79. Kant calls the argument, by which we have just proved the simplicity of the soul, the second paralogism of psychology. He gives it in these terms: "Every thing, the action of which can never be conceived as the concurrence of many agents, is simple: the soul or thinking substance is of this nature; therefore the soul is simple." The German philosopher admits that this argument is not a mere sophism, invented by some dogmatist for the purpose of giving his assertions a slight appearance of truth; and he confesses that it seems to defy the most attentive examination and the most profound reflection. Still he flatters himself that he can expose its fallacy, showing that this principal support of rational psychology is a false foundation, and that, consequently, the whole edifice of this science is built in the air.
80. Kant observes that the nervus probandi of the argument is in the fact that many representations cannot form a thought, except inasmuch as they are contained in the absolute unity of the thinking subject; "but no one," he says, "can prove this proposition by conceptions. Where could he begin? The proposition: 'A thought can only be the effect of the absolute unity of the thinking subject,' cannot be analyzed; the unity of thought (and even thought results from many representations) is collective; and as to simple conceptions, their unity may just as well be referred to the collective unity of substances which contribute to produce the thought (just as the motion of a body is the motion of all its parts) as to the absolute unity of the subject. The necessity of the supposition of a simple substance cannot consequently be known by the rule of identity in a composite thought. No one who understands the reason of the possibility of synthetic judgments a priori, as we have explained them above, will dare to affirm that this proposition can be known synthetically, and perfectly a priori, or by pure conceptions." This reasoning is pure sophistry, and will vanish in the light of evidence.
81. In the first place, it is not correct to say that all thoughts result from many representations; in the perception of a simple idea, as of being, for example, there are not many representations; therefore Kant's argument fails at the first step; for if there be even one thought which requires simplicity, it has already been demonstrated that, if the soul is simple in one instance it cannot cease to be so in another.
82. Let us now examine how the diversity of representations enter into those thoughts which admit of this diversity. When these representations form what is called a thought, they are united, as it were, in a point which requires the unity of the perception and of the subject perceiving. In the thought called judgment various representations are combined, that of the subject and that of the object; but these different representations do not constitute the thought called judgment, except inasmuch as they are presented as connected with the relation which authorizes us to affirm or deny the predicate of the subject; therefore at the bottom of the diversity there is unity, that is to say, the relation; therefore the thought by which this relation is perceived is one, and the action of perceiving is essentially one, notwithstanding the variety of the representations.
83. There is no order in our thoughts except as we compare them with each other: all our intellectual acts are reduced to the perception and comparison of ideas; in perception there is simplicity, as there must also be in comparisons, since there can be no comparison of that which is varied, except by reducing the varied to that which is one, that is, to the relation which is perceived in the comparison. Therefore in every thought there is unity; thought can never be conceived as the concurrence of many agents; therefore the proposition, which Kant considered indemonstrable, is demonstrated,—that many representations cannot form a thought except in so far as they are contained in the absolute unity of a thinking subject.
84. Let us present the same demonstration under a stricter form. Suppose A, B, C, to be the three agents concurring in the formation of the thought; each part will yield its contingent; let us suppose a to correspond to the first, b to the second, and c to the third, the result will be the union composed of a, b, and c; this will be the thought; it will therefore be triple and can never constitute a point of comparison; therefore, we must either reject this hypothesis, or deny thought. Kant's sophism proceeds from his attending solely to the diversity of the representations, and abstracting the unity which is always met with in the perception of this diversity; hence it is nothing strange that he does not find unity in the conception of thought. He presents this conception incompletely, or rather, falsely; he presents thought as a collection of representations, and not as a most simple point in which representations unite, in order to be perceived in the relation which they have among themselves. The diversity of the representations does not form a collection after the manner of sensible objects; the thought, in which the relation of two different triangles is known, cannot be expressed by the sum of the figures of the two triangles; it is something different from them; something which is in the midst of them; which unites them by comparing them, and which joins their diversity in the unity of their relation.
85. The example brought by Kant manifests the rudeness of his idea of the character of the union of the representations in the formation of a whole thought. The unity of the thought is, he says, collective, and may be referred to the collective unity of many substances, just as the motion of a body is the motion composed of all the parts of the body. Here we see clearly wherein Kant's equivocation consists; he takes the collection of the representations for the thought which relates to them, and therefore it is no wonder that he cannot see the unity implied in the diversity, on the supposition that this diversity has to be thought.
To carry conviction to the farthest point, let us take this example of motion, and suppose a cube to be moved. Let us call its eight verticles A, B, C, D, E, F, G, H; they all move, and the collection of their motions, with those of the points which are between them, forms the whole motion. What is there common in the result of this concurrence of agents? Nothing, except juxtaposition in space, and the relation which they preserve by the equal velocity of the motion. But the motion of the vertex H is not the motion of the vertex A, as is evident if we consider that the vertex A may be cut off from the cube, and remain at rest without discontinuing or altering the motion of the vertex H; therefore, the two motions are things absolutely distinct. It is evident that the same holds true with respect to the other points; therefore the unity of the composite motion is purely factitious; what there is, in reality, is a multiplicity of substances, and of motions, without any other than a purely extrinsical connection, the relation of positions in space.
Let us change the vertices into representations, and see what will be the result. Do they exist without any other connection than their co-existence? Then they do not form a thought, but only a collection of phenomena which may be considered as a union of things, but not a thought; in that case the sum of all the representations will be similar to the sum of the motions; but it will produce no result in relation to the object which we are now examining. If we give these representations a point of union, that is, the relation under which they are perceived, we shall have a thought; but what has this act, which is one and most simple, in common with, the totality of a number of points in motion?