General Notion of Logic

§ 33

The science of logic begins with the subject matter itself, without preliminary reflections.

In other sciences:

• the subject matter and the scientific method are distinguished from each other.
• the content does not make an absolute beginning but is dependent on other concepts and is connected on all sides with other material.

These other sciences can speak of:

• their ground
• its context
• their method

But these are only premises taken for granted. These form definitions that:

• are familiar and accepted
• can be applied straight-way
• are employed with the usual kind of reasoning to establish their general concepts and fundamental determinations.

§ 34

Logic on the contrary, cannot presuppose any of these:

• forms of reflection
• laws of thinking.

This is because these:

• constitute part of its own content
• have first to be established within the science.

But not only the account of scientific method, but even the Notion itself of the science as such belongs to its content, and in fact constitutes its final result;

What logic is cannot be stated beforehand.

The knowledge of logic does not even arise at the final outcome and consummation of the whole exposition.

The subject matter of the science of logic considers comprehensive thinking.

Because logic has its genesis in the course of exposition, it cannot be premised.

Consequently, the premise of this Introduction is to use some historical explanations and reflections about ordinary thinking.

§ 35

We consider logic as the science of thinking in general.

This thinking constitutes the mere form of a cognition that logic abstracts from all content. This creates matter which comes from somwhere else.

This matter is absolutely independent of logic.

This indpendence of matter can provide only the formal conditions of genuine cognition and cannot in its own self contain any real truth, not even be the pathway to real truth because just that which is essential in truth, its content, lies outside logic.®

§ 36

But in the first place, it is quite inept to say that logic abstracts from all content, that it teaches only the rules of thinking without any reference to what is thought or without being able to consider its nature. For as thinking and the rules of thinking are supposed to be the subject matter of logic, these directly constitute its peculiar content; in them, logic has that second constituent, a matter, about the nature of which it is concerned.

§ 37

But secondly, the conceptions on which the Notion of logic has rested hitherto have in part already been discarded, and for the rest, it is time that they disappeared entirely and that this science were grasped from a higher standpoint and received a completely changed shape.

§ 38

Hitherto, the Notion of logic has rested on the separation, presupposed once and for all in the ordinary consciousness, of the content of cognition and its form, or of truth and certainty. First, it is assumed that the material of knowing is present on its own account as a ready-made world apart from thought, that thinking on its own is empty and comes as an external form to the said material, fills itself with it and only thus acquires a content and so becomes real knowing.

§ 39

Further, these two constituents — for they are supposed to be related to each other as constituents, and cognition is compounded from them in a mechanical or at best chemical fashion — are appraised as follows: the object is regarded as something complete and finished on its own account, something which can entirely dispense with thought for its actuality, while thought on the other hand is regarded as defective because it has to complete itself with a material and moreover, as a pliable indeterminate form, has to adapt itself to its material. Truth is the agreement of thought with the object, and in order to bring about this agreement — for it does not exist on its own account — thinking is supposed to adapt and accommodate itself to the object.

§ 40

Thirdly, when the difference of matter and form, of object and thought is not left in that nebulous indeterminateness but is taken more definitely, then each is regarded as a sphere divorced from the other. Thinking therefore in its reception and formation of material does not go outside itself; its reception of the material and the conforming of itself to it remains a modification of its own self, it does not result in thought becoming the other of itself; and self-conscious determining moreover belongs only to thinking. In its relation to the object, therefore, thinking does not go out of itself to the object; this, as a thing-in-itself, remains a sheer beyond of thought.

§ 41

These views on the relation of subject and object to each other express the determinations which constitute the nature of our ordinary, phenomenal consciousness; but when these prejudices are carried out into the sphere of reason as if the same relation obtained there, as if this relation were something true in its own self, then they are errors — the refutation of which throughout every part of the spiritual and natural universe is philosophy, or rather, as they bar the entrance to philosophy, must be discarded at its portals.

§ 42

Ancient metaphysics had in this respect a higher conception of thinking than is current today. For it based itself on the fact that the knowledge of things obtained through thinking is alone what is really true in them, that is, things not in their immediacy but as first raised into the form of thought, as things thought. Thus this metaphysics believed that thinking (and its determinations) is not anything alien to the object, but rather is its essential nature, or that things and the thinking of them — our language too expresses their kinship — are explicitly in full agreement, thinking in its immanent determinations and the true nature of things forming one and the same content.

