Universal (logic)

“ It is as 'all' that the universal is in the first instance generally encountered by reflection. The individuals form for reflection the foundation, and it is only our subjective action which collects and describes them as 'all.' So far the universal has the aspect of an external fastening, that holds together a number of independent individuals, which have not the least affinity towards it. This semblance of indifference is however unreal: for the universal is the ground and foundation, the root, and substance of the individual. ”

“ We shall fall into no error, then, if in treating of Induction, we limit our attention to the establishment of general propositions. The principles and rules of Induction as directed to this end, are the principles and rules of all Induction; and the logic of Science is the universal Logic, applicable to all inquiries in which man can engage. ”

“ When every logic text-book discusses the theory of the general concept, and easily passes by, with a mere mention, the knowledge of the individual, this is because your knowledge of the individual is supposed to be something relatively so clear and familiar to you that the logician need analyse hardly at all what you mean by that knowledge. “Does not everybody know? Why, you yourself are an individual!” It is of the universal that the logician must speak, because that seems to be something artificial, abstract, an invention of language and of science. ”

“ Formal logic similarly dissects the spirit into its parts, makes distinctions between conceptions, ideas, judgments, conclusions, divides these into subdivisions, classifies conceptions according to species, separates abstract and concrete thought, knows many varieties of judgments, registers three, four, or more modes of conclusion. But at the same time this formal logic recoils from touching on the question as to how the universal spirit is related to the universe, what role it plays in the general existence, whether it is part and parcel of nature or transcendental. ”

“ It is not necessary even to the perfection of a science, that the corresponding art should possess universal, or even general, rules. The phenomena of society might not only be completely dependent on known causes, but the mode of action of all those causes might be reducible to laws of considerable simplicity, and yet no two cases might admit of being treated in precisely the same manner. ”

“ Often, too, a system, of which the principle is the universal, is put on a level with another of which the principle is a particular, and with theories which deny the existence of philosophy altogether. Such systems are said to be only different views of philosophy. ”

“ To require such a scepticism accomplished is the same as to insist on science being preceded by universal doubt, or a total absence of presupposition. Strictly speaking, in the resolve that wills pure thought, this requirement is accomplished by freedom which, abstracting from everything, grasps its pure abstraction, the simplicity of thought. ”

“ Thus, when it is affirmed that “Man is mortal,” nobody doubts that the assertion is intended of all human beings, and the word indicative of universality is commonly omitted, only because the meaning is evident without it. In the proposition, “Wine is good,” it is understood with equal readiness, though for somewhat different reasons, that the assertion is not intended to be universal, but particular.
When a general name stands for each and every individual which it is a name of, or in other words, which it denotes, it is said by logicians to be distributed, or taken distributively. ”

“ When it is presented in this light, thought has a different part to play from what it has if we speak of a faculty of thought, one among a crowd of other faculties, such as perception, conception and will, with which it stands on the same level. When it is seen, to be the true universal of all that nature and mind contain, it extends its scope far beyond all these, and becomes the basis of everything. ”

“ The universality moulded by Reason, and described as the absolute and final end or the Good, would be realised in the world, and realised moreover by means of a third thing, the power which proposes this End as well as realises it,—that is, God. Thus in Him, who is the absolute truth, those oppositions of universal and individual, subjective and objective, are solved and explained to be neither self-subsistent nor true. ”

“ In other words, mankind have not one universal character, but there exist universal laws of the Formation of Character. And since it is by these laws, combined with the facts of each particular case, that the whole of the phenomena of human action and feeling are produced, it is on these that every rational attempt to construct the science of human nature in the concrete, and for practical purposes, must proceed. ”

“ From what has been said the principles of logic are to be sought in a system of thought-types or fundamental categories, in which the opposition between subjective and objective, in its usual sense, vanishes. The signification thus attached to thought and its characteristic forms may be illustrated by the ancient saying that 'νοῧς governs the world,' or by our own phrase that 'Reason is in the world: which means that Reason is the soul of the world it inhabits, its immanent principle, its most proper and inward nature, its universal. ”

“ Now in the 'Ego' there are a variety of contents, derived both from within and from, without, and according to the nature of these contents our state may be described as perception, or conception, or reminiscence. But in all of them the 'I' is found: or in them all thought is present. Man, therefore, is always thinking, even in his perceptions: if he observes anything, he always observes it as a universal, fixes on a single point which he places in relief, thus withdrawing his attention from other points, and takes it as abstract and universal, even if the universality be only in form. ”

“ But its true content is only the whole system of which we have been hitherto studying the development. It may also be said in this strain that the absolute idea is the universal, but the universal not merely as an abstract form to which the particular content is a stranger, but as the absolute form, into which all the categories, the whole fullness of the content it has given being to, have retired. The absolute idea may in this respect be compared to the old man who utters the same creed as the child, but for whom it is pregnant with the significance of a lifetime. ”

“ In other words, the science of Human Nature may be said to exist in proportion as the approximate truths, which compose a practical knowledge of mankind, can be exhibited as corollaries from the universal laws of human nature on which they rest; whereby the proper limits of those approximate truths would be shown, and we should be enabled to deduce others for any new state of circumstances, in anticipation of specific experience. ”

