The definition as also historical judgment. Unity of truths of reason and of fact.

If we posit individual or historical conditions for every thinking of the concept, or of every definition (conditions which constitute the doubt, the problem, the question, to which the definition replies), we must admit that the definition, which contains the answer and affirms the concept, at the same time illumines by so doing those individual and historical conditions, that group of facts, from which it comes. It illumines, that is to say, qualifies it as what it is, grasps it as subject by giving it a predicate, and judges it. And since the fact is always individual, it forms an individual judgment. This means just that every definition is also an individual judgment. And this agrees with the hypothesis we framed: it is the assumption that seemed doubtful and now is proved. Truth of reason and truth of fact, analytic and synthetic judgments, judgments of definition and individual judgments, do not exist as distinct from one another: they are abstractions. The logical act is unique: it is the identity of definition and of individual judgment, the thinking of the pure concept.

Considerations confirming this.

Such a theory as this, although it goes against the ordinary way of thinking (though this, in its turn, suffers from its own contradictions), can be made convincing even to ordinary thought, when it is led to reflect upon what is implicitly understood in any judgments of definition that are pronounced. For example, definitions have always in view some particular adversary; they change according to time and circumstances, and those definitions that we felt constrained to give, at one stage of our mental development, we abandon at another, not because we judge them to be erroneous, but because they seem to us to be inopportune or commonplace. These and other facts, easy to observe, would not be possible, unless judgment of definite situations intervened to produce the change. And this judgment, though we may try to think of it as preceding or as following each one of those acts of definition, in reality neither precedes nor follows them, but on the contrary presents itself to the mind as contemporaneous, or rather coincident and identical with the act of definition. Every one who attains to a conceptual truth, every one, for instance, who achieves a definite doctrine of art or of morality, is immediately aware in himself that henceforth he knows more adequately not only the kingdom of ideas but also the kingdom of things. He realizes that as soon as an idea becomes more clear ipso facto it makes clearer the things out of whose vortex and tumult it comes. The star-gazer who forgets the earth, will be an astronomer, but certainly not a philosopher. In the act of thought, in the world of ideas, earth and sky are fused in one. Whoever looks well at the sky sees in it (miraculously!) the earth.

For the rest, the identity of definition and individual judgment, which we have demonstrated by various processes that are usually called negative, hypothetical, or inductive and based upon observation, is also confirmed by the process called deductive. For if the thinking of the concept be a degree superior to pure representation, and if in the degrees of the spirit the superior contain in itself the inferior, it is evident that representation as well as conceptual elements must always be found in the concept. But it is also evident that we can never find them distinct or distinguishable, but mingled in such a way that every distinction in them must be introduced solely by a deliberate act. The logical act is certainly spoken, represented, individualized. But when it is split up into concept and individual judgment, one of two things must happen: either we make an empirical and external distinction, of more or less; or two monstrosities are asserted: a non-individualized concept, which therefore does not exist, and a judgment not thought, and therefore non-existent as judgment, and existing, at the most, as pure intuition.

Critique of the false distinction between formal and material truths.

As our distinction between definitions and individual judgments was provisional, so also we must regard the consequence that we showed to issue from it—the partial justification of the doctrine of affirmations formally (logically) true and materially (individually) false. In reality, an error of fact implies a more or less inaccurate and erroneous definition, and an error of definition implies an error of fact. Thus this distinction also retains only an empirical meaning useful for the rough distinction of certain classes of errors from certain others. And resuming another previous observation, we must also say that, strictly speaking, it must be held impossible to err as to facts through the use of pure concepts, since the penetration of concepts, however great one may think it, is also always penetration of facts. This formula, too, cannot have anything but an empirical meaning, to indicate a certain type of errors of concept and of fact, which is popularly called the use of concepts and the use of facts, whereas it is the abuse of both.

Platonic and Aristotelian men.

