In considering determinate being the emphasis falls on its determinate character; the determinateness is in the form of being, and as such it is quality. Through its quality, something is determined as opposed to an other, as alterable and finite; and as negatively determined not only against an other but also in its own self. This its negation as at first opposed to the finite something is the infinite; the abstract opposition in which these determinations appear resolves itself into the infinity which is free from the opposition, into being-for-self.
The treatment of determinate being falls therefore into three parts:
A. Determinate being as such
B. Something and other, finitude
C. Qualitative infinity.
In determinate being (a) as such, its determinateness is first of all (b) to be distinguished as quality. This, however, is to be taken as well in the one determination of determinate being as in the other — as reality and negation. But in these determinatenesses determinate being is equally reflected into itself; and posited as such it is (c) something, a determinate being.
From becoming there issues determinate being, which is the simple oneness of being and nothing. Because of this oneness it has the form of immediacy. Its mediation, becoming, lies behind it; it has sublated itself and determinate being appears, therefore, as a first, as a starting-point for the ensuing development. It is first of all in the one-sided determination of being; the other determination, nothing, will likewise display itself and in contrast to it.
It is not mere being, but determinate being [Dasein], etymologically taken, being in a certain place; but the idea of space is irrelevant here. Determinate being as the result of its becoming is, in general, being with a non-being such that this non-being is taken up into simple unity with being. Non-being thus taken up into being in such a way that the concrete whole is in the form of being, of immediacy, constitutes determinateness as such.
The whole is likewise in the form, that is, in the determinateness of being, for being has likewise shown itself in becoming to be only a moment — a sublated, negatively determined being; but it is such for us in our reflection, it is not yet posited as such in its own self. But the determinateness as such of determinate being is the determinateness which is posited, and this is implied in the expression Dasein [there-being or being which is there]. The two are always to be clearly distinguished from each other; only that which is posited in a Notion belongs in the dialectical development of that Notion to its content; whereas the determinateness that is not yet posited in the Notion itself belongs to our reflection, whether it concerns the nature of the Notion itself or is an external comparison. To draw attention to a determinateness of the latter kind can only serve to elucidate or indicate in advance the course which will be exhibited in the development itself. That the whole, the unity of being and nothing, is in the one-sided determinateness of being is an external reflection; but in the negation, in something and other and so on, it will come to be posited. It was necessary here to draw attention to the distinction referred to; but to take account of all the Remarks which may be prompted by reflection would lead to the prolixity of anticipating what must yield itself in the subject matter. Such reflections may facilitate a general view and thereby an understanding of the development, but they also have the disadvantage of appearing as unjustified assertions, grounds and foundations for what is to follow. They should therefore not be taken for more than they are supposed to be and should be distinguished from what is a moment in the development of the subject matter itself.
Determinate being corresponds to being in the previous sphere, but being is indeterminate and therefore no determinations issue from it. Determinate being, however, is concrete; consequently a number of determinations, distinct relations of its moments, make their appearance in it.
Because of the immediacy of the oneness of being and nothing in determinate being, they do not extend beyond each other; so far as determinate being is in the form of being, so far is it non-being, so far is it determinate. Being is not the universal, determinateness not the particular. Determinateness has not yet severed itself from being; and indeed it will no more sever itself from being, for the truth which from now on underlies them as ground is the unity of non-being with being; on this as ground all further determinations are developed. But the relation in which determinateness here stands to being is the immediate unity of both, so that as yet no differentiation of this unity is posited.
Determinateness thus isolated by itself in the form of being is quality — which is wholly simple and immediate. Determinateness as such is the more universal term which can equally be further determined as quantity and so on. Because of this simple character of quality as such, there is nothing further to be said about it.
Determinate being, however, in which nothing no less than being is contained, is itself the criterion for the one-sidedness of quality as a determinateness which is only immediate or only in the form of being. It is equally to be posited in the determination of nothing, when it will be posited as a differentiated, reflected determinateness, no longer as immediate or in the form of being. Nothing, as thus the determinate element of a determinateness, is equally something reflected, a negation.
Quality, taken in the distinct character of being, is reality; as burdened with a negative it is negation in general, likewise a quality but one which counts as a deficiency, and which further on is determined as limit, limitation.
Both are determinate being, but in reality as quality with the accent on being, the fact is concealed that it contains determinateness and therefore also negation. Consequently, reality is given the value only of something positive from which negation, limitation and deficiency are excluded. Negation taken as mere deficiency would be equivalent to nothing; but it is a determinate being, a quality, only determined with a non-being.
Reality may seem to be a word of various meanings because it is used of different, indeed of opposed determinations. In philosophy one may perhaps speak of a merely empirical reality as of a worthless existence. But when it is said that thoughts, concepts, theories have no reality, this means that they do not possess actuality; in itself or in its notion, the idea of a Platonic Republic, for example, may well be true. Here the worth of the idea is not denied and it is left its place alongside the reality. But as against mere ideas, mere notions, the real alone counts as true. The sense in which, on the one hand, outer existence is made the criterion of the truth of a content is no less one-sided than when the idea, essential being, or even inner feeling is represented as indifferent to outer existence and is even held to be the more excellent the more remote it is from reality.
In connection with the term 'reality', mention must be made of the former metaphysical concept of God which, in particular, formed the basis of the so-called ontological proof of the existence of God. God was defined as the sum-total of all realities, and of this sum-total it was said that no contradiction was contained in it, that none of the realities cancelled any other; for a reality is to be taken only as a perfection, as an affirmative being which contains no negation. Hence the realities are not opposed to one another and do not contradict one another.
Reality as thus conceived is assumed to survive when all negation has been thought away; but to do this is to do away with all determinateness. Reality is quality, determinate being; consequently, it contains the moment of the negative and is through this alone the determinate being that it is. Reality, taken as we are supposed to take it, in the so-called eminent sense or as infinite - in the usual meaning of the word - is expanded into indeterminateness and loses its meaning. God's goodness is not to be goodness in the ordinary, but in the eminent sense; not different from justice but tempered by it (a mediatory expression used by Leibniz), just as, conversely, justice is tempered by goodness; and so goodness is no longer goodness, nor justice any more justice. Power is supposed to be tempered by wisdom, but in that case it is not power as such for it would be subject to wisdom; wisdom is supposed to be expanded into power, in which case it vanishes as the wisdom which determines the end and measure of things. The true Notion of the infinite and its absolute unity which will present itself later, is not to be understood as a tempering, a reciprocal restricting or a mixing; such a superficial conception of the relationship leaves it indefinite and nebulous and can satisfy only a Notion-less way of thinking. When reality, taken as a determinate quality as it is in the said definition of God, is extended beyond its determinateness it ceases to be reality and becomes abstract being; God as the pure reality in all realities, or as the sum total of all realities, is just as devoid of determinateness and content as the empty absolute in which all is one.
If, on the other hand, reality is taken in its determinateness, then, since it essentially contains the moment of the negative, the sum-total of all realities becomes just as much a sum-total of all negations, the sum-total of all contradictions; it becomes then straightway the absolute power in which everything determinate is absorbed; but reality itself is, only in so far as it is still confronted by a being which it has not sublated; consequently, when it is thought as expanded into realised, limitless power, it becomes the abstract nothing. The said reality in all realities, the being in all determinate being, which is supposed to express the concept of God, is nothing else than abstract being, which is the same as nothing.
Determinateness is negation posited as affirmative and is the proposition of Spinoza: omnis determinatio est negatio. This proposition is infinitely important; only, negation as such is formless abstraction, However, speculative philosophy must not be charged with making negation or nothing an ultimate: negation is as little an ultimate for philosophy as reality is for it truth.
Of this proposition that determinateness is negation, the unity of Spinoza's substance — or that there is only one substance — is the necessary consequence. Thought and being or extension, the two attributes, namely, which Spinoza had before him, he had of necessity to posit as one in this unity; for as determinate realities they are negations whose infinity is their unity. According to Spinoza's definition, of which more subsequently, the infinity of anything is its affirmation. He grasped them therefore as attributes, that is, as not having a separate existence, a self-subsistent being of their own, but only as sublated, as moments; or rather, since substance in its own self lacks any determination whatever, they are for him not even moments, and the attributes like the modes are distinctions made by an external intellect. Similarly, the substantiality of individuals cannot persist in the face of that proposition. The individual is a relation-to-self through its setting limits to everything else; but these limits are thereby also limits of itself, relations to an other, it does not possess its determinate being within itself. True, the individual is more than merely an entity bounded on all sides, but this more belongs to another sphere of the Notion; in the metaphysics of being, the individual is simply a determinate something, and in opposition to the independence and self-subsistence of such something, to the finite as such, determinateness effectively brings into play its essentially negative character, dragging what is finite into that same negative movement of the understanding which makes everything vanish in the abstract unity of substance.
Negation stands directly opposed to reality: further on, in the special sphere of reflected determinations, it becomes opposed to the positive, which is reality reflecting the negation — the reality in which the negative has an illusory being [scheint], the negative which in reality as such is still hidden.
Quality is especially a property only where, in an external relation, it manifests itself as an immanent determination. By properties of herbs, for instance, we understand determinations which not only are proper to something, but are the means whereby this something in its relations with other somethings maintains itself in its own peculiar way, counteracting the alien influences posited in it and making its own determinations effective in the other — although it does not keep this at a distance. The more stable determinatenesses, on the other hand, such as figure, shape, are not called properties, nor even qualities perhaps, because they are conceived as alterable, as not identical with the being [of the object].
'Qualierung' or 'Inqualierung', an expression of Jacob Boehme's, whose philosophy goes deep, but into a turbid depth, signifies the movement of a quality (of sourness, bitterness, fieriness, etc.) within itself in so far as it posits and establishes itself in its negative nature (in its 'Qual' or torment) from out of an other — signifies in general the quality's own internal unrest by which it produces and maintains itself only in conflict.
In determinate being its determinateness has been distinguished as quality; in quality as determinately present, there is distinction — of reality and negation. Now although these distinctions are present in determinate being, they are no less equally void and sublated. Reality itself contains negation, is determinate being, not indeterminate, abstract being. Similarly, negation is determinate being, not the supposedly abstract nothing but posited here as it is in itself, as affirmatively present [als seiend], belonging to the sphere of determinate being. Thus quality is completely unseparated from determinate being, which is simply determinate, qualitative being.
