated intellectual _symbols_ of groups of sensations; symbols, that is to say, which have no existence outside our intellect. They are cards, like those which dealers attach to boxes and which have no value except in so far as there are goods of value inside the box. In this economic schematicism lies the strength, but also the weakness, of science; for in the presentation of facts science always sacrifices something of their individuality and real appearance, and does not seek exactness in another way save when obliged to do so, by the requirements of a definite moment. Hence the incongruity between experience and science. Since they are developed upon parallel lines, they can reduce to some extent the interval that separates them, but they can never annul it by becoming coincident with one another.[24]
_Rickert,_ in his book on the _Limits of the Naturalistic Concepts,_ maintains similar ideas, though with different cultural assumptions. The concept, which is the result of the labour of the sciences, is nothing but a means to a scientific end. The world of bodies and of souls is infinite in space and time. It is not possible to represent it in every individual part, by reason of its variety, which is not only extensive but also intensive: intuition is inexhaustible. The naturalistic concept is directed to surpassing this infinity of intuitions. It effects this by determining its own extension and comprehension, and by formulating its being in a series of judgments. Thus, in order to conquer intuition altogether, the natural sciences tend to substitute for concepts of _tilings_ concepts of _relations_ free from all intuitive elements. But the ultimate concept must always of necessity be a concept of things (though of things _sui generis,_ immutable, indivisible, perfectly equal among themselves, expressible in negative judgments); and besides, they find everywhere insuperable barriers in the historical or descriptive element, which surrounds them all and is ineliminable. This naturalistic procedure can be applied and is indeed applied, not only to the science of bodies, but also to that of souls, to psychology and sociology; and Rickert opportunely insists (as did Hegel in his time) upon the possibility of empirical sciences of what is called the spiritual world; or (as he says) the word "nature," as used in this connection, means not a reality, but a particular point of view from which reality is observed, in order to reach the end of conceptual simplification.[25]
[Sidenote: _Bergson and the new French philosophy._]
In France, the same ideas or very similar are represented by a group of thinkers, who are called variously philosophers of contingency, of liberty, of intuition, or of action. Bergson, who is the chief of them, looks upon the concepts of the natural sciences in the same way as Mach, as _symboles_ and _étiquettes._ Besides the extremely apposite applications that he has made of this principle to the analysis of time, of duration, of space, of movement, of liberty, of evolution, he has also the great merit of having broken his country's traditions of intellectualism and abstractionism, of giving to France for the first time that lively consciousness of the intuition, which she has always lacked, and of shaking her excessive reliance upon clear distinctions, upon well-turned concepts, upon classes, formulæ, and reasonings that proceed in a straight line, but run upon the surface of reality.[26]
[Sidenote: _Le Roy and others._]
Le Roy, one of the followers of Bergson, has set himself to demonstrate, with many examples, that scientific laws only become rigorous when they are changed into conventions and depend upon vicious circles. The course of events is habitual and regular (if you like to say so), but it is not at all necessary. The great security of astronomical previsions is commonly praised; but that security is not always such in actual fact ("_il y a des comètes qui ne reviennent pas_"), and in any case it is always approximate. The rigorous necessity of which the natural sciences boast, is not known, but is rather postulated, and this postulation has merely the practical object of dominating single facts and of communicating with our neighbours ("_parler le monde_"). The law of gravity holds, but only when external forces do not disturb it. In this way it is well understood that it always holds. The conservation of energy avails only in closed systems; but closed systems are just those in which energy is conserved. A body left to itself persists in the state of repose; but this law is nothing but the definition of a body left to itself, and so on.[27] Poincaré boldly affirms the conventional character of the mathematical and physical sciences, as do Milhaud and several others. They have deduced it as a consequence of the impression aroused by the theories of higher geometry, which has contributed more or less successfully towards revealing the practical character of mathematics, which was formerly held to be the foundation or model of truth and certainty.
[Sidenote: _Reattachment to romantic ideas and advance made upon them._]
All those criticisms directed against the sciences do not sound new to the ears of those Schelling, of Novalis, and of other romantics, and particularly with Hegel's marvellous criticism of the abstract (that is, empirical and mathematical) intellect. This runs through all his books, from the _Phenomenology of the Spirit_ to the _Science of Logic,_ and is enriched with examples in the observations to the paragraphs of the _Philosophy of Nature._ But if compared with that of Hegel, they are at the disadvantage of not being based upon powerful philosophical thought; they have, on the other hand, this superiority: that they do not present the characteristics observed in the sciences as errors which must be corrected, but define them as physiological, necessary, uncensurable characteristics, derived from the very function of the sciences, which is not theoretic, but practical and economic. In this way there is posited one of the premisses that are necessary for preventing the mixture of the economic method with the method of truth, of empirical and abstract concepts with pure theoretic forms, and thus for making impossible that speculative hybridism, which is expressed in philosophies of history and of nature, and which fashions an abstract reason to work out a dialectic of the naturalistic concepts, and even of the representations of history. And with the prevention of this error there is also prepared a more exact idea of the relation between pseudoconcepts and concepts and a better constitution of philosophic Logic.
[Sidenote: _Philosophy of pure experience, of intuition, of action, etc.; and its insufficiency._]