In ordinary life it is customary to distinguish between those who cultivate ideas and those who cultivate facts, between Platonic and Aristotelian men. But if the Platonists seriously cultivate ideas, they cultivate facts and are also Aristotelians, and the Aristotelians cultivate ideas and are Platonists. Here, too, the difference is practical and extrinsic, not substantial; so much so that we are often astonished both at the singular clear-sightedness and penetration of the actual situation manifested by cultivators of ideas, and at the profound philosophy which we discover in the pretended cultivators of facts.

Theory of the application of the concepts, true for abstract concepts and false for pure concepts.

Hence the further consequence, that we must avoid the formula which speaks of the application of concepts, as, for instance, that in the individual judgment the concept is applied to the intuition. To say this, is, as a saying, innocuous, since like many others, it is metaphorical; but the doctrine implied in it, or that may be suggested by it (and that is indeed rarely separated from it), is altogether erroneous. The concept is not applied to the intuition, because it does not exist, even for a moment, outside of the intuition, and the judgment is a primitive act of the spirit, it is the logical spirit itself. If that formula has been successful, the reason for its success must usually be sought in the theory of the pseudoconcepts. Even these, in relation to the question which engages us now, and in so far as they are empirical concepts, are indistinguishable from individual pseudojudgments. To construct an empirical concept is equivalent to pronouncing that the objects a, b, c, d, etc., belong to a definite class. The two acts of the construction of the class and of effectual classification are only to be distinguished in an abstract manner. In conformity with this, we must now correct the theory that we have given above. But on the other hand, in so far as they are abstract concepts, they are void of all representative content, and therefore constituted outside of every individual judgment. They cannot of themselves give rise to such judgments. Before they can be united to them, we must apply them to individual judgments, elaborated into pseudojudgments, or made homogeneous by the process of classification. And in truth, 'not only the doctrine of application, but also the distinctions between analytic and synthetic judgments, between definitions and perceptions, between truths of reason and of fact, between necessity and contingency, find their confirmation in being referred to abstract concepts, as distinct from empirical. The same may be also said of the other doctrine, which distinguishes between affirmations that are formally true and materially false. Two griffins plus three griffins make five griffins. This is formally true, since it is true that two plus three equals five; but it is materially false, because griffins do not exist. Numbers and their laws would, for example, be truths of reason, necessary, a priori, in analytical judgments and pure definitions; truths derived from experience would be truths of fact, contingent, a posteriori, in synthetic and individual judgments. But though this conception may have currency in a field where, properly speaking, there is neither thought nor truth, in the field of truth and of thought the terms of both series are found in the corresponding terms of the other. Analysis apart from synthesis is as unthinkable as synthesis apart from analysis. In the same way we can empirically distinguish intention and action in the practical spirit. But in reality pure intention outside effectual action, is not even intention, because it is nothing. And an action beyond and without intention is nothing, for practical reality is the identity of intention and action. Here, too, theoretical spirit and practical spirit correspond at every point.


II

THE LOGICAL, A PRIORI SYNTHESIS
The identity of the judgment of definition and of the individual judgment, as synthesis a priori.

If analysis apart from synthesis, the a priori apart from the a posteriori, be inconceivable, and if synthesis apart from analysis, the a posteriori apart from the a priori, be equally inconceivable, then the true act of thought will be a synthetic analysis, an analytic synthesis, an a posteriori-a priori, or, if it be preferred, an a priori synthesis.

In this manner, the identity that we have established between the judgment of definition and the individual judgment comes to assume a name celebrated in the annals of modern philosophy. And by assuming it at this point, it is also able to affirm, since it has already demonstrated, the truth of the a priori synthesis, and to determine its exact content.

Objections raised by abstractionists and empiricists against the a priori synthesis.

