(α) Qualitative Syllogism.
183.] The first syllogism is a syllogism of definite being,—a Qualitative Syllogism, as stated in the last paragraph. Its form (1) is I—P—U: i.e. a subject as Individual is coupled (concluded) with a Universal character by means of a (Particular) quality.
Of course the subject (terminus minor) has other characteristics besides individuality, just as the other extreme (the predicate of the conclusion, or terminus major) has other characteristics than mere universality. But here the interest turns only on the characteristics through which these terms make a syllogism.
The syllogism of existence is a syllogism of understanding merely, at least in so far as it leaves the individual, the particular, and the universal to confront each other quite abstractly. In this syllogism the notion is at the very height of self-estrangement. We have in it an immediately individual thing as subject: next some one particular aspect or property attaching to this subject is selected, and by means of this property the individual turns out to be a universal. Thus we may say, This rose is red: Red is a colour: Therefore, this rose is a coloured object. It is this aspect of the syllogism which the common logics mainly treat of. There was a time when the syllogism was regarded as an absolute rule for all cognition, and when a scientific statement was not held to be valid until it had been shown to follow from a process of syllogism. At present, on the contrary, the different forms of the syllogism are met nowhere save in the manuals of Logic; and an acquaintance with them is considered a piece of mere pedantry, of no further use either in practical life or in science. It would indeed be both useless and pedantic to parade the whole machinery of the formal syllogism on every occasion. And yet the several forms of syllogism make themselves constantly felt in our cognition. If any one, when awaking on a winter morning, hears the creaking of the carriages on the street, and is thus led to conclude that it has frozen hard in the night, he has gone through a syllogistic operation:—an operation which is every day repeated under the greatest variety of conditions. The interest, therefore, ought at least not to be less in becoming expressly conscious of this daily action of our thinking selves, than confessedly belongs to the study of the functions of organic life, such as the processes of digestion, assimilation, respiration, or even the processes and structures of the nature around us. We do not, however, for a moment deny that a study of Logic is no more necessary to teach us how to draw correct conclusions, than a previous study of anatomy and physiology is required in order to digest or breathe.
Aristotle was the first to observe and describe the different forms, or, as they are called, figures of syllogism, in their subjective meaning: and he performed his work so exactly and surely, that no essential addition has ever been required. But while sensible of the value of what he has thus done, we must not forget that the forms of the syllogism of understanding, and of finite thought altogether, are not what Aristotle has made use of in his properly philosophical investigations. (See § 189.)
184.] This syllogism is completely contingent (α) in the matter of its terms. The Middle Term, being an abstract particularity, is nothing but any quality whatever of the subject: but the subject, being immediate and thus empirically concrete, has several others, and could therefore be coupled with exactly as many other universalities as it possesses single qualities. Similarly a single particularity may have various characters in itself, so that the same medius terminus would serve to connect the subject with several different universals.
It is more a caprice of fashion, than a sense of its incorrectness, which has led to the disuse of ceremonious syllogising. This and the following section indicate the uselessness of such syllogising for the ends of truth.
The point of view indicated in the paragraph shows how this style of syllogism can 'demonstrate' (as the phrase goes) the most diverse conclusions. All that is requisite is to find a medius terminus from which the transition can be made to the proposition sought. Another medius terminus would enable us to demonstrate something else, and even the contrary of the last. And the more concrete an object is, the more aspects it has, which may become such middle terms. To determine which of these aspects is more essential than another, again, requires a further syllogism of this kind, which fixing on the single quality can with equal ease discover in it some aspect or consideration by which it can make good its claims to be considered necessary and important.
Little as we usually think on the Syllogism of Understanding in the daily business of life, it never ceases to play its part there. In a civil suit, for instance, it is the duty of the advocate to give due force to the legal titles which make in favour of his client. In logical language, such a legal title is nothing but a middle term. Diplomatic transactions afford another illustration of the same, when, for instance, different powers lay claim to one and the same territory. In such a case the laws of inheritance, the geographical position of the country, the descent and the language of its inhabitants, or any other ground, may be emphasised as a medius terminus.
185.] (ß) This syllogism, if it is contingent in point of its terms, is no less contingent in virtue of the form of relation which is found in it. In the syllogism, according to its notion, truth lies in connecting two distinct things by a Middle Term in which they are one. But connexions of the extremes with the Middle Term (the so-called premisses, the major and the minor premiss) are in the case of this syllogism much more decidedly immediate connexions. In other words, they have not a proper Middle Term.