II. Form, which consists in the co-ordination of the substances, not in their subordination. For co-ordinates are to be regarded as mutual complements to a whole, subordinates as effect and cause, or generally, as principle and consequence. The former relation is reciprocal and homonymous, any correlate in respect to any other being considered as at once determining and determined. The latter is heteronymous; on the one hand dependence only, causality on the other. This co-ordination is conceived as real and objective, not as ideal, and resting in the mere pleasure of a subject making up a whole by the summation of any multiplicity whatever. For the grasping of several things can by no contrivance be made a whole of representation, nor, for that reason, a representation of the whole. Therefore, if there be any totals of substances connected by no bond, a grasping of them together, the mind forcing the multiplicity into ideal oneness, will be called nothing more than a plurality of worlds comprehended in a single thought. But the connection constituting the essential form of a world is looked upon as the principle of the possible influences of the substances composing that world. For an actual influence pertains not to essence but to state, and the transitive forces, the causes of the influences, suppose some principle by which it is possible that the states of several things in other respects existing independently of each other are mutually related as consequences, which principle being abandoned, the possibility of transitive force in a world is an illicit assumption. And, furthermore, this form essential to the world is on that account immutable, and exposed to no vicissitude whatever. It is so in the first place for a logical reason, since any change supposes the identity of the subject with determinations succeeding one another in turn. Hence the world, remaining the same world through all the states succeeding one another, preserves the same fundamental form. For it does not suffice to the identity of the whole that all the parts be identical, the identity of characteristic composition is required also. But it follows especially from a real cause. For the nature of the world, which is the primary inner principle of whatever variable determinations may pertain to its state, never by any possibility being opposite to itself, is naturally, that is, by itself, immutable; hence there is given in any world whatever some form ascribable to its nature, constant and invariable, as the perennial principle of any contingent and transitory form pertaining to the state of the world. They who hold this disquisition superfluous are confuted by the concepts of space and time, conditions, as it were, given by their very own selves and primitive, by whose aid, that is to say, without any other principle, it is not only possible but necessary for several actual things to be regarded as reciprocally parts constituting a whole. But I shall show presently that these are plainly not rational notions, nor the bonds which they form objective ideas, but phenomena; and that though they witness, to be sure, some principle which is the common universal bond, it is not set forth by them.
III. Universality, which is the absolute allness of the appertaining parts. For, regard being had to any given composite, though it may be besides a part of another, still there always obtains a certain comparative allness, namely, that of the parts belonging to it as a particular quantity. But in this case whatsoever things are regarded as mutually parts of whatsoever whole, are understood to be conjointly posited. This absolute totality, apparently an everyday and perfectly obvious concept, especially when, as happens in the definition, it is enunciated negatively, when canvassed thoroughly becomes the crucial test of the philosopher. For it is scarce conceivable how the inexhaustible series of the states of the universe succeeding one another eternally be reducible to a whole comprehending all changes whatsoever. Since it is necessary to very infinitude to be without end, and hence no successive series is given but what is the part of another, completeness or absolute totality is by parity of reasoning plainly excluded. For although the notion of a part can be taken in a universal sense, and although everything contained under this notion, if regarded as posited in the same series, constitutes unity, yet the concept of the whole appears to exact their all being taken simultaneously, which in the case given is impossible. For, although to the whole series nothing succeeds, there is given in the succession no posited series to which nothing succeeds, unless it be the last. There will, then, in eternity be something which is last, which is absurd. Perhaps some may think that the difficulty which besets a successive infinite is absent from a simultaneous infinite, for the reason that apparently simultaneity plainly professes to embrace all at the same time. But, if the simultaneous infinite be admitted, the successive infinite also will have to be conceded, and the negation of the latter cancels the former. For the simultaneous infinite offers matters everlastingly inexhaustible to a successive progress in infinitum through its innumerable parts, which numberless series actually being given in the simultaneous infinite, a series though inexhaustible by successive addition could be given as a whole. In solution of the perplexing problem note; that both the successive and the simultaneous co-ordination of several things, since they rest upon the concept of time, do not pertain to the intellectual concept of a whole, but only to the conditions of sensuous intuition; hence though not sensuously conceivable, they do not on that score cease being intellectual concepts. For in order to the latter it suffices that co-ordinates be given, no matter how, and that they be thought of as all pertaining to a unit.
SECTION II
ON THE DISTINCTION BETWEEN THE SENSIBLE AND THE INTELLIGIBLE GENERALLY
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Sensibility is the receptivity of a subject by which it is possible for its representative state to be affected in a certain way by the presence of some object. Intelligence, rationality, is the faculty of a subject by which it is able to represent to itself what by its quality cannot enter the senses. The object of sensibility is sensuous; what contains nothing but what is knowable by the intellect is intelligible. In the older schools the former was called phenomenon, the latter noumenon. To the extent to which knowledge is subject to the laws of sensuousness it is sensuous; to the extent to which it is subject to the laws of intelligence it is intellectual or rational.
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Since whatever is in sensuous knowledge depends upon the subject’s peculiar nature, as the latter is capable of receiving some modification or other from the presence of objects which on account of subjective variety may be different in different subjects, whilst whatever knowledge is exempt from such subjective condition regards the object only, it is plain that what is sensuously thought is the representation of things as they appear, while the intellectual presentations are the representations of things as they are. Now there is in sense representation something which may be called the matter, namely, the sensation, and in addition to this something which may be called the form, namely, the appearance of the sensible things, showing forth to what extent a natural law of the mind co-ordinates the variety of sensuous affections. Furthermore, as the sensation constituting the matter of sensuous representations argues, to be sure, the presence of something sensible, but depends as to quality on the nature of the subject, as the latter is modifiable by the object; exactly so does the form of that representation witness certainly some reference or relation among the sensuous percepts, but itself is not, as it were, the shadowing forth or outlining of the object, but only a certain law inherent in the mind for co-ordinating among themselves sensuous percepts arising from the presence of the object. For by form or appearance the objects do not strike the sense, hence in order that various sense-affecting objects may coalesce into some whole of representation, there is need of an inner principle of the mind by which, in accordance with stable and innate laws, that variety shall take on some appearance.
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To sensual cognition then pertains both the matter which is sensation and by which the knowledge