[1. Leibnitz.]
As in other respects Leibnitz represents the extreme antithesis to Newton, so in respect of philosophy he presents a striking contrast to Locke and his empiricism, and also to Spinoza. He upholds thought as against the perception of the English school, and in lieu of sensuous Being he maintains Being for thought to be the essence of truth, just as Boehme at an earlier time upheld implicit Being. While Spinoza asserted the universality, the oneness of substance merely, and while with Locke we saw infinite determinations made the basis, Leibnitz, by means of his fundamental principle of individuality, brings out the essentiality of the opposite aspect of Spinoza’s philosophy, existence for self, the monad, but the monad regarded as the absolute Notion, though perhaps not yet as the “I.” The opposed principles, which were forced asunder, find their completion in each other, since Leibnitz’s principle of individuation completed Spinoza’s system as far as outward aspect goes.
Gottfried Wilhelm, Baron von Leibnitz, was born in 1646 at Leipzig, where his father was professor of Philosophy. The subject that he studied in view of a profession was jurisprudence, but first, in accordance with the fashion of the day, he made a study of Philosophy, and to it he devoted particular attention. To begin with, he picked up in Leipzig a large and miscellaneous stock of knowledge, then he studied Philosophy and mathematics at Jena under the mathematician and theosophist Weigel, and took his degree of Master of Philosophy in Leipzig. There also, on the occasion of his graduation as Doctor of Philosophy, he defended certain philosophical theses, some of which discourses are still contained in his works (ed. Dutens, T. II. P. I. p. 400). His first dissertation, and that for which he obtained the degree of doctor of philosophy, was: De principio individui,—a principle which remained the abstract principle of his whole philosophy, as opposed to that of Spinoza. After he had acquired a thorough knowledge of the subject, he wished to graduate also as Doctor of Laws. But though he died an imperial councillor, it was his ill fortune to receive from the Faculty at Leipzig a refusal to confer the doctorate upon him, his youth being the alleged reason. Such a thing could scarcely happen now-a-days. It may be that it was done because of his over-great philosophical attainments, seeing that lawyers are wont to hold the same in horror. He now quitted Leipzig, and betook himself to Altdorf, where he graduated with distinction. Shortly afterwards he became acquainted in Nürnberg with a company of alchemists, with whose ongoings he became associated. Here he made extracts from alchemistic writings, and studied the mysteries of this occult science. His activity in the pursuit of learning extended also to historical, diplomatic, mathematical and philosophical subjects. He subsequently entered the service of the Elector of Mayence, becoming a member of council, and in 1672 he was appointed tutor to a son of Von Boineburg, Chancellor of State to the Elector. With this young man he travelled to Paris, where he lived for four years. He at this time made the acquaintance of the great mathematician Huygens, and was by him for the first time properly introduced into the domain of mathematics. When the education of his pupil was completed, and the Baron Von Boineburg died, Leibnitz went on his own account to London, where he became acquainted with Newton and other scholars, at whose head was Oldenburg, who was also on friendly terms with Spinoza. After the death of the Elector of Mayence, the salary of Leibnitz ceased to be paid; he therefore left England and returned to France. The Duke of Brunswick-Lüneburg then took him into his service, and gave him the appointment of councillor and librarian at Hanover, with permission to spend as much time as he liked in foreign countries. He therefore remained for some time longer in France, England, and Holland. In the year 1677 he settled down in Hanover, where he became busily engaged in affairs of state, and was specially occupied with historical matters. In the Harz Mountains he had works constructed for carrying off the floods which did damage to the mines there. Notwithstanding these manifold occupations he invented the differential calculus in 1677, on occasion of which there arose a dispute between him and Newton, which was carried on by the latter and the Royal Society of London in a most ungenerous manner. For it was asserted by the English, who gave themselves the credit of everything, and were very unfair to others, that the discovery was really made by Newton. But Newton’s Principia only appeared later, and in the first edition indeed Leibnitz was mentioned with commendation in a note which was afterwards omitted. From his headquarters in Hanover, Leibnitz, commissioned by his prince, made several journeys through Germany, and also went to Italy in order to collect historical evidence relative to the House of Este, and for the purpose of proving more clearly the relationship between this princely family and that of Brunswick-Lüneburg. At other times he was likewise much occupied with historical questions. Owing to his acquaintance with the consort of Frederick I. of Prussia, Sophia Charlotte, a Hanoverian princess, he was enabled to bring about the foundation of an Academy of Science in Berlin, in which city he lived for a considerable time. In Vienna he also became acquainted with Prince Eugène, which occasioned his being appointed finally an Imperial Councillor. He published several very important historical works as the result of this journey. His death took place at Hanover in 1716, when he was seventy years of age.[242]
