The Logic of Hegel

by Georg Wilhelm Friedrich Hegel

To ask, 'How Identity comes to Difference,' assumes that Identity as mere abstract Identity is something of itself, and Difference also something else equally independent. This supposition renders an answer to the question impossible. If Identity is viewed as diverse from Difference, all that we have in this way is but Difference; and hence we cannot demonstrate the advance to difference, because the person who asks for the How of the progress thereby implies that for him the starting-point is non-existent. The question then when put to the test has obviously no meaning, and its proposer may be met with the question what he means by Identity; whereupon we should soon see that he attaches no idea to it at all, and that Identity is for him an empty name. As we have seen, besides, Identity is undoubtedly a negative,—not however an abstract empty Nought, but the negation of Being and its characteristics. Being so, Identity is at the same time self-relation, and, what is more, negative self-relation; in other words, it draws a distinction between it and itself.

117.] Difference is, first of all, (1) immediate difference, i.e. Diversity or Variety. In Diversity the different things are each individually what they are, and unaffected by the relation in which they stand to each other. This relation is therefore external to them. In consequence of the various things being thus indifferent to the difference between them, it falls outside them into a third thing, the agent of Comparison. This external difference, as an identity of the objects related, is Likeness; as a non-identity of them, is Unlikeness.

The gap which understanding allows to divide these characteristics, is so great, that although comparison has one and the same substratum for likeness and unlikeness, which are explained to be different aspects and points of view in it, still likeness by itself is the first of the elements alone, viz. identity, and unlikeness by itself is difference.

Diversity has, like Identity, been transformed into a maxim: 'Everything is various or different': or,'There are no two things completely like each other.' Here Everything is put under a predicate, which is the reverse of the identity attributed to it in the first maxim; and therefore under a law contradicting the first. However there is an explanation. As the diversity is supposed due only to external comparison, anything taken per se is expected and understood always to be identical with itself, so that the second law need not interfere with the first. But, in that case, variety does not belong to the something or everything in question: it constitutes no intrinsic characteristic of the subject: and the second maxim on this showing does not admit of being stated at all. If, on the other hand, the something itself is as the maxim says diverse, it must be in virtue of its own proper character: but in this case the specific difference, and not variety as such, is what is intended. And this is the meaning of the maxim of Leibnitz.

When understanding sets itself to study Identity, it has already passed beyond it, and is looking at Difference in the shape of bare Variety. If we follow the so-called law of Identity, and say,—The sea is the sea, The air is the air, The moon is the moon, these objects pass for having no bearing on one another. What we have before us therefore is not Identity, but Difference. We do not stop at this point however, or regard things merely as different. We compare them one with another, and thus discover the features of likeness and unlikeness. The work of the finite sciences lies to a great extent in the application of these categories, and the phrase 'scientific treatment' generally means no more than the method which has for its aim comparison of the objects under examination. This method has undoubtedly led to some important results;—we may particularly mention the great advance of modern times in the provinces of comparative anatomy and comparative linguistic. But it is going too far to suppose that the comparative method can be employed with equal success in all branches of knowledge. Nor—and this must be emphasised—can mere comparison ever ultimately satisfy the requirements of science. Its results are indeed indispensable, but they are still labours only preliminary to truly intelligent cognition.

If it be the office of comparison to reduce existing differences to Identity, the science, which most perfectly fulfils that end, is mathematics. The reason of that is, that quantitative difference is only the difference which is quite external. Thus, in geometry, a triangle and a quadrangle, figures qualitatively different, have this qualitative difference discounted by abstraction, and are equalised to one another in magnitude. It follows from what has been formerly said about the mere Identity of understanding that, as has also been pointed out (§ 99, note), neither philosophy nor the empirical sciences need envy this superiority of Mathematics.

The story is told that, when Leibnitz propounded the maxim of Variety, the cavaliers and ladies of the court, as they walked round the garden, made efforts to discover two leaves indistinguishable from each other, in order to confute the law stated by the philosopher. Their device was unquestionably a convenient method of dealing with metaphysics,—one which has not ceased to be fashionable. All the same, as regards the principle of Leibnitz, difference must be understood to mean not an external and indifferent diversity merely, but difference essential. Hence the very nature of things implies that they must be different.

118.] Likeness is an Identity only of those things which are not the same, not identical with each other: and Unlikeness is a relation of things unlike. The two therefore do not fall on different aspects or points of view in the thing, without any mutual affinity: but one throws light into the other. Variety thus comes to be reflexive difference, or difference (distinction) implicit and essential, determinate or specific difference.

While things merely various show themselves unaffected by each other, likeness and unlikeness on the contrary are a pair of characteristics which are in completely reciprocal relation. The one of them cannot be thought without the other. This advance from simple variety to opposition appears in our common acts of thought, when we allow that comparison has a meaning only upon the hypothesis of an existing difference, and that on the other hand we can distinguish only on the hypothesis of existing similarity. Hence, if the problem be the discovery of a difference, we attribute no great cleverness to the man who only distinguishes those objects, of which the difference is palpable, e.g. a pen and a camel: and similarly, it implies no very advanced faculty of comparison, when the objects compared, e.g. a beech and an oak, a temple and a church, are near akin. In the case of difference, in short, we like to sec identity, and in the case of identity we like to see difference. Within the range of the empirical sciences however, the one of these two categories is often allowed to put the other out of sight and mind. Thus the scientific problem at one time is to reduce existing differences to identity; on another occasion, with equal one-sidedness, to discover new differences. We see this especially in physical science. There the problem consists, in the first place, in the continual search for new 'elements,' new forces, new genera, and species. Or, in another direction, it seeks to show that all bodies hitherto believed to be simple are compound: and modern physicists and chemists smile at the ancients, who were satisfied with four elements, and these not simple. Secondly, and on the other hand, mere identity is made the chief question. Thus electricity and chemical affinity are regarded as the same, and even the organic processes of digestion and assimilation are looked upon as a mere chemical operation. Modern philosophy has often been nicknamed the Philosophy of Identity. But, as was already remarked (§ 103, note), it is precisely philosophy, and in particular speculative logic, which lays bare the nothingness of the abstract, undifferentiated identity, known to understanding; though it also undoubtedly urges its disciples not to rest at mere diversity, but to ascertain the inner unity of all existence.

119.] Difference implicit is essential difference, the Positive and the Negative: and that is this way. The Positive is the identical self-relation in such a way as not to be the Negative, and the Negative is the different by itself so as not to be the Positive. Thus either has an existence of its own in proportion as it is not the other. The one is made visible in the other, and is only in so far as that other is. Essential difference is therefore Opposition; according to which the different is not confronted by any other but by its other. That is, either of these two (Positive and Negative) is stamped with a characteristic of its own only in its relation to the other: the one is only reflected into itself as it is reflected into the other. And so with the other. Either in this way is the other's own other.