§ 43

But reflective understanding took possession of philosophy. We must know exactly what is meant by this expression which moreover is often used as a slogan; in general it stands for the understanding as abstracting, and hence as separating and remaining fixed in its separations. Directed against reason, it behaves as ordinary common sense and imposes its view that truth rests on sensuous reality, that thoughts are only thoughts, meaning that it is sense perception which first gives them filling and reality and that reason left to its own resources engenders only figments of the brain. In this self-renunciation on the part of reason, the Notion of truth is lost; it is limited to knowing only subjective truth, only phenomena, appearances, only something to which the nature of the object itself does not correspond: knowing has lapsed into opinion.

§ 44

However, this turn taken by cognition, which appears as a loss and a retrograde step, is based on something more profound on which rests the elevation of reason into the loftier spirit of modern philosophy. The basis of that universally held conception is, namely, to be sought in the insight into the necessary conflict of the determinations of the understanding with themselves. The reflection already referred to is this, to transcend the concrete immediate object and to determine it and separate it. But equally it must transcend these its separating determinations and straightway connect them. It is at the stage of this connecting of the determinations that their conflict emerges. This connecting activity of reflection belongs in itself to reason and the rising above those determinations which attains to an insight into their conflict is the great negative step towards the true Notion of reason. But the insight, when not thorough-going, commits the mistake of thinking that it is reason which is in contradiction with itself; it does not recognise that the contradiction is precisely the rising of reason above the limitations of the understanding and the resolving of them, Cognition, instead of taking from this stage the final step into the heights, has fled from the unsatisfactoriness of the categories of the understanding to sensuous existence, imagining that in this it possesses what is solid and self-consistent. But on the other hand, since this knowledge is self-confessedly knowledge only of appearances, the unsatisfactoriness of the latter is admitted, but at the same time presupposed: as much as to say that admittedly, we have no proper knowledge of things-in-themselves but we do have a proper knowledge of them within the sphere of appearances, as if, so to speak, only the kind of objects were different, and one kind, namely things-in-themselves, did not fall within the scope of our knowledge but the other kind, phenomena, did. This is like attributing to someone a correct perception, with the rider that nevertheless he is incapable of perceiving what is true but only what is false. Absurd as this would be, it would not be more so than a true knowledge which did not know the object as it is in itself.

§ 45

The criticism of the forms of the understanding has had the result already mentioned, that these forms do not apply to things-in-themselves. This can have no other meaning than that these forms are in themselves something untrue. But then if they are allowed to remain valid for subjective reason and experience, the criticism has not produced any alteration in them: they are left in the same shape for the subject knower as they formerly possessed for the object. If, however, they are inadequate for the thing-in-itself, still less must the understanding to which they are supposed to belong put up with them and rest content with them. If they cannot be determinations of the thing-in-itself, still less can they be determinations of the understanding to which one ought at least to concede the dignity of a thing-in-itself. The determinations of finite and infinite conflict in the same way, whether they are applied to time and space, to the world, or are determinations within the mind — just as black and white produce grey whether they are mixed on a canvas or on the palette. If our conception of the world is dissolved by the transference to it of the determinations of infinite and finite, still more is spirit itself, which contains both of them, inwardly self-contradictory and self-dissolving: it is not the nature of the material or the object to which they are applied or in which they occur that can make a difference for it is only through those determinations and in accordance with them that the object contains the contradiction.

§ 46

The forms of objective thinking, therefore, have been removed by this criticism only from the thing; but they have been left in the subject just as they were originally. That is to say, this criticism did not consider these forms on their own merits and according to their own peculiar content, but simply took them as accepted starting points from subjective logic: so that there was no question of an immanent deduction of them as forms of subjective logic, still less of a dialectical consideration of them.

§ 47

Transcendental idealism in its more consistent development, recognised the nothingness of the spectral thing-in-itself left over by the Kantian philosophy, this abstract shadow divorced from all content, and intended to destroy it completely. This philosophy also made a start at letting reason itself exhibit its own determinations. But this attempt, because it proceeded from a subjective standpoint, could not be brought to a successful conclusion. ® Later this standpoint, and with it too the attempt to develop the content of pure science, was abandoned.