It was not only on Philosophy, but also on the most varied branches of science that Leibnitz expended toil and trouble and energy; it was to mathematics, however, that he specially devoted his attention, and he is the inventor of the methods of the integral and differential calculus. His great services in regard to mathematics and physics we here leave out of consideration, and pay attention to his philosophy alone. None of his books can be exactly looked on as giving a complete systematic account of his philosophy. To the more important among them belongs his work on the human understanding (Nouveaux essais sur l’entendement humain) in reply to Locke; but this is a mere refutation. His philosophy is therefore scattered through various little treatises which were written in very various connections, in letters, and replies to objections which caused him to bring out one aspect of the question more strongly than another; we consequently find no elaborated systematic whole, superintended or perfected by him. The work which has some appearance of being such, his Théodicée, better known to the public than anything else he wrote, is a popular treatise which he drew up for Queen Sophia Charlotte in reply to Bayle, and in which he took pains not to present the matter in very speculative form. A Wurtemberg theologian, Pfaff by name, and others who were correspondents of Leibnitz and were themselves only too well versed in philosophy, brought it as a charge against Leibnitz—a charge which he never denied—that his philosophy was written in popular form.[243] They laughed very much afterwards at Wolff, who had taken them to be quite in earnest; his opinion was that if Leibnitz were not perfectly serious in this sense with his Théodicée, yet he had unconsciously written his best therein. Leibnitz’s Théodicée is not what we can altogether appreciate; it is a justification of God in regard to the evil in the world. His really philosophic thoughts are most connectedly expressed in a treatise on the principles of Grace (Principes de la Nature et de la Grace),[244] and especially in the pamphlet addressed to Prince Eugène of Savoy.[245] Buhle (Geschichte der neuern Philosophie, vol. iv. section 1, p. 131) says: “His philosophy is not so much the product of free, independent, original speculation, as the result of well-tested earlier” and later “systems, an eclecticism whose defects he tried to remedy in his own way. It is a desultory treatment of Philosophy in letters.”
Leibnitz followed the same general plan in his philosophy as the physicists adopt when they advance a hypothesis to explain existing data. He has it that general conceptions of the Idea are to be found, from which the particular may be derived; here, on account of existing data, the general conception, for example the determination of force or matter furnished by reflection, must have its determinations disposed in such a way that it fits in with the data. Thus the philosophy of Leibnitz seems to be not so much a philosophic system as an hypothesis regarding the existence of the world, namely how it is to be determined in accordance with the metaphysical determinations and the data and assumptions of the ordinary conception, which are accepted as valid[246]—thoughts which are moreover propounded without the sequence pertaining to the Notion and mainly in narrative style, and which taken by themselves show no necessity in their connection. Leibnitz’s philosophy therefore appears like a string of arbitrary assertions, which follow one on another like a metaphysical romance; it is only when we see what he wished thereby to avoid that we learn to appreciate its value. He really makes use of external reasons mainly in order to establish relations: “Because the validity of such relations cannot be allowed, nothing remains but to establish the matter in this way.” If we are not acquainted with these reasons, this procedure strikes us as arbitrary.
a. Leibnitz’s philosophy is an idealism of the intellectuality of the universe; and although from one point of view he stands opposed to Locke, as from another point of view he is in opposition to the Substance of Spinoza, he yet binds them both together again. For, to go into the matter more particularly, on the one hand he expresses in the many monads the absolute nature of things distinguished and of individuality; on the other hand, in contrast to this and apart from it, he expresses the ideality of Spinoza and the non-absolute nature of all difference, as the idealism of the popular conception. Leibnitz’s philosophy is a metaphysics, and in sharp contrast to the simple universal Substance of Spinoza, where all that is determined is merely transitory, it makes fundamental the absolute multiplicity of individual substances, which after the example of the ancients he named monads—an expression already used by the Pythagoreans. These monads he then proceeds to determine as follows.
Firstly “Substance is a thing that is capable of activity, it is compound or simple, the compound cannot exist without the simple. The monads are simple substances.” The proof that they constitute the truth in all things is very simple, it is a superficial reflection. For instance, one of Leibnitz’s maxims is “Because there are compound things, the principles of the same must be simple, for the compound consists of the simple.”[247] This proof is poor enough, it is an example of the favourite way of starting from something definite, say the compound, and then drawing conclusions therefrom as to the simple. It is quite light in a way, but really it is tautology. Of course, if the compound exists, so does the simple, for the compound means something in itself manifold whose connection or unity is external. From the very trivial category of the compound it is easy to deduce the simple. It is a conclusion drawn from a certain premiss, but the question is whether the premiss is true. These monads are not, however, something abstract and simple in itself, like the empty Epicurean atoms, which, as they were in themselves lacking in determination, drew all their determination from their aggregation alone. The monads are, on the contrary, substantial forms, a good expression, borrowed from the Scholastics (supra, p. 71), or the metaphysical points of the Alexandrian School (Vol II. p. 439), they are the entelechies of Aristotle taken as pure activity, which are forms in themselves (Vol II. pp. 138, 182, 183). “These monads are not material or extended, nor do they originate or decay in the natural fashion, for they can begin only by a creative act of God, and they can end only by annihilation.”[248] Thereby they are distinguished from the atoms, which are regarded simply as principles. The expression creation we are familiar with from religion, but it is a meaningless word derived from the ordinary conception; in order to be a thought and to have philosophic significance, it must be much more closely defined.