This is not the place to enter again into the objections which the Kantian concept elicited (indeed could not fail to elicit): objections which in Italy too gave rise to very acute attempts at confutation, and which ended in the partial absorption of that concept into the mental organism of its opponents. Suffice it to say that all the objections to the a priori synthesis, when thoroughly examined, seem to be derived, as was to be expected, from the upholders of the two one-sided doctrines which were surpassed by the synthesis. Thus the dogmatists or abstractionists believed the concept to be thinkable apart from or above the facts (simple analysis); the empiricists perceived only the representative element and claimed to obtain the concept from mere facts (simple synthesis). Both failed to explain perception, or the individual judgment. The former found it to arise from the external and almost accidental contact between pure concepts and given facts; the latter sometimes assumed it without explanation, sometimes confused it with pure intuition, if not altogether with sensibility and emotion. It can be said that whoever does not accept the a priori synthesis is outside the path of modern philosophy, indeed of all philosophy. Strive to find or to rediscover that path, unless you wish to incur the punishment of trifling with empiricism, of lying to yourself with mysticism, or of wandering in the void with scholasticism.

False interpretation of the a priori synthesis.

Instead of noting and of examining all the objections made to the a priori synthesis (which we have already substantially discussed in the development of our treatise), it will be of assistance to add some explanations, which will prevent false interpretations of that concept. These false interpretations sometimes (as often happens) mingle with the true even in the philosopher who discovered it, and confer force and authority upon several of the objections to the very reality of the a priori synthesis.

A priori synthesis in general and logical a priori synthesis.

In the first place, in accordance with the formula given in Logic we must not speak of the a priori synthesis in general, but of the logical a priori synthesis. The a priori synthesis belongs to all the forms of the Spirit; indeed, the Spirit, considered universally, is nothing but a priori synthesis. The synthesis is operative in the æsthetic activity, not less than in the logical. For how could a poet create a pure intuition, if he did not proceed from a given fact, from some passionate moment of his own, conditioned and constituted in a particular way? Without something to intuite and to express could there ever be a poet? And would he be a poet, if he were to repeat that something mechanically, without transforming it into pure intuition? In his pure intuition, there is and there is not matter: not as brute matter, but as formed matter, or form. Thus it is said with reason that art is pure form, or that matter and form, content and form, in art are wholly one (a priori æsthetic synthesis). The a priori synthesis is not less operative in the practical activity than in the æsthetic and logical (that is, in the theoretic activity). It is impossible to will without material to will, or to will outside the given material. The practical man accepts actual conditions, and at the same time transforms them with his volitional act, creating something new, in which those conditions are and are not. They are, because the action achieved is in relation to them; they are not, because being new, it has transformed them. A priori synthesis, in general, then, means spiritual activity; not abstract but concrete spiritual activity, that is to say, the spirit itself, which is condition to itself and conditioned by itself. Thus the a priori synthesis, which is constituted by the coincidence or identity of the judgment of definition with the individual judgment, is not a priori synthesis in general, but logical a priori synthesis.

Non-logical a priori syntheses.

Having clearly established this point we are enabled to eliminate the confusion caused by the citation of certain spiritual formations, which do not correspond with that logical act, as examples of a priori synthetic judgments. Such for instance is the case of the famous example: "5 + 7 = 12," concerning which it was long disputed whether it were an a priori synthetic judgment or simply analytical; the synthetic element being found or not found in it, according to the point of view. The same thing has occurred in the case of other examples of a different nature, as in the judgment: "Snow is white." Here the dispute has been as to whether it be a priori synthetic, or simply synthetic. The truth is, on the contrary, that in neither of these two cases is there logical a priori synthesis, because the judgment "5 + 7= 12" is the expression of abstract or numerical concepts, and "snow is white" is the expression of empirical or classificatory concepts. This amounts to saying that both are products, not of a logical nature, nor of a theoretic nature, but, as we know, of an arbitrary or practical nature. For this reason, we have denied the very possibility of simply analytic or simply synthetic judgments in pure logic. On the other hand, both these kinds of spiritual formations are a priori syntheses, precisely because, being spiritual formations (though of a practical nature), they cannot fail to be produced by a creative (synthetic) act of the spirit. This explains why they sometimes appear as a priori syntheses, sometimes as something altogether different from the a priori synthesis. It suffices to add to the affirmative solution the adjective "practical" and to the negative the adjective "logical" to obtain agreement and truth.