This sublating of the distinction is more than a mere taking back and external omission of it again, or than a simple return to the simple beginning, to determinate being as such. The distinction cannot be omitted, for it is. What is, therefore, in fact present is determinate being in general, distinction in it, and sublation of this distinction; determinate being, not as devoid of distinction as at first, but as again equal to itself through sublation of the distinction, the simple oneness of determinate being resulting from this sublation. This sublatedness of the distinction is determinate being's own determinateness; it is thus being-within-self: determinate being is a determinate being, a something.
Something is the first negation of negation, as simple self-relation in the form of being. Determinate being, life, thought, and so on, essentially determine themselves to become a determinate being, a living creature, a thinker (ego) and so on. This determination is of supreme importance if we are not to remain at the stage of determinate being, life, thought, and so on — also the Godhead (instead of God) — as generalities. In our ordinary way of thinking, something is rightly credited with reality. However, something is still a very superficial determination; just as reality and negation, determinate being and its determinateness, although no longer blank being and nothing, are still quite abstract determinations. It is for this reason that they are the most current expressions and the intellect which is philosophically untrained uses them most, casts its distinctions in their mould and fancies that in them it has something really well and truly determined. The negative of the negative is, as something, only the beginning of the subject [Subjekt] — being-within-self, only as yet quite indeterminate. It determines itself further on, first, as a being-for-self and so on, until in the Notion it first attains the concrete intensity of the subject. At the base of all these determinations lies the negative unity with itself. But in all this, care must be taken to distinguish between the first negation as negation in general, and the second negation, the negation of the negation: the latter is concrete, absolute negativity, just as the former on the contrary is only abstract negativity.
Something is the negation of the negation in the form of being; for this second negation is the restoring of the simple relation to self; but with this, something is equally the mediation of itself with itself. Even in the simple form of something, then still more specifically in being-for-self, subject, and so on, self-mediation is present; it is present even in becoming, only the mediation is quite abstract. In something, mediation with self is posited, in so far as something is determined as a simple identity. Attention can be drawn to the presence of mediation in general, as against the principle of the alleged mere immediacy of knowledge, from which mediation is supposed to be excluded; but there is no further need to draw particular attention to the moment of mediation, for it is to be found everywhere, in every Notion.
This mediation with itself which something is in itself, taken only as negation of the negation, has no concrete determinations for its sides; it thus collapses into the simple oneness which is being. Something is, and is, then, also a determinate being; further, it is in itself also becoming, which, however, no longer has only being and nothing for its moments. One of these, being, is now determinate being, and, further, a determinate being. The second is equally a determinate being, but determined as a negative of the something — an other. Something as a becoming is a transition, the moments of which are themselves somethings, so that the transition is alteration — a becoming which has already become concrete. But to begin with, something alters only in its Notion; it is not yet posited as mediating and mediated, but at first only as simply maintaining itself in its self-relation, and its negative is posited as equally qualitative, as only an other in general.
(a) Something and other are at first indifferent to one another; an other is also immediately a determinate being, a something; the negation thus falls outside both. Something is in itself as against its being-for-other. But the determinateness also belongs to its in-itself and is
(b) its determination; this equally passes over into constitution which, being identical with the determination, constitutes the immanent and at the same time negated being-for-other, the limit of the something. This limit is
(c) the immanent determination of the something itself, which latter is thus the finite.
In the first section, in which determinate being in general was considered, this had, as at first taken up, the determination of being. Consequently, the moments of its development, quality and something, equally have an affirmative determination. In this section, on the other hand, the negative determination contained in determinate being is developed, and whereas in the first section it was at first only negation in general, the first negation, it is now determined to the point of the being-within-self or the inwardness of the something, to the negation of the negation.
1. Something and other are, in the first place, both determinate beings or somethings.
Secondly, each is equally an other. It is immaterial which is first named and solely for that reason called something; (in Latin, when they both occur in a sentence, both are called aliud, or 'the one, the other', alius alium; when there is reciprocity the expression alter alterum is analogous). If of two things we call one A, and the other B, then in the first instance B is determined as the other. But A is just as much the other of B. Both are, in the same way, others. The word 'this' serves to fix the distinction and the something which is to be taken affirmatively. But 'this' clearly expresses that this distinguishing and signalising of the one something is a subjective designating falling outside the-something itself. The entire determinateness falls into this external pointing out; even the expression 'this' contains no distinction; each and every something is just as well a 'this' as it is also an other. By 'this' we mean to express something completely determined; it is overlooked that speech, as a work of the understanding, gives expression only to universals, except in the name of a single object; but the individual name is meaningless, in the sense that it does not express a universal, and for the same reason appears as something merely posited and arbitrary; just as proper names, too, can be arbitrarily assumed, given or also altered.
Otherness thus appears as a determination alien to the determinate being thus characterised, or as the other outside the one determinate being; partly because a determinate being is determined as other only through being compared by a Third, and partly because it is only determined as other on account of the other which is outside it, but is not an other on its own account. At the same time, as has been Remarked, every determinate being, even for ordinary thinking, determines itself as an other, so that there is no determinate being which is determined only as such, which is not outside a determinate being and therefore is not itself an other.
Both are determined equally as something and as other, and are thus the same, and there is so far no distinction between them. But this self-sameness of the determinations likewise arises only from external reflection, from the comparing of them; but the other as at first posited, although an other in relation to the something, is nevertheless also an other on its own account, apart from the something.
Thirdly, therefore, the other is to be taken as isolated, as in relation to itself, abstractly as the other; the to eteron of Plato, who opposes it as one of the moments of totality to the One, and in this way ascribes to the other a nature of its own. Thus the other, taken solely as such, is not the other of something but the other in its own self, that is, the other of itself. Such an other, determined as other, is physical nature; it is the other of spirit. This its determination is thus at first a mere relativity by which is expressed, not a quality of nature itself, but only a relation external to it. However, since spirit is the true something and nature, consequently, in its own self is only what it is as contrasted with spirit, the quality of nature taken as such is just this, to be the other in its own self, that which is external to itself (in the determinations of space, time and matter).
The other simply by itself is the other in its own self, hence the other of itself and so the other of the other — it is, therefore, that which is absolutely dissimilar within itself, that which negates itself, alters itself. But in so doing it remains identical with itself, for that into which it alters is the other, and this is its sole determination; but what is altered is not determined in any different way but in the same way, namely, to be an other; in this latter, therefore, it only unites with its own self. It is thus posited as reflected into itself with sublation of the otherness, as a self-identical something from which, consequently, the otherness, which is at the same time a moment of it, is distinct from it and does not appertain to the something itself.
2. Something preserves itself in the negative of its determinate being [Nichtdasein]; it is essentially one with it and essentially not one with it. It stands, therefore, in a relation to its otherness and is not simply its otherness. The otherness is at once contained in it and also still separate from it; it is a being-for-other.
Determinate being as such is immediate, without relation to an other; or, it is in the determination of being; but as including within itself non-being, it is determinate being, being negated within itself, and then in the first instance an other-but since at the same time it also preserves itself in its negation, it is only a being-for-other.
It preserves itself in the negative of its determinate being and is being, but not being in general, but as self-related in opposition to its relation to other, as self-equal in opposition to its inequality. Such a being is being-in-itself.
Being-for-other and being-in-itself constitute the two moments of the something. There are here present two pairs of determinations: 1. Something and other, 2. Being-for-other and being-in-itself. The former contain the unrelatedness of their determinateness; something and other fall apart. But their truth is their relation; being-for-other and being-in-itself are, therefore, the above determinations posited as moments of one and the same something, as determination which are relations and which remain in their unity, in the unity of determinate being. Each, therefore, at the same time, also contains within itself its other moment which is distinguished from it.
Being and nothing in their unity, which is determinate being are no longer being and nothing — these they are only outside their unity — thus in their unstable unity, in becoming, they are coming-to-be and ceasing-to-be. The being in something is being-in-itself Being, which is self-relation, equality with self, is now no longer immediate, but is only as the non-being of otherness (as determinate being reflected into itself). Similarly, non-being as a moment of something is, in this unity of being and non-being, not negative determinate being in general, but an other, and more specifically — seeing that being is differentiated from it — at the same time a relation to its negative determinate being, a being-for-other.
Hence being-in-itself is, first, a negative relation to the negative determinate being, it has the otherness outside it and is opposed to it; in so far as something is in itself it is withdrawn from otherness and being-for-other. But secondly it has also present in it non-being itself, for it is itself the non-being of being-for-other.
But being-for-other is, first, a negation of the simple relation of being to itself which, in the first instance, is supposed to be determinate being and something; in so far as something is in an other or is for an other, it lacks a being of its own. But secondly it is not negative determinate being as pure nothing; it is negative determinate being which points to being-in-itself as to its own being which is reflected into itself, just as, conversely, being-in-itself points to being-for-other.
3. Both moments are determinations of what is one and the same, namely, the something. Something is in itself in so far as it has returned into itself out of the being-for-other. But something also has in itself (here the accent falls on in) or within it, a determination or circumstance in so far as this circumstance is outwardly in it, is a being-for-other.
This leads to a further determination. Being-in-itself and being-for-other are, in the first instance, distinct; but that something also has within it the same character that it is in itself, and, conversely, that what it is as being-for-other it also is in itself-this is the identity of being-in-itself and being-for-other, in accordance with the determination that the something itself is one and the same something of both moments, which, therefore, are undividedly present in it. This identity is already formally given in the sphere of determinate being, but more expressly in the consideration of essence and of the relation of inner and outer, and most precisely in the consideration of the Idea as the unity of the Notion and actuality. People fancy that they are saying something lofty with the expression 'in itself', as they do in saying 'the inner'; but what something is only in itself, is also only in it; 'in itself' is only an abstract, and so even external determination. The expressions: there is nothing in it, or, there is something in it, imply, though somewhat obscurely, that what is in a thing also belongs to the thing's being-in-itself, to its inner, true worth.
It may be observed that the meaning of the thing-in-itself is here revealed; it is a very simple abstraction but for some while it counted as a very important determination, something superior, as it were, just as the proposition that we do not know what things are in themselves ranked as a profound piece of wisdom.
Things are called 'in themselves' in so far as abstraction is made from all being-for-other, which means simply, in so far as they are thought devoid of all determination, as nothings. In this sense, it is of course impossible to know what the thing-in-itself is. For the question: what? Demands that determinations be assigned; but since the things of which they are to be assigned are at the same time supposed to be things in-themselves, which means, in effect, to be without any determination, the question is thoughtlessly made impossible to answer, or else only an absurd answer is given. The thing-in-itself is the same as that absolute of which we know nothing except that in it all is one. What is in these things-in-themselves, therefore, we know quite well; they are as such nothing but truthless, empty abstractions.
