LOGIC AS THE SCIENCE OF THE PURE CONCEPT
TRANSLATED FROM THE ITALIAN OF
BENEDETTO CROCE
BY
DOUGLAS AINSLIE
B.A. (OXON.), M.R.A.S.
MACMILLAN AND CO., LIMITED
ST. MARTIN'S STREET, LONDON
1917
Benedetto Croce's Philosophy of the Spirit, in the English translation by Douglas Ainslie, consists of 4 volumes (which can be read separately):
1. Aesthetic as science of expression and general linguistic. (A first ed. is available at Project Gutenberg. A second augmented ed. follows.)
2. Philosophy of the practical: economic and ethic. (In preparation)
3. Logic as the science of the pure concept.
4. Theory and history of historiography. (In preparation)
Transcriber's note.
[TRANSLATOR'S PREFACE]
The publication of this third volume of the Philosophy of the Spirit offers a complete view of the Crocean philosophy to the English-speaking world.
I have striven in every way to render the Logic the equal of its predecessors in accuracy and elegance of translation, and have taken the opinion of critical friends on many occasions, though more frequently I have preferred to retain my own. The vocabulary will be found to resemble those of the Æsthetic and the Philosophy of the Practical, thereby enabling readers to follow the thought of the author more easily than if I had made alterations in it. Thus the word "fancy" will be found here as elsewhere, the equivalent of the Italian "fantasia" and "imagination" of "immaginazione"; this rendering makes the meaning far more clear than the use of the words in the opposite sense that they occasionally bear in English; this is particularly so in respect of the important distinction of the activities in the early part of the Æsthetic. I have also retained the word "gnoseology" and its derivatives, as saving the circumlocutions entailed by the use of any paraphrase, especially when adjectival forms are employed.
I think that this Logic will come to be recognized as a masterpiece, in the sense that it supplants and supersedes all Logics that have gone before, especially those known as formal Logics, of which the average layman has so profound and justifiable mistrust, for the very good reason that, as Croce says, they are not Logic at all, but illogic—his healthy love of life leads him to fight shy of what he feels would lead to disaster if applied to the problems that he has to face in the conduct of life. It is shown in the following pages that the prestige of Aristotle is not wholly to blame for the survival of formal Logic and for the class of mind that denying thought dwells ever in the ipse dixit. Indeed, one of the chief boons conferred by this book will be the freeing of the student from that confusion of thought and word that is the essence of the old formal Logic—of thought that rises upon the wings of words, like an aviator upon his falcon of wood and metal to spy out the entrenchments of the enemy.
One of the most stimulating portions of the book will, I think, be found in Croce's theory of error and proof of its necessity in the progress of truth. This may certainly be credited to Croce as a discovery. That this theory of the uses of error has a great future, I have no doubt, from its appearance at certain debates on Logic that have taken place at the Aristotelian Society within the last year or two, though strangely enough the name of the philosopher to whom it was due was not mentioned. A like mysterious aposiopesis characterized Professor J. A. Smith's communication to the same Society as to the development of the ethical from the economic activity (degrees of the Spirit) some years after the publication of the Philosophy of the Practical.
It is my hope that this original work, appearing as it does in the midst of the great struggle with the Teutonic powers, may serve to point out to the Anglo-Saxon world where the future of the world's civilization lies, namely in the ancient line of Latin culture, which includes in itself the loftiest Hellenic thought. It is sad to think that the Germans have relapsed to barbarism from the veneer of cultivation that they once possessed, particularly sad when one comes upon the German names that must always abound in any treatise on the development of thought. Their creative moment, however, was very brief, and the really important names can be numbered on the fingers of one hand, that of Emmanuel Kant being corrupted from the Scots Cant. Of recent years the German contribution has been singularly small and unimportant, such writers as Eucken being mere compilers of the work of earlier philosophers, and without originality. The foul-souled Teuton will need a long period of re-education before he can be readmitted to the comity of nations upon equal terms—his bestiality will ask a potent purge.
In conclusion, I can only hope that the fact of this work having been put into the hands of readers a decade earlier than would in all probability have been the case, had I not been fortunate enough to make a certain journey to Naples, will be duly taken advantage of by students, and that it will serve for many as a solid foundation for their thought about thought, and so of their thought about the whole of life and reality in the new world that will succeed the War.
DOUGLAS AINSLIE.
THE ATHENAEUM, PALL MALL,
March 1917.
[ADVERTISEMENT]
This volume is, and is not, the memoir entitled Outlines of Logic as the Science of the Pure Concept, which I presented to the Accademia Pontiana at the sessions of April 10 and May 1, 1904, and April 2, 1905, and which was inserted in volume xxxv. of the Transactions (printed as an extract from them by Giannini, Naples, 1905, in quarto, pp. 140).
I might have republished that memoir, and made in it certain corrections, great and small, and especially I might have enriched it with very numerous developments. But partial corrections and copious additions, while they would have injured the arrangement of the first work, would not have allowed me to attain to that more secure and fuller exposition of logical doctrine which, after four years' study and reflection, it now seems to be in my power to offer. I have therefore resolved to rewrite the work from the beginning on a larger scale, with a new arrangement and new diction regarding its predecessor as a sketch, which in a literary sense stands by itself, and only making use of a page, or group of pages, here and there, as suited the natural order of exposition.
Owing to this connection between the present volume with the above-mentioned academic memoir, it will be seen in what sense it may be called, and is called, a "second edition." It is a second edition of my thought rather than of my book.
B. C.
NAPLES,
November 1908.
[PREFACE TO THIRD ITALIAN EDITION OF THE LOGIC]
On reprinting the present volume, after an interval of seven years, I have reread it with attention to its literary form, but have made no substantial changes or additions to it; because the further development of that part which deals with the logic of Historiography has been collected in a special volume, forming as it were an appendix. This is now the fourth volume of the Philosophy of the Spirit.
It seemed to many, upon the first publication of this volume, that it chiefly consisted of a very keen attack upon Science. Few, above all, discovered what it was: a vindication of the seriousness of logical thought, not only in respect to empiricism and abstract thought, but also to intuitionist, mystical and pragmatistic doctrines, and to all the others then very vigorous, which, including justly combated positivism, distorted every form of logicity.
Nor, in truth, did its criticism of Science favour what is known as a philosophy "detesting facts": indeed, the chief preoccupation of that criticism was meticulous respect of facts, which was neither observed nor observable in empirical and abstract constructions and in the analogous mythologies of naturalism. The character of this Logic might equally be described as affirmation of the concrete universal and affirmation of the concrete individual, as proof of the Aristotelian Scientia est de universalibus and proof of Campanula's Scientia est de singularibus. In this manner those empty generalizations and fictitious riches which are removed from philosophy in the course of treatment, there appear more than amply, infinitely compensated for by the restitution to it of its own riches, of the whole of history, both that known as human and that known as history of nature. Henceforward it can live there as in its own dominion, or rather its own body, which is co-extensive with and indivisible from it. The separation there effected by philosophy from science is not separation from what is true knowledge in science, that is from the historical and real elements of science. It is only separation from the schematic form in which those elements are compressed, mutilated and altered. Thus it may also be described as a reconnection of it with what of living, concrete and progressive exists in those sciences. If the destruction of anything be aimed at in it, that can clearly be nothing but abstract and anti-historical philosophy. This Logic must thus be looked upon as a liquidation of philosophy rather than of science, if abstract science be posited as true philosophy.
That point is dwelt upon in the polemic against the idea of a general philosophy which should stand above particular philosophies, or the methodological problems of historical thought. The distinction of general philosophy from particular philosophies (which are true generality in their particularity) seems to me to be the gnoseological residue of the old dualism and of the old transcendency; a not innocuous residue, for it always tends to the view that the thoughts of men upon particular things are of an inferior, common and vulgar nature, and that the thought of totality or unity is alone superior and alone completely satisfying. The idea of a general philosophy prepares in this way consciously or otherwise for the restoration of Metaphysic, with its pretension of rethinking the already thought by means of a particular thought of its own. This, when it is not altogether religious revelation, becomes the caprice of the individual philosopher. The many examples offered by post-Kantian philosophy are proof of this. Here Metaphysic raged so furiously and to such deleterious effect as to involve guiltless philosophy in its guilt. The latent danger always remains, even if this restoration of Metaphysic does not take place, for if it never becomes effective because it is carefully watched and restrained, the other draw-back persists, namely, that that general philosophy, or super-philosophy or super-intelligence desired, while it does not succeed in making clear particular problems, which alone have relation to concrete life, nevertheless in a measure discredits them, by judging them to be of slight importance and by surrounding them with a sort of mystical irony.
To annul the idea of a "general" philosophy is at the same time to annul the "static" concept of the philosophic system, replacing it with the dynamic concept of simple historical "systemizations" of groups of problems, of which particular problems and their solutions are what remain, not their aggregate and external arrangement. This latter satisfies the needs of the times and of authors and passes away with them, or is preserved and admired solely for æsthetic reasons when it possesses them. But those who retain some superstitious reverence for "General Philosophy" or "Metaphysic" have still a superstitious reverence for what are known as static systems. In so doing they behave in a rational manner, for they cannot altogether free themselves from the claims of a definitive philosophy which is to solve once and for all the so-called "enigma of the world" (imaginary because there are infinite enigmas which appear and are solved in turn, but there is not the Enigma), and is to provide the "true system" or "basis" of the true system. Nevertheless I hope that good fortune will attend the doctrine of the concept here set out, not only because it seems to me to afford the satisfaction proper to every statement of truth, namely, to accord with the reality of things, but also (if I may so express myself) because it carries with it certain immediate and tangible advantages. Above all, it relieves the student of philosophy of the terrible responsibility—which I should never wish to assume—of supplying the Truth, the unique eternal Truth, and of supplying it in competition with all the greatest philosophers who have appeared in the course of centuries. Further, it removes from him together both the hope of the definitive system and the anxious fear of the mortal doom which will one day strike the very system that he has so lovingly constructed, as it has struck those of his predecessors. At the same time it sets him out of reach of the smiling non-philosophers who foresee with accuracy and are almost able to calculate the date of that not distant death. Finally, it frees him from the annoyance of the "school" and of the "scholars"; "school" and "scholars" in the sense of the old metaphysicians are no longer even conceivable, when the idea of "systems" having-their "own principles" has been abolished. All dynamic systems or provisory systemizations of ever new problems have the same principle, namely, Thought, perennis philosophia. There has not been and never will be anything to add to this. And although the many propositions and solutions of problems strive among themselves to attain harmony, yet to each, if it be truly thought, is promised eternal life, which gives and receives vigour from the life of each of the others. This is just the opposite of what takes place with static systems which collapse, one upon the other, only certain portions of good work surviving them in the shape of happy treatment of special problems which are to be found mingled with the metaphysic of every true philosopher. And although there is no longer a field left over to these scholars who merely faithfully echo the master, like adepts of a religion, there is yet a wide field always open to the other type of scholar, men who pay serious attention and assimilate what is of use to them in the thought of others, but then proceed to state and to solve new problems of their own. Finally, the life of philosophy as conceived and portrayed in this Logic, resembles the life of poetry in this: that it does not become effective save in passing from different to different, from one original thinker to another, as poetry passes from poet to poet, and imitators and schools of poetry, although they certainly belong to the world, yet do not belong to the world of poetry.
B. C.
September 1916.
CONTENTS
FIRST PART
THE PURE CONCEPT, THE INDIVIDUAL JUDGMENT AND THE A PRIORI LOGICAL SYNTHESIS
FIRST SECTION
THE PURE CONCEPT AND THE PSEUDOCONCEPTS
I
AFFIRMATION OF THE CONCEPT [3]
Thought and sensation—Thought and language—Intuition and language as presuppositions—Scepsis as to the concept—Its three forms—Æstheticism—Mysticism—Empiricism—Redactio ad absurdum of the three forms—Affirmation of the concept.
II
THE CONCEPT AND THE PSEUDOCONCEPTS [19]
Concept and conceptual fictions—The pure concept as ultra- and omnirepresentative—Conceptual fictions as representative without universality, or universals void of representations—Criticism of the doctrine which considers them to be erroneous concepts, or imperfect concepts preparatory to perfect concepts—Posteriority of fictional concepts to true and proper conceptsmdash;Proper character of conceptual fictions—The practical end and mnemonic utility—Persistence of conceptual fictions side by side with concepts—Pure concepts and pseudoconcepts.
III
THE CHARACTERISTICS AND THE CHARACTER OF THE CONCEPT [40]
Expressivity—Universality—Concreteness—The concrete-universal and the formation of the pseudoconcepts—Empirical and abstract pseudoconcepts—The other characteristics of the pure concept—The origin of multiplicity and the unity of the characteristics of the concept—Objection relating to the unreality of the pure concept and the impossibility of demonstrating it—Prejudice concerning the nature of the demonstration—Prejudice relating to the representability of the concept—Protests of philosophers against this prejudice—Reason of their perpetual reappearance.
IV
DISPUTES CONCERNING THE NATURE OF THE CONCEPT [58]
Disputes of materialistic origin—The concept as value—Realism and nominalism—Critique of both—True realism—Resolution of other difficulties as to the genesis of concepts—Disputes arising from the neglected distinction between empirical and abstract concepts—Intersection of the various disputes—Other logical disputes—Representative accompaniment of the concept—Concept of the thing and concept of the individual—Reasons, laws and causes—Intellect and Reason—The abstract reason and its practical nature—The synthesis of theoretical and practical and intellectual intuition—Uniqueness of thought.
V
CRITIQUE OF THE DIVISIONS OF THE CONCEPTS AND
THEORY OF DISTINCTION AND DEFINITION [72]
The pseudoconcepts, not a subdivision of the concept—Obscurity, clearness and distinction, not subdivisions of the concept—Inexistence of subdivisions of the concept as logical form—Distinctions of the concepts not logical, but real—Multiplicity of the concepts; and logical difficulty arising therefrom. Necessity of overcoming it—Impossibility of eliminating it—Unity as distinction—Inadequacy of the numerical concept of the multiple—Relation of distincts as ideal history—Distinction between ideal history and real history—Ideal distinction and abstract distinction—Other usual distinctions of the concept, and their significance—Identical, unequal, primitive and derived concepts, etc.—Universal, particular and singular. Comprehension and extension—Logical definition—Unity-distinction as a circle—Distinction in the pseudoconcepts—Subordination and co-ordination of empirical concepts—Definition in empirical concepts, and forms of the concept—The series in abstract concepts.
VI
OPPOSITION AND LOGICAL PRINCIPLES [92]
Opposite or contradictory concepts—Their diversity from distincts—Confirmation of this afforded by empirical Logic—Difficulty arising from the double type of concepts, opposite and distinct—Nature of opposites; and their identity, when they are distinguished, with distincts—Impossibility of distinguishing one opposite from another, as concept from concept—The dialectic—Opposites are not concepts, but the unique concept itself—Affirmation and negation—The principle of identity and contradiction; true meaning, and false interpretation of it—Another false interpretation: contrast with the principle of opposition. False application of this principle also—Errors of the dialectic applied to the relation of distincts—Its reduction to the absurd—The improper form of logical principles or laws—The principle of sufficient reason.
SECOND SECTION
INDIVIDUAL JUDGMENT
I
THE CONCEPT AND THE VERBAL FORM. THE DEFINITIVE JUDGMENT [108]
Relation of the logical with the æsthetic form—The concept as expression—Æsthetic and æsthetic-logical expressions or expressions of the concept: propositions and judgments—Overcoming of the dualism of thought and language—The logical judgment as definition—Indistinction of subject and predicate in the definition—Unity of essence and existence—Pretended vacuity of the definition—Critique of the definition as fixed verbal formula.
II
THE CONCEPT AND THE VERBAL FORM. THE SYLLOGISM [120]
Identity of definition and syllogism—Connection of concepts and thinking of concepts—Identity of judgment and syllogism—The middle term and the nature of the concept—Pretended non-definitive logical judgments—The syllogism as fixed verbal formula—Use and abuse of it—Erroneous separation of truth and reason of truth in pure concepts—Separation of truth and reason of truth in the pseudoconcepts.