The a priori synthesis, as synthesis, not of opposites but of distincts.

A question of no less importance is whether the logical a priori synthesis (we might say, the a priori synthesis in general) is to be conceived as a synthesis of opposites; if, in other words, intuition and concept, matter and form, exist in the a priori synthesis in the same way as Being and not Being exist in true Being, which is Becoming; or as good and evil, true and false, and so on, exist in the special forms of the Spirit. The affirmative reply to this question finds, as is well known, its chief representative in the doctrine of Hegel. We do not wish to deny the great truth contained in this doctrine, in so far as by considering the a priori synthesis as a synthesis of opposites, it insists upon this essential point: that intuition and concept matter and form, do not exist in the logical act as two separable elements, merely externally connected. Outside the synthesis the subject does not exist as subject, and the predicate does not exist in any way. We must banish altogether the idea of the a priori synthesis, conceived as the reuniting of two facts existing separately. But having recognized the true side of the doctrine, we must correct the inexactness it contains. This arises from the confusion already criticized, by which the relation of opposition is unduly extended to distinct concepts, and the unity of effectual distinction is confused with the dialectic unity, which declares itself synthetic, only in so far as it makes war against an abstract distinction.[1] The a priori synthesis is a unity of distinct concepts and not of opposites. That which is the material of the logical synthesis and which outside it has no logical character (is not subject), yet in another and inferior grade of the spirit is form and not matter, and is called intuition. Hence, there is distinction and unity together; form is not without matter; but the new matter was already form and, therefore, had its own matter. The logical a priori synthesis presupposes an æsthetic a priori synthesis. When considered in the logical sphere, this is certainly no longer a synthesis, but an indispensable element of the new synthesis. But outside the logical sphere, it possesses its own proper and peculiar autonomy. In the logical act intuition is blind without the concept, as the concept is void without the intuition. But pure intuition is not blind, because it has its own proper intuitive light. The concept contains the intuition, but the intuition transfigured. It is a synthesis, not of itself and its opposite, but of itself and its distinct concept which is indistinguishable from itself, save by an act of abstraction. In this way we satisfy the demand expressed in the formula of the synthesis as unity of opposites, and at the same time repress its tendency to usurpation. This tendency leads to the rejection of the concept of æsthetic synthesis, in favour of the concept of logical synthesis; it means the negation of art by philosophy, not only in the philosophical field (which would be just), but in the whole spiritual field. Extending itself from this to other usurpations and led on by the mirage of an ill-understood unity, it claims all the other syntheses for logical synthesis, and produces a great spiritual desert, in which logical thought itself at length dies of starvation.

The category in the judgment. Difference between category and innate idea.

The logical element, the pure concept or judgment of definition considered in itself, is given the name of category in the logical a priori synthesis. This term is nothing but the Greek equivalent for the word "predicate," which we have hitherto employed. It has been asked if the category is what used to be called an inniate idea. The answer must be that it is both that and also something profoundly different. The innate idea was indeed the category, but the category taken as possessed and thought prior to experience, according to the view that we have described as abstract or dogmatic. First the music, then the words; first definitions, then individual judgments or perceptions. The category, on the contrary, is neither the mother nor the first-born. It is born at one birth with the individual judgment, not as its twin, but as that judgment itself. From this aspect the category or the a priori is not the innate, but the perpetually new-born. From this we see the vanity of the question, whether the judgment or the concept be logically prior, not only in the relation, which we have already examined, of concept with verbal form (judgment of definition), but also in the relation of concept with individual judgment. We can say indifferently that to think is to conceive, or that to think is to judge, because the two formulæ are reduced to one. Equally vain is the question as to whether the categories precede the judgment or are obtained from it. They not only do not precede the judgment, but are not even obtained from it. We never issue forth from the judgment, as we never issue forth from reality and history.