§ 48

But what is commonly understood by logic is considered without any reference whatever to metaphysical significance. This science in its present state has, it must be admitted, no content of a kind which the ordinary consciousness would regard as a reality and as a genuine subject matter. But it is not for this reason a formal science lacking significant truth. Moreover, the region of truth is not to be sought in that matter which is missing in logic, a deficiency to which the unsatisfactoriness of the science is usually attributed. The truth is rather that the insubstantial nature of logical forms originates solely in the way in which they are considered and dealt with. When they are taken as fixed determinations and consequently in their separation from each other and not as held together in an organic unity, then they are dead forms and the spirit which is their living, concrete unity does not dwell in them. As thus taken, they lack a substantial content — a matter which would be substantial in itself. The content which is missing in the logical forms is nothing else than a solid foundation and a concretion of these abstract determinations; and such a substantial being for them is usually sought outside them.

But logical reason itself is the substantial or real being which holds together within itself every abstract determination and is their substantial, absolutely concrete unity. One need not therefore look far for what is commonly called a matter; if logic is supposed to lack a substantial content, then the fault does not lie with its subject matter but solely with the way in which this subject matter is grasped.

§ 49

This reflection leads up to the statement of the point of view from which logic is to be considered, how it differs from previous modes of treatment of this science which in future must always be based on this, the only true standpoint.

§ 50

In the Phenomenology of Mind, I have exhibited consciousness in its movement onwards from the first immediate opposition of itself and the object to absolute knowing. The path of this movement goes through every form of the relation of consciousness to the object and has the Notion of science for its result.

This Notion therefore (apart from the fact that it emerges within logic itself) needs no justification here because it has received it in that work; and it cannot be justified in any other way than by this emergence in consciousness, all the forms of which are resolved into this Notion as into their truth. To establish or explain the Notion of science ratiocinatively can at most achieve this, that a general idea of the Notion is presented to our thinking and a historical knowledge of it is produced; but a definition of science — or more precisely of logic — has its proof solely in the already mentioned necessity of its emergence in consciousness. The definition with which any science makes an absolute beginning. cannot contain anything other than the precise and correct expression of what is imagined to be the accepted and familiar subject matter and aim of the science. That precisely this is what is imagined is an historical asseveration in respect of which one can only appeal to such and such as recognised facts; or rather the plea can be advanced that such and such could be accepted as recognised facts. There will always be someone who will adduce a case, an instance, according to which something more and different is to be understood by certain terms the definition of which must therefore be made more precise or more general and the science too, must be accommodated thereto. This again involves argumentation about what should be admitted or excluded and within what limits and to what extent; but argumentation is open to the most manifold and various opinions, on which a decision can finally be determined only arbitrarily. In this method of beginning a science with its definition, no mention is made of the need to demonstrate the necessity of its subject matter and therefore of the science itself.

§ 51

The Notion of pure science and its deduction is therefore presupposed in the present work in so far as the Phenomenology of Spirit is nothing other than the deduction of it. Absolute knowing is the truth of every mode of consciousness because, as the course of the Phenomenology showed, it is only in absolute knowing that separation of the object from the certainty of itself is completely eliminated: truth is now equated with certainty and this certainty with truth.

§ 52

Thus pure science presupposes liberation from the opposition of consciousness. It contains thought in so far as this is just as much the object in its own self, or the object in its own self in so far as it is equally pure thought. As science, truth is pure self-consciousness in its self-development and has the shape of the self, so that the absolute truth of being is the known Notion and the Notion as such is the absolute truth of being.

§ 53

This objective thinking, then, is the content of pure science.

Consequently, far from it being formal, far from it standing in need of a matter to constitute an actual and true cognition, it is its content alone which has absolute truth, or, if one still wanted to employ the word matter, it is the veritable matter — but a matter which is not external to the form, since this matter is rather pure thought and hence the absolute form itself.

Accordingly, logic is the system of pure reason, the realm of pure thought.

This content is the exposition of God as he is in his eternal essence before the creation of nature and a finite mind.*

§ 54

Anaxagoras first declared that:

• Nous, thought, is the principle of the world
• the essence of the world is thought.