What, however, the thing-in-itself is in truth, what truly is in itself, of this logic is the exposition, in which however something better than an abstraction is understood by 'in-itself', namely, what something is in its Notion; but the Notion is concrete within itself, is comprehensible simply as Notion, and as determined within itself and the connected whole of its determinations, is cognisable.
Being-in-itself, in the first instance, has being-for-other as its contrasted moment; but positedness, too, is contrasted with it. This expression, it is true, includes also being-for-other, but it specifically contains the already accomplished bending back of that which is not in itself into that which is its being-in-itself, in which it is positive. Being-in-itself is generally to be taken as an abstract way of expressing the Notion; positing, properly speaking, first occurs in the sphere of essence, of objective reflection; the ground posits that which is grounded by it; still more, the cause produces or brings forth an effect, a determinate being whose self-subsistence is immediately negated and which carries the meaning of having its matter [Sache], its being, in an other. In the sphere of being, determinate being only proceeds from becoming, or, with the something an other is posited, with the finite, the infinite; but the finite does not bring forth the infinite, does not posit it. In the sphere of being, the self-determining even of the Notion is at first only in itself or implicit — as such it is called a transition; and the reflected determinations of being such as something and other, or finite and infinite, although they essentially refer to each other or are as a being-for-other, they too count as qualitative, as existing on their own account; the other is, the finite ranks equally with the infinite as an immediate, affirmative being, standing fast on its own account; the meaning of each appears to be complete even without its other. On the other hand positive and negative, cause and effect, however much they may be taken as isolated from each other, are at the same time meaningless one without the other. There is present in them their showing or reflection in each other, the showing or reflection in each of its other. In the different spheres of determination and especially in the progress of the exposition, or more precisely in the progress of the Notion towards the exposition of itself, it is of capital importance always clearly to distinguish what is still in itself and what is posited, the determinations as they are in the Notion, and as they are as posited, or as being-for-other. This is a distinction which belongs only to the dialectical development and which is unknown to metaphysical philosophising, which also includes the critical philosophy; the definitions of metaphysics, like its presuppositions, distinctions and conclusions, seek to assert and produce only what comes under the category of being, and that, too, of being-in-itself.
Being-for-other is, in the unity of the something with itself, identical with its in-itself; the being-for-other is thus present in the something. The determinateness thus reflected into itself is, therefore, again in the simple form of being, and hence is again a quality: determination.
The in-itself into which something is reflected into itself out of its being-for-other is no longer an abstract in-itself, but as negation of its being-for-other is mediated by the latter, which is thus its moment. It is not only the immediate identity of the something with itself, but the identity through which there is present in the something that which it is in itself; being-for-other is present in it because the in-itself is the sublation of the being-for-other, has returned out of the being-for-other into itself; but equally, too, simply because it is abstract and therefore essentially burdened with negation, with being-for-other. There is present here not only quality and reality, determinateness in the form of simple being, but determinateness in the form of the in-itself; and the development consists in positing this determinateness as reflected into itself.
1. The quality which is constituted by the essential unity of the in-itself in the simple something with its other moment, the presence in it of its being-for-other, can be called the determination of the in-itself, in so far as this word in its exact meaning is distinguished from determinateness in general. Determination is affirmative determinateness as the in-itself with which something in its determinate being remains congruous in face of its entanglement with the other by which it might be determined, maintaining itself in its self-equality, and making its determination hold good in its being-for-other. Something fulfils its determination in so far as the further determinateness which at once develops in various directions through something's relation to other, is congruous with the in-itself of the something, becomes its filling. Determination implies that what something is in itself, is also present in it.
The determination of man is thinking reason; thought in general, thought as such, in his simple determinateness — by it he is distinguished from the brute; in himself he is thought, in so far as this is also distinguished from his being-for-other, from his own natural existence and sense — nature through which he is directly connected with his other. But thought is also present in him; man himself is thought, he actually exists as thinking, it is his concrete existence and actuality; and, further, since thought is in his determinate being and his determinate being is in thought, it is to be taken as concrete, as having content and filling; it is thinking reason and as such the determination of man. But even this determination again is only in itself as something which ought to be, that is it, together with the filling which is incorporated in its in-itself, is in the form of the in-itself in general, in contrast to the determinate being not incorporated in it, which at the same time still confronts it externally as immediate sense-nature and nature.
2. The filling of the in-itself with determinateness is also distinct from the determinateness which is only being-for-other and remains outside the determination. For in the sphere of quality, the differences in their sublated form as moments also retain the form of immediate, qualitative being relatively to one another.
That which something has in it, thus divides itself and is from this side an external determinate being of the something, which is also its determinate being, but does not belong to the something's in-itself. The determinateness is thus a constitution.
Constituted in this or that way, something is involved in external influences and relationships. This external connection on which the constitution depends, and the circumstance of being determined by an other, appears as something contingent. But it is the quality of something to be open to external influences and to have a constitution.
In so far as something alters, the alteration falls within its constitution; it is that in the something which becomes an other. The something itself preserves itself in the alteration which affects only this unstable surface of its otherness, not its determination.
Determination and constitution are thus distinguished from each other; something, in accordance with its determination, is indifferent to its constitution. But that which something has in it, is the middle term connecting them in this syllogism. Or, rather, the being-in-the-something showed itself as falling apart into these two extremes. The simple middle term is determinateness as such; to its identity belongs both determination and constitution. But determination spontaneously passes over into constitution, and the latter into the former. This is implied in what has been said already; the connection is more precisely this: in so far as that which something is in itself is also present in it, it is burdened with being-for-other; hence the determination is, as such, open to relationship to other. The determinateness is at the same time a moment, but contains at the same time the qualitative distinction of being different from the in-itself, of being the negative of the something, another determinate being. The determinateness which thus holds the other within it, being united with the in-itself, brings the otherness into the latter or into the determination, which, consequently, is reduced to constitution. Conversely, being-for-other isolated as constitution and posited by itself, is in its own self the same as the other as such, the other in its own self, that is, the other of itself; but thus it is self-related determinate being, the in-itself with a determinateness, and therefore a determination. Consequently, in so far as determination and constitution are also to be held apart, the latter, which appears to be grounded in something external, in an other in general, also depends on the former, and the determining from outside is at the same time determined by the something's own, immanent determination. But further, the constitution belongs to that which the something is in itself; something alters with its constitution.
This alteration of something is no longer the first alteration of something merely in accordance with its being-for-other; the first was only an implicit (an sich seiende) alteration belonging to the inner Notion; now alteration is also posited in the something. The something itself is further determined and the negation is posited as immanent in it, as its developed being-within-self.
In the first place, the transition of determination and constitution into each other is the sublation of their difference, resulting in the positing of determinate being or something in general; and since this latter results from that difference which equally includes within it qualitative otherness, there are two somethings which, however, are not opposed to each other only as others in general — for in that case this negation would still be abstract and would arise only from comparing them. But the negation is now immanent in the somethings. As determinate beings they are indifferent to each other, but this their affirmation is no longer immediate, each relates itself to itself only by means of the sublation of the otherness which, in the determination, is reflected into the in-itself.
Thus something through its own nature relates itself to the other, because otherness is posited in it as its own moment; its being-within-self includes the negation within it, by means of which alone it now has its affirmative determinate being. But the other is also qualitatively distinguished from this and is thus posited outside the something. The negation of its other is now the quality of the something, for it is as this sublating of its other that it is something. It is only in this sublation that the other is really opposed to another determinate being; the other is only externally opposed to the first something, or rather, since in fact they are directly connected, that is in their Notion, their connection is this, that determinate being has passed over into otherness, something into other, and something is just as much an other as the other itself is. Now in so far as the being-within-self is the non-being of the otherness which is contained in it but which at the same time has a distinct being of its own, the something is itself the negation, the ceasing of an other in it; it is posited as relating itself negatively to the other and in so doing preserving itself; this other, the being-within-self of the something as negation of the negation, is its in-itself, and at the same time this sublation is present in it as a simple negation, namely, as its negation of the other something external to it. There is a single determinateness of both, which on the one hand is identical with the being-within-self of the somethings as negation of the negation, and on the other hand, since these negations are opposed to one another as other somethings, conjoins and equally disjoins them through their own nature, each negating the other: this determinateness is limit.
3. Being-for-other is the indeterminate, affirmative community of something with its other; in the limit the non-being-for-other becomes prominent, the qualitative negation of the other, which is thereby kept apart from the something which is reflected into itself. We must observe the development of this Notion, which manifests itself, however, rather as an entanglement and a contradiction. This contradiction is at once to be found in the circumstance that the limit, as something's negation reflected into itself, contains ideally in it the moments of something and other, and these, as distinguished moments, are at the same time posited in the sphere of determinate being as really, qualitatively distinct.
[a] Something, therefore, is immediate, self-related determinate being, and has a limit, in the first place, relatively to an other; the limit is the non-being of the other, not of the something itself: in the limit, something limits its other. But the other is itself a something in general, therefore the limit which something has relatively to the other is also the limit of the other as a something, its limit whereby it keeps the first something as its other apart from it, or is a non-being of that something; it is thus not only non-being of the other, but-non-being, equally of the one and of the other something, consequently of the something as such.
But the limit is essentially equally the non-being of the other, and so something at the same time is through its limit. It is true that something, in limiting the other, is subjected to being limited itself; but at the same time its limit is, as the ceasing of the other in it, itself only the being of the something; through the limit something is what it is, and in the limit it has its quality. This relationship is the outward manifestation of the fact that the limit is simple negation or the first negation, whereas the other is, at the same time, the negation of the negation, the being-within-itself of the something.
Something, as an immediate determinate being, is, therefore, the limit relatively to another something, but the limit is present in the something itself, which is a something through the mediation of the limit which is just as much the non-being of the something. Limit is the mediation through which something and other each as well is, as is not.
[b] Now in so far as something in its limit both is and is not, and these moments are an immediate, qualitative difference, the negative determinate being and the determinate being of the something fall outside each other. Something has its determinate being outside (or, as it is also put, on the inside) of its limit; similarly, the other, too, because it is a something, is outside it. Limit is the middle between the two of them in which they cease. They have their determinate being beyond each other and beyond their limit; the limit as the non-being of each is the other of both.