III
CRITIQUE OF FORMAL LOGIC [133]
Intrinsic impossibility of formal Logic—Its nature—Its partial justification—Its error—Its traditional constitution—The three logical forms—Theories of the concept and of the judgment—Theory of the syllogism—Spontaneous reductions to the absurd of formal Logic—Mathematical Logic or Logistic—Its non-mathematical character—Example of its mode of treatment—Identity of nature of Logistic and formal Logic—Practical aspect of Logistic.
IV
INDIVIDUAL JUDGMENT AND PERCEPTION [148]
Reaction of the concept upon the representation—Logicization of the representations—The individual judgment; and its difference from the judgment of definition—Distinction of subject and predicate in the individual judgment—Reasons for the variety of definitions of the judgment and of some of its divisions—Individual judgment and intellectual intuition—Identity of individual judgment with perception or perceptive judgment, and with commemorative or historical judgment—Erroneous distinction of individual judgments as of fact and of value—The individual judgment as ultimate and perfect form of knowledge—Error of treating it as the first fact of knowledge—Motive of this error—Individual syllogisms.
V
THE INDIVIDUAL JUDGMENT AND THE PREDICATE OF EXISTENCE [161]
The copula: its verbal and logical significance—Questions relating to propositions without a subject. Verbalism—Confusion between different forms of judgments in the question of existentiality—Determination and subdivision of the question concerning the existentiality of individual judgments—Necessity of the existential character in these judgments—The absolutely and the relatively inexistent—The character of existence as predicate—Critique of existentiality as position and faith—Absurd consequences of those doctrines—The predicate of existence as not sufficient to constitute a judgment—The predicate of judgment as the totality of the concept.
VI
INDIVIDUAL PSEUDOJUDGMENTS. CLASSIFICATION AND ENUMERATION [179]
Individual pseudojudgments—Their practical character—Genesis of the distinction between judgments of fact and judgments of value; and critique of it—Importance of individual pseudojudgments—Empirical individual and individual abstract judgments—Formative process of empirical judgments—Their existential basis—Dependence of empirical judgments upon pure concepts—Empirical judgments as classification—Classification and understanding—Substitution of the one for the other, and genesis of perceptive and judicative illusions—Abstract concepts and individual judgments—Impossibility of direct application of the first to the second—Intervention of empirical judgments as intermediate—Reduction of the heterogeneous to the homogeneous—Empirical abstract judgments and enumeration (mensuration, etc.)—Enumeration and intelligence—The so-called conversion of quantity into quality—Mathematical space and time and their abstractness.
THIRD SECTION
IDENTITY OF THE PURE CONCEPT AND THE INDIVIDUAL JUDGMENT THE LOGICAL A PRIORI SYNTHESIS
I
IDENTITY OF THE JUDGMENT OF DEFINITION (PURE CONCEPT) AND OF THE INDIVIDUAL JUDGMENT [198]
Result of preceding enquiry: the judgment of definition and the individual judgment—Distinction between the two: truth of reason and truth of fact, necessary and contingent, etc.; formal and material—Absurdities arising from these distinctions: the individual judgment as ultra-logical; or, duality of logical forms—Difficulty of abandoning the distinction—The hypothesis of reciprocal implication, and so of the identity of the two forms—Objection; the lack of representative and historical element in the definitive—The historical element in the definitions taken in their concreteness—The definition as answer to a question and solution of a problem—Individual and historical conditionally of every question and problem—Definition as also historical judgment—Unity of truth of reason and truth of fact—Considerations in confirmation of this—Critique of the false distinction between formal and material truths—Platonic men and Aristotelian men—Theory of application of the concepts, true for abstract concepts and false for true concepts.
II
THE A PRIORI LOGICAL SYNTHESIS [218]
The identity of the judgment of definition and of the individual judgment, as synthesis a priori—Objections to the synthesis a priori, deriving from abstractionists and empiricists—False interpretation of the synthesis a priori—Synthesis a priori in general and logical synthesis a priori—Non-logical synthesis a priori— The synthesis a priori, as synthesis, not of opposites, but of distincts—The category in the judgment. Difference between category and innate idea—The synthesis a priori, the destruction of transcendency, and the objectivity of knowing—Power of the synthesis a priori remained unknown to its discoverer.
III
LOGIC AND THE DOCTRINE OF THE CATEGORIES [232]
The demand for a complete table of the categories—This demand extraneous to Logic—Logical categories and real categories—Uniqueness of the logical category: the concept. The other categories, no longer logical, but real. Systems of categories—The Hegelian system of the categories, and other posterior systems—The logical order of the predicates or categories—Illusion as to the logical reality of this order—The necessity of an order of the predicates not founded upon Logic in particular, but upon the whole of Philosophy—False distinction of Philosophy into two spheres—Metaphysic and Philosophy, rational Philosophy and real Philosophy, etc., derived from the confusion between Logic and Doctrine of the categories—Philosophy and pure Logic, etc.; overcoming of the dualism.
SECOND PART
PHILOSOPHY, HISTORY AND THE NATURAL AND MATHEMATICAL SCIENCES
I
THE FORMS OF KNOWLEDGE AND THE DIVISIONS OF KNOWLEDGE [247]
Summary of the results relating to the forms of knowledge—Non-existence of technical forms, and of composed forms—Identity of forms of knowledge and of knowing. Objections to them—Empirical distinctions and their limits—Enumeration and determination of the forms of knowing reality, corresponding to the forms of knowledge—Critique of the idea of a special Logic as doctrine of the forms of knowing the external world and of a special Logic as doctrine of the methods—Nature of our treatment of the forms of knowledge.
II
PHILOSOPHY [261]
Philosophy as pure concept; and the various definitions of philosophy—Those which negate philosophy—Those which define it as science of supreme principle, of final causes, etc.; contemplation of death, etc.; as elaboration of the concepts, as criticism, as science of norms; as doctrine of the categories—Exclusion of material definitions from philosophy—Idealism of every philosophy—Systematic character of philosophy—Philosophic significance and literary significance of the system—Advantages and disadvantages of the literary form of the system—Genesis of the systematic prejudice, and rebellion against it—Sacred and philosophic numbers; meaning of their demand—Impossibility of dividing philosophy into general and particular—Disadvantages of the conception of a general philosophy, distinct from particular philosophies.
III
HISTORY [279]
History as individual judgment—The individual element and historical sources: relics and narrative—The intuitive faculty in historical research—The intuitive faculty in historical exposition. Resemblance of history and art. Difference between history and art—The predicate or logical element in history—Vain attempts to eliminate it—Extension of historical predicates beyond the limits of mere existence—Asserted unsurmountable variance in judging and presenting historical facts and consequent demand for a history without judgment—Restriction of variance, and exclusion of apparent variances—Overcoming of variances by means of deep study of the concepts—Subjectivity and objectivity in history: their meaning—Historical judgments of value, and normal or neutral values. Critique—Various legitimate meanings of protests against historical subjectivity—The demand for a theory of historical factors—Impossibility of dividing history according to its intuitive and reflective elements—Empiricity of the division of the historical process into four stages—Divisions founded upon the historical object—Logical division according to the forms of the spirit—The empirical division of the representative material—Empirical concepts in history; and the false theory as to the function they fulfil there—Hence also the claim to reduce history to a natural science; and the thesis of the practical character of history—Distinction between historical facts and non-historical facts; and its empirical value—The professional prejudice and theory of the practical character of history.
IV
IDENTITY OF PHILOSOPHY AND HISTORY [310]
Necessity of the historical element in philosophy—Historical quality of the culture required of the philosopher—Apparent objections—Communication of philosophy as changing of philosophy—Perpetuity of this changing—The overcoming and continuous progress of philosophy—Meaning of the eternity of philosophy—The concept of spontaneous, ingenuous, innate philosophy, etc.; and its meaning—Philosophy as criticism and polemic—Identity of philosophy and history—Didactic divisions, and other reasons for the apparent duality—Note.
V
THE NATURAL SCIENCES [330]
The natural sciences as empirical concepts, and their practical nature—Elimination of an equivocation concerning this practical character—Impossibility of unifying them in one concept—Impossibility of introducing into them rigorous divisions—Laws in the natural sciences, and so-called prevision—Empirical character of naturalistic laws—The postulate of the uniformity of nature, and its meaning—Pretended impossibility of exceptions to natural laws—Nature and its various meanings. Nature as passivity and negativity—Nature as practical activity —Nature in its gnoseological significance, as naturalistic or empirical method—The illusions of materialists and dualists—Nature as empirical distinction of an inferior reality in respect to a superior reality—The naturalistic method, and the natural sciences as extending to superior not less than to inferior reality -Claim for such extension, and effective existence of what is claimed—Historical foundation of the natural sciences—The question whether history be foundation or crown of thought—Naturalists as historical investigators—Prejudices as to non-historicity of nature—Philosophic foundation of the natural sciences, and effect of philosophy upon them—Effect of natural sciences upon philosophy, and errors in conceiving such relation—Reason of these errors. Naturalistic philosophy—Philosophy as the destroyer of naturalistic philosophy, but not of the natural sciences. Autonomy of these.
VI
MATHEMATICS AND THE MATHEMATICAL SCIENCE OF NATURE [362]
Idea of a mathematical science of nature—Various definitions of mathematics—Mathematical procedure—Apriority of mathematical principles—Contradictoriness of the a priori principles. They are not thinkable, and not intuitive—Identification of mathematics with abstract pseudoconcepts—The ultimate end of mathematics: to enumerate, and, therefore, to aid the determination of the single. Its place—Particular questions concerning mathematics—Rigour of mathematics and rigour of philosophy—Loves and hates between the two forms—Impossibility of reducing the empirical sciences to the mathematical; and the empirical limits of the mathematical science of nature—Decreasing utility of mathematics in the loftiest spheres of the real.
VII
THE CLASSIFICATION OF THE SCIENCES [378]
Theory of the forms of knowledge and doctrine of the categories—Problem of classification of the sciences; its empirical nature—Falsely philosophic character that it assumes—Coincidence of that problem with the search for the categories, when understood with philosophic rigour—Forms of knowledge and literary-didactic forms—Prejudices derived from the latter—Methodical prologues to scholastic manuals, their impotence—Capricious multiplication of the sciences—The sciences and professional prejudices.
THIRD PART
THE FORMS OF ERROR AND THE SEARCH FOR TRUTH
I
ERROR AND ITS NECESSARY FORMS [391]
Error as negativity; impossibility of a special treatment of errors—Positive and existing errors—Positive errors as practical acts— Practical acts and not practical errors—Economically practical acts, not morally practical acts—Doctrine of error, and doctrine of necessary forms of error—Logical nature of all theoretical errors—History of errors and phenomenology of error—Deduction of the forms of logical errors. Forms deduced from the concept of the concept, and forms deduced from the other concepts—Errors derived from errors—Professionally and nationality of errors.
II
ÆSTHETICISM, EMPIRICISM AND MATHEMATICISM [406]
Definition of these forms—Æstheticism—Empiricism—Positivism, the philosophy founded upon the sciences, inductive metaphysic—Empiricism and facts—Bankruptcy of Empiricism: dualism, agnosticism, spiritualism and superstition—Evolutionistic positivism and rationalistic positivism—Mathematicism—Symbolical mathematics—Mathematics as a form of demonstration of philosophy—Errors of mathematical philosophy—Dualism, agnosticism and superstition of mathematicism.
III
THE PHILOSOPHISM [420]
Rupture of the unity of the a priori synthesis—Philosophism, logicism or panlogicism—Philosophy of history—Contradictions in its assumptions—Philosophy of history and false analogies—Distinction between Philosophy of history and books so entitled—Merits of these, philosophic and historical—Philosophy of nature—Its substantial identity with Philosophy of history—Contradictions of Philosophy of nature—Books entitled Philosophy of nature—Contemporary seekings for a Philosophy of nature and their various meanings.
IV
THE MYTHOLOGISM [438]
Rupture of the unity of the a priori synthesis. The mythologism—Essence of myth—Problems relating to theory of myth—Myth and religion—Identity of the two spiritual forms—Religion and philosophy—Conversion of errors, the one into the other—Conversion of the mythologism into philosophism (theology) and of the philosophism into the mythologism (mythology of nature, historical apocalypses, etc.)—Scepsis.
V
DUALISM, SCEPTICISM AND MYSTICISM [449]
Dualism—Scepsis and scepticism—Mystery—Critique of affirmations of mystery in philosophy—Agnosticism as a particular form of scepticism—Mysticism—Errors in other parts of philosophy—Conversion of these errors into one another and into logical errors.
VI
THE ORDER OF ERRORS AND THE SEARCH FOR TRUTH [462]
Necessary character of the forms of errors. Their definite number—Their logical order—Examples of this order in various parts of philosophy—Erring spirit and spirit of search—Immanence of error in truth—Erroneous distinction between possession of and search for truth—Search for truth in the practical sense of preparation for thought; the series of errors—Transfiguration of error into tentative or hypothesis in the search so understood—Distinction between error as error and error as hypothesis—Immanence of the tentative in error itself as error—Individuals and error—Duplicate aspect of errors—Ultimate form of error: the methodological error or hypotheticism.
VII
THE PHENOMENOLOGY OF ERROR AND THE HISTORY OF PHILOSOPHY [479]
Inseparability of phenomenology of error from the philosophical system—The eternal course and recurrence of errors—Returns to anterior philosophies; and their meaning—False idea of a history of philosophy as history of the successive appearance of the categories and of errors in time—Philosophism case in point of this false view, as is the formula concerning the identity of philosophy and history of philosophy—Distinction between this false idea of a history of philosophy, and the books which take it as their title or programme—Exact formula: identity of philosophy and history—History of philosophy and philosophic progress—The truth of all philosophies; and criticism of eclecticism—Researches for authors and precursors of truths; reason for the antinomies which they exhibit.
VIII
"DE CONSOLATIONE PHILOSOPHIAE" [493]
Logic and defence of Philosophy—Utility of Philosophy and the Philosophy of the practical—Consolation of philosophy, as joy of thought and in the true. Impossibility of a pleasure arising from falsity and illusion—Critique of the concept of a sad truth—Examples: Philosophical criticism and the concepts of God and Immortality—Consolatory virtue, pertaining to all spiritual activities—Sorrow and elevation of sorrow.
FOURTH PART
HISTORICAL RETROSPECT
I
HISTORY OF LOGIC AND HISTORY OF PHILOSOPHY [503]
Reality, Thought and Logic—Relation of these three terms—Inexistence of a general philosophy outside particular philosophic sciences; and, in consequence, of a general History of philosophy outside the histories of particular philosophic sciences—Histories of particular philosophies and literary value of such division—History of Logic in its particular sense—Works dealing with history of Logic.
II
THEORY OF THE CONCEPT [512]
Question as to the "father of Logic"—Socrates, Plato, Aristotle —Enquiries as to the nature of the concept in Greece. Question of transcendency and immanence—Controversies in Plato concerning the various forms of the concept—Philosophic, empirical and abstract concepts in Aristotle. Philosophy, physics, mathematics—Universals of the "always" and those of "for the most part"—Logical controversies in the Middle Ages—Nominalism and realism—Nominalism, mysticism and coincidence of opposites—Renaissance and mysticism—Bacon—Ideal of exact science and Cartesian philosophy—Adversaries of Cartesianism—Vico—Empiristic logic and its dissolution. Locke, Berkeley and Hume—Exact science and Kant. Concept of the category—Limits of science, and Jacobi—Positive elements in Kantian scepticism—The synthesis a priori—Inward contradiction in Kant. Romantic principle and classic execution—Progress since Kant: Fichte, Schelling, Hegel—Logic of Hegel. The concrete concept or Idea—Identity of Hegelian Idea and Kantian synthesis a priori—The Idea and the antinomies. The dialectic—Lacunæ and errors in Hegelian Logic. Their consequences—Contemporaries of Hegel: Herbart, Schleiermacher and others—Posterior positivism and psychologicism—Eclectics. Lotze—New gnoseology of the sciences. Economic theory of scientific concept. Avenarius, Mach—Rickert—Bergson and the new French philosophy—Le Roy, and others—Reattachment to romantic ideas, and progress upon them—Philosophy of pure experience, of intuition, of action, etc.: and its insufficiency—The theory of values.