The a priori synthesis, the destruction of transcendency, and the objectivity of knowledge.

A final explanation, not less important than those already given, concerns the importance of the logical a priori synthesis. This too has been diminished by the very man who discovered and defined that mental act, and even more by those who have repeated him, without being capable of reviving again the moment of discovery, and of understanding the intimate reasons that brought it about. When the concept was placed outside and prior to the representative element, and thought prior to and outside the world, so that the former was applied to the latter, the world was bound to appear to be something inferior to the concept, a degradation or an impure contact, which thought had to undergo. When, on the other hand, the representative element was placed outside and prior to the concept, the latter seemed to be inferior to it, almost as though it were an expedient for taking hold of the world, without truly being able to do so, and thus in its turn a degradation or defilement of it. Hence the sigh that we hear already in antiquity and more strongly in modern times: oh, if words (that is to say concepts, because concepts were called words) were not, how directly should we apprehend things! Oh, if thought were not, how vigorously should we embrace genuine reality!

In the first instance, reality is inferior to the concept, in the second the concept to reality; but in both alike, the two elements are always thought—as mutually external and truth as undiscoverable. Thus both these one-sided tendencies end in mystery. According to the former, the world is created by a God external to it, and will be disintegrated when it shall seem good to him, while the latter holds that the truth of things is plunged in impenetrable darkness. But granted the idea of the a priori synthesis, reality is not inferior to thought nor thought to reality, nor is the one external to the other. Representations are docile to thought, and thought conceals representations even less than the tenuous and scanty veil concealed the beauty of Alcina. The interpenetration of the two elements is perfect, and they constitute unity. The false belief in the externality and heterogeneity of reality and thought can only arise when for the pure concept and the a priori synthesis there are substitutes, either abstract concepts with their related analytic judgments, which are void of all representative content, or empirical concepts with their related and merely synthetic judgments, which are without logical form. The value of the a priori synthesis lies in its efficacy in putting an end to doubts as to the objectivity of thought and the cognizability of reality, and in making triumphant the power of thought over the real, which is the power of the real to know itself.

Power of the a priori synthesis never known to its discoverer.

But this efficacy of the a priori synthesis remained obscure to its discoverer (and most obscure to his orthodox followers). To such an extent was this the case, that even to Kant the category did not seem to be immanent in the real and to be the thinking of its reality, but an extrinsic, though necessary adjunct, an inevitable alteration introduced into reality to make it thinkable, an anticipatory renunciation of the knowledge of genuine reality. Reality itself lay outside every category and judgment, a thing in itself. Even in Kant, the a priori synthesis was confused with simple analysis and with simple synthesis. These being manipulations of the real, extrinsic and not intrinsic, practical and not logical, useful, but without truth, so the a priori synthesis appeared to him to be an expedient to which man has recourse and cannot but have recourse, but which constitutes, not his power, but his weakness. Kant, too, dreamed of an ideal of knowledge, which was not a priori synthesis, but the intellectual intuition, the perfect adequacy of thought to reality, unattainable by the human spirit. He did not perceive that the intellectual intuition, which he longed for as an impossible ideal, was precisely the continuous operation of the a priori synthesis, nor did he think that what is necessary and insuperable cannot be defective. He never knew that the a priori synthesis, which he had discovered, is alone the true concept and the true judgment, and, therefore, operates in an altogether different way from simple analysis and simple synthesis, which are neither concept nor judgment; nor finally that if these last postulate a thing in itself, the a priori synthesis cannot postulate it, because it has it in itself.

To understand all the richness of the a priori synthesis is to pay honour to the genius of Emmanuel Kant; but it is also to recognize that the systematic construction of Kant showed itself altogether unequal to the great principle he laid down, but whose value he insufficiently estimated.


[1] See above, Sect. I. Chap. VI.


III

LOGIC AND THE DOCTRINE OF THE CATEGORIES
The demand for a complete table of the categories.