It is in accordance with this difference of something from its limit that the line appears as line only outside its limit, the point; the plane as plane outside the line; the solid as solid only outside its limiting surface. It is primarily this aspect of limit which is seized by pictorial thought — the self-externality of the Notion — and especially, too, in reference to spatial objects.
[c] But further, something as it is outside the limit, the unlimited something, is only a determinate being in general. As such, it is not distinguished from its other; it is only determinate being and therefore has the same determination as its other; each is only a something in general, or each is an other; thus both are the same. But this their primarily immediate determinate being is now posited with the determinateness as limit, in which both are what they are, distinguished from each other. Limit is, however, equally their common distinguishedness, their unity and distinguishedness, like determinate being. This double identity of both, of determinate being and limit, contains this: that something has its determinate being only in the limit, and that since the limit and the determinate being are each at the same time the negative of each other, the something, which is only in its limit, just as much separates itself from itself and points beyond itself to its non-being, declaring this is to be its being and thus passing over into it. To apply this to the preceding example and taking first the determination that something is what it is only in its limit: as thus determined, the point is therefore the limit of the line, not merely in the sense that the line only ceases in the point, and as a determinate being is outside it; neither is the line the limit of the plane merely in the sense that the plane only ceases in it-and similarly with surface as limit of the solid; on the contrary, in the point the line also begins; the point is its absolute beginning. Even when the line is represented as unlimited on either side, or, as it is put, is produced to infinity, the point still constitutes its element, just as the line is the element of the plane, and the surface that of the solid. These limits are the principle of that which they limit; just as one, for example as hundredth, is the limit, but also the element, of the whole hundred.
The other determination is the unrest of the something in its limit in which it is immanent, an unrest which is the contradiction which impels the something out beyond itself. Thus the point is this dialectic of its own self to become a line, the line the dialectic to become a plane, and the plane the dialectic to become total space. A second definition is given of line, plane and total space: namely, that the line originates through the movement of the point, the plane through the movement of the line, and so on. But this movement of the point, line and so on, is regarded as something contingent or as only thus imagined. This point of view is, however, really retracted in so far as the determinations from which the line and so on are supposed to originate are their elements and principles which, at the same time, are nothing else but their limits; and so the origin is not considered as contingent or as only thus imagined. That point, line and plane by themselves are self-contradictory, are beginnings which spontaneously repel themselves from themselves, so that the point, through its Notion, passes out of itself into the line, moves in itself and gives rise to the line, and so on, lies in the Notion of limit which is immanent in the something. The application itself, however, belongs to the consideration of space; to give an indication of it here, the point is the wholly abstract limit, but in a determinate being; this is taken as still wholly abstract, it is so-called absolute, that is, abstract space, a purely continuous asunderness. But the limit is not abstract negation, but is in this determinate being, is a spatial determinateness; the point is, therefore, spatial, the contradiction of abstract negation and continuity, and is, therefore, the transition, the accomplished transition into the line, and so on; just as also, for the same reason, there is no such thing as a point, line or plane.
Something with its immanent limit posited as the contradiction of itself, through which it is directed and forced out of and beyond itself, is the finite.
The being of something is determinate; something has a quality and in it is not only determined but limited; its quality is its limit and, burdened with this, it remains in the first place an affirmative, stable being. But the development of this negation, so that the opposition between its determinate being and the negation as its immanent limit, is itself the being-within-self of the something, which is thus in its own self only a becoming, constitutes the finitude of something.
When we say of things that they are finite, we understand thereby that they not only have a determinateness, that their quality is not only a reality and an intrinsic determination, that finite things are not merely limited — as such they still have determinate being outside their limit — but that, on the contrary, non-being constitutes their nature and being. Finite things are, but their relation to themselves is that they are negatively self-related and in this they are negatively self-related and in this very self-relation send themselves away beyond themselves, beyond their being. They are, but the truth of this being is their end.
The finite not only alters, like something in general, but it ceases to be; and its ceasing to be is not merely a possibility, so that it could be without ceasing to be, but the being as such of finite things is to have the germ of decease as their being-within-self: the hour of their birth is the hour of their death.
The thought of the finitude of things brings this sadness with it because it is qualitative negation pushed to its extreme, and in the singleness of such determination there is no longer left to things an affirmative being distinct from their destiny to perish. Because of this qualitative singleness of the negation, which has gone back to the abstract opposition of nothing and ceasing-to-be as opposed to being, finitude is the most stubborn category of the understanding; negation in general, constitution and limit, reconcile themselves with their other, with determinate being; and even nothing, taken abstractly as such, is given up as an abstraction; but finitude is the negation as fixed in itself, and it therefore stands in abrupt contrast to its affirmative. The finite, it is true, lest itself be brought into flux, it is itself this, to be determined or destined to its end, but only to its end — or rather, it is the refusal to let itself be brought affirmatively to its affirmative, to the infinite, and to let itself be united with it; it is therefore posited as inseparable from its nothing, and is thereby cut off from all reconciliation with its other, the affirmative. The determination or destiny of finite things takes them no further than their end. The understanding persists in this sadness of finitude by making non-being the determination of things and at the same time making it imperishable and absolute. Their transitoriness could only pass away or perish in their other, in the affirmative; their finitude would then be parted from them; but it is their unalterable quality, that is, their quality which does not pass over into its other, that is, into its affirmative; it is thus eternal
This is a very important consideration; but certainly no philosophy or opinion, or understanding, will let itself be tied to the standpoint that the finite is absolute; the very opposite is expressly present in the assertion of the finite; the finite is limited, transitory, it is only finite, not imperishable; this is directly implied in its determination and expression. But the point is, whether in thinking of the finite one holds fast to the being of finitude and lets the transitoriness continue to be, or whether the transitoriness and the ceasing-to-be cease to be. But it is precisely in that view of the finite which makes ceasing-to-be the final determination of the finite, that this does not happen. It is the express assertion that the finite is irreconcilable with the infinite and cannot be united with it, that the finite is utterly opposed to the infinite. Being, absolute being, is ascribed to the infinite; confronting it, the finite thus remains held fast as its negative; incapable of union with the infinite, it remains absolute on its own side; from the affirmative, from the infinite, it would receive affirmation, and would thus cease to be; but a union with the infinite is just what is declared to be impossible. If it is not to remain fixed in its opposition to the infinite but is to cease to be, then, as we have already said, just this ceasing-to-be is its final determination, not the affirmative which would be only the ceasing to be of the ceasing-to-be. If, however, the finite is not to pass way in the affirmative, but its end is to be grasped as the nothing, then we should be back again at that first, abstract nothing which itself has long since passed away.
With this nothing, however, which is supposed to be only nothing, and which at the same time is granted an existence in thought, imagination or speech, there occurs the same contradiction as has just been indicated in connection with the finite, but with this difference, that in the case of that first nothing it only occurs, whereas in finitude it is explicitly stated. There it appears as subjective; here it is asserted that the finite stands perpetually opposed to the infinite, that what is in itself null is, and is as in itself null. We have to become conscious of this; and the development of the finite shows that, having this contradiction present within it, it collapses within itself, yet in doing so actually resolves the contradiction, that not only is the finite transitory and ceases to be, but that the ceasing-to-be, the nothing, is not the final determination, but itself ceases to be.
This contradiction is, indeed, abstractly present simply in the circumstance that the something is finite, or that the finite is. But something or being is no longer abstractly posited but reflected into itself and developed as being-within-self which possesses a determination and a constitution, and, still more specifically, a limit which, as immanent in the something and constituting the quality of its being-within-self, is finitude. It is to be seen what moment are contained in this Notion of the finite something.
Determination and constitution showed themselves as sides for external reflection; but the former already contained otherness as belonging to the something's in-itself; the externality of the otherness is on the one hand in the something's own inwardness, on the other hand it remains, as externality, distinguished from it, it is still externality as such, but present in the something. But further, since the otherness is determined as limit, as itself negation of the negation, the otherness immanent in the something is posited as the connection of the two sides, and the unity with itself of the something which possesses both determination and constitution, is its relation turned towards its own self, the relation of its implicit determination to the limit immanent in the something, a relation in which this immanent limit is negated. The self-identical being-within-self thus relates itself to itself as its own non-being, but as negation of the negation, as negating the non-being which at the same time retains in it determinate being, for determinate being is the quality of its being-within-self. Something's own limit thus posited by it as a negative which is at the same time essential, is not merely limit as such, but limitation. But what is posited as negated is not limitation alone; the negation is two-edged, since what is posited by it as negated is the limit, and this is in general what is common to both something and other, and is also a determinateness of the in-itself of the determination as such. This in-itself, therefore, as the negative relation to its limit (which is also distinguished from it), to itself as limitation, is the ought.
In order that the limit which is in something as such should be a limitation, something must at the same time in its own self transcend the limit, it must in its own self be related to the limit as to something which is not. The determinate being of something lies inertly indifferent, as it were, alongside its limit. But something only transcends its limit in so far as it is the accomplished sublation of the limit, is the in-itself as negatively related to it. And since the limit is in the determination itself as a limitation, something transcends its own self.
The ought therefore contains the determination in double form: once as the implicit determination counter to the negation, and again as a non-being which, as a limitation, is distinguished from the determination, but is at the same time itself an implicit determination.
The finite has thus determined itself as the relation of its determination to its limit; in this relation, the determination is an ought and the limit is a limitation. Both are thus moments of the finite and hence are themselves finite, both the ought and the limitation. But only the limitation is posited as finite; the ought is limited only in itself, that is, for us. It is limited through its relation to the limit which is already immanent in the ought itself, but this its restriction is enveloped in the in-itself, for, in accordance with its determinate being, that is, its determinateness relatively to the limitation, it is posited as the in-itself.
What ought to be is, and at the same time is not. If it were, we could not say that it ought merely to be. The ought has, therefore, essentially a limitation. This limitation is not alien to it; that which only ought to be is the determination, which is now posited as it is in fact, namely, as at the same time only a determinateness.
The being-in-itself of the something in its determination reduces itself therefore to an ought-to-be through the fact that the same thing which constitutes its in-itself is in one and the same respect a non-being; and that, too, in this way, that in the being-within-self, in the negation of the negation, this in-itself as one of the negations (the one that negates) is a unity with the other, which at the same time is a qualitatively distinct limit, through which this unity is a relation to it. The limitation of the finite is not something external to it; on the contrary, its own determination is also its limitation; and this latter is both itself and also the ought-to-be; it is that which is common to both, or rather that in which both are identical.