III
THEORY OF THE INDIVIDUAL JUDGMENT [561]
Secular neglect of theory relating to history—Ideas upon history in Græco-Roman world—Theory of history in mediæval and modern philosophy—Writers on historical art in the sixteenth century—Writers on method—Theory of history and G. B. Vico—Anti-historicism of eighteenth century, and Kant—Hidden historical value of synthesis a priori—Theory of history in Hegel—W. von Humboldt—F. Brentano—Controversies as to the nature of history—Rickert; Xénopol. History as science of individual—History as art—Other controversies relating to history.
IV
THEORY OF THE RELATIONS BETWEEN THOUGHT AND WORD AND FORMALIST LOGIC [583]
Relation between history of Logic and history of Philosophy of language—Logical formalism. Indian logic free of it—Aristotelian Logic and formalism—Later formalism—Rebellions against Aristotelian Logic—Opposition by humanists and its motives—Opposition of naturalism—Simplicatory elaboration in eighteenth century. Kant—Refutation of formal Logic. Hegel; Schleiermacher—Its partial persistence, owing to insufficient ideas as to language—Formal Logic in Herbart, in Schopenhauer, in Hamilton—More recent theories—Mathematical Logic—Inexact idea of language among mathematicians and intuitionists.
V
CONCERNING THIS LOGIC [603]
Traditional character of this Logic and its connection with Logic of philosophic concept—Its innovations—I. Exclusion of empirical and abstract concepts—II. Atheoretic character of second, and autonomy of empirical and mathematical sciences—III. Concept as unity of distinctions—IV. Identity of concept with individual judgment and of philosophy with history—V. Impossibility of defining thought by means of verbal forms, and refutation of formal Logic—Conclusion.
[FIRST PART]
THE PURE CONCEPT, THE INDIVIDUAL JUDGMENT, AND THE A PRIORI LOGICAL SYNTHESIS
[FIRST SECTION]
THE PURE CONCEPT AND THE PSEUDOCONCEPTS
[I]
AFFIRMATION OF THE CONCEPT
Thought and sensation.
Presupposed in the logical activity, which is the subject of this treatise, are representations or intuitions. If man had no representations, he would not think; were he not an imaginative spirit, he would not be a logical spirit. It is generally admitted that thought refers back to sensation, as its antecedent; and this doctrine we have no difficulty in making our own, provided it be given a double meaning. That is to say, in the first place, sensation must be conceived as something active and cognitive, or as a cognitive act; and not as something formless and passive, or active only with the activity of life, and not with that of contemplation. And, in the second place, sensation must be taken in its purity, without any logical reflection and elaboration; as simple sensation, that is to say, and not as perception, which (as will be seen in the proper place), so far from being implied, in itself implies logical activity. With this double explanation, sensation, active, cognitive and unreflective, becomes synonymous with representation and intuition; and certainly this is not the place to discuss the use of these synonyms, though there are excellent reasons of practical convenience pointing to the preference of the terms which we have adopted.
At all events, the important thing is to bear clearly in mind, that the logical activity, or thought, arises upon the many-coloured pageant of representations, intuitions, or sensations, whichever we may call them; and by means of these, at every moment the cognitive spirit absorbs within itself the course of reality, bestowing upon it theoretic form.
Thought and language.
Another presupposition is often introduced by logicians: that of language; since it seems clear that, if man does not speak, he does not think. This presupposition also we accept, adding to it, however, a corollary, together with certain elucidations. The elucidations are: in the first place, that language must be taken in its genuine and complete reality; that is to say, it must not be arbitrarily restricted to certain of its manifestations, such as the vocal and articulate; nor be changed and falsified into a body of abstractions, such as the classes of Grammar or the words of the Vocabulary, conceived as these are in the fashion of a machine, which man sets in motion when he speaks. And, in the second place, by language is to be understood, not the whole body of discourses, taken all together and in confusion, into which (as will be seen in its place) logical elements enter; but only that determinate aspect of these discourses, in virtue of which they are properly called language. A deep-rooted error, which springs directly from the failure to make this distinction, is that of believing language to be constituted of logical elements; adducing as a proof of this that even in the smallest discourse are to be found the words this, that, to be, to do, and the like, that is, logical concepts. But these concepts are by no means really to be found in every expression; and, even where they are to be found, the possibility of extracting them is no proof that they exhaust language. So true is this that those who cherish this conviction are afterwards obliged to leave over as a residue of their analysis, elements which they consider to be illogical and which they call emphatic, complementary, colorative, or musical: a residue in which is concealed true language, which escapes that abstract analysis. Finally, the corollary is that if the concept of language is thus rectified, the presupposition made for Logic regarding language is not a new presupposition, but is identical with that already made, when representations or intuitions were discussed. In truth, language in the strict sense, as we understand it, is equivalent to expression; and expression is identical with representation, since it is inconceivable that there should be a representation, which should not be expressed in some way, or an expression which should represent nothing, or be meaningless. The one would fail to be representation, and the other would not even be expression; that is to say, both must be and are, one and the same.
Intuition and language as presuppositions.
What is a real presupposition of the logical activity, is, for that very reason, not a presupposition in Philosophy, which cannot admit presuppositions and must think and demonstrate all the concepts that it posits. But it may conveniently be allowed as a presupposition for that part of Philosophy, which we are now undertaking to treat, namely Logic; and the existence of the representative or intuitive form of knowledge be taken for granted. After all, scepticism could not formulate more than two objections to this position: either the negation of knowing in general; or the negation of that form of knowing which we presuppose. Now, the first would be an instance of absolute scepticism; and we may be allowed to dispense with exhibiting yet again the old, but ever effective argument against absolute scepticism which may be found in the mouths of all students at the university, even of the boys in the higher elementary classes (and this dispensation may more readily be granted, seeing that we shall unfortunately be obliged to record many obvious truths of Philosophy in the course of our exposition). But we do not mean by this declaration that we shall evade our obligation to show the genesis and the profound reasons for this same scepticism, when we are led to do so by the order of our exposition. The second objection implies the negation of the intuitive activity as original and autonomous, and its resolution into empirical, hedonistic, intellectualist, or other doctrines. But we have already, in the preceding volume,[1] directed our efforts towards making the intuitive activity immune against such doctrines, that is to say, towards demonstrating the autonomy of fancy and establishing an Æsthetic. So that, in this way, the presupposition which we now allow to stand has here its pedagogic justification, since it resolves itself into a reference to things said elsewhere.
Scepticism as to the concept.
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.
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.
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.
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.
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.
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.
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.
[1] See the first volume of this Philosophy as Science of the Spirit; Æsthetic as Science of Expression.
[II]
THE CONCEPT AND THE PSEUDOCONCEPTS
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?
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.
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.
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.
Critique of the doctrine which considers them to be erroneous concepts,
Having made clear, by means of these examples, the character of concepts and of fictional concepts, we are prepared to solve the question as to whether the second are legitimate or illegitimate products, and if they merit the reproach which seems to attach to their name. And certainly, a view which has had and still has force does not hesitate to consider those fictions as nothing but erroneous concepts, and declares a war of extermination against them, in the name of rigorous thought and of truth. If it follows from what we have said, that the cat or the house or the rose are not concepts, and that the geometrical triangle or free motion are not so either, the conclusion seems inevitable that we must free ourselves from these errors or misconceptions, and affirm that there is neither the cat nor the rose nor the house, but a reality all compact (although it is continuously changing) which develops and is new at every instant; nor is there either the triangle or free motion, but the eternal forms of this reality, which cannot be abstracted and fixed by themselves, and deprived of the conditions which are an integral part of them. But a single fact suffices to invalidate this conclusion and to confute the premiss upon which it rests, that conceptual fictions are erroneous concepts. An error once discovered cannot reappear, at least until the discovery is forgotten, and there is a falling back into the conditions of mental obscurity similar to those antecedent to the discovery. When, for example, the position has been attained that morality is not a phenomenon of egoism and that it has value in itself, or one has become certain that Hannibal was ignorant of the disaster that befell his brother Hasdrubal on the Metaurus, it is impossible to continue believing that morality is egoism, or that Hannibal has been informed of the arrival of Hasdrubal and had voluntarily allowed him to be surprised by the two Consuls. But with conceptual fictions similar to those in the example the case is otherwise. Even when we are persuaded that the triangle and free motion correspond to nothing real, and that the rose, the cat, and the house have nothing precise and universal in them, we must yet continue to make use of the fictions of triangles, of free motion; of houses, cats, and roses. We can criticise them, and we cannot renounce them; therefore, it is not true that they are, at least altogether and in every sense, errors.
or imperfect concepts preparatory to perfect concepts.
This indispensability of conceptual fictions to the life of the spirit, finds acknowledgment in a more temperate form of the doctrine which considers them as erroneous concepts; that is, in the thesis that they are erroneous, but at the same time preparatory to, and almost a first step towards, the formation of true and proper concepts. The spirit does not issue all at once from representations and attain to the universal; it issues from them little by little, and prior to the rigorous universal, it constructs others less rigorous, which have the advantage of replacing the infinite representations with their infinite shades, through which reality presents itself in æsthetic contemplation. Conceptual fictions, then, would be sketches of concepts, and therefore, like all sketches, capable of revision and annulment, but useful. Thus it would be explained how they are errors, and errors made for a good reason. But this moderate theory also clashes noisily with the most evident facts. Above all, it is not true that the spirit issues little by little from the representations, passing through a series of grades; the procedure of the spirit, in this regard, is altogether different, and when philosophers have wanted to find a comparison for it, they have been obliged to come back to that very 'leap' which they wanted to avoid: "Spirit (said Schelling, for example,) is an eternal island, which is not to be reached from matter, without a leap, whatever turns and twists be made." And, for this very reason, conceptual fictions are not good passages to rigorous concepts: to think rigorously, we must plunge ourselves again into the flood of representations and think immediate reality, clearing away the obstacles that proceed from conceptual fictions. And always for the same reason, rigorous concepts, when they find themselves confronted with conceptual fictions as rivals in the same problem, do not claim their assistance, nor correct, nor refine upon them, in order partially to preserve them, but combat and destroy them. What the rigorous concepts are unable to do, is to prevent the others from reappearing; because the spirit, as has been seen, preserves, without correcting them, although it has recognized their falsity: it preserves them, that is to say, not fused and rendered true in the rigorous concepts, but outside and after these.
Posteriority of conceptual fictions to true and proper concepts.
In short, we have to abandon entirely the idea that conceptual fictions are errors, or sketches and aids, and that they precede rigorous concepts. Quite the opposite is true: conceptual fictions do not precede rigorous concepts, but follow them, and presuppose them as their own foundation. Were this not so, of what could they ever be fictions? To counterfeit or imitate something implies first knowledge of the thing which it is desired to counterfeit or to imitate. To falsify means to have knowledge of the genuine model: false money implies good money, not vice versa. It is possible to think that man, from being the ingenuous poet that he first was, raised himself, immediately, to the thought of the eternal; but it is not possible to think that he constructed the smallest conceptual fiction, without having previously imagined and thought. The house, the rose, the cat, the triangle, free motion presuppose quantity, quality, existence, and we know not how many other rigorous concepts: they are made with iron instruments great and small, which logical thought has created, and which come to be used with such rapidity and naturalness that we usually end by believing that we have proceeded without them. Whoever makes conceptual fictions, has already taken his logical bearings in the world: he knows what he is doing and reasons about it; progress with his conceptual fictions depending upon progress with his rigorous concepts, and being continuously remade, according to the new needs and the new conditions which are formed. Now that the concept of miracle or witchcraft has been destroyed, the conceptual fictions relating to the various classes and modes of miraculous facts and acts of witchcraft are no longer constructed; and since the destruction of the belief in the direct influence of the stars upon human destinies, the astrological and mathematical fictions, which arose upon those conceptual presuppositions, have also disappeared.
Those who have seen errors or sketches of truth in conceptual fictions have certainly seen something: because (without incidentally anticipating at this point the theory of errors, or that of sketches or aids to the search for truth) it may at once be admitted, that conceptual fictions also sometimes become both errors and obstacles, and suggestions and aids to truth. But because a given spiritual product is adopted for an end different from that which rightly belongs to it (thereby becoming itself different and giving rise to a new spiritual product), we must not omit to search for the intrinsic end, which constitutes the genuine nature of this product. The portrait of a fair lady, white as milk and red as blood, which the prince of the story finds beneath a cushion by the help of the fairy, may serve as an incentive to make him undertake the journey round the world in search of the woman in flesh and blood, who is like the portrait and whom he will make his wife; but that portrait, before it is an instrument in the hands of the fairy, is a picture, that is to say, a work of art, which has come from the hands, or rather from the fancy, of the painter; and must be appreciated as such. Thus conceptual fictions, before they are transmuted into errors or into expedients, into obstacles or into aids to the search for truth, have, before them, a truth already constructed, toward the construction of which, therefore, they cannot serve; whereas that truth has served them, for they would not otherwise have been able to arise. They are, therefore, intrinsically neither obstacles nor aids to truth, but something else, that is, themselves; and what they are in themselves it is still necessary to determine.
Practical character of conceptual fictions.
For this purpose it is needful to direct our attention to the moment of their formation, which, as has been said, is not at all theoretical, but practical; and to ask ourselves in what way and with what end the practical spirit can intervene in representations and concepts previously produced, manipulate them and make of them conceptual fictions. The view that the work of the practical spirit can give rise to new knowledge, not previously attained, must be resolutely excluded: the practical spirit is such, precisely because it is non-cognitive; as regards knowledge it is altogether sterile. If, then, it accomplishes those manipulations, and says to a cat: "You will represent for me all cats"; or to a rose: "See, I draw you in my treatise on botany, and you will represent all roses"; and to the triangle: "It is true I cannot think you, nor represent you; but I suppose that you are the same as what I draw with rule and compass, and I make use of you to measure the approximate triangles of reality";—in so doing, it recognizes that it does not accomplish any act of knowledge. But does it, in that case, accomplish an act of anti-knowledge—that is, does it make these manipulations and fictions in order to place obstacles in the way of knowledge and to simulate its products, so that it leads astray the seeker for truth? If this were so, the "practical spirit" would be synonymous with the spirit of confusion; and the contriver of conceptual fictions would deserve the reprobation that attaches to forgers of documents, sophists, rhetoricians, and charlatans; whereas, on the contrary, he receives the applause and gratitude of every one. Each one of us, at every instant, would be guilty of a plot against the truth, because at every instant each of us forms and employs those fictions; whereas the moral consciousness, delicate and intolerant though it be, makes no reproof, but indeed offers encouragement. Therefore, the act of forming intellectual fictions is an act neither of knowledge nor of anti-knowledge; it is not logically rational, but neither is it logically irrational; it is rational, indeed, but practically rational.
The practical end and mnemonic utility.
