Landmarks of Scientific Socialism: "Anti-Duehring"

by Friedrich Engels

The entire fallacy would not be possible if it were not for the mathematical practice of operating with an infinite series. Because in mathematics one must proceed from the given and finite to that which is not given and infinite, all mathematical series whether positive or negative, begin with a fixed point otherwise one cannot calculate. The ideal necessities of the mathematician however are very far from being a law compulsory upon the universe.

Besides Herr Duehring will never succeed in imagining an infinity without contradiction. In the first place, infinity is a contradiction and full of contradictions. For example it is a contradiction that infinity should be made up of finite things and yet such is the case. The notion of a limited universe leads to contradictions just as much as the notion of its unlimitedness, and each attempt to abolish these contradictions leads, as we have seen, to new and worse contradictions. But just because infinity is a contradiction, it is without end, endlessly developing itself in time and space. The abolition of the contradiction would be the end of infinity. Hegel saw that very clearly, and covers the people who entered upon intricate arguments about this contradiction with merited scorn.

Let us proceed. Now, time has had a beginning. What was before this beginning? The unchangeable universe incomparable with anything else. And as no changes occur in this condition the particular concept time is transformed into the general concept existence. In the first place we have nothing to do with the transformation which goes on in the brain of Herr Duehring. We are not engaged with a concept of time, but with actual time of which Herr Duehring cannot so easily dispose. In the second place no matter how much the concept of time is transformed into the general concept existence it does not bring us one step nearer the goal. For the fundamental forms of all existence are space and time, and a thing existing outside of time is as silly an idea as that of a being outside of space. The Hegelian "past existence in which there was no time" and the neo-Schelling "being beyond the scope of thought" are rational conceptions compared with this being outside of time. For this reason Herr Duehring goes to work very cautiously "intrinsically it may be called time, but one cannot really call it time, as time does not consist in itself of real parts but is merely divided by us into parts to suit our own convenience," only a real filling up of time with distinct facts makes it capable of calculation. It is impossible to see the significance of piling up an empty duration. But it does not matter anyway. The question is whether the universe in this presupposed condition continues, that is persists, through a period of time. We have long known that it is useless to try and measure such empty space and to calculate without plan or aim and just because of the tiresomeness of such a proceeding Hegel calls this infinity "miserable." According to Herr Duehring time exists only by virtue of change, not change in and through time. Because time is different from change and independent of it, we can measure it by the changes, because in order to measure we need something different from that which is to be measured. And the time in which no recognisible changes take place is very far from being no time, on the other hand since it is free from other ingredients, it is pure, that is to say, true time. Indeed if we want to contemplate time as a pure concept separated from all foreign admixture, we are obliged to eliminate all the various events which occur in time, either successively or simultaneously, and thus imagine a time in which nothing occurs. By this means we have not permitted the concept time to be overcome by the general concept of existence, but we have thereby arrived at a pure time concept. All these contradictions and impossibilities are mere child's play compared with the confusion into which he plunges the universe with its self-sufficient commencement. If the universe was in a condition in which no change occurred in it, how did it ever manage to get from that state to one of change? Moreover, an absolute condition of absence of change existing from eternity cannot possibly get out of that state unaided so as to pass over to a condition of progress and change. A first cause of motion must therefore have come from the outside, from beyond the universe, which caused the movement. This first cause of motion is clearly only another term for God, The God and the Beyond of which Herr Duehring fancied that he had so nicely settled in his scheme of the universe, return sharpened and deepened in his natural philosophy.

Further Herr Duehring says: "Where a fixed element of existence is capable of measurement, it will remain in unalterable stability. This is evident from material and mechanical force." The former quotation gives, it may be incidentally mentioned, a good example of Herr Duehring's axiomatic grandiloquence. Fixed quantities remain exactly the same, the quantity of mechanical force, once in the universe, is always the same. We will not dwell on this, so far as it is true, Descartes knew and said it three hundred years ago as regards philosophy, while in mechanical science the doctrine of the conservation of energy has been preached for the last twenty years. Herr Duehring has not improved upon it in so far as he limits it to mechanical energy. But where was mechanical energy at the period of unchangeableness? To this question Herr Duehring stubbornly refuses an answer.