But now further, the finite as the ought transcends its limitation; the same determinateness which is its negation is also sublated, and is thus its in-itself; its limit is also not its limit.
Hence as the ought, something is raised above its limitation, but conversely, it is only as the ought that it has its limitation. The two are inseparable. Something has a limitation in so far as it has negation in its determination, and the determination is also the accomplished sublation of the limitation.
The ought has recently played a great part in philosophy, especially in connection with morality and also in metaphysics generally, as the ultimate and absolute concept of the identity of the in-itself or self-relation, and of the determinateness or limit.
'You can, because you ought' — this expression, which is supposed to mean a great deal, is implied in the notion of ought. For the ought implies that one is superior to the limitation; in it the limit is sublated and the in-itself of the ought is thus an identical self-relation, and hence the abstraction of 'can'. But conversely, it is equally correct that: 'you cannot, just because you ought.' For in the ought, the limitation as limitation is equally implied; the said formalism of possibility has, in the limitation, a reality, a qualitative otherness opposed to it and the relation of each to the other is a contradiction, and thus a 'cannot', or rather an impossibility.
In the Ought the transcendence of finitude, that is, infinity, begins. The ought is that which, in the further development, exhibits itself in accordance with the said impossibility as the infinity.
With respect to the form of the limitation and the ought, two prejudices can be criticised in more detail. First of all, great stress is laid on the limitations of thought, of reason, and so on, and it is asserted that the limitation cannot be transcended. To make such as assertion is to be unaware that the very fact that something is determined as a limitation implies that the limitation is already transcended. For a determinateness, a limit, is determined as a limitation only in opposition to its other in general, that is, in opposition to that which is free from the limitation; the other of a limitation is precisely the being beyond it. Stone and metal do not transcend their limitation because this is not a limitation for them. If, however, in the case of such general propositions framed by the understanding, such as that limitation cannot be transcended, thought will not apply itself to finding out what is implied in the Notion, then it can be directed to the world of actuality where such proportions show themselves to be completely unreal. Just because thought is supposed to be superior to actuality, to dwell apart from it in higher regions and therefore to be itself determined as an ought-to-be, on the one hand, it does not advance to the Notion, and, on the other hand, it stands in just as untrue a relation to actuality as it does to the Notion.
Because the stone does not think, does not even feel, its limitedness is not a limitation for it, that is, is not a negation in it for sensation, imagination, thought, etc., which it does not possess. But even the stone, as a something, contains the distinction of its determination or in-itself and its determinate being, and to that extent it, too, transcends its limitation; the Notion which is implicit in it contains the identity of the stone with its other. If it is a base capable of being acted on by an acid, then it can be oxidised, and neutralised, and so on. In oxidation, neutralisation and so on, it overcomes its limitation of existing only as a base; it transcends it, and similarly the acid overcomes its limitation of being an acid. This ought, the obligation to transcend limitations, is present in both acid and caustic base in such a degree that it is only by force that they can be kept fixed as (waterless, that is, purely non-neutral) acid and caustic base.
If, however, an existence contains the Notion not merely as an abstract in-itself, but as an explicit, self-determined totality, as instinct, life, ideation, etc., then in its own strength it overcomes the limitation and attains a being beyond it. The plant transcends the limitation of being a seed, similarly, of being blossom, fruit, leaf; the seed becomes the developed plant, the blossom fades away, and so on. The sentient creature, in the limitation of hunger, thirst, etc., is the urge to overcome this limitation and it does overcome it. It feels pain, and it is the privilege of the sentient nature to feel pain; it is a negation in its self, and the negation is determined as a limitation in its feeling, just because the sentient creature has the feeling of its self, which is the totality that transcends this determinateness. If it were not above and beyond the determinateness, it would not feel it as its negation and would feel no pain.
But it is reason, thought, which is supposed to be unable to transcend limitation — reason, which is the universal explicitly beyond particularity as such (that is, all particularity), which is nothing but the overcoming of limitation! Granted, not every instance of transcending and being beyond limitation is a genuine liberation from it, a veritable affirmation; even the ought itself, and abstraction in general, is in imperfect transcending. However, the reference to the wholly abstract universal is a sufficient reply to the equally abstract assertion that limitation cannot be transcended, or, again, even the reference to the infinite in general is a sufficient refutation of the assertion that the finite cannot be transcended.
In this connection we may mention a seemingly ingenious fancy of Leibniz: that if a magnet possessed consciousness it would regard its pointing to the north as a determination of its will, as a law of its freedom. On the contrary, if it possessed consciousness and consequently will and freedom, it would be a thinking being. Consequently, space for it would be universal, embracing every direction, so that the single direction to the north would be rather a limitation on its freedom, just as much as being fixed to one spot would be a limitation for a man although not for a plant.
On the other hand, the ought is the transcending, but still only finite transcending, of the limitation. Therefore, it has its place and its validity in the sphere of finitude where it holds fast to being-in-itself in opposition to limitedness, declaring the former to be the regulative and essential factor relatively to what is null. Duty is an ought directed against the particular will, against self-seeking desire and capricious interest and it is held up as an ought to the will in so far as this has the capacity to isolate itself from the true. Those who attach such importance to the ought of morality and fancy that morality is destroyed if the ought is not recognized as ultimate truth, and those too who, reasoning from the level of the understanding, derive a perpetual satisfaction from being able to confront everything there is with an ought, that is, with a 'knowing better' — and for that very reason are just as loath to be robbed of the ought — do not see that as regards the finitude of their sphere the ought receives full recognition. But in the world of actuality itself, Reason and Law are not in such a bad way that they only ought to be — it is only the abstraction of the in-itself that stops at this-any more than the ought is in its own self perennial and, what is the same thing, that finitude is absolute. The philosophy of Kant and Fichte sets up the ought as the highest point of the resolution of the contradictions of Reason; but the truth is that the ought is only the standpoint which clings to finitude and thus to contradiction.
The ought as such contains limitation, and limitation contains the ought. Their relation to each other is the finite itself which contains them both in its being-within-self. These moments of its determination are qualitatively opposed; limitation is determined as the negative of the ought and the ought likewise as the negative of limitation. The finite is thus inwardly self-contradictory; it sublates itself, ceases to be. But this its result, the negative as such, is [a] its very determination; for it is the negative of the negative. Thus, in ceasing to be, the finite has not ceased to be; it has become in the first instance only another finite which, however, is equally a ceasing-to-be as transition into another finite, and so on to infinity. But [b] closer consideration of this result shows that the finite in its ceasing-to-be, in this negation of itself has attained its being-in-itself, is united with itself. Each of its moments contains precisely this result; the ought transcends the limitation, that is, transcends itself; but beyond itself or its other, is only the limitation itself. The limitation, however, points directly beyond itself to its other, which is the ought; but this latter is the same duality of being-in-itself and determinate being as the limitation; it is the same thing; in going beyond itself, therefore, it equally only unites with itself. This identity with itself, the negation of negation, is affirmative being and thus the other of the finite, of the finite which is supposed to have the first negation for its determinateness; this other is the infinite.
The infinite in its simple Notion can, in the first place, be regarded as a fresh definition of the absolute; as indeterminate self-relation it is posited as being and becoming. The forms of determinate being find no place in the series of those determinations which can be regarded as definitions of the absolute, for the individual forms of that sphere are immediately posited only as determinatenesses, as finite in general. The infinite, however, is held to be absolute without qualification for it is determined expressly as negation of the finite, and reference is thus expressly made to limitedness in the infinite-limitedness of which being and becoming could perhaps be capable, even if not possessing or showing it-and the presence in the infinite of such limitedness is denied.
But even so, the infinite is not yet really free from limitation and finitude; the main point is to distinguish the genuine Notion of infinity from spurious infinity, the infinite of reason from the infinite of the understanding; yet the latter is the finitised infinite, and it will be found that in the very act of keeping the infinite pure and aloof from the finite, the infinite is only made finite.
The infinite is:
(a) in its simple determination, affirmative as negation of the finite
(b) but thus it is in alternating determination with the finite, and is the abstract, one-sided infinite
(c) the self-sublation of this infinite and of the finite, as a single process — this is the true or genuine infinite.
The infinite is the negation of the negation, affirmation, being which has restored itself out of limitedness. The infinite is, and more intensely so than the first immediate being; it is the true being, the elevation above limitation. At the name of the infinite, the heart and the mind light up, for in the infinite the spirit is not merely abstractly present to itself, but rises to its own self, to the light of its thinking, of its universality, of its freedom.
The Notion of the infinite as it first presents itself is this, that determinate being in its being-in-itself determines itself as finite and transcends the limitation. It is the very nature of the finite to transcend itself, to negate its negation and to become infinite. Thus the infinite does not stand as something finished and complete above or superior to the finite, as if the finite had an enduring being apart from or subordinate to the infinite. Neither do we only, as subjective reason, pass beyond the finite into the infinite; as when we say that the infinite is the Notion of reason and that through reason we rise superior to temporal things, though we let this happen without prejudice to the finite which is in no way affected by this exaltation, an exaltation which remains external to it. But the finite itself in being raised into the infinite is in no sense acted on by an alien force; on the contrary, it is its nature to be related to itself as limitation,— both limitation and as an ought-and to transcend the same, or rather, as self-relation to have negated the limitation and to be beyond it. It is not in the sublating of finitude in general that infinity in general comes to be; the truth is rather that the finite is only this, through its own nature to become itself the infinite. The infinite is its affirmative determination, that which it truly is in itself.
Thus the finite has vanished in the infinite and what is, is only the infinite.
The infinite is; in this immediacy it is at the same time the negation of an other, of the finite. As thus in the form of simple being and at the same time as the non-being of an other, it has fallen back into the category of something as a determinate being in general — more precisely, into the category of something with a limit, because the infinite is determinate being reflected into itself, resulting from the sublating of determinateness in general, and hence is determinate being posited as distinguished from its determinateness. In keeping with this determinateness, the finite stands opposed to the infinite as a real determinate being; they stand thus in a qualitative relation, each remaining external to the other; the immediate being of the infinite resuscitates the being of its negation, of the finite again which at first seemed to have vanished in the infinite.
