The Logic of Hegel

by Georg Wilhelm Friedrich Hegel

Whenever we speak of the One, the Many usually come into our mind at the same time. Whence, then, we are forced to ask, do the Many come? This question is unanswerable by the consciousness which pictures the Many as a primary datum, and-treats the One as only one among the Many. But the philosophic notion teaches, contrariwise, that the One forms the pre-supposition of the Many: and in the thought of the One is implied that it explicitly make itself Many. The self-existing unit is not, like Being, void of all connective reference: it is a reference, as well as Being-there-and-then was, not however a reference connecting somewhat with an other, but, as unity of the some and the other, it is a connexion with itself, and this connexion be it noted is a negative connexion. Hereby the One manifests an utter incompatibility with itself, a self-repulsion: and what it makes itself explicitly be, is the Many. We may denote this side in the process of Being-for-self by the figurative term Repulsion. Repulsion is a term originally employed in the study of matter, to mean that matter, as a Many, in each of these many Ones, behaves as exclusive to all the others. It would be wrong however to view the process of repulsion, as if the One were the repellent and the Many the repelled. The One, as already remarked, just is self-exclusion and explicit putting itself as the Many. Each of the Many however is itself a One, and in virtue of its so behaving, this all-round repulsion is by one stroke converted into its opposite,—Attraction.

98.] (γ) But the Many are one the same as another: each is One, or even one of the Many; they are consequently one and the same. Or when we study all that Repulsion involves, we see that as a negative attitude of many Ones to one another, it is just as essentially a connective reference of them to each other; and as those to which the One is related in its act of repulsion are ones, it is in them thrown into relation with itself. The repulsion therefore has an equal right to be called Attraction; and the exclusive One, or Being-for-self, suppresses itself. The qualitative character, which in the One or unit has reached the extreme point of its characterisation, has thus passed over into determinateness (quality) suppressed, i.e. into Being as Quantity.

The philosophy of the Atomists is the doctrine in which the Absolute is formulated as Being-for-self, as One, and many ones. And it is the repulsion, which shows itself in the notion of the One, which is assumed as the fundamental force in these atoms. But instead of attraction, it is Accident, that is, mere unintelligence, which is expected to bring them together. So long as the One is fixed as one, it is certainly impossible to regard its congression with others as anything but external and mechanical. The Void, which is assumed as the complementary principle to the atoms, is repulsion and nothing else, presented under the image of the nothing existing between the atoms.—Modern Atomism—and physics is still in principle atomistic—has surrendered the atoms so far as to pin its faith on molecules or particles. In so doing, science has come closer to sensuous conception, at the cost of losing the precision of thought.—To put an attractive by the side of a repulsive force, as the moderns have done, certainly gives completeness to the contrast: and the discovery of this natural force, as it is called, has been a source of much pride. But the mutual implication of the two, which makes what is true and concrete in them, would have to be wrested from the obscurity and confusion in which they were left even in Kant's Metaphysical Rudiments of Natural Science.—In modern times the importance of the atomic theory is even more evident in political than in physical science. According to it, the will of individuals as such is the creative principle of the State: the attracting force is the special wants and inclinations of individuals; and the Universal, or the State itself, is the external nexus of a compact.