When the definition of the a priori synthesis and of the category has been attained, it is usual to demand of logical Science (and this will be demanded also of our exposition) that it should say how many and of what sort are the categories, how they are connected among themselves, i.e. that it should draw up a table of them.

A request extraneous to Logic. Logical and real categories.

Logic, in our opinion, should reject this demand, the origin of which lies in the confusion between thought in general and thought as the science of thought. The categories are certainly affirmed in the individual judgment, but Logic, as the science of thought, does not undertake to formulate judgments which will say what are the predicable terms, the ultimate or pure concepts, the categories, with which reality is thought. Logic cannot claim to substitute itself for the other philosophic sciences and itself to solve all the problems which offer themselves to thought as to the nature of reality. Its scope is to define categories and to formulate judgments only on that aspect of Reality, which is logical thought. It is, therefore, under the obligation to face the question as to whether there be logical categories, supreme concepts or supreme predicables from the point of view of logic, and if there be, to indicate and to deduce them. It is not obliged to indicate and to deduce all the supreme predicables and categories.

The uniqueness of the logical category: the concept.

Now we have already treated of the question as to the categories of Logic and have solved it, partly affirmatively, partly in the negative. That is to say, we have denied to Logic a multiplicity of categories, since the three fundamental categories, usually given as concept, judgment, and syllogism, have been revealed to be identical. The others, derived from formalist Logic and relating to classes of concepts, to forms of judgments and to figures of the syllogism (and even these three preceding, if they are taken as separable or distinguishable), have been shown to be empirical and arbitrary. Finally, those that were based upon the gnoseology of the pseudoconcepts have shown themselves to be extraneous to pure Logic. On the other hand, we have affirmed the category proper to Logic,—the unique category to which it gives rise. It has been defined as the pure concept, at once judgment of definition and individual judgment, the logical a priori synthesis. Thus the enquiry can be looked upon as exhaustive as regards this part of the subject.

The other categories. No longer logical, but real. Systems of categories.

A glance at the tables of categories that have appeared in the course of the history of philosophy, from that of Aristotle, which is the first, at least among the conspicuous, to that of Stuart Mill, or if it be preferred, to the Kategorienlehre of E. von Hartmann, which is the last, or among the last, shows at once that the other categories, which have been described as logical categories, can be reduced to verbal variants of this unique one of the pure concept, or belong to other aspects of the spirit and of reality, as distinct from that of logical thought. For if in the Aristotelian table the ousia and the poion, substance and quality, to some extent denote the subject and the predicate of the judgment, that is to say, the abstract elements of the a priori synthesis: the poson, on the other hand, appeals to the processes of enumeration and of measurement, the pou and the poté to the determination of space and time, the poiein and the paschein to the principles of practical activity, and so on. The Kantian table seems to refer, or to mean to refer, to logical thought; but that does not prevent the appearance in it of traces of the principles of mathematical, naturalistic, heuristic, and other processes. Furthermore, in the Kantian philosophy, the whole system of the categories is to be deduced, not from the transcendental Logic alone, but also from the transcendental Æsthetic (space and time), and from the Critique of Practical Reason and Judgment, which all lead to functions or forms, operating as spiritual syntheses and reappearing as categories in judgments. Finally, we must not neglect the Kantian metaphysical categories of Physics.

The Hegelian system of the categories and other later systems.