But the infinite and the finite are not in these categories of relation only; the two sides are determined beyond the stage of being merely others to each other. Finitude, namely, is limitation posited as limitation; determinate being is posited with the determination to pass over into its in itself, to become infinite. Infinity is the nothing of the finite, it is what the latter is in itself, what it ought to be, but this ought-to-be is at the same time reflected into itself, is realised; it is a purely self-related, wholly affirmative being. In infinity we have the satisfaction that all determinateness, alteration, all limitation and with it the ought itself, are posited as vanished, as sublated, that the nothing of the finite is posited. As this negation of the finite the in-itself is determinate and thus, as negation of the negation, is affirmative within itself. But this affirmation as qualitative, is immediate self-relation, is being; and thus the infinite is reduced to the category of a being which has the finite confronting it as an other; its negative nature is posited as the simply affirmative, hence as the first and immediate negation. The infinite is in this way burdened with the opposition to the finite which, as an other, remains at the same time a determinate reality although in its in-itself, in the infinite, it is at the same time posited as sublated; this infinite is the non-finite-a being in the determinateness of negation. Contrasted with the finite, with the sphere of affirmative determinatenesses, of realities, the infinite is the indeterminate void, the beyond of the finite, whose being-in-itself is not present in its determinate reality.
The infinite as thus posited over against the finite, in a relation wherein they are as qualitatively distinct others, is to be called the spurious infinite, the infinite of the understanding, for which it has the value of the highest, the absolute Truth. The understanding is satisfied that it has truly reconciled these two, but the truth is that it is entangled in unreconciled, unresolved, absolute contradiction; it can only be brought to a consciousness of this fact by the contradictions into which it falls on every side when it ventures to apply and to explicate these its categories.
This contradiction occurs as a direct result of the circumstance that the finite remains as a determinate being opposed to the infinite, so that there are two determinatenesses; there are two worlds, one infinite and one finite, and in their relationship the infinite is only the limit of the finite and is thus only a determinate infinite, an infinite which is itself finite.
This contradiction develops its content into more explicit forms. The finite is real determinate being which persists as such even when transition is made to its non-being, to the infinite; this, as has been shown, has only the first, immediate negation for its determinateness relatively to the finite, just as the finite as opposed to that negation has, as negated, only the significance of an other and is, therefore, still [only] something. When, therefore, the understanding, raising itself above this finite world, ascends to its highest, to the infinite, this finite world remains for it on this side, so that the infinite is only set above or beyond the finite, is separated from it, with the consequence that the finite is separated from the infinite; each is assigned a distinct place — the finite as determinate being here, on this side, and the infinite, although the in-itself of the finite, nevertheless as a beyond in the dim, inaccessible distance, outside of which the finite is and remains.
As thus separated they are just as much essentially connected by the very negation which separates them. This negation which connects them — the somethings reflected into themselves — is the limit of the one relatively to the other, and that, too, in such a manner that each of them does not have the limit in it merely relatively to the other, but the negation is their being-in-itself; the limit is thus present in each on its own account, in separation from the other. But the limit is in the form of the first negation and thus both are limited, finite in themselves. However, each as affirmatively self-related is also the negation of its limit; each thus immediately repels the limit, as its non-being, from itself and, as qualitatively separated from it, posits it as another being outside it, the finite positing its non-being as this infinite and the infinite, similarly, the finite. It is readily conceded that there is a necessary transition from the finite to the infinite — necessary through the determination of the finite — and that the finite is raised to the form of being-in-itself, since the finite, although persisting as a determinate being, is at the same time also determined as in itself nothing and therefore as destined to bring about its own dissolution; whereas the infinite, although determined as burdened with negation and limit, is at the same time also determined as possessing being-in-itself, so that this abstraction of self-related affirmation constitutes its determination, and hence finite determinate being is not present in it. But it has been shown that the infinite itself attains affirmative being only by means of negation, as the negation of negation, and that when this its affirmation is taken as merely simple, qualitative being, the negation contained in it is reduced to a simple immediate negation and thus to a determinateness and limit, which then, as in contradiction with the being-in-itself of the infinite is posited as excluded from it, as not belonging to it, as, on the contrary, opposed to its being-in-itself, as the finite. As therefore each is in its own self and through its own determination the positing of its other, they are inseparable. But this their unity is concealed in their qualitative otherness, it is the inner unity which only lies at their base.
This determines the manner in which this unity is manifested: posited in determinate being, the unity is a changing or transition of the finite into the infinite, and vice versa; so that the infinite only emerges in the finite and the finite in the infinite, the other in the other; that is to say, each arises immediately and independently in the other, their connection being only an external one.
The process of their transition has the following detailed shape. We pass from the finite to the infinite. This transcending of the finite appears as an external act. In this void beyond the finite, what arises? What is the positive element in it? Owing to the inseparability of the infinite and the finite — or because this infinite remaining aloof on its own side is itself limited — there arises a limit; the infinite has vanished and its other, the finite, has entered. But this entrance of the finite appears as a happening external to the infinite, and the new limit as something that does not arise from the infinite itself but is likewise found as given. And so we are faced with a relapse into the previous determination which has been sublated in vain. But this new limit is itself only something which has to be sublated or transcended. And so again there arises the void, the nothing, in which similarly the said determinateness, a new limit, is encountered — and so on to infinity.
We have before us the alternating determination of the finite and the infinite; the finite is finite only in its relation to the ought or to the infinite, and the latter is only infinite in its relation to the finite. They are inseparable and at the same time mutually related as sheer others; each has in its own self the other of itself. Each is thus the unity of itself and its other and is in its determinateness not that which it itself is, and which its other is.
It is this alternating determination negating both its own self and its negation, which appears as the progress to infinity, a progress which in so many forms and applications is accepted as something ultimate beyond which thought does not go but, having got as far as this 'and so on to infinity', has usually reached its goal. This progress makes its appearance wherever relative determinations are pressed to the point of opposition, with the result that although they are in an inseparable unity, each is credited with a self-subsistent determinate being over against the other. The progress is, consequently, a contradiction which is not resolved but is always only enunciated as present.
What we have here is an abstract transcending of a limit, a transcending which remains incomplete because it is not itself transcended. Before us is the infinite; it is of course transcended, for a new limit is posited, but the result is rather only a return to the finite. This spurious infinity is in itself the same thing as the perennial ought; it is the negation of the finite it is true, but it cannot in truth free itself therefrom. The finite reappears in the infinite itself as its other, because it is only in its connection with its other, the finite, that the infinite is. The progress to infinity is, consequently, only the perpetual repetition of one and the same content, one and the same tedious alternation of this finite and infinite.
The infinity of the infinite progress remains burdened with the finite as such, is thereby limited and is itself finite. But this being so, the infinite progress would in fact be posited as the unity of the finite and the infinite; but this unity is not reflected on. Yet it is this unity alone which evokes the infinite in the finite and the finite in the infinite; it is, so to speak, the mainspring of the infinite progress. This progress is the external aspect of this unity at which ordinary thinking halts, at this perpetual repetition of one and the same alternation, of the vain unrest of advancing beyond the limit to infinity, only to find in this infinite a new limit in which, however, it is as little able to rest as in the infinite. This infinite has the fixed determination of a beyond, which cannot be reached, for the very reason that it is not meant to be reached, because the determinateness of the beyond, of the affirmative negation, is not let go. In accordance with this determination the infinite has the finite opposed to it as a being on this side, which is equally unable to raise itself into the infinite just because it has this determination of an other, of a determinate being which perpetually generates itself in its beyond, a beyond from which it is again distinct.
In this alternating determination of the finite and the infinite from one to the other and back again, their truth is already implicitly present, and all that is required is to take up what is before us. This transition from one to the other and back again constitutes the external realisation of the Notion. In this realisation is posited the content of the Notion, but it is posited as external, as falling asunder; all that is required is to compare these different moments which yield the unity which gives the Notion itself; the unity of the infinite and the finite is — as has often been remarked already but here especially is to be borne in mind — the one-sided expression for the unity as it is in truth; but the elimination, too, of this one-sided determination must lie in the externalisation of the Notion now before us.
Taken according to their first, only immediate determination, the infinite is only the beyond of the finite; according to its determination it is the negation of the finite; thus the finite is only that which must be transcended, the negation of itself in its own self, which is infinity. In each, therefore, there lies the determinateness of the other, although according to the standpoint of the infinite progress these two are supposed to be shut out from each other and only to follow each other alternately; neither can be posited and grasped without the other, the infinite not without the finite, nor the latter without the infinite. In saying what the infinite is, namely the negation of the finite, the latter is itself included in what is said; it cannot be dispensed with for the definition or determination of the infinite. One only needs to be aware of what one is saying in order to find the determination of the finite in the infinite. As regards the finite, it is readily conceded that it is the null; but its very nullity is the infinity from which it is thus inseparable. In this way of conceiving them, each may seem to be taken in its connection with its other. But if they are taken as devoid of connection with each other so that they are only joined by 'and', then each confronts the other as self-subsistent, as in its own self only affirmatively present. Let us see how they are constituted when so taken. The infinite, in that case, is one of the two; but as only one of the two it is itself finite, it is not the whole but only one side; it has its limit in what stands over against it; it is thus the finite infinite. There are present only two finites. It is precisely this holding of the infinite apart from the finite, thus giving it a one-sided character, that constitutes its finitude and, therefore, its unity with the finite. The finite, on the other hand, characterized as independent of and apart from the infinite, is that self-relation in which its relativity, its dependence and transitoriness is removed; it is the same self-subsistence and affirmation which the infinite is supposed to be.
The two modes of consideration at first seem to have a different determinateness for their point of departure, inasmuch as the former is supposed to be only the connection of the infinite and the finite, of each with its other, and the latter is supposed to hold them apart in complete separation from each other; but both modes yield one and the same result: the infinite and the finite viewed as connected with each other — the connection being only external to them but also essential to them, without which neither is what it is — each contains its own other in its own determination, just as much as each, taken on its own account, considered in its own self, has its other present within it as its own moment.
This yields the decried unity of the finite and the infinite — the unity which is itself the infinite which embraces both itself and finitude — and is therefore the infinite in a different sense from that in which the finite is regarded as separated and set apart from the infinite. Since now they must also be distinguished, each is, as has just been shown, in its own self the unity of both; thus we have two such unities. The common element, the unity of the two determinatenesses, as unity, posits them in the first place as negated, since each is supposed to be what it is in its distinction from the other; in their unity, therefore, they lose their qualitative nature-an important reflection for rebutting that idea of the unity which insists on holding fast to the infinite and finite in the quality they are supposed to have when taken in their separation from each other, a view which therefore sees in that unity only contradiction, but not also resolution of the contradiction through the negation of the qualitative determinateness of both; thus the unity of the infinite and finite, simple and general in the first instance, is falsified.