In this case the practical end in view can be but one. We know in order to act; and he who acts is interested only in that knowledge, which is the necessary precedent of his doing. But since our knowledge is all destined to be recalled as occasion serves for action, or to aid us in the search for new knowledge (which in this case is a form of acting), the practical spirit is impelled to provide for the preservation of the patrimony of acquired knowledge. Without doubt, speaking absolutely, everything is preserved in reality, and nothing that has once been done or thought, disappears from the bosom of the cosmos. But the preservation of which we speak, is properly the making easily available to memory, knowledge that has once been possessed, and providing for its ready recall from the bosom of the cosmos or from the apparently unconscious and forgotten. For this purpose there are constructed those instruments, which are conceptual fictions, by means of which armies of representations are evoked with a single word, or by which a single word approximately indicates what form of operation must be resorted to, in order that certain representations may be recovered. The cat of the appropriate conceptual fiction does not enable us to know any single cat, as a painter or a historian of cats makes us know it; but by means of it, many images of animals, which would have remained separate before the memory, or each one dispersed and fused in the complete picture in which it had been imagined and perceived, are arranged in a series and recorded as a whole. This matters little or nothing to one who dreams as a poet or who seeks absolute truth; but it matters a great deal to one whose house is infested by rats, and who must employ some one to obtain a cat; and it matters not less to the seeker for the cat, in that he has to study a new animal, and that he must proceed in that study with some order, though it be artificial, and though he reject the artifice in the final synthesis. Again, the geometrical triangle is of no service either to imagination or to thought, which are developed without it; but it is indispensable to any one measuring a field, in the same way as it may possibly be of service to a painter in his preparatory studies for a picture, or to a historian, who wishes to know well the configuration of a piece of ground where a battle was fought.
Persistence of conceptual fictions side by side with concepts.
This is the real reason why, however perfect rigorous concepts become, conceptual fictions remain ineliminable, and indeed obtain from these fresh nourishment. They cannot be criticized and resolved by means of rigorous concepts, because they are of a different order from them: they cannot act as inferior degrees of the rigorous concept, because they presuppose it. The reason, which we were pledged to give, is given; and henceforward there can no longer arise any misunderstanding as to the relation of the concept to conceptual fictions. It is a relation not of identity, nor of contrariety, but simply of diversity.
Pure concepts and pseudoconcepts.
The terminological question remains, and this, as always, has but slight importance. "Conceptual fictions" is a manner of speech; and no one would wish to combat manners of speech. For brevity's sake we shall call them pseudoconcepts, and for the sake of clearness we shall call the true and proper concepts pure concepts. This term seems to us more suitable than that of ideas (pure concepts), as opposed to logical concepts (pseudoconcepts), as they were at one time called in the schools. It must further be noted, that the pseudoconcepts, although the word "concept" forms part of their name, are not concepts, they do not form a species of, nor do they compete with, concepts (save when forcibly made to do so); and that the pure concepts have not got the impure concepts at their side, for these are not truly concepts. Every word offers, in some degree, a hold for misunderstanding, because it circulates in this base world, which is full of snares; the search for words which should absolutely prevent misunderstandings is vain, for it would be necessary first of all to clip the wings of the human spirit. We may prefer one word to another, according to historical contingencies; and for our part we prefer the words pseudoconcept and pure concept, if for no other reason than to remind the makers of fictional concepts to be modest, and to flash above their heads the light of the only true form of concept, which is logical nature itself in its universality and in its severity. How can we fail to think that the choice has been well made if this title of pure concept please the few, but terrify the many and irritate the most, more than the red cloth shaken before the eyes of the bull; and if, like every efficacious medicine, it provoke a reaction in the organism of the patient?
[1] These relations are examined in the Philosophy of the Practical, first part.
[III]
THE CHARACTERISTICS AND THE CHARACTER OF THE CONCEPT
The characteristics of the pure concept, or simply, concept, may be gathered from what has previously been said.
Expressivity.
The concept has the character of expressivity; that is to say, it is a cognitive product, and, therefore, expressed or spoken, not a mute act of the spirit, as is a practical act. If we wish to submit the effective possession of a concept to a first test, we can employ the experiment which was advised on a previous occasion:—whoever asserts that he possesses a concept, should be invited to expound it in words, and with other means of expression (graphic symbols and the like). If he refuse to do so, and say that his concept is so profound that words cannot avail to render it, we can be sure, either that he is under the illusion of possessing a concept, when he possesses only turbid fancies and morsels of ideas; or that he has a presentiment of the profound concept, that it is in process of formation, and will be, but is not yet, possessed. Each of us knows that when he finds himself in the meditative depth of the internal battle, of that true agony (because it is the death of one life and the birth of another), which is the discovery of a concept, he can certainly talk of the state of his soul, of his hopes and fears, of the rays that enlighten and of the shadows that invade him; but he cannot yet communicate his concept, which is not as yet, because it is not yet expressible.
Universality.
If this character of expressivity be common to the concept and to the representation, its universality is peculiar to the concept; that is to say, its transcendence in relation to the single representations, so that no single representation and no number of them can be equivalent to the concept. There is no middle term between the individual and the universal: either there is the single or there is the whole, into which that single enters with all the singles. A concept which has been proved not universal, is, by that very fact, confuted as a concept. Our philosophical confutations do not proceed otherwise. Sociology, for instance, asserts the concept of Society, as a rigorous concept and principle of science; and the criticism of Sociology proves that the concept of society is not universal, but individual, and is related to the groupings of certain beings which representation has placed before the sociologist, and which he has arbitrarily isolated from other complexes of beings that representation also placed or could place before him. The theory of tragedy postulates the concept of the tragic, and from it deduces certain necessary essentials of tragedy; and the criticism of literary classes demonstrates that the tragic is not a concept, but a roughly defined group of artistic representations, which have certain external likenesses in common; and, therefore, that it cannot serve as foundation for any theory. On the other hand, to establish a universality, which at first was wanting, is the glory of truly scientific thought; hence we give the name of discoverers to those who bring to light connections of representations or of representative groups, or of concepts, which had previously been separate; that is to say, who universalize them. Thus, it was thought at one time that will and action were distinct concepts; and it was a step in progress to identify them by the creation of the truly universal concept of the will, which is also action. Thus, too, it was held that expression in language was a different thing from expression in art; and it was an advance to universalize the expression of art by extending it to language; or that of language by extending it to art.
Concreteness.
Not less proper to the concept is the other character of concreteness, which means that if the concept be universal and transcendent in relation to the single representation, it is yet immanent in the single, and therefore in all representations. The concept is the universal in relation to the representations, and is not exhausted in any one of them; but since the world of knowledge is the world of representations, the concept, if it were not in the representations, would not be anywhere: it would be in another world, which cannot be thought, and therefore is not. Its transcendence, therefore, is also immanence; like that truly literary language that Dante desired, which, in relation to the speech of the different parts of Italy, in qualibet redolet civitate nec cubat in ulla. If it is proved of a concept that it is inapplicable to reality, and therefore is not concrete, it is thereby confuted as a true and proper concept. It is said to be an abstraction, it is not reality; it does not possess concreteness. In this way, for example, has been confuted the concept of spirit as different from nature (abstract spiritualism); or of the good, as a model placed above the real world; or of atoms, as the components of reality; or of the dimensions of space, or of various quantities of pleasure and pain, and the like. All these are things not found in any part of the real, since there is neither a reality that is merely natural and external to spirit, nor an ideal world outside the real world; nor a space of one or of two dimensions; nor a pleasure or pain that is homogeneous with another, and therefore greater or less than another; and for this reason all these things do not result from concrete thinking and are not concepts.
The concrete universal, and the formation of the pseudoconcepts.
Expressivity, universality, concreteness, are then the three characteristics of the concept derived from the foregoing discussion. Expressivity affirms that the concept is a cognitive act, and denies that it is merely practical, as is maintained in various senses by mystics, and by arbitrarists or fictionists. Universality affirms that it is a cognitive act sui generis, the logical act, and denies that it is an intuition, as is maintained by the æstheticists, or a group of intuitions, as is asserted in the doctrine of the arbitrarists or fictionists. Concreteness affirms that the universal logical act is also a thinking of reality, and denies that it can be universal and void, universal and inexistent, as is maintained in a special part of the doctrine of the arbitrarists. But this last point needs explanation, which leads us to enunciate explicitly an important division of the pseudoconcepts, which has hitherto been mentioned as apparently incidental.
Empirical pseudoconcepts and abstract pseudoconcepts.
The pseudoconcepts, falsifying the concept, cannot imitate it scrupulously, because, if they did, they would not be pseudoconcepts, but concepts; not imitations, but the very reality which they imitate. An actor who, pretending on the stage to kill his rival in love, really did so, would no longer be an actor, but a practical man and an assassin. If, therefore, with regard to the representations, and when preparing to form pseudoconcepts, we should think representations with that universality which is also the concreteness proper to the true concept, and with that transcendence which is also immanence (and is therefore called transcendentalism), we should form true concepts. This, indeed, often happens, as we can see in certain treatises which mean to be empirical and arbitrary, and from which, currente rota, non urceus, sed amphora exit. Their authors, led by a profound and irrepressible philosophic sense, gradually and almost unconsciously abandon their initial purpose, and give true and proper concepts in place of the promised pseudoconcepts: they are philosophers, disguised as empiricists. In order to create pseudoconcepts, we must therefore begin by arbitrarily dividing into two the one supreme necessity of logic, immanent transcendence, or concrete universality, and form pseudoconcepts, which are concrete without being universal, or universal without being concrete. There is no other way of falsifying the concept; whoever wishes to falsify it so completely as to render the imitation unrecognizable, does not falsify, but produces it; he does not remain outside, but permits himself to be caught in its coils; he does not invent a practical attitude, but thinks. That one mode is therefore specified in two particular modes, of which examples have already been given in our analysis of the pseudoconcepts of the house, the cat, the rose, which are concrete without being universal; and of the triangle and of free motion, which are universal without being concrete. There is nothing left to do, therefore, but to baptize them; selecting some of the many names that are applied, and often applied, sometimes to the one, sometimes to the other of the two forms, or indifferently to both, and giving to each of them a particular name, which will be constant in this treatise. We shall then call the first, that is to say, those which are concrete and not universal, empirical pseudoconcepts; and the second, or those which are universal and not concrete, abstract pseudoconcepts; or, taking as understood for brevity's sake, the general denomination (pseudo), empirical concepts and abstract concepts.
The other characteristics of the pure concept.
Thus, of the three characteristics of the concept which we have exhibited, the second and the third constitute, as we can now see, one only, which is stated in a double form, solely in order to deny and to combat these two one-sided forms which we have called empirical and abstract concepts. But, on the other hand, it is easy to see that the characteristics of the concept are not exhausted in the two that remain, namely, in expressivity or cognizability, and in transcendence or concrete universality. Others can reasonably be added, such as spirituality, utility, morality, but we shall not dwell upon these, because either they belong to the general assumption of Logic, that is, to the fundamental concept of Philosophy as the science of spirit, or they are more conveniently made clear in the other parts of this Philosophy. The concept has the character of spirituality and not of mechanism, because reality is spiritual, not mechanical; and for this reason we have to reject every mechanical or associationist theory of Logic, just as we have to reject similar doctrines in Æsthetic, in Economic and in Ethic. A special discussion of these views seems superfluous, because they are discussed and negated, that is to say, surpassed, in every line of our treatise. The concept has the character of utility, because, if the theoretic form of the spirit be distinct from the practical, it is not less true, by the law of the unity of the spirit, that to think is also an act of the will, and therefore, like every act of the will, it is teleological, not antiteleological; useful, not useless. And, finally, it has the character of morality, because its utility is not merely individual, but, on the contrary, is subordinated to and absorbed in the moral activity of the spirit; so that to think, that is, to seek and find the true, is also to collaborate in progress, in the elevation of Humanity and Reality, it is the denial and overcoming of oneself as a single individual, and the service of God.
The origin of the multiplicity and unity of character of the concept.
Certainly, the form in which the order of our discourse has led us to establish the characters of the concept—that of enumeration, the one character being connected with the other by means of an "also"—is, logically, a very crude form, and must be refined and corrected. Above all, if we have spoken of characters of the concept, we have done so in order to adhere to the usual mode of expression. The concept cannot have characters, in the plural, but character, that one character which is proper to it. What this is has been seen; the concept is concrete-universal two words which designate one thing only, and can also grammatically become one: "transcendental," or whatever other word be chosen from those already coined, or that may be coined for the occasion. The other determinations are not characters of the concept, but affirm its relations with the spiritual activity in general, of which it is a special form, and with the other special forms of this activity. In the first relation, the concept is spiritual; in relation with the æsthetic activity, it is cognitive or expressive, and enters into the general theoretic-expressive form; in relation with the practical activity, it is not, as concept, either useful or moral, but as a concrete act of the spirit it must be called useful and moral. The exposition of the characters of the concept, correctly thought, resolves itself into the compendious exposition of the whole Philosophy of spirit, in which the concept takes its place in its unique character, that is to say, in itself.
Objections relating to the unreality of the pure concept and to the impossibility of demonstrating it.
This declaration may save us from the accusation of having given an empirical exposition of the non-empirical Concept of the concept, and so committing an error for which logicians are justly reproved (for they have often believed themselves to possess the right of treating of Logic without logic; perhaps for the same reason that custodians of sacred places are wont, through over-familiarity, to fail in respect towards them). But it lays us open to censure very much more severe; which, if it ultimately prove to be inoffensive, is certainly very noisy and loquacious. The pretended characters of the concepts (it is said) are, by your own confession, nothing but its relations with the other forms of the spirit; and the one character proper to it is that of universality-concreteness, that is, of being itself, since the "concrete-universal" is synonymous with the concept, and vice versa. So it turns out that in spite of all your efforts, your concept of the concept becomes dissipated in a tautology. Give us a demonstration of what you affirm, or a definition which is not tautologous; then we shall be able to form some sort of an idea of your pure concept. Otherwise you may talk about it for ever, but for us it will always be like "Phœnician Araby" of Metastasian memory: "you say that it is; where it is, no one knows."
Prejudice relating to the nature of demonstration.
Beneath such dissatisfaction and the claim it implies, we find first of all a prejudice of scholastic origin concerning what is called demonstration. That is to say, it is imagined that demonstration is like an irresistible contrivance, which grasps the learner by the neck and drags him willy-nilly, whither he does not and the teacher does will to go, leaving him open-mouthed before the truth, which stands external to him, and before which he must, obtorto collo, bow himself. But such coercive demonstrations do not exist for any form of knowledge—indeed, for any form of spiritual life—nor is there a truth outside our spirit. Not that truth presupposes faith, as is often said, so that rationality is subordinated to some unknown form of irrationality; but truth is faith, trust in oneself, certainty of oneself, free development of one's inner powers. The light is in us; those sequences of sounds, which are the so-called demonstration, serve only as aids in discarding the veils and directing the gaze; but in themselves they have no power to open the eyes of those who obstinately wish to keep them closed. Faced with this sort of reluctance and rebellion, the pedagogues of the good old days had recourse, as we know, not to demonstrations, but to the stool of penitence and to the stick; so fully were they persuaded that the demonstration of truth requires good dispositions, i.e. requires those who are disposed to fall back upon themselves and to look into themselves. How can the beauty of the song of Farinata be demonstrated to one who denies it, and will neither appreciate the soul contained in that sublime poem, nor accomplish the work necessary to attain to the possibility of such an appreciation, nor will, on the other hand, humbly confess his own incapacity and lack of preparation,—how can we forcibly demonstrate to him that that song is beautiful? The critical wisdom of Francesco de Sanctis would be disarmed and impotent before such a situation. How can we demonstrate to one who deliberately refuses to believe in any authority or document, and breaks the tradition by which we are bound to the past, that Miltiades conquered at Marathon, or that Demosthenes strove all his life against the power of Macedonia? He will capriciously throw doubt on the pages of Herodotus and the orations of Demosthenes; and no reasoning will be able to repress that caprice. What more can be said? Even in arithmetic, for which calculating machines exist, compulsory demonstration is impossible. In vain you will lift two fingers of the hand, and then the third and the fourth, in order to demonstrate to one who does not wish for demonstration that two and two are four; he will reply that he is not convinced. And indeed he cannot be convinced, if he do not accomplish that inner spiritual synthesis by which twice two" and four reveal themselves as two names of one and the same thing. Therefore, he who awaits a compelling demonstration of the existence of the pure concept, awaits in vain. For our part, we cannot give him anything but that which we are giving: a discourse, directed towards making clear the difficulties, and towards demonstrating how, by means of the pure concept, all problems concerning the life of the spirit are illuminated, and how, without it, we cannot understand anything.
