Logic as the Science of the Pure Concept

Part 24

Chapter 243,814 wordsPublic domain

Further, the specialist has his pride, which leads him to exaggerate what he practises and fail to recognize its true nature and limits. The multiplication of the _Sciences_ in our days has no other origin than this; the philosopher contemplates it with astonishment; it is a truly miraculous multiplication of the seven loaves of bread and five small fishes. A _new science_ is announced, whenever a crude idea passes through the brain of a professor. We are made glad with _Sociologies, social Psychologies, Ethnopsychologies, Anthropogeographies, Criminologies, comparative Literatures,_ and so on. Some years ago, an eminent German historian, having observed that some use might be made of genealogical and heraldic studies, generally abandoned to the cultivators and purveyors of the mania for birth and titles, instead of limiting himself to publishing his little collection of minute observations at once proclaimed Genealogy as a science, _Genealogie als Wissenschaft,_ and provided the appropriate manual. This begins by determining the _concept_ of Genealogy, and proceeds to study its relations with history, with the natural sciences, with zoology, with physiology, with psychology and psychiatry, and with the knowable universe.

[Sidenote: _The sciences and academic prejudices._]

Finally, the specialist is generally a teacher, and therefore accustomed to identify eternal ideal science with his real and contingent chair, and the organism of knowledge with that of the university faculties. Hence arises a fashion of conceiving the nature and scope of the sciences that has become habitual in the academic world. It consists of _personifying_ science, and telling this imaginary person what he has to do, without regard to whether the assignment of the task accords or no with the quality of the function. "Logic will be occupied with this, but yet will not neglect this other thing; it will benefit by casting a look on this third thing also, which is extraneous to its task, but not to its interest; nor will it fail to aid, with due regard, the student of an analogous matter, by giving to him suggestions, if not even rules." Whoever reads the scientific books of our times will recognize in this example, not a caricature, but a plan constantly repeated and applied. It was said of the poet Aleardo Aleardi that he treated the Muse like his maid-servant, since he was at every instant addressing himself to her and asking her something. The professor ends by treating Science like his steward, or at least his respectable consort, with whom he naively comes to an agreement regarding the portions that are to form the meals of the day, and other matters concerning the management of the family.

THIRD PART

THE FORMS OF ERRORS AND THE SEARCH FOR TRUTH

I

[Sidenote: _Error as negativity, and impossibility of treating specially of errors._]

Error has sometimes been called privation or _negativity._ It is commonly defined as a thinking of the false, as the non-conformity of thought with its object, and in other similar ways. These are all reducible to the first, since, for example, thought which is of a different form from its object is false thought, which does not attain to its intrinsic end; and false thought is not thought, but privation of thought, negativity.

As negativity error gives rise to a negative concept, responding to the positive concept, which is truth. True and false, truth and error, are related to one another as opposite concepts. Now we know from the logical doctrines just stated that opposite concepts, far from being separable, are not even distinguishable, and when they are distinguished, they represent nothing but the abstract division of the pure concept, of the unique concept, which is the synthesis or dialectic of opposites. And we know from the whole of Philosophy that Reality, thought in the pure concept and of which the pure concept is also an integral element, genuine and truly real Reality, is a perpetual development and progress, which is rendered possible by the negative term intrinsic to the positive and constituting the mainspring of its development.

If then, error is negativity, it is vain to treat it as something positive. No other positivity or reality belongs to it than just negativity, which is a moment of the dialectic synthesis and outside the synthesis is nothing. A treatment of error in this sense already exists quite complete in the treatment of logical truth; and there is nothing special to add here to that argument. As a fact, a form of the spirit distinguishable from the positive and real forms, error does not exist, and philosophy cannot philosophize upon what is not.

[Sidenote: _Positive and existing errors._]

Nevertheless, we all know errors, distinguishable from truth and existing for themselves. The evolutionist affirms the biological formation of the _a priori_; the utilitarian resolves duty into individual interest; the Christian says that God the Father sent his son Jesus to redeem men from the perdition into which they had fallen through the sin of Adam; the Buddhist preaches the annulment of the Will. Are not these true and proper errors? Have they perchance no existence? Have they not been expressed, repeated, listened to, believed? Whoever does not admit the validity of the examples adduced can himself find others; there will certainly be no lack of examples in such a field. Do we wish to maintain that these errors do not exist, in homage to the definition of error as negativity and unreality? They may not exist as truth, but they may perfectly well exist as errors.