But further, since now they are also to be taken as distinct, the unity of the infinite which each of these moments is, is differently determined in each of them. The infinite determined as such, has present in it the finitude which is distinct from it; the former is the in-itself in this unity, and the latter is only determinateness, limit in it; but it is a limit which is the sheer other of the in-itself, is its opposite; the infinite's determination, which is the in-itself as such, is ruined by the addition of such a quality; it is thus a finitised infinite. Similarly, since the finite as such is only the negation of the in-itself, but by reason of this unity also has its opposite present in it, it is exalted and, so to say, infinitely exalted above its worth; the finite is posited as the infinitised finite.
Just as before, the simple unity of the infinite and finite was falsified by the understanding, so too is the double unity. Here too this results from taking the infinite in one of the two unities not as negated, but rather as the in-itself, in which, therefore, determinateness and limitation are not to be explicitly present, for these would debase and ruin it. Conversely, the finite is likewise held fast as not negated, although in itself it is null; so that in its union with the infinite it is exalted to what it is not and is thereby infinitised in opposition to its determination as finite, which instead of vanishing is perpetuated.
The falsification of the finite and infinite by the understanding which holds fast to a qualitatively distinct relation between them and asserts that each in its own nature is separate, in fact absolutely separate from the other, comes from forgetting what the Notion of these moments is for the understanding itself. According to this, the unity of the finite and infinite is not an external bringing together of them, nor an incongruous combination alien to their own nature in which there would be joined together determinations inherently separate and opposed, each having a simple affirmative being independent of the other and incompatible with it; but each is in its own self this unity, and this only as a sublating of its own self in which neither would have the advantage over the other of having an in-itself and an affirmative determinate being. As has already been shown, finitude is only as a transcending of itself; it therefore contains infinity, the other of itself.
Similarly, infinity is only as a transcending of the finite; it therefore essentially contains its other and is, consequently, in its own self the other of itself. The finite is not sublated by the infinite as by a power existing outside it; on the contrary, its infinity consists in sublating its own self.
This sublating is, therefore, not alteration or otherness as such, not the sublating of a something. That in which the finite sublates itself is the infinite as the negating of finitude; but finitude itself has long since been determined as only the non-being of determinate being. It is therefore only negation which sublates itself in the negation. Thus infinity on its side is determined as the negative of finitude, and hence of determinateness in general, as the empty beyond; the sublating of itself in the finite is a return from an empty flight, a negation of the beyond which is in its own self a negative.
What is therefore present is the same negation of negation in each. But this is in itself self-relation, affirmation, but as return to itself, that is through the mediation which the negation of negation is. These are the determinations which it is essential to keep in view; but secondly it is to be noted that they are also posited in the infinite progress, and how they are posited in it, namely, as not yet in their ultimate truth.
In the first place, both the infinite and the finite are negated in the infinite progress; both are transcended in the same manner. Secondly, they are posited one after the other as distinct, each as positive on its own account. We thus compare these two determinations in their separation, just as in our comparison — an external comparing — we have separated the two modes of considering the finite and the infinite: on the one hand in their connection, and on the other hand each on its own account. But the infinite progress expresses more than this; in it there is also posited the connection of terms which are also distinct from each other, although at first the connection is still only a transition and alternation; only a simple reflection on our part is needed to see what is in fact present.
In the first place, the negation of the finite and infinite which is posited in the infinite progress can be taken as simple, hence as separate and merely successive. Starting from the finite, the limit is transcended, the finite negated. We now have its beyond, the infinite, but in this the limit arises again; and so we have the transcending of the infinite. This double sublation, however, is partly only an external affair, an alternation of the moments, and partly it is not yet posited as a single unity; the transcending of each moment starts independently, is a fresh act, so that the two processes fall apart. But in addition there is also present in the infinite progress their connection. First there is the finite, then this is transcended and this negative or beyond of the finite is the infinite, and then this negation is again transcended, so that there arises a new limit, a finite again. This is the complete, self-closing movement which has arrived at that which constituted the beginning; what arises is the same as that from which the movement began that is, the finite is restored; it has therefore united with itself, has in its beyond only found itself again.
The same is the case with the infinite. In the infinite, the beyond of the limit, there arises only another limit which has the same fate, namely, that as finite it must be negated. Thus what is present again is the same infinite which had previously disappeared in the new limit; the infinite, therefore, through its sublating, through its transcending of the new limit, is not removed any further either from the finite-for the finite is only this, to pass over into the infinite-or from itself, for it has arrived at its own self.
Thus, both finite and infinite are this movement in which each returns to itself through its negation; they are only as mediation within themselves, and the affirmative of each contains the negative of each and is the negation of the negation. They are thus a result, and consequently not what they are in the determination of their beginning; the finite is not a determinate being on its side, and the infinite a determinate being or being-in-itself, beyond the determinate being, that is, beyond the being determined as finite. The reason why understanding is so antagonistic to the unity of the finite and infinite is simply that it presupposes the limitation and the finite, as well as the in-itself, as perpetuated; in doing so it overlooks the negation of both which is actually present in the infinite progress, as also the fact that they occur therein only as moments of a whole and that they come on the scene only by means of their opposite, but essentially also by means of the sublation of their opposite.
If, at first, the return into self was considered to be just as much a return of the finite to itself as return of the infinite to itself, this very result reveals an error which is connected with the one-sidedness just criticised: first the finite and then the infinite is taken as the starting point and it is only this that gives rise to two results. It is, however, a matter of complete indifference which is taken as the beginning; and thus the difference which occasioned the double result disappears of itself. This is likewise explicit in the line — unending in both directions — of the infinite progress in which each of the moments presents itself in equal alternation, and it is quite immaterial what point is fixed on or which of the two is taken as the beginning. They are distinguished in it but each is equally only the moment of the other. Since both the finite and the infinite itself are moments of the progress they are jointly or in common the finite, and since they are equally together negated in it and in the result, this result as negation of the finitude of both is called with truth the infinite. Their difference is thus the double meaning which both have. The finite has the double meaning of being first, only the finite over against the infinite which stands opposed to it, and secondly, of being the finite and at the same time the infinite opposed to it. The infinite, too, has the double meaning of being one of these two moments — as such it is the spurious infinite — and also the infinite in which both, the infinite and its other, are only moments. The infinite, therefore, as now before us is, in fact, the process in which it is deposed to being only one of its determinations, the opposite of the finite, and so to being itself only one of the finites, and then raising this its difference from itself into the affirmation of itself and through this mediation becoming the true infinite.
This determination of the true infinite cannot be expressed in the formula, already criticised, of a unity of the finite and infinite; unity is abstract, inert self-sameness, and the moments are similarly only in the form of inert, simply affirmative being. The infinite, however, like its two moments, is essentially only as a becoming, but a becoming now further determined in its moments. Becoming, in the first instance, has abstract being and nothing for its determinations; as alteration, its moments possess determinate being, something and other; now, as the infinite, they are the finite and the infinite, which are themselves in process of becoming.
This infinite, as the consummated return into self, the relation of itself to itself, is being-but not indeterminate, abstract being, for it is posited as negating the negation; it is, therefore, also determinate being for it contains negation in general and hence determinateness. It is and is there, present before us. It is only the spurious infinite which is the beyond, because it is only the negation of the finite posited as real — as such it is the abstract, first negation; determined only as negative, the affirmation of determinate being is lacking in it; the spurious infinite, held fast as only negative, is even supposed to be not there, is supposed to be unattainable. However, to be thus unattainable is not its grandeur but its defect, which is at bottom the result of holding fast to the finite as such as a merely affirmative being. It is what is untrue that is unattainable, and such an infinite must be seen as a falsity. The image of the progress to infinity is the straight line, at the two limits of which alone the infinite is, and always only is where the line — which is determinate being — is not, and which goes out beyond to this negation of its determinate being, that is, to the indeterminate; the image of true infinity, bent back into itself, becomes the circle, the line which has reached itself, which is closed and wholly present, without beginning and end.
True infinity taken thus generally as determinate being which is posited as affirmative in contrast to the abstract negation, is reality in a higher sense than the former reality which was simply determinate; for here it has acquired a concrete content. It is not the finite which is the real, but the infinite. Thus reality is further determined as essence, Notion, Idea, and so on. It is, however, superfluous to repeat an earlier, more abstract category such as reality, in connection with the more concrete categories and to employ it for determinations which are more concrete than it is in its own self. Such repetition as to say that essence, or the Idea, is the real, has its origin in the fact that for untrained thinking, the most abstract categories such as being, determinate being, reality, finitude, are the most familiar.
The more precise reason for recalling the category of reality here is that the negation to which it is opposed as the affirmative is here negation of the negation; as such it is itself opposed to that reality which finite determinate being is. The negation is thus determined as ideality; ideal being [das Ideelle] is the finite as it is in the true infinite — as a determination, a content, which is distinct but is not an independent, self-subsistent being, but only a moment.[7] Ideality has this more concrete signification which is not fully expressed by the negation of finite determinate being. With reference to reality and ideality, however, the opposition of finite and infinite is grasped in such a manner that the finite ranks as the real but the infinite as the 'ideal' [das Ideelle]; in the same way that further on the Notion, too, is regarded as an 'ideal', that is, as a mere 'ideal', in contrast to determinate being as such which is regarded as the real. When they are contrasted in this way, it is pointless to reserve the term 'ideal' for the concrete determination of negation in question; in that opposition we return once more to the one-sidedness of the abstract negative which is characteristic of the spurious infinite, and perpetuate the affirmative determinate being of the finite.
Ideality can be called the quality of infinity; but it is essentially the process of becoming, and hence a transition — like that of becoming in determinate being — which is now to be indicated. As a sublating of finitude, that is, of finitude as such, and equally of the infinity which is merely its opposite, merely negative, this return into self is self-relation, being. As this being contains negation it is determinate, but as this negation further is essentially negation of the negation, the self-related negation, it is that determinate being which is called being-for-self.
