The Logic of Hegel

by Georg Wilhelm Friedrich Hegel

(β) Syllogism of Reflection.

190.] If the mean, in the first place, be not only an abstract particular character of the subject, but at the same time all the individual concrete subjects which possess that character, but possess it only along with others, (1) we have the Syllogism of Allness. The major premiss, however, which has for its subject the particular character, the terminus medius, as allness, pre-supposes the very conclusion which ought rather to have pre-supposed it. It rests therefore (2) on an Induction, in which the mean is given by the complete list of individuals as such,—a, b, c, d, &c. On account of the disparity, however, between universality and an immediate and empirical individuality, the list can never be complete. Induction therefore rests upon (3) Analogy. The middle term of Analogy is an individual, which however is understood as equivalent to its essential universality, its genus, or essential character.—The first syllogism for its intermediation turns us over to the second, and the second turns us over to the third. But the third no less demands an intrinsically determinate Universality, or an individuality as type of the genus, after the round of the forms of external connexion between individuality and universality has been run through in the figures of the Reflective Syllogism.

By the Syllogism of Allness the defect in the first form of the Syllogism of Understanding, noted in § 184, is remedied, but only to give rise to a new defect. This defect is that the major premiss itself pre-supposes what really ought to be the conclusion, and pre-supposes it as what is thus an 'immediate' proposition. All men are mortal, therefore Caius is mortal: All metals conduct electricity, therefore e.g. copper does so. In order to enunciate these major premisses, which when they say 'all' mean the 'immediate' individuals and are properly intended to be empirical propositions, it is requisite that the propositions about the individual man Caius, or the individual metal copper, should previously have been ascertained to be correct. Everybody feels not merely the pedantry, but the unmeaning formalism of such syllogisms as: All men are mortal, Caius is a man, therefore Caius is mortal.

The syllogism of Allness hands us over to the syllogism of Induction, in which the individuals form the coupling mean. 'All metals conduct electricity,' is an empirical proposition derived from experiments made with each of the individual metals. We thus get the syllogism of Induction in the following shape

I
P—I—U
I
.
.

Gold is a metal: silver is a metal: so is copper, lead, &c. This is the major premiss. Then comes the minor premiss: All these bodies conduct electricity; and hence results the conclusion, that all metals conduct electricity. The point which brings about a combination here is individuality in the shape of allness. But this syllogism once more hands us over to another syllogism. Its mean is constituted by the complete list of the individuals. That pre-supposes that over a certain region observation and experience are completed. But the things in question here are individuals; and so again we are landed in the progression ad infinitum (i, i, i, &c.). In other words, in no Induction can we ever exhaust the individuals. The 'all metals,' 'all plants,' of our statements, mean only all the metals, all the plants, which we have hitherto become acquainted with. Every Induction is consequently imperfect. One and the other observation, many it may be, have been made: but all the cases, all the individuals, have not been observed. By this defect of Induction we are led on to Analogy. In the syllogism of Analogy we conclude from the fact that some things of a certain kind possess a certain quality, that the same quality is possessed by other things of the same kind. It would be a syllogism of Analogy, for example, if we said: In all planets hitherto discovered this has been found to be the law of motion, consequently a newly discovered planet will probably move according to the same law. In the experiential sciences Analogy deservedly occupies a high place, and has led to results of the highest importance. Analogy is the instinct of reason, creating an anticipation that this or that characteristic, which experience has discovered, has its root in the inner nature or kind of an object, and arguing on the faith of that anticipation. Analogy it should be added may be superficial or it may be thorough. It would certainly be a very bad analogy to argue that since the man Caius is a scholar, and Titus also is a man, Titus will probably be a scholar too: and it would be bad because a man's learning is not an unconditional consequence of his manhood. Superficial analogies of this kind however are very frequently met with. It is often argued, for example: The earth is a celestial body, so is the moon, and it is therefore in all probability inhabited as well as the earth. The analogy is not one whit better than that previously mentioned. That the earth is inhabited does not depend on its being a celestial body, but in other conditions, such as the presence of an atmosphere, and of water in connexion with the atmosphere, &c.: and these are precisely the conditions which the moon, so far as we know, does not possess. What has in modern times been called the Philosophy of Nature consists principally in a frivolous play with empty and external analogies, which, however, claim to be considered profound results. The natural consequence has been to discredit the philosophical study of nature.

(γ) Syllogism of Necessity.

191.] The Syllogism of Necessity, if we look to its purely abstract characteristics or terms, has for its mean the Universal in the same way as the Syllogism of Reflection has the Individual, the latter being in the second, and the former in the third figure (§ 187). The Universal is expressly put as in its very nature intrinsically determinate. In the first place (1) the Particular, meaning by the particular the specific genus or species, is the term for mediating the extremes—as is done in the Categorical syllogism. (2) The same office is performed by the Individual, taking the individual as immediate being, so that it is as much mediating as mediated:—as happens in the Hypothetical syllogism. (3) We have also the mediating Universal explicitly put as a totality of its particular members, and as a single particular, or exclusive individuality:—which happens in the Disjunctive syllogism. It is one and the same universal which is in these terms of the Disjunctive syllogism; they are only different forms for expressing it.

192.] The syllogism has been taken conformably to the distinctions which it contains; and the general result of the course of their evolution has been to show that these differences work out their own abolition and destroy the notion's outwardness to its own self. And, as we see, in the first place, (1) each of the dynamic elements has proved itself the systematic whole of these elements, in short a whole syllogism,—they are consequently implicitly identical. In the second place, (2) the negation of their distinctions and of the mediation of one through another constitutes independency; so that it is one and the same universal which is in these forms, and which is in this way also explicitly put as their identity. In this ideality of its dynamic elements, the syllogistic process may be described as essentially involving the negation of the characters through which its course runs, as being a mediative process through the suspension of mediation,—as coupling the subject not with another, but with a suspended other, in one word, with itself.