All this becomes clearer in the doctrine of Hegel, where the categories are not only those of logical thought or subjective thought, concept, judgment, syllogism; but also those of quality, quantity and measure, essence, phenomenon and reality, with their subforms and transitions, and those of the objective concept, mechanism, chemism, and teleology, and those of the Idea, life, knowing, and the absolute Idea. The Hegelian, Kuno Fischer, makes certain declarations in his Logic to which it is expedient to give heed. Following the example of the master, he was induced to include knowing and willing among the categories; "It may at first sight seem strange (he says), that knowing and willing should appear here as logico-metaphysical concepts, as categories. Knowledge has need of categories; but is knowledge itself a category? Willing belongs to Psychology and Morality, not to Logic and Metaphysic. It seems, then, that the categories lose themselves now in Physics or Physiology, by means of concepts such as those of mechanism and organism, now in Psychology and Ethics, with the concepts of knowing and of willing. Objections of this sort have often been made. We have shown that the concept must be thought as object, and that the concept of object demands that of mechanism: the justification of the thing resides in this proof. Willing and knowing are indeed categories. If the test, by which we recognize the categories, consists in that they are valid, not only for certain objects, but for all, and in that they should express the universal nature of things, it is not difficult to see in what a profoundly significant way knowing and willing emerge triumphantly from such a test. They belong not only to what are called the faculties of the human spirit, but in truth to the very conditions of the world. If the world must be understood as end it must also be understood as willing; for the end without the willing is nothing. ... If knowing and willing were only a small human province of the world, they would certainly not be categories. Their concept would belong not to metaphysic, but to the anthropological sciences. Since they are, on the contrary, both of them cosmic principles, universal concepts, without which the concept of objects and of the world cannot be thoroughly thought and known, for that reason they necessarily have the value of categories. And since, in truth, they compose the concept of the world, they are the supreme categories."[1] This argument amounts to saying, that whenever a concept is truly universal (not restricted to this or that class of manifestations of reality and therefore empirical), whenever a concept is a pure concept, it is always a category. This thesis is most exact, but it amounts to excluding such a search from pure Logic, which does not give the concepts or concept of reality, but only the concept of the concept. The attempt of Hegel to embrace the totality of the categories was not understood and was abandoned at a later date, and a return was made in some sort to the categories of the theoretic and practical—theoretic spirit alone—(von Hartmann gives them in his fundamental tripartition of the categories into sensibility, reflective thought and speculative thought). But the tendency to totality reappeared, in an elementary form, in Stuart Mill, who opposed to the Aristotelian table his own, divided into the three classes of sentiments (sensations, thoughts, emotions, volitions), of substances (bodies and spirits), and of attributes (quality, relation, quantity): a vertiginous regression to an infantile conception, which yet sought to embrace in its own way the whole of reality.

The logical order of the predicates or categories.

The doctrine of the categories has been introduced and retained in Logic, not only because of the confusion between the thought of thought and thought in general, which has just been explained, but also because of another confusion, which must now be explained, as it has far deeper roots and far greater importance. It has been and may be argued in this way. It is true that the categories are nothing but simply the concepts of reality; but these concepts, acting as predicates, are presented in logic in a necessary order, which it is the task of logical Science to deduce. In determining reality by means of thought, we begin with a first predicate, for instance being, judging that reality is. This judgment immediately shows itself insufficient, whence it becomes necessary to determine it with a second predicate and to judge that reality both is and is not, or is becoming. This predicate of becoming appears in its turn vague and abstract, and it becomes necessary to determine reality as quality, then as quantity, measure, essence, existence, mechanism, teleology, life, reflexion, will, idea, in short with all the predicates that exhaust the concept of reality.

Illusion as to the logical reality of this order.

But we know that this order, this supposed succession, is illusory and is simply the product of abstract analysis. In the predicate to which verbal prominence is given, there is concentrated or understood every predicate, because in every judgment complete reality[2] is predicated of the subject. Moreover this is shown just by the observation, which reveals the insufficiency of an isolated and abstract predicate, and requires for sufficiency nothing less than the totality of the predicates, the full concept of the Real, of the Spirit or of the Idea. The concept of Reality, of Spirit or the Idea, can without doubt be developed, in its unity and in its distinctions; but (let us yet again repeat) logical Science has for its object, not the effective unity and distinction of the Real, but the concept of unity and distinction..

The necessity of the order of the predicates, not founded in Logic in particular, but in the whole of Philosophy.

