The Logic of Hegel

by Georg Wilhelm Friedrich Hegel

The infinity of reflection here discussed is only an attempt to reach the true Infinity, a wretched neither-one-thing-nor-another. Generally speaking, it is the point of view which has in recent times been emphasised in Germany. The finite, this theory tells us, ought to be absorbed; the infinite ought not to be a negative merely, but also a positive. That 'ought to be' betrays the incapacity of actually making good a claim which is at the same time recognised to be right. This stage was never passed by the systems of Kant and Fichte, so far as ethics are concerned. The utmost to which this way brings us is only the postulate of a never-ending approximation to the law of Reason: which postulate has been made an argument for the immortality of the soul.

95.] (γ) What we now in point of fact have before us, is that somewhat comes to be an other, and that the other generally comes to be an other. Thus essentially relative to another, somewhat is virtually an other against it: and since what is passed into is quite the same as what passes over, since both have one and the same attribute, viz. to be an other, it follows that something in its passage into other only joins with itself. To be thus self-related in the passage, and in the other, is the genuine Infinity. Or, under a negative aspect: what is altered is the other, it becomes the other of the other. Thus Being, but as negation of the negation, is restored again: it is now Being-for-self.

Dualism, in putting an insuperable opposition between finite and infinite, fails to note the simple circumstance that the infinite is thereby only one of two, and is reduced to a particular, to which the finite forms the other particular. Such an infinite, which is only a particular, is co-terminous with the finite which makes for it a limit and a barrier: it is not what it ought to be, that is, the infinite, but is only finite. In such circumstances, where the finite is on this side, and the infinite on that,—this world as the finite and the other world as the infinite,—an equal dignity of permanence and independence is ascribed to finite and to infinite. The being of the finite is made an absolute being, and by this dualism gets independence and stability. Touched, so to speak, by the infinite, it would be annihilated. But it must not be touched by the infinite. There must be an abyss, an impassable gulf between the two, with the infinite abiding on yonder side and the finite steadfast on this. Those who attribute to the finite this inflexible persistence in comparison with the infinite are not, as they imagine, far above metaphysic: they are still on the level of the most ordinary metaphysic of understanding. For the same thing occurs here as in the infinite progression. At one time it is admitted that the finite has no independent actuality, no absolute being, no root and development of its own, but is only a transient. But next moment this is straightway forgotten; the finite, made a mere counterpart to the infinite, wholly separated from it, and rescued from annihilation, is conceived to be persistent in its independence. While thought thus imagines itself elevated to the infinite, it meets with the opposite fate: it comes to an infinite which is only a finite, and the finite, which it had left behind, has always to be retained and made into an absolute.

After this examination (with which it were well to compare Plato's Philebus), tending to show the nullity of the distinction made by understanding between the finite and the infinite, we are liable to glide into the statement that the infinite and the finite are therefore one, and that the genuine infinity, the truth, must be defined and enunciated as the unity of the finite and infinite. Such a statement would be to some extent correct; but is just as open to perversion and falsehood as the unity of Being and Nothing already noticed. Besides it may very fairly be charged with reducing the infinite to finitude and making a finite infinite. For, so far as the expression goes, the finite seems left in its place,—it is not expressly stated to be absorbed. Or, if we reflect that the finite, when identified with the infinite, certainly cannot remain what it was out of such unity, and will at least suffer some change in its characteristics—as an alkali, when combined with an acid, loses some of its properties, we must see that, the same fate awaits the infinite, which, as the negative, will on its part likewise have its edge, as it were, taken off on the other. And this does really happen with the abstract one-sided infinite of understanding. The genuine infinite however is not merely in the position of the one-sided acid, and so does not lose itself. The negation of negation is not a neutralisation: the infinite is the affirmative, and it is only the finite which is absorbed.

In Being-for-self enters the category of Ideality. Being-there-and-then, as in the first instance apprehended in its being or affirmation, has reality (§ 91): and thus even finitude in the first instance is in the category of reality. But the truth of the finite is rather its ideality. Similarly, the infinite of understanding, which is co-ordinated with the finite, is itself only one of two finites, no whole truth, but a non-substantial element. This ideality of the finite is the chief maxim of philosophy; and for that reason every genuine philosophy is idealism. But everything depends upon not taking for the infinite what, in the very terms of its characterisation, is. at the same time made a particular and finite.—For this reason we have bestowed a greater amount of attention on this distinction. The fundamental notion of philosophy, the genuine infinite, depends upon it. The distinction is cleared up by the simple, and for that reason seemingly insignificant, but incontrovertible reflections, contained in the first paragraph of this section.

(c) Being-for-self.

96.] (α) Being-for self, as reference to itself, is immediacy, and as reference of the negative to itself, is a self-subsistent, the One. This unit, being without distinction in itself, thus excludes the other from itself.

To be for self—to be one—is completed Quality, and as such, contains abstract Being and Being modified as non-substantial elements. As simple Being, the One is simple self-reference; as Being modified it is determinate: but the determinateness is not in this case a finite determinateness—a somewhat in distinction from an other—but infinite, because it contains distinction absorbed and annulled in itself.

The readiest instance of Being-for-self is found in the 'I.' We know ourselves as existents, distinguished in the first place from other existents, and with certain relations thereto. But we also come to know this expansion of existence (in these relations) reduced, as it were, to a point in the simple form of being-for-self. When we say 'I,' we express the reference-to-self which is infinite, and at the same time negative. Man, it may be said, is distinguished from the animal world, and in that way from nature altogether, by knowing himself as 'I': which amounts to saying that natural things never attain a free Being-for-self, but as limited to Being-there-and-then, are always and only Being for an other.—Again, Being-for-self may be described as ideality, just as Being-there-and-then was described as reality. It is said, that besides reality there is also an ideality. Thus the two categories are made equal and parallel. Properly speaking, ideality is not somewhat outside of and beside reality: the notion of ideality just lies in its being the truth of reality. That is to say, when reality is explicitly put as what it implicitly is, it is at once seen to be ideality. Hence ideality has not received its proper estimation, when you allow that reality is not all in all, but that an ideality must be recognised outside of it. Such an ideality, external to or it may be even beyond reality, would be no better than an empty name. Ideality only has a meaning when it is the ideality of something: but this something is not a mere indefinite this or that, but existence characterised as reality, which, if retained in isolation, possesses no truth. The distinction between Nature and Mind is not improperly conceived, when the former is traced back to reality, and the latter to ideality as a fundamental category. Nature however is far from being so fixed and complete, as to subsist even without Mind: in Mind it first, as it were, attains its goal and its truth. And similarly, Mind on its part is not merely a world beyond Nature and nothing more: it is really, and with full proof, seen to be mind, only when it involves Nature as absorbed in itself.—Apropos of this, we should note the double meaning of the German word aufheben (to put by, or set aside). We mean by it (1) to clear away, or annul: thus, we say, a law or a regulation is set aside: (2) to keep, or preserve: in which sense we use it when we say: something is well put by. This double usage of language, which gives to the same word a positive and negative meaning, is not an accident, and gives no ground for reproaching language as a cause of confusion. We should rather recognise in it the speculative spirit of our language rising above the mere 'Either—or' of understanding.

97.] (β) The relation of the negative to itself is a negative relation, and so a distinguishing of the One from itself, the repulsion of the One; that is, it makes Many Ones. So far as regards the immediacy of the self-existents, these Many are: and the repulsion of every One of them becomes to that extent their repulsion against each other as existing units,—in other words, their reciprocal exclusion.