The infinite — in the usual meaning of the spurious infinity — and the progress to infinity are, like the ought, the expression of a contradiction which is itself put forward as the final solution. This infinite is a first elevation of sensuous conception above the finite into thought, the content of which, however, is only nothing, that is, it is expressly in the form of not-being — a flight beyond limited being which does not inwardly collect itself and does not know how to bring the negative back to the positive. This incomplete reflection has completely before it both determinations of the genuine infinite: the opposition of the finite and infinite, and their unity, but it does not bring these two thoughts together; the one inevitably evokes the other, but this reflection lets them only alternate.
This alternation, the infinite progress, is exhibited whenever one remains fixed in the contradiction of the unity of two determinations and of their opposition. The finite is the sublating of itself, it includes within itself its negation, infinity — the unity of both; there is a movement away from the finite to the infinite, to the beyond of the finite — the separation of both; but beyond the infinite is another finite — the beyond; the infinite contains finitude-the unity of both; but this finite, too, is a negative of the infinite-the separation of both; and so on. Thus, in the causal relation, cause and effect are inseparable; a cause which had no effect would not be a cause, just as an effect which had no cause would no longer be an effect. This relation yields, therefore, the infinite progress of causes and effects; something is determined as cause, but as finite (and it is finite for the very reason that it is separated from its effect) it, too, has a cause, that is, it is also an effect; hence the same thing that was determined as cause is also determined as effect — the unity of cause and effect; now that which is determined as effect again has a cause, that is, the cause has to be separated from its effect and posited as a different something; but this fresh cause is itself only an effect — the unity of cause and effect; it has an other for its cause — the separation of both determinations, and so on to infinity.
Thus the progress can be put in the following more characteristic form. The assertion is made: the finite and infinite are a single unity; this false assertion must be corrected by the opposite: they are absolutely different and opposed to each other; this must be corrected again by declaring that they are inseparable, that the determination of each lies in the other, by the assertion of their unity, and so on to infinity. What is required in order to see into the nature of the infinite is nothing difficult: it is to be aware that the infinite progress, the developed infinite of the understanding, is so constituted as to be the alternation of the two determinations, of the unity and the separation of both moments and also to be aware that this unity and this separation are themselves inseparable.
The resolution of this contradiction is not the recognition of the equal correctness and equal incorrectness of the two assertions — this is only another form of the abiding contradiction — but the ideality of both, in which as distinct, reciprocal negations, they are only moments. The said monotonous alternation is actually the negation of their unity and also of their separation. In it, also actually, there is present what was pointed out above: that the beyond of the finite is the infinite, but equally beyond the infinite again the finite finds itself reborn; consequently, in this process the finite is united only with itself, and the same is true of the infinite — so that the same negation of the negation results in an affirmation, this result thus proving itself to be their truth and primary determination. In this being which is thus the ideality of the distinct moments, the contradiction has not vanished abstractly, but is resolved and reconciled, and the thoughts are not only complete, but they are also brought together. In this detailed example, there is revealed the specific nature of speculative thought, which consists solely in grasping the opposed moments in their unity. Each moment actually shows that it contains its opposite within itself and that in this opposite it is united with itself; thus the affirmative truth is this immanently active unity, the taking together of both thoughts, their infinity — the relation to self which is not immediate but infinite.
Thinkers have often placed the essence of philosophy in the answering of the question: how does the infinite go forth from itself and become finite? This it is supposed, cannot be made comprehensible. In the course of this exposition the infinite, the Notion of which we have reached, will further determine itself and will show in all its varied forms what is demanded, that is, how (if we want so to express it) the infinite becomes finite. Here we are considering this question only in its immediacy and with respect to the meaning considered above which is usually attached to the infinite.
It is supposed that it depends altogether on the answering of this question whether there is a philosophy; and while people pretend that they are willing to let the decision rest on this, they also believe themselves to possess in the question itself a sort of puzzle, an invincible talisman, by which they are firmly secured against the answering of the question and consequently against philosophy and the entering of its portals. Even in other subjects, to understand how to put questions presupposes a certain education, and this holds good even in the case of philosophical topics if one is to obtain a better answer than that the question is an idle one.
With such questions it is usually claimed as a reasonable assumption that the matter does not depend on the words, but that the point at issue can be understood from one or other of the ways in which the question is expressed. Expressions of sensuous conception like going forth and suchlike, which are used in the question, arouse the suspicion that they spring from the level of ordinary conception and that for the answer, too, conceptions which are current in everyday life are expected and in the form of a sensuous simile.
If instead of the infinite being as such is taken, then the determining of being, a negation or finitude in it, seems easier to understand. Being, it is true, is itself the indeterminate; but that it is the opposite of determinate being, this is not directly expressed in it. In the infinite, on the other hand, this is expressed; it is the not-finite. The unity of the finite and infinite thus seems to be directly excluded, and that is why incomplete reflection is most stubbornly opposed to this unity.
But it has been shown that it is at once evident without going into further detail about the determination of the finite and infinite, that the infinite as understood by said reflection, namely, as opposed to the finite, has in it its other, just because it is opposed to the finite, and therefore is already limited and itself finite — the spurious infinite. The answer, therefore, to the question: how does the infinite become finite? is this: that there is not an infinite which is first of all infinite and only subsequently has need to become finite, to go forth into finitude; on the contrary, it is on its own account just as much finite as infinite. The question assumes that the infinite, on the one side, exists by itself, and that the finite which has gone forth from it into a separate existence — or from whatever source it might have come — is in its separation from the infinite truly real; but it should rather be said that this separation is incomprehensible. Neither such a finite nor such an infinite has truth; and what is untrue is incomprehensible. But equally it must be said that they are comprehensible, to grasp them even as they are in ordinary conception, to see that in the one there lies the determination of the other, the simple insight into their inseparability, means to comprehend them; this inseparability is their Notion. But the separate self-subsistence of the said infinite and finite assumed in the question is an untrue content, and the question already implies an untrue connection between them. Instead, therefore, of answering the question, we must deny the false presuppositions contained in it, that is, the question itself. The question as to the truth of the said infinite and finite involves a change of standpoint and this change will cause a recoil upon the first question of the embarrassment it was intended to produce. This question of ours is something new for the reflection which is the source of the first question, since such reflection does not contain the speculative interest which, for its own sake and before it connects determinations, sets out to ascertain whether these, as presupposed, are something true. But in so far as the falsity of that abstract infinite, and of the finite which equally is supposed to remain standing on its side, is recognised, there is this to be said about the coming or going forth of the finite from the infinite: the infinite goes forth out of itself into finitude because, being grasped as an abstract unity, it has no truth, no enduring being within it; and conversely the finite goes into the infinite for the same reason, namely that it is a nullity. Or rather it should be said that the infinite has eternally gone forth into finitude, that, solely by itself and without having its other present within it, the infinite no more is than pure being is.
The question as to how the infinite goes forth to the finite can contain still another presupposition, namely that the infinite in itself includes the finite, hence is in itself the unity of itself and its other, so that the difficulty is connected chiefly with the separating of them, which is in opposition to the presupposed unity of both. In this presupposition, the opposition which is insisted on merely has another form; the unity and the differentiation are separated and isolated from each other. But if the former is taken, not as the abstract indeterminate unity but, as it already is in the presupposition, as the determinate unity of the finite and the infinite, then the differentiation of both is already present in it too — a differentiation which is thus at the same time not a releasing of them into a separate self-subsistence, but which leaves them as ideal moments in the unity. This unity of the finite and infinite and the distinction between them are just as inseparable as are finitude and infinity.
The proposition that the finite is ideal [ideell] constitutes idealism. The idealism of philosophy consists in nothing else than in recognising that the finite has no veritable being. Every philosophy is essentially an idealism or at least has idealism for its principle, and the question then is only how far this principle is actually carried out. This is as true of philosophy as of religion; for religion equally does not recognise finitude as a veritable being, as something ultimate and absolute or as something underived, uncreated, eternal. Consequently the opposition of idealistic and realistic philosophy has no significance. A philosophy which ascribed veritable, ultimate, absolute being to finite existence as such, would not deserve the name of philosophy; the principles of ancient or modern philosophies, water, or matter, or atoms are thoughts, universals, ideal entities, not things as they immediately present themselves to us, that is, in their sensuous individuality — not even the water of Thales. For although this is also empirical water, it is at the same time also the in-itself or essence of all other things, too, and these other things are not self-subsistent or grounded in themselves, but are posited by, are derived from, an other, from water, that is they are ideal entities. Now above we have named the principle or the universal the ideal (and still more must the Notion, the Idea, spirit be so named); and then again we have described individual, sensuous things as ideal in principle, or in their Notion, still more in spirit, that is, as sublated; here we must note, in passing, this twofold aspect which showed itself in connection with the infinite, namely that on the one hand the ideal is concrete, veritable being, and on the other hand the moments of this concrete being are no less ideal — are sublated in it; but in fact what is, is only the one concrete whole from which the moments are inseparable.
By the ideal [dem Ideellen] is meant chiefly the form of figurate conception and imagination, and what is simply in my conception, or in the Notion, or in the idea, in imagination, and so on, is called ideal, so that even fancies are counted as ideals — conceptions which are not only distinct from the real world, but are supposed to be essentially not real. In point of fact, the spirit is the idealist proper; in spirit, even as feeling, imagination and still more as thinking and comprehending, the content is not present as a so-called real existence; in the simplicity of the ego such external being is present only as sublated, it is for me, it is ideally in me. This subjective idealism, either in the form of the unconscious idealism of consciousness generally, or consciously enunciated and set up as a principle, concerns only the form of conception according to which a content is mine; in the systematic idealism of subjectivity this form is declared to be the only true exclusive form in opposition to the form of objectivity or reality, of the external existence of that content. Such idealism is [merely] formal because it disregards the content of imagination or thought, which content in being imagined or thought can remain wholly in its finitude. In such an idealism nothing is lost, just as much because the reality of such a finite content, the existence filled with finitude, is preserved, as because, in so far as abstraction is made from such finite reality, the content is supposed to be of no consequence in itself; and in it nothing is gained for the same reason that nothing is lost, because the ego, conception, spirit, remains filled with the same content of finitude. The opposition of the form of subjectivity and objectivity is of course one of the finitudes; but the content, as taken up in sensation, intuition or even in the more abstract element of conception, of thought, contains finitudes in abundance and with the exclusion of only one of the modes of finitude, namely, of the said form of subjective and objective, these finitudes are certainly not eliminated, still less have they spontaneously fallen away.