Prejudice concerning the representability of the concept.
But another prejudice, perhaps yet more tenacious than the first, accompanies this extravagant idea about demonstration. Accustomed as men are to move among things, to see, to hear, to touch them, while hardly or only fugitively reflecting upon the spiritual processes which produce that vision, hearing and touching; when they come to treat of a philosophic question, and to conceive a concept (and especially when it is necessary to conceive precisely the concept of the concept), they do not know how to refrain from demanding just that which they have been obliged to renounce in their new search, and which they have already renounced, owing to the very fact of their having entered into it: the representative element, something that they can see, hear and touch. It is almost as though a novice, on entering a monastery, and having just pronounced the solemn vow of chastity, should ask, as his first request upon taking possession of his cell, for the woman who is to be his companion in that life. He will be answered that in such a place his spouse cannot be anything but an ideal spouse, holy Religion or holy Mother Church.
Protests of the philosophers against this prejudice.
All philosophers have been compelled to protest against the request, which they have had addressed to them, for an impossible external demonstration and for something representative in a field where representation has been surpassed. "In our system (said Fichte) we must ourselves lay the foundation of our own philosophy, and consequently that system must seem to be without foundation to one who is incapable of accomplishing that act. But he may be assured beforehand that he will never find a foundation elsewhere, if he do not lay such an one for himself, or remain not satisfied with it. It is fitting that our philosophy should proclaim this in a loud voice, in order that it may be spared the pretence of demonstrating to mankind from without what they must create in themselves."[1] Schelling appropriately compared philosophic obtuseness with æsthetic obtuseness: "There are two only ways out of common reality. Poetry, which transports you into an ideal world, and Philosophy, which makes the real world disappear altogether from our sight. One does not see why the sense for Philosophy should be more generally diffused than that for Poetry."[2] And Hegel, giving explanations which precisely meet the present case, says: "What is called the incomprehensibility of Philosophy, arises, in part, from an incapacity (in itself only a lack of habit) to think abstractly, that is to say, to hold pure thoughts firmly before the spirit and to move in them. In our ordinary consciousness, thoughts are clothed in and united with ordinary sensible and spiritual matter; and in our rethinking, reflecting and reasoning we mingle sentiments, intuitions and representations with thoughts: in every proposition whose content is entirely sensible (for example: this leaf is green) there are already mingled categories, such as being and individuality. But it is quite another thing to take as our object thoughts by themselves, without any admixture. The other reason for its incomprehensibility is the impatience which demands to have before it as representation that which in consciousness appears only as thought and concept. And we hear people say that they do not know what there is to think in a concept, which is already apprehended; whereas in a concept there is nothing to be thought but the concept itself. But the meaning of this saying is just that they want a familiar and ordinary representation. It seems to consciousness as if, with the removal from it of the representation, the ground had been removed which was its firm and habitual support. When transported into the pure region of the concepts, it no longer knows what world it is in. For this reason, those writers, preachers and orators are esteemed marvels of comprehensibility who offer their readers or hearers things which they already know thoroughly, things which are familiar to them and which are self-evident."[3]
Reason for their perpetual recurrence.
Thus have all philosophers protested, and thus will all protest still, from age to age, because that intolerance, that immobility, that recalcitrance before the very painful effort of having to abandon the world of sense (though but for a single instant, and in order to reconquer and to possess it more completely) will perpetually be renewed. They are the birth-pangs of the Concept, to escape which no plans for virginity and no manoeuvres to procure abortion are of any avail. They must be endured, because that law of the Concept ("thou shalt bring forth in suffering") is also a law of life.
[1] System de Sittenlehre (in Sämmtl. Werke), iv. p. 26.
[2] Idealismo transcendentale, trad. Losacco, p. 19.
[3] Encyclopædia, Croce's translation, § 3, Observations.
[IV]
DISPUTES AS TO THE NATURE OF THE CONCEPT
Disputes of materialistic origin.
Disputes as to the nature of the concept have sometimes had their origin (notably in the recent period of philosophic barbarism, which "renews the fear of thought," whence we have with difficulty emerged) in materialistic, mechanical and naturalistic prejudices. Therefore, as already mentioned, discussion has arisen as to whether the concept should be considered logical or psychological, as the product of synthesis or of association, or of individual or hereditary association. But these are controversies which, for the reasons we gave before, we shall not spend time in illustrating.
The concept as value.
Nor shall we pay attention to the other controversy, as to whether concepts are values or facts, whether they operate only as norms or also as effective forces of the real; because the division between values and facts, between norms and effective existence (between Gelten and Sein, as it is expressed in German terminology), is itself surpassed and unified, implicitly and explicitly, in all our philosophy. If the concept or thought has value, it can have value only because it is; if the norm of thought operate as a norm, that implies that it is thought itself, its own norm, a constitutive element of reality. There is not to be found in any form of spiritual life any value which is not also reality—not in art, where there is no other beauty than art itself; nor in morality, where no other goodness is known than action itself directed to the universal; nor in the life of thought. The concept has value, because it is; and is, because it has value.
Realism and nominalism.
But the greater part of these dissensions, which have existed for centuries and are yet living, rests on the confusion between concepts and pseudoconcepts, and the consequent pretension to define the concept by denying one or other of these two forms. This is the origin of the two opposite schools of realists and nominalists, which are also called in our times rationalists and empiricists (arbitrarists, conventionalists, hedonists). The realists maintain that concepts are real: that they correspond to reality; the nominalists, that they are simple names to designate representations and groups of representations, or, as is now said, tickets and labels placed upon things in order to recognize and find them again. In the former case, no elaboration of representations higher than the universalizing act of the concept is possible; in the latter, the only possible operation is that which has already been described—mutilation, reduction and fiction, directed to practical ends.
Critique of both.
The consequence of these one-sided affirmations has been that the realists have defined as concepts, and therefore as having a universal character, all sorts of rough pseudoconcepts; not only the horse, the artichoke and the mountain, but also, logically, the table, the bed, the seat, the glass, and so on; and they have exposed themselves from the earliest beginnings of philosophy to the sarcastic and irresistible objection that the horse exists, but not horsiness, the table, but not tabularity. This conceptualization of pseudoconcepts is the error of which they have really been guilty, not that of conferring empirical reality on the concepts by placing them as single things alongside of other things, an extravagance which it is doubtful if any man of moderate sense has ever seriously committed. The realists who rendered the concepts real in this sense at the same time rendered them unreal, that is to say, single and contingent, and in need of being surpassed by true concepts. The nominalists, on the other hand, considered as arbitrary and mere names all the presuppositions of their mental life—being and becoming, quality and final cause, goodness and beauty, the true and the false, the Spirit and God. Without being aware of it, they have fallen into inextricable contradictions and into logical scepticism.
True realism.
It is henceforth clear that this secular dispute cannot be decided in favour of one or other of the contending parties, for both are right in what they affirm and wrong in what they deny, that is, both are right and wrong. The two forms of spiritual products, of which each of those schools in its affirmations emphasizes only one, both actually exist; the one is not in antithesis to the other, as the rational is to the irrational. The true doctrine of the concept is realism, which does not deny nominalism, but puts it in its place, and establishes with it loyal and unequivocal relations.
Solution of other difficulties concerning the genesis of concepts.
By establishing such relations we emerge from the vicious circle, which has given such trouble to certain logicians, who have striven to explain the genesis of the concepts in terms of nominalism, but were afterwards, when probing their doctrine to the bottom, compelled to admit the necessity of the concepts as a foundation for the genesis of the concepts. They believed that they had got out of the difficulty by distinguishing two orders of concepts, primary and secondary, formative models and formations according to models; and they thus reproduced, in the semblance of a solution, the problem still unsolved. In different words, others admitted the same embarrassment. They attempted to obtain the concepts from experience, but recognized at the same time that all experience presupposes an ideal anticipation. Or they declared that the concept fixes the essential characters of things, and, at the same time, that the essential characters of things are indispensable for fixing the concept. Or, finally, they based the formation of concepts upon categories, which, enumerated and understood as they understood them, were by no means categories and functions, but concepts. Primary concepts, formative models, ideal anticipations, essential concepts, concept-categories, and the like, are nothing but verbal variants of the pure concepts; the necessary presupposition, as we know, for the impure concepts or pseudoconcepts.
Disputes arising from neglect of the distinction between empirical and abstract concepts.
Other disputes, far enough apart in significance and nature, concerning the nature of the concept, acquire a more precise meaning when referred to our subdivision of pseudoconcepts into empirical or representative, and abstract. Thereby we can understand why it has been asked if the concepts are concrete or abstract, general or universal, contingent or necessary, approximate or rigorous; if they are obtained a posteriori or a priori, by induction or deduction, by synthesis or analysis, and so on. This series of disputes likewise cannot be settled, save by admitting that both contending parties are right and wrong, and demonstrating that pseudoconcepts (which are alone here in discussion) are constructed by analysis, and by deduction are a priori, and have the characters of abstractness, rigorousness, universality and necessity, if it be a question of abstract pseudoconcepts, that is to say, of empty fictions, outside experience; while, on the other hand, they are constructed by synthesis, and by induction are a posteriori, and have the characters of concreteness, approximation, mere generality and contingency, if they be empirical or representative pseudoconcepts, that is to say, groups of representations, which do not go beyond representation and experience. Indeed, from this last point of view, no error was made in denying any difference between the (representative) concept and the general representation. It is false that this latter is the result of psychical mechanism or association, and the former of psychical purpose, because there is nothing mechanical in the spirit; and the general representation, if it is a product of the spirit, is as teleological as the other, indeed is absolutely one with the other. It obeys, like it, the law of economy, or, as we have shown, the practical ends of convenience and utility.
Crossing of the various disputes.
But these last disputes have crossed with that which we first examined between realism and nominalism, and have sometimes taken on the same meaning. This must be kept in mind, to serve as a guide in the dense forest. Is the concept a priori or a posteriori, universal or general, necessary or contingent? These questions and others like them were sometimes understood as equivalent to the question: is it real or nominal, truth or fiction?
Other logical disputes.
Certain problems of Logic, not yet solved in a satisfactory manner, arise from the failure to make clear the confusion between concepts and pseudoconcepts, and between empirical and abstract concepts. Is it or is it not true that every concept must have an individual representation, taken from its own sphere, as a necessary support? Are concepts of things possible, or is there a special concept corresponding to every thing? Is a concept of the individual possible? These three questions may be answered in the affirmative, in the negative, and in the affirmative-negative, according as they are referred to the empirical concept, the abstract concept, or the pure concept.
The representative accompaniment of the concept.
For, if we consider the first question, we must resolutely deny that the abstract concept has any need of a particular representation as its necessary support. The geometric triangle, as such, is neither white nor black, nor of any given size; if the representation of a particular triangle unites itself to it, geometry discards it. But we must just as resolutely affirm than an empirical or representative concept has always an image to support it; the concept of a cat needs the image of a cat, and every book on zoology is accompanied with illustrations. The image may be varied, but never suppressed; and it may be varied only within certain limits, because, if these be exceeded, the concept itself loses its form and is dissipated. Thus, for the concept of the cat, we could frame a representation of a white or black or red cat, or a small or big one; but if scarlet colour or the size of an elephant be attributed to the cat, which serves as symbol of the fiction, the concept must be changed. That concept has at its command the images of cats, upon which it has been formed, which, as we know, are always finite in number. Finally, with reference to the pure concept, it must be said that every image and no image is in turn a symbol of it; as every blade of grass (as Vanini said) represents God, and a number of images, however great it be, does not suffice to represent Him.
The concept of the thing and the concept of the individual.
In like manner, as regards the second question, it must be answered that the empirical concept is nothing but a concept of things, or a grouping of a certain number of things beneath one or other of them, which functions as a type; that the abstract concept is by definition, the not-thing, incapable of representation; and that the pure concept is a concept of every thing and of no thing. And as regards the third, we must answer that the abstract concept is altogether repugnant to individuality; the pure concept alights upon every individual, only to leave it again, and in so far as it thinks all individual things, it renders them all, in a certain way, concepts, and in so far as it surpasses them, it denies them as such; while the empirical concept can be the concept of the individual. Because if in reality, the individual be the situation of the universal spirit at a determinate instant, empirically considered the individual becomes something isolated, cut off from the rest and shut up in itself, so that it is possible to attribute to it a certain constancy in relation to the occurrences of the life it lives; so that that life assumes almost the position of the individual determinations of a concept. Socrates is the life of Socrates, inseparable from all the life of the time in which he developed; but empirically and usefully we can construct the concept of a Socrates a controversialist, an educator, endowed with imperturbable calm, of which the Socrates who ate and drank and wore clothes, and lived during such and such occurrences, is the incarnation. Thus we can form pseudoconcepts of individuals as well as of things, or, to express it in terms that are the fashion, we can form Platonic ideas of them.
Reasons, laws, and causes.
It is also well to note that to adduce the reasons, the laws, the causes of things and of reality, is equivalent to establishing concepts, and since the word "concepts" has been applied in turn to pure and to empirical and abstract concepts, laws and causes have been alternately described as truths and as fictions. It belongs to the discussion of terminology to remark that in general the word "reason" has been used only for researches into pure and abstract concepts, "cause" for empirical concepts, and "laws" almost equally for all three, but perhaps a little more for empirical and abstract than for pure concepts. But to the confusion of these three forms of spiritual products is to be attributed the fact that there have been discussions, as, for instance, whether there be concepts of laws in addition to concepts of things, the issue of which was at bottom the desire to ascertain whether there exist abstract and pure concepts, in addition to empirical concepts.
Intellect and Reason.
The profound diversity of the concepts and of the pseudoconcepts suggested (at the time when it was customary to represent the forms or grades of the spirit as faculties) the distinction between two logical faculties, which were called Intellect (or, also, abstract Intellect), and Reason. The first of these formed what we now call pseudoconcepts; the second, pure concepts.
The abstract intellect and its practical nature.
But the proper character of neither of the two faculties was realized by those who postulated them; they fell into the error, which we have already had occasion to criticize, of conceiving the Intellect as a form of knowledge, which either lives in the false, or is limited to preparing the material for the superior faculty, to which it supplies a first imperfect sketch of the concept. But the faculty required for this should be, not of a theoretical nature, but of a practical. It is a terminological question of slight interest, whether the name "Intellect" should be retained for the production of pseudoconcepts, or whether the purely theoretic meaning, which it first had, should be restored to it, and it should thus be made synonymous with "Reason." It can only be observed that it will be very difficult to remove henceforth from "Intellect," from "intellectual formations," and from "intellectualism," the suspicion and discredit cast upon them by the great philosophic history of the first half of the nineteenth century; so much so, that only where a rather popular style is employed, can Intellect and Reason be used promiscuously.
With greater truth, Reason was considered as unifying what the Intellect had divided, and therefore as unifying abstraction and concreteness, deduction and induction, analysis and synthesis. With greater truth, although complete exactness would have demanded here, not so much that to Reason should be given the power of unifying what has been unduly divided, as that to the Intellect, that is to say, to the practical faculty, should be given the power of dividing extrinsically what for Reason is never divided: a power which the Intellect, as a practical faculty, possesses and exercises, not in a pathological, but in a physiological way.
The synthesis of theoretic and practical, and the intellectual intuition.