“ And in truth it never does exist, except as the result of experience. Consenting, for the sake of the argument, to discuss the question on a supposition of which we have recognized the radical incorrectness, namely, that the meaning of a proposition relates to the ideas of the things spoken of, and not to the things themselves; I must yet observe, that the idea of man, as a universal idea, the common property of all rational creatures, can not involve any thing but what is strictly implied in the name. ”

“ It is plain that there is no universal law operating here, except the law that each person’s conceptions are governed and limited by his individual experiences and habits of thought. We are warranted in saying of all three, what each of them already believes of the other two, namely, that they exalt into an original law of the human intellect and of outward nature one particular sequence of phenomena, which appears to them more natural and more conceivable than other sequences, only because it is more familiar. ”

“ We discard the conception of the universal as a predicate applicable to a plurality, or even to all, of the members of a group. To know merely κατὰ παντὸς is not to know, save accidentally. The exhaustive judgment, if attainable, could not be known to be exhaustive. The universal is the ground of the empirical “all” and not conversely. ”

“ So great might be the variety of circumstances on which the results in different cases depend, that the art might not have a single general precept to give, except that of watching the circumstances of the particular case, and adapting our measures to the effects which, according to the principles of the science, result from those circumstances. But although, in so complicated a class of subjects, it is impossible to lay down practical maxims of universal application, it does not follow that the phenomena do not conform to universal laws. ”

“ But Mind is Mind only when it is mediated through nature. Then, in the second place, Mind, which we know as the principle of individuality, or as the actualising principle, is the mean; and Nature and the Logical Idea are the extremes. It is Mind which cognises the Logical Idea in Nature and which thus raises Nature to its essence. In the third place again the Logical Idea itself becomes the mean: it is the absolute substance both of mind and of nature, the universal and all-pervading principle. These are the members of the Absolute Syllogism. ”

“ When it means immediate being, the beginning is taken from sensation and perception—the initial stage in the analytical method of finite cognition. When it means universality, it is the beginning of the synthetic method. But since the Logical Idea is as much a universal as it is in being—since it is pre-supposed by the notion as much as it itself immediately is, its beginning is a synthetical as well as an analytical beginning. ”

“ In rising, however, from particular to universal inference, induction, as we have seen, adds to its particular premise, S is P, a universal premise, every M is similar to S, in order to infer the universal conclusion, every M is P. This universal premise requires a universal conception of a class or whole number of similar particulars, as a condition. But the premise is not that conception; it is a belief that there is a whole number of particulars similar to those already experienced. ”

“ There, too, man has the belief in the sway of a general principle.—From all these examples it may be gathered how reflection is always seeking for something fixed and permanent, definite in itself and governing the particulars. This universal which cannot be apprehended by the senses counts as the true and essential. Thus, duties and rights are all-important in the matter of conduct: and an action is true when it conforms to those universal formulae. ”

“ So far was this carried, that even concrete general terms were supposed to be, not names of indefinite numbers of individual substances, but names of a peculiar kind of entities termed Universal Substances. Because we can think and speak of man in general, that is, of all persons in so far as possessing the common attributes of the species, without fastening our thoughts permanently on some one individual person; therefore man in general was supposed to be, not an aggregate of individual persons, but an abstract or universal man, distinct from these. ”

“ A common term or class-name was known to mediæval logicians under the title of a Universal; and it was on the question 'What is a Universal 7' that they split into the three schools of Realists, Nominalists, and Conceptualists. Here are the answers of the three schools to this question in their most exaggerated form—
§ 49. Universals, said the Realists, are substances having an independent existence in nature.
§ 50. Universals, said the Nominalists, are a mere matter of words, the members of what we call a class having nothing in common but the name. ”

“ Awareness of universals is called conceiving, and a universal of which we are aware is called a concept. ”

“ But our definition was, so far, incomplete. The world of pure ideas is full of segmentation and of contrast; yet good and evil, beauty and ugliness, man in general and angel in general, although segmented, are not individuals. We need further to know, how the individual is contrasted with the universal. Now we get an answer. The logical individual, as contrasted with logical universal, is the object incapable of logical division ”

“ This is why the true universal judgment has long been seen by logicians to be essentially hypothetical, and why, again, thought or knowledge always appears to the common-sense man to be dealing with realities which have previously been given independently of the “work of the mind.” ”

“ When we confuse the logical and non-logical87 operations of these processes the result is either that logical processes will merely repeat non-logical operations in which case we have inference that is tautologous and trifling; or the non-logical will attempt to perform logical operations, and our inference is miraculous. If we seek to escape by an appeal to habit, as in empiricism, or to an objective universal, as in idealism and neo-realism, we are merely disguising, not removing the miracle. ”

“ The maxims derived from this study may be called maxims of abstract or absolute right; they are not absolutely universal, ‘eternal and immutable,’ but they are independent of the individual, and practically universal for the present condition of the human species. ”