The Logic of Hegel

by Georg Wilhelm Friedrich Hegel

Difference implicit or essential gives the maxim, Everything is essentially distinct; or, as it has also been expressed, Of two opposite predicates the one only can be assigned to anything, and there is no third possible. This maxim of Contrast or Opposition most expressly controverts the maxim of Identity: the one says a thing should be only self-relation, the other says that it must be an opposite, a relation to its other. The native unintelligence of abstraction betrays itself by setting in juxtaposition two contrary maxims, like these, as laws, without even so much as comparing them.—The Maxim of Excluded Middle is the maxim of the definite understanding, which would fain avoid contradiction, but in so doing falls into it. A must be either + A or - A, it says. It virtually declares in these words a third A which is neither + nor—, and which at the same time is yet invested with + and - characters. If + W mean 6 miles to the West, and - W mean 6 miles to the East, and if the + and - cancel each other, the 6 miles of way or space remain what they were with and without the contrast. Even the mere plus and minus of number or abstract direction have, if we like, zero, for their third: but it need not be denied that the empty contrast, which understanding institutes between plus and minus, is not without its value in such abstractions as number, direction, &c.

In the doctrine of contradictory concepts, the one notion is, say, blue (for in this doctrine even the sensuous generalised image of a colour is called a notion) and the other not-blue. This other then would not be an affirmative, say, yellow, but would merely be kept at the abstract negative.—That the Negative in its own nature is quite as much Positive (see next §), is implied in saying that what is opposite to another is its other. The inanity of the opposition between what are called contradictory notions is fully exhibited in what we may call the grandiose formula of a general law, that Everything has the one and not the other of all predicates which are in such opposition. In this way, mind is either white or not-white, yellow or not-yellow, &c., ad infinitum.

It was forgotten that Identity and Opposition are themselves opposed, and the maxim of Opposition was taken even for that of Identity, in the shape of the principle of Contradiction. A notion, which possesses neither or both of two mutually contradictory marks, e.g. a quadrangular circle, is held to be logically false. Now though a multangular circle and a rectilineal arc no less contradict this maxim, geometers never hesitate to treat the circle as a polygon with rectilineal sides. But anything like a circle (that is to say its mere character or nominal definition) is still no notion. In the notion of a circle, centre and circumference are equally essential: both marks belong to it: and yet centre and circumference are opposite and contradictory to each other.

The conception of Polarity, which is so dominant in physics, contains by implication the more correct definition of Opposition. But physics for its theory of the laws of thought adheres to the ordinary logic; it might therefore well be horrified in case it should ever work out the conception of Polarity, and get at the thoughts which are implied in it.

(1) With the positive we return to identity, but in its higher truth as identical self-relation, and at the same time with the note that it is not the negative. The negative per se is the same as difference itself. The identical as such is primarily the yet uncharacterised: the positive on the other hand is what is self-identical, but with the mark of antithesis to an other. And the negative is difference as such, characterised as not identity. This is the difference of difference within its own self.

Positive and negative are supposed to express an absolute difference. The two however are at bottom the same: the name of either might be transferred to the other. Thus, for example, debts and assets are not two particular, self-subsisting species of property. What is negative to the debtor, is positive to the creditor. A way to the east is also a way to the west. Positive and negative are therefore intrinsically conditioned by one another, and are only in relation to each other. The north pole of the magnet cannot be without the south pole, and vice versâ. If we cut a magnet in two, we have not a north pole in one piece, and a south pole in the other. Similarly, in electricity, the positive and the negative are not two diverse and independent fluids. In opposition, the different is not confronted by any other, but by its other. Usually we regard different things as unaffected by each other. Thus we say: I am a human being, and around me are air, water, animals, and all sorts of things. Everything is thus put outside of every other. But the aim of philosophy is to banish indifference, and to ascertain the necessity of things. By that means the other is seen to stand over against its other. Thus, for example, inorganic nature is not to be considered merely something else than organic nature, but the necessary antithesis of it. Both are in essential relation to one another; and the one of the two is, only in so far as it excludes the other from it, and thus relates itself thereto. Nature in like manner is not without mind, nor mind without nature. An important step has been taken, when we cease in thinking to use phrases like: Of course something else is also possible. While we so speak, we are still tainted with contingency: and all true thinking, we have already said, is a thinking of necessity.

In modern physical science the opposition, first observed to exist in magnetism as polarity, has come to be regarded as a universal law pervading the whole of nature. This would be a real scientific advance, if care were at the same time taken not to let mere variety revert without explanation, as a valid category, side by side with opposition. Thus at one time the colours are regarded as in polar opposition to one another, and called complementary colours: at another time they are looked at in their indifferent and merely quantitative difference of red, yellow, green, &c.

(2) Instead of speaking by the maxim of Excluded Middle (which is the maxim of abstract understanding) we should rather say: Everything is opposite. Neither in heaven nor in earth, neither in the world of mind nor of nature, is there anywhere such an abstract 'Either—or' as the understanding maintains. Whatever exists is concrete, with difference and opposition in itself. The finitude of things will then lie in the want of correspondence between their immediate being, and what they essentially are. Thus, in inorganic nature, the acid is implicitly at the same time the base: in other words, its only being consists in its relation to its other. Hence also the acid is not something that persists quietly in the contrast: it is always in effort to realise what it potentially is. Contradiction is the very moving principle of the world: and it is ridiculous to say that contradiction is unthinkable. The only thing correct in that statement is that contradiction is not the end of the matter, but cancels itself. But contradiction, when cancelled, does not leave abstract identity; for that is itself only one side of the contrariety. The proximate result of opposition (when realised as contradiction) is the Ground, which contains identity as well as difference superseded and deposed to elements in the completer notion.

120.] Contrariety then has two forms. The Positive is the aforesaid various (different) which is understood to be independent, and yet at the same not to be unaffected by its relation to its other. The Negative is to be, no less independently, negative self-relating, self-subsistent, and yet at the same time as Negative must on every point have this its self-relation, i.e. its Positive, only in the other. Both Positive and Negative are therefore explicit contradiction; both are potentially the same. Both are so actually also; since either is the abrogation of the other and of itself. Thus they fall to the Ground.—Or as is plain, the essential difference, as a difference, is only the difference of it from itself, and thus contains the identical: so that to essential and actual difference there belongs itself as well as identity. As self-relating difference it is likewise virtually enunciated as the self-identical. And the opposite is in general that which includes the one and its other, itself and its opposite. The immanence of essence thus defined is the Ground.