The incomplete survey of the so-called Intellect, the theoretic character of which was preserved, though in a depreciatory sense, issued in the result that finally to Reason itself was attributed a character, no longer theoretic, or rather, more than theoretic. Knowledge, presenting itself in the form of Intellect, seemed inadequate to truth; to attain to which there intervened Reason, or speculative procedure, the synthesis of theory and practice, a knowledge which is action, and an action which is knowledge. Sometimes, Reason itself, thus transfigured, seemed insufficient, owing to the presence of ratiocinative processes, which came to it from the Intellect, and were absorbed by it; and the supreme faculty of truth was conceived, not as logical reasoning, but as intuition; an intuition differing from the purely artistic and revealing the genuine truth, an organ of the absolute, intellectual Intuition. It was urged against intellectual intuition that it created irresponsibility in the field of truth, and made lawful every individual caprice. But a similar objection could be brought against Reason, which is superior to knowledge, and is the synthesis of theory and practice: while, on the other hand, it cannot be denied, both of intellectual Intuition and of Reason, that on the whole they affirmed or tended to affirm the rights of the pure Concept, as opposed to empirical and abstract concepts.
Uniqueness of thought.
For our part, we have no need to lower the cognitive activity beneath the level of truth, by attributing to it an intellectualiste and arbitrary function; nor, on the other hand (in order to supplement knowledge and intellect thus pauperized), to exalt Reason above itself. Thought (call it Intellect, or Reason, or what you will) is always thought; and it always thinks with pure concepts, never with pseudoconcepts. And since there is not another thought beneath thought, so there is not another thought superior to it. The difficulties which led to these conclusions have been completely explained, when we have distinguished concepts from pseudoconcepts, and demonstrated the heterogeneity which exists between these two forms of spiritual products.
[V]
CRITIQUE OF THE DIVISIONS OF THE CONCEPTS AND THEORY OF DISTINCTION AND DEFINITION
The pseudoconcepts, not a subdivision of the concept.
Precisely because they are heterogeneous formations, pure concepts and pseudoconcepts do not constitute divisions of the generic concept of the concept. To assume that they did, would be a horrible confusion of terms, not far different (to use Spinoza's example) from that of the division of the dog into animal dog and constellation dog; though poets used at one time to talk of the celestial dog also, as "barking and biting," when the sun implacably burned the fields.
Obscurity, clearness and distinction, not subdivisions of the concept.
And seeing that our point of view is philosophic, we can take no account of another division of the concept, which had great fame and authority in the past: that into obscure, confused, clear and distinct concepts and the like, or of the degrees of perfection to which the concept attains. Such a division can retain at the most but an empirical and approximate value, and under this aspect it will be difficult altogether to renounce it in ordinary discourse; but it has no logical and philosophic value whatever. The concept is what is truly concept, the perfect concept, not at all the encumbered or wandering tendency toward it. Yet that division had great historical importance. By means of it, indeed, the attempt was made to differentiate the concept, under the name of clear and distinct thought, from the intuition, which was clear but confused thought, and both of these from sensation, impression, or emotion, which was called obscure. This was attempted, but without success; the problem was set but not solved; for the solution was only attained when it was seen that, in this case, it was not a question of three degrees of thought, as absolute logic claimed, but of three forms of the spirit: of thought or distinction, of intuition ox clearness; and of the practical activity, obscurity or naturality.
Non-existence of subdivisions of the concept as a logic at form.
Logically, the concept does not give rise to distinctions, for there are not several forms of concept, but one only. This is a perfectly analogous result in Logic to that which we reached in Æsthetic, when we established the uniqueness of intuition or expression, and the non-existence of special modes or classes of expressions (except in the empirical sense, in which we can always establish as many classes as we wish). In distinguishing the forms of the spirit, the two principal forms, theoretic and practical, having been divided, and the theoretic having been subdivided into intuition and concept, there is no place for a further subdivision of the theoretic forms, since intuition and concept are each of them indivisible forms. The reason for this indivisibility cannot be clearly understood, save by the complete development of the Philosophy of the spirit; and it is only to be remarked here in passing, that the division of intuition and concept has as its foundation the distinction between individual and universal. And since in this distinction there is no medium quid nor an ulterius, a third or fourth intermediate form, so there is no subdivision; since we pass from the concept of individuality to single individuality, which is not a concept, and from the concept of the concept to the single act of thought, which is no longer the simple definition of logical thinking, but effective logical thinking itself.
The distinctions of the concept not logical, but real.
Since all subdivision of the logical form of the concept has been excluded, the multiplicity of concepts can be referred only to the variety of the objects, which are thought in the logical form of the concept. The concept of goodness is not that of beauty; or rather, both are logically the same thing, since both are logical form; but the aspect of reality designated by the first is not the same aspect of reality as is designated by the second.
Multiplicity of the concepts, and the logical difficulty arising therefrom. Necessity of overcoming it.
But here arises the difficulty. How can it be that since in the concept we deal with reality, in its universal aspect, we yet obtain so many various forms of reality, that is, so many distinct concepts (for example, passion, will, morality, imagination, thought, and so on), so many universals, whereas the concept should give us the universal. If this variety were not overcome or capable of being overcome by the concept, we should have to conclude that the true universal is not attainable by thought, and to return to scepticism, or at least to that peculiar form of logical scepticism which makes the consciousness of unity an act of the inner life, which cannot be stated in terms of logic; that is, mysticism. The distinction of the concepts, one from another, in the absence of unity, is separation and atomism; and it would certainly not be worth while getting out of the multiplicity of representations if we were then to fall into that of the concepts. For this, no less than the other, would issue in a progressus ad infinitum, for who would ever be able to affirm that the concepts which were discovered and enumerated were all the concepts? If they be ten, why should they not be, if better observed, twenty, a hundred, or fifty thousand? Why, indeed, should they not be just as numerous as the representations, that is to say, infinite? Spinoza, who counted, without mediating between them, two attributes of substance, thought and extension, admitted, with perfect coherence, that two are known to us, but that the attributes of Substance must in reality be considered infinite in number.
Impossibility of eliminating it.
The concept, then, demands that this multiplicity be denied; and we can affirm that the real is one, because the concept, by means of which alone we know it, is one; the content is one, because the form of thought is one. But in accepting this claim, we run into another difficulty. If we jettison distinction, the unity that we attain is an empty unity, deprived of organic character, a whole without parts, a simple beyond the representations, and therefore inexpressible so that we should return to mysticism by another route. A whole is a whole, only because and in so far as it has parts, indeed is parts; an organism is such, because it has and is organs and functions; a unity is thinkable only in so far as it has distinctions in itself, and is the unity of the distinctions. Unity without distinction is as repugnant to thought as distinction without unity.
Unify as distinction.
It follows, therefore, that both terms are reciprocally indispensable, and that the distinctions of the concept are not the negation of the concept, nor something outside the concept, but the concept itself, understood in its truth; the one-distinct; one, only because distinct, and distinct only because one. Unity and distinction are correlative and therefore inseparable.
Inadequateness of the numerical concept of multiplicity.
The distinct concepts, constituting in their distinction unity, cannot, above all, be infinite in number, for in that case they would be equivalent to the representations. Not indeed that they are finite in number, as if they were all alike equally arranged upon one and the same plane, and capable of being placed in any other sort of order, without alteration in their being. The Beautiful, the True, the Useful, the Good, are not the first steps in a numerical series, nor do they permit themselves to be arranged at pleasure, so that we may place the beautiful after the true, or the good before the useful, or the useful before the true, and so on. They have a necessary order, and mutually imply one another; and from this we learn that they are not to be described as finite in number, since number is altogether incapable of expressing such a relation. To count implies having objects separate from one another before us; and here, on the contrary, we have terms that are distinct, but inseparable, of which the second is not only second, but, in a certain sense, also first, and the first not only first, but, in a certain way, also second. We cannot dispense with numbers, when treating of these concepts of the spirit, owing to their convenience for handling the subject; hence we talk, for example, of the ten categories, or of the three terms of the concept, or of the four forms of the spirit. But in this case the numbers are mere symbols; and we must beware of understanding the objects which they enumerate, as though they were ten sheep, three oxen, and four cows.
Relation of the distinct concepts as ideal history.
This relation of the distinct concepts in the unity which they constitute, can be compared to the spectacle of life, in which every fact is in relation with all other facts, and the fact which comes after is certainly different from that which precedes, but is also the same; since the consequent fact contains in itself the preceding, as, in a certain sense, the preceding virtually contained the consequent, and was what it was, just because it possessed the power of producing the consequent. This is called history; and therefore (continuing to develop the comparison) the relation of the concepts, which are distinct in the unity of the concept, can be called and has been called ideal history; and the logical theory of such ideal history has been regarded as the theory of the degrees of the concept, just as real history is conceived as a series of degrees of civilization. And since the theory of the degrees of the concept is the theory of its distinction, and its distinction is not different from its unity, it is clear that this theory can be separated from the general doctrine of the concept with which it is substantially one, only with a view to greater facility of exposition.
Distinction between ideal and real history.
Metaphors and comparisons are metaphors and comparisons and (like all forms of language) their effectiveness for the purposes of dissertation is accompanied, as we know, by the danger of misunderstanding. In order to avoid this, without at the same time renouncing the convenience of such modes of expression, it will be well to insist that the historical series, where the distinct concepts appear connected, is ideal, and therefore outside space and time, and eternal; so that it would be erroneous to conceive that in any smallest fragment of reality, or in any most fugitive instant of it, one degree is found without the other, the first without the second, or the first and the second without the third. Here too, we must allow for the exigencies of exposition, whereby, sometimes, when we intend to emphasize the distinction, we are led to speak of the relation of one degree to another, as if they were distinct existences; as if the practical man really existed side by side with the theoretic man, or the poet side by side with the philosopher, or as if the work of Art stood separate from the labour of reflection, and so on. But if a particular historical fact can in a certain sense be considered as essentially distinct in time and space, the grades of the concept are not existentially, temporally, and spatially distinct.
Ideal and abstract distinction.
An opposite, but not less serious error, would be to conceive the grades of the concept as distinct only abstractly, thus making abstract concepts of distinct concepts. The abstract distinction is unreal; and that of the concept is real; and the reality of the distinction (since here we are dealing with the concept) is precisely ideality, not abstraction. The universal, and therefore also all the forms of the universal, are found in every minutest fragment of life, in the so-called physical atom of the physicists, or in the psychical atom of the psychologists; the concept is therefore all distinct concepts. But each one of them is, as it were, distinct in that union; and in the same way as man is man, in so far as he affirms all his activities and his entire humanity, and yet cannot do this, save by specializing as a scientific man, a politician, a poet, and so on. In the same way the thinker, when thinking reality, can think it only in its distinct aspects, and in this way only he thinks it in its unity. A work of Art and a philosophical work, an act of thought or of will, cannot be taken up in the hand or pointed out with the finger; and it can be affirmed only in a practical and approximate sense that this book is poetry, and that philosophy, that this movement is a theoretic or practical, a utilitarian or a moral act. It is well understood that this book is also philosophy; and that it is also a practical act; just as that useful act is also moral, and also theoretic; and vice versa. But to think a certain intuitive datum and to recognize it as an affirmation of the whole spirit, is not possible save by thinking its different aspects distinctly. This renders possible, for example, a criticism of Art, conducted exclusively from the point of view of Art; or a philosophical criticism, from the exclusive point of view of philosophy; or a moral judgment, which considers exclusively the moral initiative of the individual, and so on. And therefore, here as in the preceding case, it is needful to guard against forcing the comparison with history too far, and conceiving, in history, the possibility of divisions as rigorous as in the concept. If distinct concepts be not existences, existences are not distinct concepts; a fact cannot be placed in the same relation to another fact, as one grade of the concept to another, precisely because in every fact there are all the determinations of the concept, and a fact in relation to another fact is not a conceptual determination.
Certainly distinct concepts can become simple abstractions; but this only happens when they are taken in an abstract way, and so separated from one another, co-ordinated and made parallel, by means of an arbitrary operation, which can be applied even to the pure concepts. The distinct concepts then become changed into pseudoconcepts, and the character of abstraction belongs to these last, not to the distinct concepts as such, which are always at once distinct and united.
Other usual distinctions of the concept, and their meaning, identicals, disparates, primitives, and derivatives, etc.
This is not the place to dwell upon the other forms of concepts met with in Logic, known as identical concepts, which cannot be anything but synonyms, or words;—or upon disparate concepts, which are simply distinct concepts, in so far as they are taken in a relation, which is not that given in the distinction, and is therefore arbitrary, so that the concepts, thus presented without the necessary intermediaries, appear disparate;—or primitive and derived concepts, or simple and compound concepts; a distinction which does not exist for the pure concepts, since they are always simple and primitive, never compound or derived.
Universals, particulars, and singulars. Intension and extension.
But the distinction of concepts into universal, particular, and singular deserves elucidation, for the reason that we are now giving. Concepts, which are only universal, or only particular, or only singular, or to which any one of these determinations is wanting, are not conceivable. Indeed, universality only means that the distinct concept is also the unique concept, of which it is a distinction and which is composed of such distinctions; particularity means that the distinct concept is in a determinate! relation with another distinct concept; and singularity that in this particularity and in that universality it is also itself. Thus the distinct concept is always singular, and therefore universal and particular; and the universal concept would be abstract were it not also particular and singular. In every concept there is the whole concept, and all other concepts; but there is also one determinate concept. For example, beauty is spirit (universality), theoretic spirit (particularity), and intuitive spirit (singularity); that is to say, the whole spirit, in so far as it is intuition. Owing to this distinction into universal, particular, and singular, it is self-evident that intension and extension are, as the phrase is, in inverse ratio, since this amounts to repeating that the universal is universal, the particular particular, and the singular singular.
Logical definition.
The interest of this distinction of universality, particularity, and singularity lies in this, that upon it is founded the doctrine of definition, since it is not possible to define, that is, to think a concept, save by thinking its singularity (peculiarity), nor to think this, save by determining it as particularity (relation with the other distinct concepts) and universality (relation with the whole). Conversely, it is not possible to think universality without determining its particularity and singularity; otherwise that universal would be empty. The distinct concepts are defined by means of the one, and the one by means of the distinct. This doctrine, thus made clear, is also in harmony with that of the nature of the concepts.
Unity, distinction as circle.
But the theory of the distinct concepts and that of their unity still present something irrational and give rise to a new difficulty. Because, if it be true that the distinct concepts constitute an ideal history or series of grades, it is also true that in such a history and series there is a first and last, the concept a, which opens the series, and, let us say, the concept d, which concludes it. Commencement and end thus remain both without motive. But in order that the concept be unity in distinction and that it may be compared to an organism, it is necessary that it have no other commencement save itself, and that none of its single distinct terms be an absolute commencement. For, in fact, in the organism no member has priority over the others; but each is reciprocally first and last. Now this means that the symbol of linear series is inadequate to the concept; and that its true symbol is the circle, in which a and d function, in turn, as first and last. And indeed the distinct concepts, as eternal ideal history, are an eternal going and returning, in which a, b, c, d arise from d, without possibility of pause or stay, and in which each one, whether a or b or c or d, being unable to change its place, is to be designated, in turn, as first or as last. For example, in the Philosophy of Spirit it can be said with equal truth or error that the end or final goal of the spirit is to know or to act, art or philosophy; in truth, neither in particular, but only their totality is the end; or only the Spirit is the end of the Spirit. Thus is eliminated the rational difficulty, which might be urged in relation to this part.
Distinction in the pseudoconcepts.
It is still better eliminated, and the whole doctrine of the pure concepts which we have been expounding is thereby illumined and thrown into clearer outline when we observe the transformation (which we will not call either inversion or perversion), to which it is submitted in the doctrine of the pseudoconcepts. It is therefore expedient to refer rapidly to this for the sake of contrast and emphasis.
Above all, certain distinctions, which in the doctrine of the pure concepts have been seen to be without significance or importance, find their significance in the doctrine of the pseudoconcepts. We understand, for instance, how and why identical concepts can be discussed; since, in the field of caprice, one and the same thing, or one and the same not-thing, can be defined in different ways and give rise to two or more concepts which, owing to the identity of their matter, are thus identical. The concept of a figure having three angles, or that of a figure having three sides, are identical concepts, alike applicable to the triangle; the concept of 3 x 4 and that of 6 x 2 are identical, since both are definitions of the number 12; the concept of a feline domestic animal and that of a domestic animal that eats mice are identical, both being definitions of the cat. It is likewise clear how and why primary and derived, simple and compound concepts are discussed; for our arbitrary choice, by forming certain concepts and making use of these to form others, comes to posit the first as simple and primitive in relation to the second, which are, in their turn, to be considered as compound or secondary.