Secondly: “On account of their simplicity the monads are not susceptible of alteration by another monad in their inner essence; there is no causal connection between them.” Each of them is something indifferent and independent as regards the rest, otherwise it would not be an entelechy. Each of them is so much for itself that all its determinations and modifications go on in itself alone, and no determination from without takes place. Leibnitz says: “There are three ways in which substances are connected: (1) Causality, influence; (2) The relation of assistance; (3) The relation of harmony. The relation of influence is a relation pertaining to a commonplace or popular philosophy. But as it is impossible to understand how material particles or immaterial qualities can pass from one substance into another, such a conception as this must be abandoned.” If we accept the reality of the many, there can be no transition at all; each is an ultimate and absolutely independent entity. “The system of assistance,” according to Descartes, “is something quite superfluous, a Deus ex machina, because continual miracles in the things of nature are assumed.” If we, like Descartes, assume independent substances, no causal nexus is conceivable; for this presupposes an influence, a bearing of the one upon the other, and in this way the other is not a substance. “Therefore there remains only harmony, a unity which is in itself or implicit. The monad is therefore simply shut up in itself, and cannot be determined by another; this other cannot be set into it. It can neither get outside itself, nor can others get inside it.”[249] That is also Spinoza’s way of regarding matters: each attribute entirely represents the essence of God for itself, extension and thought have no influence on each other.
In the third place, “however, these monads must at the same time have certain qualities or determinations in themselves, inner actions, through which they are distinguished from others. There cannot be two things alike, for otherwise they would not be two, they would not be different, but one and the same.”[250] Here then Leibnitz’s axiom of the undistinguishable comes into words. What is not in itself distinguished is not distinguished. This may be taken in a trivial sense, as that there are not two individuals which are alike. To such sensuous things the maxim has no application, it is prima facie indifferent whether there are things which are alike or not; there may also be always a difference of space. This is the superficial sense, which does not concern us. The more intimate sense is, however, that each thing is in itself something determined, distinguishing itself from others implicitly or in itself. Whether two things are like or unlike is only a comparison which we make, which falls within our ken. But what we have further to consider is the determined difference in themselves. The difference must be a difference in themselves, not for our comparison, for the subject must have the difference as its own peculiar characteristic or determination, i.e. the determination must be immanent in the individual. Not only do we distinguish the animal by its claws, but it distinguishes itself essentially thereby, it defends itself, it preserves itself. If two things are different only in being two, then each of them is one; but the fact of their being two does not constitute a distinction between them; the determined difference in itself is the principal point.
Fourthly: “The determinateness and the variation thereby established is, however, an inward implicit principle; it is a multiplicity of modifications, of relations to surrounding existences, but a multiplicity which remains locked up in simplicity. Determinateness and variation such as this, which remains and goes on in the existence itself, is a perception;” and therefore Leibnitz says all monads perceive or represent (for we may translate perceptio by representation [Vorstellung]). In other words, they are in themselves universal, for universality is just simplicity in multiplicity, and therefore a simplicity which is at the same time change and motion of multiplicity. This is a very important determination; in substance itself there is negativity, determinateness, without its simplicity and its implicitude being given up. Further, in it there is this idealism, that the simple is something in itself distinguished, and in spite of its variation, that it yet remains one, and continues in its simplicity. An instance of this is found in “I,” my spirit. I have many conceptions, a wealth of thought is in me, and yet I remain one, notwithstanding this variety of state. This identity may be found in the fact that what is different is at the same time abrogated, and is determined as one; the monads are therefore distinguished by modifications in themselves, but not by external determinations. These determinations contained in the monads exist in them in ideal fashion; this ideality in the monad is in itself a whole, so that these differences are only representations and ideas. This absolute difference is what is termed the Notion; what falls asunder in the mere representation is held together. This is what possesses interest in Leibnitz’s philosophy. Such ideality in the same way pertains to the material, which is also a multiplicity of monads; therefore the system of Leibnitz is an intellectual system, in accordance with which all that is material has powers of representation and perception. As thus representing, the monad, says Leibnitz, possesses activity; for activity is to be different, and yet to be one, and this is the only true difference. The monad not only represents, it also changes; but in doing so, it yet remains in itself absolutely what it is. This variation is based on activity. “The activity of the inner principle, by means of which it passes from one perception to another, is desire (appetitus).” Variation in representation is desire, and that constitutes the spontaneity of the monad; all is now complete in itself, and the category of influence falls away. Indeed, this intellectuality of all things is a great thought on the part of Leibnitz: “All multiplicity is included in unity;”[251] determination is not a difference in respect of something else, but reflected into itself, and maintaining itself. This is one aspect of things, but the matter is not therein complete; it is equally the case that it is different in respect of other things.