[Sidenote: _Positive errors as practical acts._]

There is no way of escaping from this antithesis between the inconceivability of the existence of error and the impossibility of denying the existence of errors which the mind recognizes and the fact proves, save by the solution to which we have several times had occasion to refer. That error, which has existence, is not error and negativity, but something positive, a product of the spirit. And since that product of the spirit is without truth, it cannot be the work of the theoretic spirit. And since beyond the theoretic spirit there is nothing but the practical spirit, error, which we meet with as something existing, must of necessity be a product of the practical spirit. If every way of issue is closed, this one is open; it goes to the very bottom and leads to the place of rest.

Indeed, he who produces an error has no power to twist or to denaturalize or stain the truth, which is his thought itself, the thought which acts in him and in all men; indeed, no sooner has he touched thought than he is touched by it: he thinks and does not err. He possesses only the practical power of passing from thought to _deed_; and his doing, in fact his thinking, is to open his mouth and emit sounds to which there corresponds no thought, or, what is the same thing, no thought which has value, precision, coherence and truth. It is to smear a canvas to which no intuition corresponds; to rhyme a sonnet, combining the phrases of others, which simulate the genius that is absent. Theoretical error, when it is truly so, is inseparable from the life of thought, which to the extent to which it perpetually overcomes that negative moment, is always born anew. When it is possible to separate and consider it in itself, what is before us is not theoretical error, but practical act.

[Sidenote: _Practical acts not practical errors._]

Practical act and not practical error, or Evil; for that practical act is altogether rational. Let him who doubts this cast a glance at those who produce errors. He will be at once convinced that they act with perfect rationality. The dauber produces an object which is asked for in the market by people who wish to have at home pictures of any sort, to cover the walls and to attest to their own easy circumstances or riches, and who are altogether indifferent to the æsthetic significance of those objects. The rhymer wishes to secure an easy success for himself among people who look upon a sonnet as a social amusement. The babbler who emits sounds instead of thoughts, often obtains in virtue of those sounds applause and honour denied to the serious thinker: _un sot trouve toujours un plus sot pour l'admirer._ If, by means of those so-called errors, provision is made for house, firing, food, children's clothes, or for the satisfaction of self-esteem, ambitions and caprices, who will say that they are irrational acts? Man does not live by bread alone, but he does live by bread; and if, by means of those acts, bread is provided, that is to say, if the wants of each one's individuality are met, they are well-directed, far-sighted, fruitful, and therefore most rational.

[Sidenote: _Economically practical, not morally practical._]

This does not, on the other hand, mean that they are moral; they are rational, economically rational but not moral. Morality demands that man should think the true. Producers of errors evade, or rather, do not elevate themselves to that duty. Still intent upon the demands of practical life _qua talis,_ they do not actualize in themselves the universal life, nor do they create in obedience to this last the ethical will and the will for truth. Therefore there arises in their souls, and in the souls of those who see them at work, the desire for another superior activity, which should supervene upon the preceding and complete it. They demand, not only to live, but to live well, to seek not only bread, but that "bread of the angels" with which, as the divine poet says, we are never sated. The expression of this desire manifests itself in a cry of discontent, of reprobation, of anguish, of longing; and therefore, with negative emphasis, it accuses of irrationality that inferior rationality which has to be surpassed, and gives the name theoretical error to that which considered in itself must be called a simple economic act.

[Sidenote: _Doctrine of error, and doctrine of the necessary forms of error._]

The doctrine here expounded is developed from what has been said above, or from developments given elsewhere in the Philosophy of the Spirit. We shall not therefore enlarge further upon the immanence of values in facts, upon evil as the stimulus and concreteness of the good, on the non-existence of evil in itself, on the practical character of theoretical error, on moral responsibility for such error, on the content of desire exhibited by negative statements accompanying judgments of value, and so on. In an exposition of Logic the genesis of the theoretical error could be set aside as presupposed, for in this didactic sphere any one among the common definitions which present error as a thinking of the false is sufficient.

A task in closer connection with Logic is that of enquiring as to the necessary forms of error, the task, that is to say, not of confuting all errors (which is performed by Philosophy as a whole), but of establishing in how many ways the products of the various forms of knowing and of knowledge can be practically combined, and what therefore are the gnoseological possibilities of error. If error is nothing but an _improper combination_ of ideas (as Vico said), we must see the number to which the fundamental forms of these improper combinations can be reduced. In traditional Logic, the theory of error appears as the doctrine of _Sophisms_ or of sophistical refutations: it has the formalist, verbalist, empirical character common to all that Logic. In our Logic, it must have a philosophic character, that is to say, it must depend upon the already distinguished forms of the theoretic spirit, and deduce from them the arbitrary combinations of the errors which are formally possible. The ideas or concepts of the theoretic and theoretic-practical spirit are so many and no more, and so many and no more must be the possible improper combinations of them and the forms of theoretic error.