The subordination and co-ordination of the empirical concepts.
We have already seen that the arbitrary concept differs from the pure concept in that, of necessity, it produces two forms by the two acts of empiricism and emptiness and thereby gives rise to two different types of formations, empirical and abstract concepts. Empirical concepts have this property, that in them unity is outside distinction and distinction outside unity. And it is natural: for if it were the case that these two determinations penetrated one another, the concepts would be, as we have already noted, not arbitrary, but necessary and true. If the distinction is placed outside the unity, every division that is given of it is, like the concepts themselves, arbitrary; and every enumeration is also arbitrary, because those concepts can be infinitely multiplied. In exchange for the rationally determined and completely unified distinctions of the pure concepts, the pseudoconcepts offer multiple groups, arbitrarily formed, and sometimes also unified in a single group, which embraces the entire field of the knowable, but in such a way as not to exclude an infinite number of other ways of apprehending it.
In these groups the empirical concepts simulate the arrangement of the pure concepts, reducing the particular to the universal, that is to say, a certain number of concepts beneath another concept. But it is impossible in any way to think these subordinate concepts, as actualizations of the fundamental concept, which are developed from one another and return into themselves; hence we are compelled to leave them external to one another, simply co-ordinated. The scheme of subordination and co-ordination, and its relative spatial symbol (the symbol of classification), which is a right line, on the upper side of which falls perpendicularly another right line, and from whose lower side descend other perpendicular and therefore parallel right lines, is opposed to the circle and is the most evident ocular demonstration of the profound diversity of the two procedures. It will always be impossible to dispose a nexus of pure concepts in that classificatory scheme without falsifying them; it will always be impossible to transform empirical concepts into a series of grades without destroying them.
The definition in the empirical concepts, and the notes of the concept.
In consequence of the scheme of classification, the definition which, in the case of pure concepts, has the three moments of universality, particularity, and singularity, in the case of empirical concepts has only two, which are called genus and species; and is applied according to the rule, by means of the proximate genus and the specific difference. Its object indeed is simply to record, not to understand and to think, a given empirical formation; and this is fully attained when its position is determined by means of the indication of what is above and what is beside it. In order to determine it yet more accurately, the doctrine of the definition has been gradually enriched with other marks or predicables, which, in traditional Logic, are five: genus, species, differentia, property, accident. But it is a question of caprice upon caprice, of which it is not advisable to take too much account. And as it would be barbaric to apply the classificatory scheme to the pure concepts, so it would be equally barbaric to define the pure concepts by means of marks, that is, by means of characteristics mechanically arranged.
Series in the abstract concepts.
Where the thinker forgets the true function of the empirical concepts and is seized with the desire to develop them rationally, and thus to overcome the atomism of the scheme of classification and of extrinsic definition, he is led to refine them into abstract concepts, in which that scheme and that method of definition are overcome: the classification becomes a series (numerical series, series of geometrical forms, etc.), and the definition becomes genetic. But this improvement not only makes the empirical concepts disappear, and is therefore not improvement but death (like the death which the empirical concepts find in true knowledge when they return or mount up again to pure thought); but such improvement substitutes for empiricism emptiness. Series and genetic definitions answer without doubt to demands of the practical spirit; but, as we know, they do not yield truth, not even the truth which lies at the bottom of an empirical concept or of a falsified and mutilated representation. Hence, here as elsewhere, empirical concepts and abstract concepts reveal their double one-sidedness, and exhibit more significantly the value of the unity which they break up; the distinction, which is not classification, but circle and unity; the definition, which is not an aggregate of intuitive data; the series, which is a complete series; the genesis, which is not abstract but ideal.
[VI]
OPPOSITION AND LOGICAL PRINCIPLES
Opposite or contrary concepts.
By what has been said, we have made sufficiently clear the nature of distinct concepts, that is to say, unity in distinction and distinction in unity, and we have left no doubt as to the kind of unity which the concept affirms, that it is not in spite of but by means of distinction. But another difficulty seems to arise, due to another order of concepts, which are called opposites or contraries.
Their difference from distincts.
It is indubitable that opposite concepts neither are nor can be reduced to distincts; and this becomes evident so soon as instances of both are recalled to mind. In the system of the spirit, for instance, the practical activity will be distinct from the theoretic, and within the practical activity the utilitarian and ethical activities will be distinct. But the contrary of the practical activity is practical inactivity, the contrary of utility, harmfulness, the contrary of morality, immorality. Beauty, truth, utility, moral good are distinct concepts; but it is easy to see that ugliness, falsehood, uselessness, evil cannot be added to or inserted among them. Nor is this all: upon closer inspection we perceive that the second series cannot be added to or mingled with the first, because each of the contrary terms is already inherent in its contrary, or accompanies it, as shadow accompanies light. Beauty is such, because it denies ugliness; good, because it denies evil, and so on. The opposite is not positive, but negative, and as such is accompanied by the positive.
Confirmation of this given by the Logic of empiria.
This difference of nature between opposite concepts and distinct concepts is also reflected in empirical Logic, that is, in the theory of pseudoconcepts; because this Logic, while it reduces the distinct concepts to species, refuses to treat the opposites in like manner. Hence one does not say that the genus dog is divided into the species live dogs and dead dogs; or that the genus moral man is divided into the species moral and immoral man; and if such has sometimes been affirmed, an impropriety—even for this kind of Logic—has been committed, since the species can never be the negation of the genus. So this empirical Logic confirms in its own way that opposite concepts are different from distinct.
Difficulty arising from the double type of concepts, opposites, and distincts.
It is, however, equally evident that we cannot content ourselves with enumerating the opposite, side by side with the distinct concepts; because we should thus be adopting non-philosophical methods in place of philosophical, and in the philosophical theory of Logic should be lapsing into illogicality or empiricism. If the unity of the concept be at the same time its self-distinction, how can that same unity have another parallel sort of division or self-distinction, which is self-opposition! If it is inconceivable to resolve the one into the other, and to make of the opposites distinct concepts, or of the distincts opposite concepts, then it is not less inconceivable to leave both distincts and opposites within the unity of the concept unmediated and unexplained.
Nature of the opposites; and their identity with the distincts when distinguished from them.
It will possibly serve towards a solution of this difficulty—undoubtedly a very grave one—to go deeply into the nature of the difference between opposite and distinct concepts. These latter are distinguishable in unity; reality is their unity and also their distinction. Man is thought and action; indivisible but distinguishable forms; so much so that in so far as we think we deny action, and in so far as we act we deny thought. But the opposites are not distinguishable in this way: the man who commits an evil action, if he really does something, does not commit an evil action, but an action which is useful to him; the man who thinks a false thought, if he does something real, does not think the false thought, indeed does not think at all, but, on the contrary, lives and provides for his own convenience and in general for a good which at that instant he desires. Hence we see that the opposites, when taken as distinct moments, are no longer opposites, but distincts; and in that case they retain negative denominations only metaphorically, whereas, strictly speaking, they would merit positive. In order, therefore, that the consideration of opposition be not changed when superficially regarded into that of distinction, it is desirable not to make of it a distinction in the bosom of the concept, that is to say, to combat every distinction by opposition, by declaring it to be merely abstract.
Impossibility of distinguishing one opposite from another, as concept from concept.
So true is this, that no sooner are opposite terms taken as distincts than the one becomes the other, that is to say, both evaporate into emptiness. The disputes caused by the opposition of being to not-being and the unity of both in becoming are celebrated in this connection. And we know that being, thought as pure being, is the same as not-being or nothing; and nothing, thought as pure nothingness, is the same as pure being. Thus, the truth is neither the one nor the other, but is becoming, in which both are, but as opposites, and, therefore, indistinguishable: becoming is being itself, which has in it not-being, and so is also not-being. We cannot think the relation of being to not-being as the relation of one form of the spirit, or of reality, to another form. In the latter case we have unity in distinction: in the former, rectified or restored unity, that is to say, reaffirmed against emptiness; against the empty unity of mere being, or of mere not-being; or against the mere sum of being and of not-being.
The dialectic.
The two moments should certainly be synthesized, when we attack the abstract thought, which divides them: taken in themselves, they are, not two moments united in a third, but one only, the third (in this case also the number is a symbol), that is to say, the indistinguishability of the moments. It thus happens (be it said in passing) that Hegel, to whom we owe the polemic against empty being, was content for this purpose neither with the words unity and identity, nor with synthesis, nor with triad, and preferred to call this indistinguishable opposition in unity the objective dialectic of the real. But whatever be the words that we chose to employ, the thing is what has been said. The opposite is not the distinct of its opposite, but the abstraction of the true reality.
The opposites are not concepts, but the unique concept itself.
If this be the fact, the duality and parallelism of distinct and opposite concepts no longer exist. The opposites are the concept itself, and therefore the concepts themselves, each one in itself, in so far as it is determination of the concept, and in so far as it is conceived in its true reality. Reality, of which logical thought elaborates the concept, means, not motionless being or pure being, but opposition: the forms of reality, which the concept thinks in order to think reality in its fullness, are opposed in themselves; otherwise, they would not be forms of reality, or would not be at all. Fair is foul and foul is fair: beauty is such, because it has within it ugliness, the true is such because it has in it the false, the good is such because it has within it evil. If the negative term be removed, as is usually done in abstract thought, the positive also disappears; but precisely because, with the negative, the positive itself has been removed. When we talk of negative terms, or of non-values and so of not-beings as existing, existence really means that to the establishment of the fact we add the expression of the desire that another existence should arise upon that existence. "You are dishonest" means "You are a man that seeks your own pleasure" (a theoretic judgment); "but you ought to be" (no longer a judgment, but the expression of a desire) "something else, and so serve the universal ends of Reality." "You have written an ugly verse" will mean, for example, "You have provided for your own convenience and repose, and so have accomplished an economic act" (a theoretic judgment); "but you ought to accomplish an æsthetic act" (no longer judgment, but the expression of a wish). Examples can be multiplied. But every one has in him evil, because he has good: Satan is not a creature extraneous to God, nor the Minister of God, called Satan, but God himself. If God had not Satan in himself, he would be like food without salt, an abstract ideal, a simple ought to be which is not, and therefore impotent and useless. The Italian poet who had sung of Satan, as "rebellion" and "the avenging force of reason," had a profound meaning when he concluded by exalting God: as "the most lofty vision to which peoples attain in the force of their youth," "the Sun of sublime minds and of ardent hearts." He corrected and integrated the one abstraction with the other, and thus unconsciously attained to the fullness of truth.
Affirmation and negation.
Thought, in so far as it is itself life (that is to say, the life which is thought, and therefore life of life), and in so far as it is reality (that is to say, the reality which is thought, and therefore reality of reality) has in itself opposition; and for this reason it is also affirmation and negation; it does not affirm save by denying, and does not deny save by affirming. But it does not affirm and deny save by distinguishing, because thought is distinction, and we cannot distinguish (truly distinguish i.e., which is a different thing from the rough and ready separations made by the pseudoconcepts) save by unifying. He who meditates upon the connections of affirmation-negation and unity-distinction has before him the problem of the nature of thought, and so of the nature of reality; and he ends by seeing that those two connections are not parallel nor disparate, but are in their turn unified in unity-distinction understood as effective reality, and not as simple abstract possibility, or desire, or mere ought to be.
The principle of identity and contradiction; its true meaning and false interpretation.
If we now wish to state the nature of thought as reality in the form of law (a form which we know to be one with that of the concept, though the first term be adopted by preference for the pseudoconcepts), we can only say that the law of thought is the law of unity and distinction, and therefore that it is expressed in the two formulæ A is A (unity) and A is not B (distinction), which are precisely what is called the law or principle of identity and contradiction. It is a very improper, or, rather, a very equivocal formula, chiefly because it allows it to be supposed that the law or principle is outside or above thought, like a bridle and guide, whereas it is thought itself; and it has the further inconvenience of not placing in clear relief the unity of identity and distinction. But these are not too great evils, because misunderstandings can be made clear, and because—what we will not tire of repeating—all, all words indeed, are exposed to misunderstandings.
Another false interpretation; struggle with the principle of opposition. False application of this principle.
We have a much greater evil, when the principle of identity and contradiction is formulated and understood, not in the sense that A is not B, but in that of A is A only and not also not A, or its opposite; because, understood in this way, it leads directly to placing the negative moment outside the positive, not-being outside or opposite to being, and so, to the absurd conception of reality as motionless and empty being. In opposition to this degeneration of the principle of identity and contradiction, another law or principle has been conceived and made prominent, whose formula is: "A is also not A," or "everything is self-contradicting." This is a necessary and provident reaction against the one-sided way in which the preceding principle was interpreted. But it too brings in its turn the inconvenience of all reactions, because it seems to rise up against the first law, like an irreconcilable rival destined to supplant it. In the first formula we have a duality of principles, which, as has been said, cannot logically be maintained; in the second, a degeneration in the opposite sense, the total loss of the criterion of distinction. To the false application of the principle of identity and contradiction succeeds the false application of the dialectic principle.
This false application has also been manifested in a form which could be called doubly arbitrary; that is to say, when it has attempted to treat dialectically neither more nor less than empirical and abstract concepts, whereas in any case it could not be applied to anything but the pure concepts. The dialectic belongs to opposed categories (or, rather, it is the thinking of the one category of opposition), not at all to representative and abstract fictions, which are based either upon mere representation or upon nothing. As the result of that arbitrary form, we have seen vegetable opposed to mineral, society opposed to the family, or even Rome opposed to Greece, and Napoleon to Rome; or the superficies actually opposed to the line, time to space, and the number two to the number one. But this error belongs to another more general error, which we shall deal with in its place, when discussing philosophism.
Errors of the dialectic applied to the relation of the distincts.
Here it is important to indicate only that false application of the dialectic which tends to resolve in itself and so to destroy distinct concepts, by treating them as opposites. The distinct concepts are distinct and not opposite; and they cannot be opposite, precisely because they already have opposition in themselves. Fancy has its opposite in itself, fanciful passivity, or æsthetic ugliness, and therefore it is not the opposite of thought, which in its turn has its opposite in itself, logical passivity, antithought, or the false. Certainly (as has been said), he who does not make the beautiful (in so far as he does anything, and he cannot but do something) effectively produces another value, for example the useful, and he who does not think, if he does anything, produces another value, the fanciful for instance, and creates a work of art. But in this way we issue from those determinations considered in themselves, from the opposition which is in them and which constitutes them; and from the consideration of effectual opposition we pass to the consideration of distinction. Considered as real, the opposite cannot be anything but the distinct; but the opposite is precisely the unreal in the real, and not a form or grade of reality. It will be said that unless one distinct concept is opposed to another, it is not clear how there can be a transition from one to the other. But this is a confusion between concept and fact, between ideal and therefore eternal moments of the real and their existential manifestations. Existentially, a poet does not become a philosopher, save when in his spirit there arises a contradiction to his poetry, that is to say, when he is no longer satisfied with the individual and with the individual intuition: in that moment, he does not pass into but is a philosopher, because to pass, to be effectual, and to become are synonyms. In the same way, a poet does not pass from one intuition to another, or from one work of art to another, save through the formation of an internal contradiction, owing to which his previous work no longer satisfies him; and he passes into, that is to say he becomes and truly is, another poet. Transition is the law of the whole of life; and therefore it is in all the existential and contingent determinations of each of these forms. We pass from one verse of a poem to another because the first verse satisfies, and also does not satisfy. The ideal moments, on the contrary, do not pass into one another, because they are eternally in each other, distinct, and one with each other.
Its reductio ad absurdum.