The Atomic philosophy forms a vital stage in the historical evolution of the Idea. The principle of that system may be described as Being-for-self in the shape of the Many. At present, students of nature who are anxious to avoid metaphysics turn a favourable ear to Atomism. But it is not possible to escape metaphysics and cease to trace nature back to terms of thought, by throwing ourselves into the arms of Atomism. The atom, in fact, is itself a thought; and hence the theory which holds matter to consist of atoms is a metaphysical theory. Newton gave physics an express warning to beware of metaphysics, it is true; but, to his honour be it said, he did not by any means obey his own warning. The only mere physicists are the animals: they alone do not think: while man is a thinking being and a born metaphysician. The real question is not whether we shall apply metaphysics, but whether our metaphysics are of the right kind: in other words, whether we are not, instead of the concrete logical Idea, adopting one-sided forms of thought, rigidly fixed by understanding, and making these the basis of our theoretical as well as our practical work. It is on this ground that one objects to the Atomic philosophy. The old Atomists viewed the world as a many, as their successors often do to this day. On chance they laid the task of collecting the atoms which float about in the void. But, after all, the nexus binding the many with one another is by no means a mere accident: as we have already remarked, the nexus is founded on their very nature. To Kant we owe the completed theory of matter as the unity of repulsion and attraction. The theory is correct, so far as it recognises attraction to be the other of the two elements involved in the notion of Being-for-self: and to be an element no less essential than repulsion to constitute matter. Still this dynamical construction of matter, as it is termed, has the fault of taking for granted, instead of deducing, attraction and repulsion. Had they been deduced, we should then have seen the How and the Why of a unity which is merely asserted. Kant indeed was careful to inculcate that Matter must not be taken to be in existence per se, and then as it were incidentally to be provided with the two forces mentioned, but must be regarded as consisting solely in their unity. German physicists for some time accepted this pure dynamic. But in spite of this, the majority of these physicists i n modern times have found it more convenient to return to the Atomic point of view, and in spite of the warnings of Kästner, one of their number, have begun to regard Matter as consisting of infinitesimally small particles, termed 'atoms'—which atoms have then to be brought into relation with one another by the play of forces attaching to them,—attractive, repulsive, or whatever they may be. This too is metaphysics; and metaphysics which, for its utter unintelligence, there would be sufficient reason to guard against.

(2) The transition from Quality to Quantity, indicated in the paragraph before us, is not found in our ordinary way of thinking, which deems each of these categories to exist independently beside the other. We are in the habit of saying that things are not merely qualitatively, but also quantitatively defined; but whence these categories originate, and how they are related to each other, are questions not further examined. The fact is, quantity just means quality superseded and absorbed: and it is by the dialectic of quality here examined that this supersession is effected. First of all, we had Being: as the truth of Being, came Becoming: which formed the passage to Being Determinate: and the truth of that we found to be Alteration. And in its result Alteration showed itself to be Being-for-self, exempt from implication of another and from passage into another;—which Being-for-self, finally, in the two sides of its process, Repulsion and Attraction, was clearly seen to annul itself, and thereby to annul quality in the totality of its stages. Still this superseded and absorbed quality is neither an abstract nothing, nor an equally abstract and featureless being: it is only being as indifferent to determinateness or character. This aspect of being is also what appears as quantity in our ordinary conceptions. We observe things, first of all, with an eye to their quality—which we take to be the character identical with the being of the thing. If we proceed to consider their quantity, we get the conception of an indifferent and external character or mode, of such a kind that a thing remains what it is, though its quantity is altered, and the thing becomes greater or less.

B.—QUANTITY.

(α) Pure Quantity.

99.] Quantity is pure being, where the mode or character is no longer taken as one with the being itself, but explicitly put as superseded or indifferent.

(1) The expression Magnitude especially marks determinate Quantity, and is for that reason not a suitable name for Quantity in general. (2) Mathematics usually define magnitude as what can be increased or diminished. This definition has the defect of containing the thing to be defined over again: but it may serve to show that the category of magnitude is explicitly understood to be changeable and indifferent, so that, in spite of its being altered by an increased extension or intension, the thing, a house, for example, does not cease to be a house, and red to be red. (3) The Absolute is pure Quantity. This point of view is upon the whole the same as when the Absolute is defined to be Matter, in which, though form undoubtedly is present, the form is a characteristic of no importance one way or another. Quantity too constitutes the main characteristic of the Absolute, when the Absolute is regarded as absolute indifference, and only admitting of quantitative distinction.—Otherwise pure space, time, &c. may be taken as examples of Quantity, if we allow ourselves to regard the real as whatever fills up space and time, it matters not with what.