Where was the unchangeable mechanical force then, Herr Duehring, and what was it busy about? Answer: "The original state of the universe, or, better, the existence of unchangeable matter, not allowing of any changes in time, is a question which no mind can pass except one which sees the acme of wisdom in the destruction of its own powers." Therefore you must either take my original condition with your eyes shut, or I, the lusty Eugene Duehring, brand you as an intellectual eunuch. Some people might be quite alarmed about this, but we who have seen a few examples of Herr Duehring's powers, can let the elegant abuse pass and reiterate the question, "But how about that mechanical energy, Herr Duehring, if you please?"

Herr Duehring is staggered at once. In fact, he stammers, "There is no proof of the actual existence of that original condition. Let us remember that this is also the case with each new step in the series with which we are acquainted. He therefore who will make difficulties in the foregoing case may see that he does not avoid them in the smaller apparent cases. Besides, the possibility exists that there are successively graduated intermediate states inserted, and thus there is a stable bridge by the means of which we can work backwards to the solution of the problem. As a matter of fact this notion of stability does not assist the main thought, but it is for us the fundamental form of regular progression, and of each transition known so far, so that we have a right to consider it as intermediate between the first original state and its disturbance. But if we consider the independent condition of equipoise from the point of view of mathematical concepts as, admittedly, without independent existence, there is no need of indicating the mode in which matter came into a dynamic condition." Outside of the mechanics of matter a change in movement of matter depends upon a change in the movement of the most insignificant particles. "Up to the present we have no universal principle of knowledge and we must therefore not be surprised if we are somewhat in the dark as to these matters."

That is all that Herr Duehring has to say, and we should seek the very pinnacle of wisdom not alone in a mutilation of the creative faculty, but in blind superstition, if we were to let the matter pass with these foolish evasions and statements. Absolute stability has no power of change in itself, Herr Duehring admits this. The absolute condition of equipoise possesses no means by which it can pass into a dynamic state. What have we then? Just three false and foolish phrases.

In the first place, Herr Duehring says that to show the transition from each most insignificant step in the chain of things with which we are acquainted to the next presents the same difficulty. He seems to think that his readers are infants. The proof of the transitions and interrelations of the most insignificant links in the chain of existence is just what constitutes the subject matter of natural science. If there is an impediment anywhere, nobody, not even Herr Duehring, thinks to explain the development as proceeding from nothing, but on the other hand as only proceeding from transition, change, and forward movement from a completed evolutionary stage. Here, however, he undertakes to show with reference to matter that it proceeds from absence of movement and therefore from nothing.

In the second place, we have the "stable bridge." This does not help us appreciably over the difficulty, but we have a right to use it as a bridge between rigid stability and motion. Unfortunately stability consists in absence of motion, and the question as to the generation of motion remains as dark a secret as before. And if Herr Duehring shifts his no-movement at all to universal movement in infinitely small particles and ascribes to this ever so long a duration of time, we are still not the thousand part of an inch further from the place whence we started. Without a creative act we can get nothing from nothing, not even anything as small as a mathematical differential. The bridge of stability is therefore not even a pons asinorum. Herr Duehring is the only person able to cross it.

Thirdly, as long as the present theories of mechanics prevail, this constitutes one of Herr Duehring's most reliable props, we cannot indicate how anything passes from a state of quiescence to one of motion. But the mechanical theory of heat teaches us that the movement of the mass depends upon the movements of the molecules, (so that even in this case movement proceeds from other movement and not from lack of movement) and this Herr Duehring shyly points out might serve as a bridge between the entirely static (the state of equipoise) and the dynamic (self-movement). But here Herr Duehring leaves us entirely in the dark. All his deepening and sharpening has dug a pit of folly and we are brought up necessarily in "darkness." But Herr Duehring troubles himself very little about that. He says right on the next page, with considerable audacity that he has been able to endow the self contained stability with real significance by means of the properties of matter and the mechanical forces.