Moreover, the violent application of the dialectic to the distincts, and their illegitimate distortion into opposites, due to an elevated but ill-directed tendency to unity, is punished where it sins; that is to say, in not attaining to that unity to which it aspired. The connection of distinct is circular, and therefore true unity; the application of opposites to the forms of the spirit and of reality would produce, on the contrary, not the circle, which is true infinity, but the progressif ad infinitum, which is false or bad infinity. Indeed, if opposition determine the transition from one ideal grade to the other, from one form to the other, and is the sole character and supreme law of the real, by what right can a final form be established, in which that transition should no longer take place? By what right, for instance, should the spirit, which moves from the impression or emotion and passes dialectically to the intuition, and by a new dialectic transition to logical thought, remain calm and satisfied there? Why (as is the contention of such philosophies) should the thought of the Absolute or of the Idea be the end of Life? In obedience to the law of opposition, it would be necessary that thought, which denies intuition, should be in its turn denied; and the denial again denied; and so on, to infinity. This negation to infinity exists, certainly, and it is life itself, seen in representation; but precisely for this reason we do not escape from this evil infinite of representation save through the true infinite, which places the infinite in every moment, the first in the last and the last in the first, that is to say, places in every moment unity, which is distinction.
We must, however, recognize that the false application of the dialectic has had, per accidens, the excellent result of demonstrating the instability of a crowd of ill-distinguished concepts; as we must take advantage of the devastation and overturning of secular prejudices which it has brought about. But that erroneous dialectic has also promoted the habit of lack of precision in the concepts, and sometimes encouraged the charlatanism of superficial thinkers; though this too, per accidens, so far as concerns the initial motive of dialectical polemic is rich with profound truth.
The Improper form of logical principles or laws. The principle of sufficient reason.
The form of law given to the concept of the concept has led to this confusion; for it is an improper form, all saturated with empirical usage. Given the law of identity and contradiction, and given side by side with it that of opposition or dialectic, there inevitably arises a seeming duality; whereas the two laws are nothing but two inopportune forms of expressing the unique nature of the concept, or, rather, of reality itself. The peculiar nature of the concept may rather be said to be expressed in another law or principle, namely that of sufficient reason. This principle is ordinarily used as referring to the concept of cause, or to the pseudoconcepts, but (both in its peculiar tendency and in its historical origin) it truly belonged to the concept of end or reason. That is to say, it was desired to establish that things cannot be said to be known, when any sort of cause for them is adduced, but on the contrary, that cause must be adduced, which is also the end, and which is, therefore, the sufficient reason. But what else does seeking the sufficient reason of things mean but thinking them in their truth, conceiving them in their universality, and stating their concept? This is logical thought, as distinct from representation or intuition, which offers things but not reasons, individuality but not universality.
It is not worth while talking about the other so-called logical principles; because, either they have been already implicitly dealt with, or they are ineptitudes without any sort of interest.
[SECOND SECTION]
THE INDIVIDUAL JUDGMENT
I.
THE CONCEPT AND VERBAL FORM. THE DEFINITIVE JUDGMENT
Relation of the logical with the Æsthetic form.
With the ascent from the intuition-expression to the concept, and with the concentration upon it of our attention, we have risen from the purely imaginative to the purely logical form of the spirit. We must now, so to speak, begin the descent; or rather consider in greater detail the position that has been reached, in order to understand it in all its conditions and circumstances. Were we not to do this, we should have given a concept of the concept, which would err by abstraction.
The concept as expression.
The concept, to which we have risen from intuition, does not live in empty space. It does not exist as a mere concept, or as something abstract. The air it breathes is the intuition itself, from which it detaches itself, but in whose ambient it continues. If these images seem unsuitable, or somewhat drawn from the sphere of representations, we may choose others, such as that, which we used on another occasion, of the second grade, which, to be second, must rest upon the first, and, in a certain sense, be the first. The concept does not exist, and cannot exist, save in the intuitive and expressive forms, or in what is called language. To think is also to speak; he who does not express, or does not know how to express his concept, does not possess it: at the most, he presumes or hopes to possess it. Not only is there never in reality an unexpressed representation, a pictorial vision unpainted, or a song unsung; but there is never even a concept which is simply thought and not also translated into words.
We have previously defended this thesis against the objections which are wont to be made to it.[1] But in order to recapitulate and thus to avoid the misunderstandings which might arise from the abbreviating formulæ which we use, it will be well to repeat that the concept is not expressed only in the so-called vocal or verbal forms; and if we mention these more than others, it will be by synecdoche, that is to say, when we refer to them, we desire to take them as representative of all the others. Undoubtedly, the affirmation that the concept can also be expressed in non-verbal form may cause surprise. It will be said that geometry itself, in so far as it describes geometrical figures, at the same time employs or implies speech; and we shall be ironically challenged to attempt to set the Critique of Pure Reason to music or to make a building of Newton's Natural Philosophy. But we must carefully beware of breaking up the unity of the intuitive spirit, because errors arise and become incorrigible, precisely through such breaking up. Words, tones, colours, and lines are physical abstractions, and only by abstraction can they be successfully separated. In reality, he who looks at a picture with his eyes also speaks it in words to himself; he who sings an air also has its words in his spirit; he who builds a palace or a church speaks, sings, and makes music; he who reads a poem sings, paints, sculptures, constructs. The Critique of Pure Reason cannot be set to music, because it already has its music; the Natural Philosophy cannot be built in stone, because it is already architectonic; in exactly the same way that the Transfiguration cannot be turned into a symphony in four movements, or the Promessi Sposi into a series of pictures. Thus the challenge, if made, would testify to the lack of reflection on the part of the challengers, for they would confuse physical distinctions with the real and concrete act of the intuitive spirit.
Æsthetic and Æsthetic-logical expressions or expressions of the concept; propositions and judgments.
Owing to the incarnation of the concept or logic in expression and language, language is quite full of logical elements; hence people are often led astray into affirming (we have already made clear the erroneousness[2] of this) that language is a logical function. Water might as well be called wine, because wine has been poured into the water. But language as language or as simple æsthetic fact is one thing, and language as expression of logical thought is another, for in this case, certainly, language remains always language and subject to the law of language, but is also more than language. If the first be termed simple expression, logos seimantikos, as Aristotle said, or judicium æstheticum sive sensitivum, according to the school of Baumgarten, the second must on the contrary be called affirmation, logos apophantikos, judicium logicum or æsthetico-logicum. To this same issue we can reduce, if we understand it properly, the distinction between proposition and judgment, for they are only distinguishable in so far as it is assumed that the second form is dominated by the concept, whereas the first is given as free of such domination.
But we should seek in vain for facts in proof of expressions belonging to either form, because we cannot furnish them without making the proviso that we understand them in the meaning of one or other of the two forms. Taken by themselves, any verbal expressions which we adduce or can adduce as proofs are indeterminate and therefore of many meanings. "Love is life" can be the saying of a poet who notes an impression with which his soul is agitated and marks it with fervour and solemnity; or it can be, equally, the logical affirmation of some one philosophizing on the essence of life. "Clear, fresh, and sweet waters," when uttered by Petrarch, is an æsthetic proposition; but the same words become a logical judgment when, for example, they answer the question as to which is the most celebrated love song of Petrarch, or pseudological when applied by a naturalist to the substance water. A word no longer has meaning, or—what amounts to the same thing—has no definite meaning, when it is abstracted from the circumstances, the implications, the emphasis, and the gesture with which it has been thought, animated, and pronounced. Nevertheless, forgetfulness of this elementary hermeneutic canon, by which a word is a word only on the soil that has produced it and to which it must be restored, has been in Logic the cause of interminable disputes as to the logical nature of this or that verbal phrase, separated from the whole to which it belonged and rendered abstract. It would be much less equivocal to adduce such poems as I Sepolcri, or the song A Silvia, as documents of æsthetic propositions, and philosophical treatises (for examples, the Metaphysics or the Analytics) as documents of æsthetic-logical judgments or propositions. But here, too, we should need to add: "poetry considered as poetry," and "philosophy considered as philosophy," since it is clear that a poem is prose in the soul of him who reflects upon it, and prose is poetry in the soul of a writer vibrating with enthusiasm and emotion in the act of composition. Facts do not constitute proofs in philosophy, save when they are interpreted through the medium of philosophy; and then, too, they become mere examples, which aid in fixing the attention upon what is being demonstrated.
Surpassing of the dualism of thought and language.
The relation between language and thought, conceived as we have conceived it, does not admit the criticism that it creates an insuperable dualism, though that criticism was justly aimed at those who set the two concepts side by side and parallel with one another. In that case the sole means that remained of obtaining unity was to present language as an acoustic fact and declare thought to be the unique psychic reality, and language the physical side of the psychophysical nexus. But no one will henceforth wish to repeat the blasphemy that language (the synonym of fancy and poetry) is nothing but a physical-acoustic fact and merely adherent to thought. We have in the two forms, notwithstanding their clear distinction, not parallelism and dualism, but an organic relation of connection in distinction,—the first form being implied in the second, the second crystallized into the first,—precisely in conformity with that rhythmical movement of the concepts which we have already discussed. And thus, too, when asked if the prius of Logic be the concept or the judgment, we must reply that the judgment, understood as an æsthetic proposition, is certainly a prius; but understood as a logical judgment, it is neither a prius nor a posterius in relation to the concept, since it is the concept itself in its effectuality.
The logical judgment as definition.
This pure expression of the concept, which is the logical judgment, constitutes what is called definitive judgment or definition. This, considered on its verbal side, or as the synthesis of thought and word, does not give rise to any special logical theory in addition to that which we have already stated, when definition showed itself to be one with distinction or conceptual thought; nor does it give rise to any special æsthetic doctrine, since the general doctrine expounded elsewhere includes this also. The dispute, as to whether the definition be verbal or real, finds its solution in the relation we have just established between thought and words; hence definition is verbal because it is real, and vice versa. And as to the other meaning of the question, whether, that is to say, definition be nominal or real, conventional or corresponding with the truth, that finds its solution in the distinction between pseudoconcepts and concepts, the first of which, it is clear, are defined only in a nominalist or conventional way, because they are, in fact, nominalist and conventional.
The indistinguishability of subject and predicate in the definition. Unity of essence and existence.
Greater importance attaches to the other dispute, as to whether the definitive judgment be analysable into subject, predicate, and copula, whether, for example, the definition: "the will is the practical form of the spirit," can be resolved in the terms: "will" (subject), "practical form of the spirit" (predicate), and "is" (copula). Now, the difference between subject and predicate is here illusory, since predicate means the universal which is predicated of an individual, and here both the so-called subject and the so-called predicate are two universals, and the second, far from being more ample than the first, is the first itself. As to the "is," since the two distinct terms which should be copulated are wanting, it is not a copula; nor has it even the value of a predicate, as in the case in which it is asserted of an individual fact that it is, that is to say, that it has really happened and is existing. The "is," in the case of the definition, expresses nothing except simply the act of thought which thinks; and what is thought is, in so far as it is thought; if it were not, it would not be thought; and if it were not thought, it would not be. The concept gives the essence of things, and in the concept essence involves existence. That this proposition has sometimes been contested is due solely to the confusion between the essence, which is existence and therefore concept, and the existence which is not essence and therefore is representation. It is due therefore to the problem to which representations gave rise in this respect, and with which we shall deal further on. Freed from this confusion, the proposition is not contestable, and is the very basis of all logical thought, of which we have to examine the conceivability, or essence, that is, its internal necessity and coherence; and when this has been established, existence has also been established. If the concept of virtue be conceivable, virtue is; if the concept of God be conceivable, God is. To the most perfect concept the perfection of existence cannot be wanting without being itself non-existent.
Alleged emptiness of the definition.
Yet it would seem that though the definition affirms both essence and existence, and therefore the reality of the concept, it is, nevertheless, an empty form; for we have recognized that in every definition subject and predicate are the same, and it is therefore a tautological judgment. Certainly, the definition is tautological, but it is a sublime tautology, altogether different from the emptiness which is usually condemned in that expression. The tautology of the definition means that the concept is equal only to itself and cannot be resolved into another or explained by another. In the definition truth praesentia patet, and if the Goddess does not reveal herself by her simple presence, it is in vain that the priest will strive to discover her to the multitude by comparing her with what is inferior to her: with sensible things, which are particular manifestations of her.
Critique of the definition as fixed verbal form.
As in relation to the concept the definition is not to be held distinguishable, so in its expressive or verbal aspect it must not be understood as a formula separate from the basis of the discourse, as though it were the official garb of truth, the only worthy setting for that gem. Such a conception of its nature has caused pedantry of definition, hatred of and consequent rebellion against definitions. That pedantry, however, like all pedantries, had some good in it; that is to say, it energetically affirmed the need for exactitude; and too frequently the rebellion, denying, like all rebellions, not only the evil but also whatever good there might be in the thing opposed, has, through its hatred of formulæ, made exactitude of thought a negligible matter. But definition, taken verbally, is not a formula, a period or part of a book or discourse; it is the whole book or the whole discourse, from the first word to the last, including all that in it may seem accidental or superficial, including even the accent, the warmth, the emphasis, and the gesture of the living word, the notes, the parentheses, the full stops, and commas of the writing. Nor can we indicate a special literary form of definition, such as the treatise or system or manual, because the definition or concept is given alike in opuscules and in dialogues, in prose and in verse, in satire and in lyric, in comedy and in tragedy. To define, from the verbal point of view, means to express the concept; and all the expressions of the concept are definitions. This might trouble rhetoricians desirous of devoting a special chapter to the form of scientific treatment; but it does not trouble good sense, which quickly recognizes that the thing is just so, and that an epigram may give that precise and efficacious definition in which the ample scholastic volume of a professor sometimes fails, although full of pretence in this respect.
[1] See Æsthetic, part i. chap. iii.
[2] See Sect. I. Chap. III.
[II]
THE CONCEPT AND THE VERBAL FORM, THE SYLLOGISM
Identity of definition and syllogism.
The definition not only is not a formula separable or distinguishable from the thread of the discourse, but it cannot even be separated or distinguished from the ratiocinative forms or forms of demonstration, as is implied in the custom of logicians, who make the doctrine of the definition or of the systematic forms, as they usually call them, follow that of the forms of demonstration. They ingenuously imagine that thought, after having had a rough-and-tumble with its adversaries, and after having proclaimed, shouted, and finally vindicated its own right, mounts the rostrum and henceforth calm and sure of itself begins to define. But, in reality, to think is to combat continuously without any repose; and at every moment of that battle there is always peace and security; and definition is indistinguishable from demonstration, because it is found at every instant of the demonstration and coincides with it. Definition and Syllogism are the same thing.
Connection of concepts and thought of the concept.
The syllogism, indeed, is nothing but a connection of concepts; and although it has been disputed as to whether it must be considered so, or rather as a connection of logical propositions or judgments, the dispute is at once solved, so far as we are concerned, by observing :hat precisely because the syllogism is a connection of concepts, and concepts only exist in verbal forms, that is to say, in propositions or judgments, the syllogism is also a connection of judgments. This serves to reinforce the truth that if the effective presence of the verbal form must always be recognized in the logical fact, it must, on the other hand, be forgotten when Logic is being constructed and the nature of Logic and of the concept is being sought. Now, the connection of the concepts represents nothing new in relation to the thinking of the concept. As has already been seen, to think the concept signifies to think it in its distinctions, to place it in relation with the other concepts and to unify it with them in the unique concept. A concept thought outside its relations is indistinct, that is to say, not thought at all.
Therefore, the connection of the concepts, or syllogizing, cannot be conceived as a new and more complex logical act. To syllogize and to think are synonymous; although, in the ordinary use of language, the term "to syllogize" throws into special relief the verbal aspect of thinking, and, more exactly, the dynamic character of verbal exposition, which is indeed the very character of this exposition, for it is with difficulty, or only empirically, that it can be distinguished into static and dynamic, definition and demonstration.
Identity of judgment and of syllogism.