The ordering of the variety of the predicates, their gradation according to their greater or less adequacy to reality, arises from the fact that disputes as to reality show themselves as one-sided affirmations of this or that predicate or group of predicates, coupled with the neglect or negation of others, which are not less indispensable. When, therefore, we attack such one-sidedness and affirm the complete indivisibility of the predicates, the single predicates, the objects of the one-sided affirmations, are scrutinized one after the other, in order to demonstrate their insufficiency, and for this very reason a certain order is given to them. This order is, without doubt, necessary, because the possibility of errors, or of one-sided thoughts, is a consequence of the distinctions, in which the unity of the Real lives, and which are necessary to it. But for this very reason the order must be sought, not in logical Science, but in the total conception of Reality. For instance, in researches concerning the ethical concept, only he who thinks, not the concept of the concept (logical science), but the concept of ethical activity (ethical science), will be able to determine what one-sided concepts are there possible and what is their order. Only he who thinks a whole philosophy will be able to determine how many and what and how connected are the one-sided and erroneous modes of philosophy. This cannot be found in the concept of the concept; or rather only those erroneous modes are there found which derive from a one-sided thinking of the concept of the concept. This we shall see in its place. The order of the categories in the sense indicated is certainly not subjective and arbitrary, as a didactic ordering of them would be, a πρότερον prὸs ἡμᾶς; it is a πρότερον φύσει. But since this first by nature is identical with the whole concept of Reality, it is not wholly contained in the concept of Logic.

False distinction of philosophy into two spheres, Metaphysic and Philosophy, rational philosophy and real philosophy, etc., due to the confusion between Logic and doctrine of the categories.

If the confusion between Logic and the Doctrine of the Categories, or between the thinking of the logical category and the thinking of the other categories, had produced no other effect than that of introducing into books of Logic a method of treatment that exceeds their bounds, the evil would not be great. It would chiefly affect literary harmony and clarity of didactic exposition. But from that confusion there has sometimes as rational Philosophy and real Philosophy, sometimes as Gnoseology and Anthropology (or Cosmology), sometimes as Logic and System of Philosophy, and so on. The conception of Reality is thus twice described: once as part of Logic (the Doctrine of the Categories, Ontology, etc.); and again as effective or applied Philosophy. Philosophy is divided into a Prologue to Philosophy and Philosophy, or into Philosophy and a Conclusion to Philosophy. But Philosophy, although it is distinguishable into philosophies (for example, Æsthetic, Logic, Economic and Ethic), is this distinction itself, or the unity immanent in it. It never gives rise to a duality of grades. It is never prologue, development and conclusion, being, at its every point, prologue, development and conclusion. As from empirical and formalist Logic arose the idea of a Logic which should not be philosophy, but an organ or instrument or rule or law for the rest of philosophy; so from the confusion of Logic with the Doctrine of the Categories has arisen the idea of a Logic, or Metaphysic, or general Philosophy, or whatever else it may be called, which should be opposed to or above the rest of philosophy. But the Science of thought, Logic, is at once thought and effective philosophy; it is thought itself which in thinking the Real, thinks itself and places itself, as logical Science, in the place which belongs to it in the system of the Real.

Philosophy and pure logic: overcoming of the duality.

It may seem that in this way thought and reality are again divided and a metaphysical dualism created. But the exact opposite is the truth. When Philosophy is distinguished into general and particular, into rational and real, into pure and applied, into Logic-metaphysic and into Philosophy of nature and of man, an irreparable breach is made, which can only be concealed or attenuated in a more or less ingenious manner. But when that doubleness of degree is destroyed (and thought thinking the real thereby thinks itself), and in the construction of Philosophy, the Philosophy of philosophy, namely Logic, is constructed, the dualism is for ever overcome. This thought is the thinking of the distinctions, which the real presents; but to think distinctions and to think unity is, as has been already demonstrated, the same thing.


[1] Logik, pp. 532-3.

[2] See above Sect. II. Chap. V.


SECOND PART

PHILOSOPHY, HISTORY AND THE NATURAL AND MATHEMATICAL SCIENCES


I

THE FORMS OF KNOWLEDGE AND THE DIVISIONS OF KNOWLEDGE