[Sidenote: _Logical nature of all theoretic errors._]

That theoretical error is always at bottom logical error. This is an important proposition, which merits explicit statement, because it is customary to speak of æsthetic, naturalistic, mathematical and historical errors side by side with those that are properly logical or philosophical. We too have spoken and will speak thus, when more subtle distinctions and more precise determinations are not necessary. But in truth, a fact like _humano capiti cervicem equinam jungere,_ or _simulare cupressum_ in the sea where the shipwrecked struggles in the waves, does not constitute in itself that practical act, called æsthetic error, unless there be added to it the false affirmation that the object produced is an æsthetic object, that is to say, unless there be added a logical affirmation, so that the practical act becomes, by means of it, logical error. Taken in itself, the union of a human head with a horse's neck, or of a cypress with the sea is a sort of play of the imagination, such as occurs in fancy, in idleness and in dream. The extrinsic combination of a fancy and a concept is also altogether innocent, as in the case of allegory, which, in itself, is not unsuccessful art, but becomes so only when it is affirmed that the two heterogeneous elements form only one; or rather, it then becomes, not unsuccessful art, but bad philosophy. In the same way, a mathematical error (for example, the formula 4 x 4 = 20) is nothing but a _flatus vocis,_ such as is made in jest or to loosen the tongue. Only when we add the logical affirmation that in this _flatus vocis_ an effectual multiplication has been expressed, do we have a mathematical error, which is therefore a logical error. It is not possible to consider and to condemn as a theoretical error a combination which does not intend to deceive any one as to its proper nature; neither those to whom it is shown, nor him who has made it. Thus, among æsthetic, naturalistic, mathematical, historical, logical and practical productions, combinations without cognitive content are quite possible and constantly to be found; but they do not become theoretical errors unless they are crowned with an improper logical affirmation, or rather with an arbitrary judgment formed upon a logical affirmation. Indeed, even illogical combinations of philosophic concepts are not, as such, logical or theoretical errors, since they can be made tentatively, in order to see whether the two concepts combine or no. To make them errors, the arbitrariness of a special act of judgment is necessary. That arbitrariness consists in a lying to others or to ourselves, in order to satisfy an interest of our merely individual life, and it is impossible to lie without employing an affirmation, which is always a logical product.

[Sidenote: _History of errors and phenomenology of error._]

In this way the problem of determining the various forms of theoretical errors, according to the already distinguished forms of knowledge, becomes transformed and circumscribed in the other problem of determining the various forms of _logical errors,_ in relation to the various forms of knowledge, that is to say, of determining the necessary forms of philosophic errors. Certainly, every individual errs in his own way, according to the conditions in which he finds himself; just as every individual according to those conditions discovers truth in his own way. But Philosophy in the strict sense (in the form of a philosophical treatise) cannot complete the examination of all individual errors. This is the task of all philosophies as they are developed in the ages and of the thought of all thinking beings, who have been, are, and will be. _Its_ task is to illuminate the eternal ideal history of errors, which is the eternal ideal history of truth, in its relations with the eternal forms of the practical spirit. The Philosophy of the spirit, as a treatise of philosophy, cannot give the history of errors; but must limit itself to giving their _phenomenology._ In this sense is to be understood the enquiry concerning the fundamental forms of philosophical errors. These forms may be briefly deduced as follows.

[Sidenote: _Deduction of the forms of logical errors. Forms deduced from the concept of the concept, and forms deduced from the other concepts._]

The pure concept, which is philosophy, can be incorrectly combined and mistaken either for the form that precedes it, pure representation (art), or for that which follows it, the empirical and abstract concept (natural and mathematical sciences); or it can be wrongly divided in its unity of concept and representation _(a priori_ synthesis), and wrongly again combined--either the concept may be taken as representation, or the representation as concept. Hence arise the fundamental forms of errors which it will be useful to denominate as _æstheticism, empiricism, mathematicism, philosophism,_ and _historicism_ (or _mythologism_). On the other hand, the other distinctions of the concept, or distinct concepts, can be incorrectly combined among themselves in a series of false combinations, corresponding to the series of the other particular philosophic sciences, and hence arise the forms of the other philosophic errors. But in Logic it is sufficient to show the possibility of these last forms of errors, and to adduce certain cases as examples, because a complete determination of them would demand that complete exposition of the whole philosophic system, which cannot be furnished in a treatise on Logic.