In so doing he laid the foundation for an intellectual view of the universe, the pure form of which must be logic.

What we are dealing with in logic is not a thinking about something which exists independently as a base for our thinking and apart from it, nor forms which are supposed to provide mere signs or distinguishing marks of truth; on the contrary, the necessary forms and self-determinations of thought are the content and the ultimate truth itself.

§ 55

To get some idea of this one must discard the prejudice that truth must be something tangible.

Such tangibility is, for example, imported even into the Platonic Ideas which are in God’s thinking, as if they are, as it were, existing things but in another world or region; while the world of actuality exists outside that region and has a substantial existence distinct from those Ideas and only through this distinction is a substantial reality.

The Platonic Idea is the universal, or more definitely the Notion of an object.

Only in its Notion does something possess actuality and to the extent that it is distinct from its Notion it ceases to be actual and is a non-entity; the side of tangibility and sensuous self-externality belongs to this null aspect.

But on the other side, one can appeal to the conceptions of ordinary logic itself; for it is assumed, for example, that the determinations contained in definitions do not belong only to the knower, but are determinations of the object, constituting its innermost essence and its very own nature.

Or, if from given determinations others are inferred, it is assumed that what is inferred is not something external and alien to the object, but rather that it belongs to the object itself, that to the thought there is a correspondent being.

§ 56

It is implied generally in the use of forms of the Notion, of judgment, syllogism, definition, division, etc., that they are not merely forms of self-conscious thinking but also of the objective understanding.

Thought is an expression which attributes the determination contained therein primarily to consciousness. But inasmuch as it is said that understanding, reason, is in the objective world, that mind and nature have universal laws to which their life and changes conform, then it is conceded that the determinations of thought equally have objective value and existence.

§ 57

The critical philosophy had, it is true, already turned metaphysics into logic but it, like the later idealism, as previously remarked, was overawed by the object, and so the logical determinations were given an essentially subjective significance with the result that these philosophies remained burdened with the object they had avoided and were left with the residue of a thing-in-itself, an infinite obstacle, as a beyond. But the liberation from the opposition of consciousness which the science of logic must be able to presuppose lifts the determinations of thought above this timid, incomplete standpoint and demands that they be considered not with any such limitation and reference but as they are in their own proper character, as logic, as pure reason.

§ 58

Kant moreover considers logic, that is, the aggregate of definitions and propositions which ordinarily passes for logic, to be fortunate in having attained so early to completion before the other sciences; since Aristotle, it has not lost any ground, but neither has it gained any, the latter because to all appearances it seems to be finished and complete. Now if logic has not undergone any change since Aristotle — and in fact, judging by modern compendiums of logic the changes frequently consist mainly in omissions — then surely the conclusion which should be drawn is that it is all the more in need of a total reconstruction; for spirit, after its labours over two thousand years, must have attained to a higher consciousness about its thinking and about its own pure, essential nature.

A comparison of the forms to which spirit has raised itself in the practical and religious sphere and in every branch of science both physical and mental, with the form presented by logic which is spirit’s consciousness of its own pure essence, reveals so vast a difference that the utter inadequacy and unworthiness of the latter consciousness in comparison with the higher consciousness displayed in those other spheres cannot fail to strike the most superficial observer.

§ 59

In point of fact the need for a reconstruction of logic has long since been felt. In form and in content, logic, as exhibited in the text-books, may be said to have fallen into contempt. It is still dragged in, but more from a feeling that one cannot dispense with logic altogether and because the tradition of its importance still survives, rather than from a conviction that such commonplace content and occupation with such empty forms is valuable and useful.

§ 60

The additions of psychological, pedagogic and even physiological material which logic received in the past have subsequently been recognised almost universally as disfigurements. A great part of these psychological, pedagogic and physiological observations, laws and rules, whether they occur in logic or anywhere else, must appear very shallow and trivial in themselves; and without exception all those rules such as, for example, that one must think out and test what one reads in books or hears by word of mouth, that when one’s sight is not good one should help one’s eyes by wearing spectacles — rules which in textbooks of so-called applied logic were solemnly set out in paragraphs and put forward as aids to the attainment of truth — these must strike everyone as superfluous — except only the writer or teacher who finds difficulty in expanding by some means or other the otherwise scanty and life-less content of logic.'