It is only in its general content and taken as a whole that Wolff's philosophy is the philosophy of Leibnitz, that is to say, only in relation to the fundamental determinations of monads and to the theodicy - to these he remained faithful; any other content is empiric, derived from our feelings and desires. Wolff likewise accepted in their entirety all the Cartesian and other definitions of general ideas. Hence we find in him abstract propositions and their proofs mingled with experiences, on the indubitable truth of which he builds a large part of his propositions; and he must so build and derive his foundations if a content is to result at all. With Spinoza, on the contrary, no content is to be found excepting absolute substance and a perpetual return into the same. The greatness of Wolff's services to the culture of Germany, which now, appeared quite independently and without any connection with an earlier and profounder metaphysical standpoint (supra, p. 350), are in proportion to the barrenness and inward contentless condition into which Philosophy had sunk.
This he divided into its formal disciplines, spinning it out, into determinations of the understanding with a pedantic application of geometric methods; and, contemporaneously with the English philosophers, he made the dogmatism of the metaphysics of the understanding fashionable, that is a, philosophizing which determines the absolute and rational by means of self-exclusive thought-determinations and relationships (such as one and many, simple and compound, finite and infinite, causal connection, &c.). Wolff entirely displaced the Aristotelian philosophy of the schools, and made Philosophy into an ordinary science pertaining to the German nation. But besides this he gave Philosophy that systematic and requisite division into sections which has down to the present day served as a sort of standard.
In theoretic philosophy Wolff first treats of Logic purified from scholastic interpretations or deductions; it is the logic of the understanding which he has systematized. The second stage is Metaphysics, which contains four parts: first there is Ontology, the treatment of abstract and quite general philosophic categories, such as Being and its being the One and Good; in this abstract metaphysic there further comes accident, substance, cause and effect, the phenomenon, &c. Next in order is Cosmology, a general doctrine of body, the doctrine of the world; here we have abstract metaphysical propositions respecting the world, that there is no chance, no leaps or bounds in nature - the law of continuity. Wolff excludes natural science and natural history. The third part of the metaphysic is rational psychology or pneumatology, the philosophy of the soul, which deals with the simplicity, immortality, immateriality of the soul. Finally, the fourth is natural theology, which sets forth the proofs of the existence of God.(2) Wolff also inserts (chap. iii.) an empirical psychology. Practical philosophy he divides into the Rights of Nature, Morality, the Rights of Nations or Politics, and Economics.
The whole is propounded in geometric forms such as definitions, axioms, theorems, scholia, corollaries, &c. In mathematics the understanding is in its proper place, for the triangle must remain the triangle. Wolff on the one hand started upon a large range of investigation, and one quite indefinite in character, and on the other, held to a strictly methodical manner with regard to propositions and their proofs. The method is really similar to that of Spinoza, only it is more wooden and lifeless than his. Wolff applied the same methods to every sort of content - even to that which is altogether empirical, such as his so-called applied mathematics, into which he introduces many useful arts, bringing the most ordinary reflections and directions into the geometric form. In many cases this undoubtedly gives his work a most pedantic aspect, especially when the content directly justifies itself to our conception without this form at all. For Wolff proceeds by first laying down certain definitions, which really rest upon our ordinary conceptions, since these he translated into the empty form of determinations of the understanding. Hence the definitions are merely nominal definitions, and we know whether they are correct only by seeing whether they correspond to conceptions which are referred to their simple thoughts. The syllogism is the form of real importance in this mode of reasoning, and with Wolff it often attains to its extreme of rigidity and formalism.
Under mathematics, which is the subject of four small volumes, Wolff also treats of architecture and military science. One of the propositions in Architecture is this: "Windows must be wide enough for two persons." The making of a door is also propounded as a task, and the solution thereof given. The next best example comes from the art of warfare. The "Fourth proposition. The approach to the fortress must always be harder for the enemy the nearer he comes to it." Instead of saying because the danger is greater, which would be trivial, there follows the "Proof. The nearer the enemy comes to the fortress, the greater the danger. But the greater the danger the greater the resistance that must be offered in order to defy the attacks, and, so far as may be, avert the danger. Hence the nearer the enemy is to the fort the harder must the approach be made for him. Q.E.D."(3) Since the increase of the danger is given as the reason, the whole is false, and the contrary may be said with equal truth. For if at the beginning all possible resistance is offered to the enemy, he cannot get nearer the fortress at all, and thus the danger cannot become greater.
The greater resistance has a real cause, and not this foolish one - namely, that because the garrison is now at closer quarters, and consequently operates in a narrow field, it can offer a greater resistance. In this most trivial way Wolff proceeds with every sort of content. This barbarism of pedantry, or this pedantry of barbarism, represented as it is in its whole breadth and extent, necessarily brought itself into disrepute; and without there being a definite consciousness of the reason why the geometric method is not the only and ultimate method of knowledge, instinct and an immediate consciousness of the foolishness of its applications caused this method to be set aside.
C