[Sidenote: _Errors arising front errors._]

Finally, since it is impossible that any form whatever of these errors, whether specifically logical or generically philosophic, should satisfy the mind, which asks for the true and does not lend itself to deception or mockery, each one of these forms tends to convert itself into the other, owing to its arbitrariety and untenability, and all mutually destroy one another. When the attempt is made to preserve both the true form and the insufficient form, or all the insufficient forms, we have gnoseological dualism; but with the decline to complete destruction, we have the error of _scepticism_ and of _agnosticism._ Finally, if, having been by these led back to life and being deprived of every concept that should illuminate it back to life as a mystery, we affirm that truth lies in that theoretic mystery, in living life without thought, we have the error of _mysticism._ Dualism, scepticism (or agnosticism) and mysticism thus extend both to strictly logical problems (that is to say, to the possibility, in general, of knowing reality), and to all other philosophic problems. Hence we can speak of a practical dualism, of an æsthetic or ethical scepticism, and of an æsthetic or ethical mysticism.

[Sidenote: _Professionalism and nationality of errors._]

Such, stated in a summary manner, is the deduction of philosophic errors, which we shall now proceed to examine in detail. Upon their forms, which represent so many tendencies of the human spirit, is based this other fact, which is constantly striking us, and which may be called the _professionalism_ of errors. Every one is disposed to use in other fields of activity those instruments that are familiar to him in the field which he knows best. The poet by vocation and profession dreams and imagines, even when he should reason; the philosopher reasons even when he should be poetical; the historian seeks authority, even when he should seek the necessity of the human mind; the practical man asks himself of what use a thing is, even when he should ask himself what a thing is; the naturalist constructs classes, even when he should break through them, in order to think real things; the mathematician persists in writing formulae, even when there is nothing to calculate. If the narrowness of the _Esprits mathématiques_ has been denounced, it must not be believed that the other professions have not also got their narrownesses. The philosopher's profession is no exception to this, for he should surpass all one-sided views, but does not always succeed. It is one thing to say and another to do, and if a man forewarned is half saved, he is not therefore altogether saved. That professionalism of error, which we observe in individuals, is also to be observed on a large scale among peoples. Thus we speak of peoples as antiartistic, antiphilosophical, or antimathematical: of speculative Germany, of intellectualist and abstract France, of empiricist England, of Italy as artistic in the centre and the north, and as philosophic in the south. But peoples, like individuals, are changeable and can be educated: so much so that in our days, the traditional Anglo-Saxon empiricism begins little by little to lose ground before the speculative education of the English people, due to classical German thought; France that was abstractionist becomes intuitionist and mystic. Germany leaves the vast dominion of the skies assigned to her by Heine for that of industry and commerce, and philosophizes somewhat unworthily; Italy, which in greater part was a country of artists, poets and politicians, is traversed in every direction by religious and philosophic currents. Were it not for this capacity for education of individuals and peoples, History would not be a free development, but determinism and mechanism, and each of us would possess less of that courage for social activity which each one exhibits with great ardour according to his own convictions.

II

ÆSTHETICISM, EMPIRICISM AND MATHEMATICISM

[Sidenote: _Definition of these forms._]

Æstheticism is the philosophic error which consists in substituting the form of intuition for the form of the concept, and of attributing to the former the office and value of the latter. Empiricism is the analogous substitution of the empirical concept, by means of which philosophic function and value is attributed to the empirical and natural sciences. Finally, mathematicism is the presentation of the abstract concept as concrete concept and of mathematics as philosophy.

[Sidenote: _Æstheticism._]

We have met with æstheticism and with empiricism at the beginning of our exposition, and again here and there throughout its course; and we have sufficiently determined the nature of both and demonstrated the contradictions in which they become involved. In every one of their movements they presuppose the pure concept and the philosophy of which they mean to take the place. At the same time, they do not develop the philosophy which they have presupposed, because they suffocate it in the vapour of the intuitions and in the chilly waters of naturalistic concepts. They are not therefore effective thought, but an adulteration of thought with heterogeneous elements, which by a misuse of words are said to be furnished with theoretic and logical value.

Æstheticism has few representatives, because complete abstention from reflection and reason is too obviously contradictory. Even when art was considered to be a true _instrument_ of philosophy, in the Romantic period, this affirmation was put forward in a confused manner, intuition being finally distinguished from intuition, art from art. This amounted at bottom to a radical change and an abandonment of the original thesis. We have seen æstheticism reappear in our times under the name of _intuitionism,_ or again as _pure experience:_ an experience which is taken to be not posterior, but anterior to every intellectual category, and should therefore be called nothing but pure intuition.

[Sidenote: _Empiricism_]